nature electronics Article https://doi.org/10.1038/s41928-024-01189-x Permeable, three-dimensional integrated electronic skins with stretchable hybrid liquid metal solders Received: 16 August 2023 Accepted: 22 May 2024 Qiuna Zhuang 1,10, Kuanming Yao 2,10, Chi Zhang3, Xian Song1, Jingkun Zhou 2, Yufei Zhang 1, Qiyao Huang1,4, Yizhao Zhou5, Xinge Yu & Zijian Zheng 1,3,4,8,9 2,6,7 Published online: xx xx xxxx Check for updates The development of wearable and on-skin electronics requires high-density stretchable electronic systems that can conform to soft tissue, operate continuously and provide long-term biocompatibility. Most stretchable electronic systems have low-density integration and are wired with external printed circuit boards, which limits functionality, deteriorates user experience and impedes long-term usability. Here we report an intrinsically permeable, three-dimensional integrated electronic skin. The system combines high-density inorganic electronic components with organic stretchable fibrous substrates using three-dimensional patterned, multilayered liquid metal circuits and stretchable hybrid liquid metal solder. The electronic skin exhibits high softness, durability, fabric-like permeability to air and moisture and sufficient biocompatibility for on-skin attachment for a week. We use the platform to create wireless, battery-powered and battery-free skin-attached bioelectronic systems that offer complex system-level functions, including the stable sensing of biosignals, signal processing and a­na­ly­sis, e­le­ctrostimulation and wireless communication. Soft and stretchable integrated electronic systems that offer continuous sensing and intervention capabilities are of potential use in intensive care1, rehabilitation2, closed-loop diagnosis and treatment3 and virtual reality/augmented reality4. Recent progress in stretchable electronics has been achieved by developing novel materials5–11 and architectures12–14 for stretchable electronics. In particular, structural approaches based on lateral-strain-tolerant island–bridge engineering (for example, buckle, serpentine and spring structures)15,16 and vertical-strain-isolation engineering17–19 have enabled conventional rigid integrated circuit (IC) components to be integrated with stretchable polymeric substrates. Such stretchable hybrid electronics have the advantages of mature IC design and manufacture as well as matching the mechanical properties of soft organs and tissues20–23. To achieve stretchable electronics with high density and multiple functions, it is necessary to develop three-dimensional (3D) stretchable integrated systems24. The development of 3D stretchable electronics is, however, still in its early stages and only a few systems have been reported24–28 (Supplementary Table 1). One challenge is creating robust Laboratory for Advanced Interfacial Materials and Devices, School of Fashion and Textiles, The Hong Kong Polytechnic University, Hong Kong SAR, China. 2Department of Biomedical Engineering, City University of Hong Kong, Hong Kong SAR, China. 3Department of Applied Biology and Chemical Technology, The Hong Kong Polytechnic University, Hong Kong SAR, China. 4Research Institute for Intelligent Wearable Systems (RI-IWEAR), The Hong Kong Polytechnic University, Hong Kong SAR, China. 5College of Information Science and Electronics Engineering, Zhejiang University, Hangzhou, China. 6 Hong Kong Centre for Cerebro-Cardiovascular Health Engineering (COCHE), Hong Kong Science Park, Hong Kong SAR, China. 7Hong Kong Institute for Clean Energy, City University of Hong Kong, Hong Kong SAR, China. 8Research Institute for Smart Energy (RISE), The Hong Kong Polytechnic University, Hong Kong SAR, China. 9State Key Laboratory of Ultra-precision Machining Technology, The Hong Kong Polytechnic University, Hong Kong SAR, China. 10 These authors contributed equally: Qiuna Zhuang, Kuanming Yao. e-mail: xingeyu@cityu.edu.hk; tczzheng@polyu.edu.hk 1 Nature Electronics Article interfaces between the rigid components and stretchable circuits in 3D space28. Another challenge is that 3D stretchable electronics are typically fabricated using multilayered sequential casting of elastomeric films, such as polydimethylsiloxane (PDMS), and the bonding of rigid chips. This usually results in the thickness of the entire 3D stack being higher than 1 mm, which deteriorates conformability and stretchability compared with single-layer electronic skins. In addition, thick- or thin-film-based 3D stacks lack permeability29,30, which is important for wearer comfort and long-term biocompatibility31–33. Recently, we reported a permeable and stretchable multilayered device using a liquid metal (LM) fibre mat33. However, there remain technical challenges related to integrating functional electronic components into such fibre mats, which restricts the development of highly integrated, stretchable and permeable electronics. In this Article, we report a permeable, 3D integrated electronic skin (P3D-eskin) that combines high-density inorganic electronic components with organic stretchable fibrous substrates using 3D patterned, multilayered LM circuits and hybrid liquid metal (hLM) solder. Our P3D-eskin replaces impermeable and rigid printed circuit boards with a skin-like stretchable, soft and breathable design form factor as well as maintains complex system-level and continuous functions such as data acquisition, signal processing and analysis, intervention and wireless communication with a mobile device. The P3D-eskin consists of a micropatterned permeable and stretchable multilayered circuit board made of LM and fibre mats. We use a stretchable hLM solder that reliably maintains a stable electrical interface between the rigid IC components and soft LM interconnects at up to 1,500% strain without electrical failure. We achieve 3D integration among the different layers by engineering the vertical penetration of LM to form stretchable vertical interconnect accesses (VIAs). The P3D-eskin exhibits high air and moisture permeability and prevents skin inflammation over long-term skin attachment. Compared with a stretchable PDMS-based electronic skin (PDMS-eskin), the system-level thickness is reduced by ~54% and rigidity, by ~60%. Our electronic skin also exhibits advanced, complex and monolithic system-level integration compared with previously reported permeable electronic systems that avoid using external printed circuit boards (Supplementary Table 2). We use the platform to fabricate bioelectronic devices that can continuously record and wirelessly transmit multiposition physiological signals. https://doi.org/10.1038/s41928-024-01189-x As shown in Fig. 1a and Supplementary Fig. 1, the P3D-eskin typically consists of four stretchable and permeable layers including a base LM circuit layer, a top LM circuit layer, a paste mask layer bonded with rigid electronic components using a stretchable hLM solder and an encapsulation layer. Eutectic gallium-based alloys are selected as the LM due to their high stretchability and low modulus as a liquid34–38, high electrical conductivity39–42, excellent biocompatibility43–46 and patternability47–49. The detailed fabrication procedures of P3D-eskin are illustrated in Extended Data Fig. 1 and Methods. Briefly, we first fabricated the base circuit layer (40–100 μm) and the top circuit layer (40–100 μm) made of LM micropatterns on the stretchable fibrous mat using a combination of photolithography, pattern transfer and stencil printing process (Methods, Supplementary Note 1 and Supplementary Figs. 2 and 3). The micropatterned LM served as the stretchable antenna, interconnects, pads and contacts, whereas the vertical electrical connections between the base and top layer were achieved using LM VIAs. Subsequently, we bonded the rigid electronic components onto the LM circuits using an hLM comprising a combination of partially oxidized liquid metal (oLM) and LM. We printed the oLM on the paste mask layer made of thin fibrous poly(styrene-block-butadiene-block-styrene) (SBS; 15–30 μm), which was previously deposited on the top circuit layer (Fig. 1b). Pins of rigid electronic components (Supplementary Table 3), including light-emitting diodes (LEDs), microcontroller unit (MCU), oscillator, multiplexer (MUX), current mirror, digital–analogue converter (DAC), operational amplifier (OP-AMP), high-voltage module (HV, 20 V) and low-dropout regulator (LDO, 3.3 V), were adhered onto the printed oLM pads. We then applied additional LM pastes on the pin/oLM interfaces (Fig. 1c). Finally, the encapsulation layer (~50 μm), also made of a permeable but waterproof SBS mat, was directly electrospun to conformally cover the entire 3D hybrid electronic circuit. The microporous fibrous structure of the electrospun fibre mat allows air and moisture (water vapour) to pass through it (Supplementary Fig. 4a), whereas the intrinsic hydrophobicity of the SBS fibre mat (Supplementary Fig. 4b), which shows a large water contact angle of 127° (Supplementary Fig. 4c), can repel water droplets. Therefore, permeability and waterproofness are achieved at the same time. The P3D-eskin was extremely soft (Fig. 1d) and highly stretchable, showing a stable electrical function under a large tensile strain of 550% (Fig. 1e). It offers wireless, continuous and comfortable physiological monitoring and intervention of the human body through a mobile device interface (Supplementary Video 1). Importantly, because the P3D-eksin was fabricated based on the porous and fibrous substrate, interlayer and encapsulation, it also has very high permeability (Fig. 1f) compared with impermeable, 3D stretchable electronics made with elastic thin films and bulks. The air and moisture permeabilities of P3D-eskin reached 177 mm s−1 and 676 g m−2 day−1, which is 15-fold and 44-fold higher than medical tapes and 3-fold and 22-fold higher than commonly used wound dressing, respectively (Fig. 1g; Methods provides details). The waterproofness of the P3D-eskin system was assessed using a standard rain test. After spraying water onto the front side of the P3D-eskin system for 2 min, no observable water was found on the blotting paper (Supplementary Fig. 5 and Supplementary Video 2). Further, we also tested the stability of the P3D-eskin system in water and artificial sweat (pH 4.7 ± 0.1). We fabricated an LED-embedded P3D-eskin system and immersed it in both liquids. Electrical stability was indicated by the stable luminance of the LEDs in water and in artificial sweat (Supplementary Fig. 6 and Supplementary Video 3). The P3D-eskin possesses high chronic biocompatibility; the skin area covered by the P3D-eskin maintained inflammation-free characteristics during one week of on-skin attachment. As a reference, we also fabricated a similar 3D eskin using thin PDMS as the substrate, interlayer and encapsulation material (Supplementary Fig. 7). The PDMS-eskin was thicker by ~54% and more rigid by ~60%, and hardly showed any permeability to air and a poor moisture permeability below 50 g m−2 day−1 due to the compact and thin-film type of layout following the conventional spin-coating and casting processes. Although PDMS is known as a biocompatible material, the impermeability of Fig. 1 | P3D-eskins. a, Exploded schematic of a typical P3D-eskin. LM microelectrodes are adopted as the reliable interface between the soft, rough fibre mat substrate and the rigid components. VIAs are used for interlayer electrical connections. The key components in each layer include an MCU, oscillator, MUX, current mirror, DAC, OP-AMP, HV (20.0 V) and LDO (3.3 V). The dashed lines indicate the distribution and positions of VIAs in the system. b, Digital image of permeable 3D LM circuits and oLM pads. c, Digital images of the soft and stretchable P3D-eskin with hLM solder. d,e, Digital images showing the stable electrical performance of the bent (d) and stretched (550% strain) (e) P3Deskin. f, Schematic showing the permeability of P3D-eskin to air and moisture. g, Air and moisture permeabilities of several wearable substrates including P3Deskin, PDMS-eskin reference, wound dressing, medical tape and cotton fabric. Bar height, mean; error bars, standard deviation (s.d.); n = 5 independent tests. h, Digital images showing the skin status after attaching P3D-eskin and PDMS-eskin for one week. The area covered by P3D-eskin was inflammation free, whereas that covered by PDMS-eskin displays serious skin erythema. Design and fabrication of P3D-eskins Nature Electronics Article https://doi.org/10.1038/s41928-024-01189-x a b Permeable but waterproof superstrate oLM pads Current mirror Electronic components 3D LM circuits OP-AMP DAC LDO 3.3 V LED MCU HV 20.0 V MUX Oscillator oLM paste mask layer 3 mm c Upper layer of LM 3D circuits LM an te nn a VI As Base layer of LM 3D circuits pply t) er su Pow l contac a rn (exte HV output (external contact) d GND 3 mm e 1 cm g h 800 250 200 150 400 100 200 50 0 in ss ta dr e al nd ou W Nature Electronics g pe in ic Se sk M ed M es ki PD DP3 Fa n 0 Air permeability (mm s–1) 600 br ic P3D-eskin Moisture permeability (g m–2 day–1) f 1 cm Attachment on skin for one week P3D-eskin After peeling off the eskins PDMS-eskin 2 cm Article multilayered PDMS-eskin resulted in skin erythema under the on-skin attachment test (Fig. 1h). hLM solders for reliable 3D electrical interfaces To achieve high stretchability and stability of P3D-eskin, it is a critical challenge to ensure a seamless interface among the different vertical layers that provide necessary electrical insulation and connection, as well as stable interfaces between the soft LM and rigid electronic chips that can endure large deformations. To address this challenge, we formulated two different kinds of LM ink, namely, pristine LM and oLM (Extended Data Fig. 2), serving as a stretchable hLM solder for the 3D circuit. The pristine LM showed high fluidity but low wettability to the fibrous SBS substrate (Supplementary Fig. 8) and it was used for the fabrication of stretchable circuit antennas, interconnects and VIAs on the base and top circuit layers. As such, the base and top circuits retain high in-plane stretchability and out-of-plane insulation, unless they were connected with VIAs. However, connecting the rigid pins with the pristine LM resulted in poor stretchability; the pin/LM interface fell apart during stretching due to the dewetting of LM (Fig. 2a). In contrast, the wettability of oLM was much higher because oxidation reduces the surface tension of LM50–54. oLM was, therefore, chosen to print on the paste mask layer as contact pads, providing good adhesion between the soft LM circuits underneath and the rigid pins of the electronic components. Nevertheless, due to the low stretchability of oLM, the pin/oLM interface also broke apart when the 3D circuit was stretched (Fig. 2b). We, therefore, developed the ultrastretchable hLM solder, which made use of the wettability advantage of oLM as well as the stretchability attribute of LM. As shown in Fig. 2c, an additional pristine LM paste was applied at the pin/oLM interface to form the hLM solder (Fig. 2c). Importantly, the hybrid connection method reduced the stress concentration factor (the ratio of the maximum stress to average stress, that is, σmax/σavg) at the interface between the rigid chip and soft SBS by 30% (Fig. 2d and Supplementary Fig. 9), compared with those using either single-component pristine LM or oLM as the connection material (Supplementary Table 4). As a result, the hybrid connection provided outstanding interfacial stability even under large tensile strains. The resistance of a 100 Ω rigid microresistor bonded with an hLM solder showed negligible change when the circuit was stretched to 1,500% strain (Fig. 2e). In contrast, the same circuit using either LM or oLM as the solder failed when stretched to less than 50% strain. Figure 2f shows the schematic of the 3D circuit using the hLM solder. It should be noted that due to its high wettability, the oLM spontaneously penetrated through the thin paste mask (SBS) layer to connect with the LM circuit traces underneath (in this specific case, the top LM circuit layer). As a consequence, a vertical electrical connection between the pin/oLM and the LM 3D circuit underneath was formed. At the same time, the top LM circuit layer was connected with the base LM circuit layer using stretchable LM VIAs. As shown in Fig. 2g, there was no obvious interfacial gap among the different layers of the P3D-eskin because all the fibrous SBS mats were deposited using the electrospinning method. The interfaces remained seamless during stretching or bending deformation. Fig. 2 | Reliable 3D hybrid interfaces using ultrastretchable hLM solder. a–c, Schematic and SEM images showing the electrical interfaces of rigid components using pristine LM (a), oLM (b) and hLM solder (c). Scale bars, 200 μm. d, FEA of stress distribution of the electrical interface using ultrastretchable hLM solder. e, Electrical resistance of the electrical interfaces of microresistors (0603, ~100 Ω) using pristine LM, oLM and hLM solder. f, Schematic of the 3D electrical connection and interfaces between the rigid IC and ultrastretchable hLM solder. oLM serves as the contact pads, whereas pristine LM serves as the patterned in-plane interconnects, VIAs and additional contact paste. g, Cross-sectional SEM Nature Electronics https://doi.org/10.1038/s41928-024-01189-x As a proof of concept of the stable 3D interfaces, we attached different kinds of rigid electronic component, including microresistors, metal–oxide–semiconductor field-effect transistors (MOSFETs) (Supplementary Video 4) and LEDs to the stretchable 3D LM circuit and then tested their performances under large strains. Connecting to different microresistors ranging from 100 Ω to 1 MΩ, the resistance of the circuit showed negligible change when stretched to 1,500% strain (Fig. 2h) and remained stable during 1,000 cycles of stretch–release tests (Fig. 2i). The stable brightness of the LED during the stretching process also indicated the constant resistance of the stretchable circuit (Supplementary Fig. 10). The stretchable p-type (Fig. 2j and Supplementary Fig. 11a) and n-type (Fig. 2k and Supplementary Fig. 11b) MOSFET circuits also showed stable transfer and output characteristics under large strains up to 500%. We further fabricated stretchable logic circuits including the clock-controlled switch (Fig. 2l,m), inverse gate, NOT-OR (NOR) gate and 3D switch array with the MOSFETs (Extended Data Fig. 3). These logic circuits could normally operate in the logic output states under various strains. After storing for eight months, the initial electrical resistance of the LM circuit before cycling increased slightly from 0.33 to 0.42 Ω. During the stretching tests, samples previously stored in air showed similarly high electrical stability and robustness. The electrical resistances only increased by 0.119 and 0.083 Ω for the freshly made sample and stored sample after the cycling tests, respectively (Supplementary Fig. 12a). Additionally, the electrical interfaces between the LM circuits and microresistors also possessed high stretchability and electrical stability after storage for eight months (Supplementary Fig. 12b). The failure modes of the solder joints after long-term repeated cycling tests are discussed in Supplementary Note 2 and Supplementary Fig. 13. To assess any leakage concerns when the LM 3D circuits are pressed on the arm before mounting the components, the LM 3D circuits did not leak onto the skin even with a high pressure of up to 50 kPa (Supplementary Fig. 14a). After the on-skin pressing test, the LM 3D circuits remained intact without any merging of the lines (Supplementary Fig. 14b and Supplementary Video 5). Additionally, the P3D-eskin system with the coverage of the superstrate was still well encapsulated at a large strain of 850% (Supplementary Fig. 15). Long-range wireless transcutaneous electrostimulation system Figure 3a illustrates the block diagram of a wireless transcutaneous electrostimulation and electrophysiological sensing system fabricated based on the P3D-eskin platform. It was equipped with a Bluetooth Low Energy (BLE) 5.1 built-in MCU and matched with a 2.4 GHz BLE LM antenna (planar inverted F-shaped antenna), which was capable of providing stable wireless control and data transmission functions with the mobile device at a distance of up to 15 m (Fig. 3b). The embedded electrostimulating electrodes could generate high-voltage electrical pulses with precisely controlled current intensity, frequency and duty cycle for delivering electrical stimulations to the user’s/animal’s body. By controlling the on/off period of the MUX, the generated d.c. high voltage was transformed into periodical pulses with precisely controlled frequency (1–100 Hz) and duty cycle (1–10%) (Fig. 3c). images showing a rigid microchip integrated with the 3D LM circuit at 0 and 50% strain. The interfaces between the rigid chip and LM circuit are well maintained under the large tensile strain, and the LM circuit is stretched in 3D space. h,i, Electrical resistances of a series of highly stretchable microresistor-integrated 3D LM circuits. The electrical resistances show outstanding stability when the circuits are stretched to 1,500% for 1,000 cycles. j,k, Transfer characteristics of stretchable p-type (j) and n-type (k) MOSFETs. l,m, Digital image (l) and logic outputs (m) of a stretchable logic circuit (clock-controlled switch) fabricated with stretchable MOSFETs. FPC, flexible printed circuit. Article https://doi.org/10.1038/s41928-024-01189-x Importantly, because of the high permeability of P3D-eskin, the generation of electrical pulses did not show any signal drift or electrical failure (Fig. 3d,e) even when the entire P3D-eskin was steamed on top of boiling water (Fig. 3f and Supplementary Video 6). In contrast, water droplets accumulated on the surface of the impermeable PDMS-eskin (Supplementary Fig. 16). The output voltage of the DAC of the P3D-eskin was controlled by sending the setting commands on the mobile device (Supplementary d a 0% 1,500% Pa (×105) LM w/o strain Stretching 4 2 0 b e oLM w/o strain 0% 10 1,500% 6 10 5 LM oLM hLM R (Ω) Stretching c 10 4 10 0% hLM w/o strain 1,500% 3 10 2 10 Stretching 1 0 20 40 1,460 1,480 1,500 Strain (%) f g 3D integrated electrical interface at 0% strain LM (solder paste) Rigid IC LM LM VIA Self-penetrated oLM Pad oLM (pad) Paste mask 200 µm Top layer of LM 3D circuit 100 µm 10 0.1 MΩ 4 10 R (Ω) R (Ω) 1.0 MΩ 5 10 3 10 1.5 kΩ 2 0.1 MΩ 4 10 3 10 @1,500% strain 1,000 cycles 1.5 kΩ 2 10 10 100 Ω 1 100 Ω 10 0 500 1,000 Strain (%) 1,500 0 10 Strain 0% 10% 100% 200% 300% 500% 80 60 40 20 1 10 2 10 3 10 Strain 0% 10% 100% 200% 300% 500% –100 –80 –60 –40 –20 0 1 10 k –120 100 Drain current (mA) 1.0 MΩ 5 j 6 10 Drain current (mA) i 6 10 50 µm 200 µm Base layer of LM 3D circuit h 0 –1 Stretching cycles 0 1 –2 2 Gate voltage (V) m 1 cm VOUT VCLK Connected with FPC and encapsulated with permeable superelastic fibre mat –1 0 1 Gate voltage (V) VIN (V) l 25 50 75 100 75 50 25 Strain(%) 1 3 0 3 0 1 0 1 3 0 0 0 0 5 10 15 20 Time (s) Nature Electronics 50 µm LM 3D circuit trace 3D integrated electrical interface at 50% strain Stretchable LM VIA Insulating mat 50 µm 25 30 35 Article https://doi.org/10.1038/s41928-024-01189-x a b Stimulation generator 20 V booster HV MUX BLE DAC MCU OP-AMP Current mirror Current control 3.3 V regulator 15 Battery m Power management 15 10 5 e 30 Dry state 10 Hz 25 Hz 50 Hz 5 Hz 25 Voltage (V) 20 Voltage (V) d 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% @100 Hz 25 100 Hz 20 15 10 1 2 3 4 0 5 Steamed state 10 Hz 25 Hz 50 Hz 0.5 20 15 10 1.0 0 1.5 0.5 g 2.0 Permeated moisture 1.0 1.5 Time (s) Time (s) Time (s) f 100 Hz 0 0 0 5 Hz 5 5 0 30 25 Voltage (V) c h 60 60 Dry state Steamed state Current (mA) 1.5 Commands: 0× (2 bytes) 50 50 1.0 4A 4A 45 45 0.5 40 40 0 1 cm 0 4 8 12 16 1 cm 20 Time (ms) i Stimulation artefact j M-wave peak Input: wirelessly delivered electrostimulation pulses 1 Hz Output: induced EMG signals 150 ms 10 mV 10 Hz Frequency (kHz) 20 5 Hz 0.4 0.3 0 0.2 0.1 –20 0 0 0.2 0.4 0.6 0.8 Power/frequency (dB Hz–1) 0.5 1.0 Time (s) Fig. 3 | Wireless transcutaneous electrostimulation and electrophysiological sensing using P3D-eskin. a, Brief block diagram of the sensing system and the customized mobile app. Electrical stimulations can be delivered to the bicep femoris on a rat, and the corresponding EMG signals were recorded using the LM microelectrode. b, Digital image showing the long-range wireless communication of the sensing system at a distance of 15 m. c, Generated stimulation pulses with controlled duty cycle ranging from 1% to 10%, frequency fixed at 100 Hz. d,e, Generated stimulation pulses with controlled repetition frequencies ranging from 5 Hz to 100 Hz in the dry state (d) and steamed state Nature Electronics (e). f, Digital image showing the P3D-eskin was steamed on top of boiling water. g, Generated stimulation current pulses with controlled current intensity under different wirelessly sent commands (0×40 to 0×60) at the dry and steamed states (fixed load, 1 kΩ). h, Digital image of the wireless transcutaneous electrostimulation and electrophysiological sensing system based on the P3D-eskin platform. The system was attached to the bicep femoris of a rat. i, Evoked EMG response signals under stimulation frequencies of 1, 5 and 10 Hz. j, Spectrogram of the EMG signals in response to the electrostimulation input generated by the P3D-eskin at a frequency of 5 Hz. Article https://doi.org/10.1038/s41928-024-01189-x a b d f Cu antenna Cu antenna at 50% strain Pa 9 Superstrate 10 Components 10 8 7 1 cm c oLM paste mask layer 10 1 cm 6 10 e LM antenna at 50% strain LM antenna 5 10 4 10 3 10 LM antenna 2 10 h Cu 0% strain Cu 50% strain 5 i 2.5 LM 50% strain LM 300% strain 3 1.5 1.0 2 5 10 15 0 20 10% 20% 30% 30 0 50% 100% –30 200% 250% –60 0 50 Frequency (MHz) 100 150 200 250 –90 1.5 0% 20% 1.2 50% 200% 10 15 l 0.6 0.3 20 5 10 20 T 20 °C; RH 45% 38 10 Body temperature (°C) 30 Dry skin 0 Inflammatory after exercise n 35 T 30 °C; RH 70% 38 30 30 Continuous sleep monitoring 25 20 P3D-eskin 10 Testing area 20 PDMS-eskin 0 1 2 3 4 5 6 7 Body temperature (°C) Temperature (°C) 15 Frequency (MHz) 20 15 100% 250% m PDMS-eskin Sweat o 30% 0.9 Frequency (MHz) P3D-eskin Inflammation free after exercise 10% 0 5 Strain (%) k j 0% 60 0.5 0 90 2.0 LM 0% strain 4 1 cm Phase (°) 6 Q factor Inductance (µH) g 1 cm Impedance (kΩ) Substrate 0 8 Time (h) Fig. 17). The generated current pulses passed from the skin-interfacing LM electrostimulating electrodes, through the body and into the current mirror of the current control module, where the current intensity was precisely set in the range from 0 to 2 mA (Fig. 3g). The actual current intensity was transformed into a safely sensible voltage for the MCU by Nature Electronics an OP-AMP described in the literature4. The electrostimulation output waveforms and controlled current intensities under stretching states were very consistent and stable, demonstrating system-level stability when stretching (Supplementary Fig. 18). We utilized the P3D-eskin to deliver electrostimulations to the bicep femoris of a rat (Fig. 3h). We Article https://doi.org/10.1038/s41928-024-01189-x Fig. 4 | Battery-free stretchable NFC system based on the P3D-eskin platform. a, Exploded schematic of battery-free P3D-eskins using NFC technology. The system included a stretchable LM antenna, stretchable printed LM microcircuit integrated with microchips (MCU for NFC, analogue–digital converter and sensors) and permeable fibre mats as the encapsulation and substrate. b,c, Digital images of the NFC P3D-eskins before (b) and after (c) the encapsulation of permeable superelastic fibre mat. d,e, Digital images of the stretchable NFC antennas using conventional serpentine Cu coil (d) and intrinsically stretchable LM coil (e). Both antennas are stretched at 50% strain. f, FEA of the stress distribution of stretchable antennas under biaxial stretching (50% strain) using Cu serpentine and intrinsically stretchable LM. g, Inductance of serpentine Cu antenna (five turns) and intrinsically stretchable LM antenna (ten turns) with the same coverage area as a function of frequency at various strains. h–j, Q factor (h), phase (i) and impedance (j) of the stretchable LM antenna at various strains. k,l, Digital images of the skin inflammatory states after covering with P3D-eskin (k) and PDMS-eskin (l) for 30 min exercise. m,n, Thermal imagery of an adult body using 40 NFC P3D-eskin arrays, depicting multiposition body temperature in cool/dry (m) and warm/humid (n) environments. o, Continuous temperature monitoring of an adult body during sleeping using P3D-eskin, PDMS-eskin and gold standard (commercial infrared thermal imager). The error band (shade) in the figure stands for s.d., and the scatter value represents the mean value. recorded the real-time electromyography (EMG) signals at adjacent areas on the rat’s bicep femoris. During the stimulation period, the corresponding EMG responded to various frequencies (1, 5 and 10 Hz) (Fig. 3i) and matched well with the stimulation input (Fig. 3j), which proved that electrical stimulations were successfully delivered with the wireless P3D-eskin system. with a commercial infrared thermal imager. In the testing conditions, P3D-eskin possessed an initial smaller cooling load, making a smaller thermal impact on the skin than the PDMS-eskin (Supplementary Fig. 23). Additionally, the permeable characteristic of P3D-eskin allowed better convective heat transfer between the air and skin, which is closer to the real situation where bare skin can regulate the body temperature compared with an unbreathable dressing with heat conduction only. Further, the P3D-eskin was softer and more stretchable, allowing a more conformal contact with the skin, and may, thus, reduce thermal artefacts with smaller signal fluctuations. Battery-free P3D-eskin system We also developed a battery-free P3D-eskin using near-field communication (NFC) technology (Fig. 4a). The NFC P3D-eskin before and after the final encapsulation is shown in Fig. 4b,c, respectively. It is also highly flexible and stretchable (Supplementary Fig. 19a). The LM antenna coils of the NFC outperform serpentine Cu coils in terms of design compactness, stretchability and electromagnetic stability. To achieve good stretchability, conventional stretchable Cu antenna coils were fabricated in the shape of the serpentines, which greatly reduced the coil density (Fig. 4d). In contrast, due to the intrinsic stretchability of LM, the LM coil was much more compact at the same occupied area. The turn number of the LM coil was twice that of the Cu antenna (Fig. 4e and Supplementary Fig. 19b). Moreover, the Cu antenna only sustained a stretchability of up to 50% strain, at which point the jump wire and interconnects with the components were disconnected (Supplementary Fig. 19c), whereas the LM antenna was well connected even at a strain of 300%. Finite-element analysis (FEA) results indicated that this is because the stress distribution of the LM antenna was much more uniform than that of the Cu antenna. The stress concentration factor of the LM coil was 586-fold lower than that of the Cu coil (Fig. 4f and Supplementary Table 4). Furthermore, the LM coil showed higher inductance than the Cu coil (Fig. 4g and Supplementary Fig. 19d,e). The quality (Q) factor (Fig. 4h), phase (Fig. 4i) and impedance (Fig. 4j) of the LM coil showed high stability under various tensile strains and working distances (Supplementary Fig. 20), within a readable frequency of ~13.56 MHz. We developed a temperature-sensing NFC P3D-eskin to continuously record the temperature distribution of different positions of the human body (Supplementary Fig. 21). Continuous monitoring of body temperature during daily activities such as sitting, walking and exercising could be stably monitored using a customized mobile application (Supplementary Fig. 22). P3D-eskins offer a high degree of wearing comfort and biocompatibility with skin health. Wearing the P3D-eskin during intensive exercise did not lead to the accumulation of sweat, thereby avoiding skin dampness, allergy and inflammation (Fig. 4k), whereas the skin covered by the PDMS-eskin showed obvious skin erythema (Fig. 4l). Thermal imagery of an adult male body in cool/dry (Fig. 4m) and hot/humid (Fig. 4n) environments could be depicted by the multiposition physiological temperature mapping using 40 NFC P3D-eskin arrays. We recorded the body temperature during continuous sleep monitoring for 8 h (Fig. 4o). Importantly, not only did the P3D-eskin show a more stable signal recording with lower signal variations than PDMS-eskin but the temperature values recorded from the P3D-eskin were also in good accordance with the standard temperature recorded Nature Electronics Conclusions Bioelectronics that incorporate commercially available electronic components (such as high-performance and inexpensive chips) with stretchable printed circuits can provide high-quality and continuous health monitoring and interventions. For long-term use, permeable and stretchable 3D integrated electronic systems are needed. However, 3D integrated stretchable electronics that have high integration density typically use impermeable, compact and thin-film materials as the substrate, interlayer and encapsulation layers (Supplementary Table 1), whereas systems with high permeability have low integration density (Supplementary Table 2). We have developed a P3D-eskin that enables rigid electronic components to be integrated with stretchable fibrous substrates in a 3D configuration. A stretchable hybrid LM solder was developed to provide a reliable interface between the rigid components and the soft LM circuit, forming a vertical electrical connection by LM VIA and electrical insulation by fibre mat. Our integration strategy allows us to fabricate multilayered soft and stretchable circuits using layer-by-layer fabrication of in situ electrospun fibre mats and micropatterned LM circuits connected by stretchable VIAs (Supplementary Fig. 24 and Supplementary Video 7). Compared with eskins made with stretchable thin-film substrates, the P3D-eskin is lighter, thinner, softer and more stretchable. It also exhibits long-term biocompatibility in an on-skin test. Methods Materials All the processing solvents were used as received. Dextran (Sigma-Aldrich), LM, eutectic GaIn (LM, melting point, 15.7 °C; Sigma-Aldrich), negative photoresist (NR9-1500P, Futurrex), developer for NR9-1500P (DR6, Futurrex) and SBS (Kraton) were used as received. Fabrication of P3D-eskins The fabrication procedure of multilayered LM circuits combines (1) the photopatterning, pattern transfer, selective wetting method and (2) the stencil printing of LM, which took both advantages of photopatterning and stencil printing techniques (Supplementary Note 1 and Supplementary Figs. 2 and 3). Here we patterned the permeable and stretchable LM microelectrodes to create stretchable antennas, traces, connections and contacts for the microcircuit. Specifically, a sacrificial layer was prepared on the wafer by spin coating a dextran solution Article (10 wt% in water) at 4,000 r.p.m. for 40 s. After baking treatment (80 °C for 1 min and 180 °C for 30 min), a negative photoresist (NR9-1500P) was subsequently spin coated on the dextran-coated wafer, followed by photolithography and developing process. Ag microcircuit (top layer of the 3D circuit) was created using the lift-off treatment of the deposited Ag film (300 nm thick) by thermal evaporation. A fibrous SBS mat (40–100 μm thick, insulating layer) was directly electrospun on the Ag microcircuit. The polymer solution was prepared by dissolving the SBS polymer with a weight ratio of 13 wt% in the mixed solvent (tetrahydrofuran/dimethylformamide = 3:1). The voltage was set as 18 kV and the collecting distance was 15 cm. After dissolving the dextran layer with deionized water, the Ag microcircuit was then transferred to the SBS mat44. The Ag microcircuit layer was selectively wet with LM in the glovebox, cut into a square-shaped piece and covered with a thin electrospun SBS mat (15–30 μm thick, paste mask layer). The selective wetting of LM lies in contrast between the LM lyophobic property of the SBS mat and the LM lyophilic property of Ag. In the fabrication of the LM microcircuit, EGaIn wets only the Ag-covered areas because of reactive alloying, and dewets from the SBS surface because of the high intrinsic surface tension of LM. When applying EGaIn on Ag, reactive alloying between Ag and In forms AgIn alloys. Additional EGaIn will subsequently wet the AgIn alloy layer and form the EGaIn/AgIn/Ag trilayer (Supplementary Fig. 25). We then flipped over this top circuit layer and stencil printed the LM traces of the base circuit layer. After electrospinning another SBS mat (40–100 μm thick) as the substrate, we engineered the VIAs between the two layers of the 3D LM circuits by the laser-cutting method (LPKF ProtoLaser U4) and filled these VIAs with LM. We flipped over the circuit board again and stencil printed the oLM ink. The oLM ink was prepared by heating pristine LM in air at a set temperature of 80 °C for 16 h. The oLM was printed onto the paste mask layer via a customized mask, serving as contact pads for the electronic components. After placing the components on the paste mask layer, additional pristine LM paste was applied at the pin/oLM interfaces to form the ultrastretchable hLM solders. Here the weight ratio between the oLM pad and LM paste was 1:2. A detailed circuit diagram design and printed circuit board design are provided in Supplementary Fig. 1. The components are listed in Supplementary Table 3. Key components in each layer included an MCU, oscillator, MUX, current mirror, DAC, OP-AMP, HV (20.0 V) and LDO (3.3 V). For the wireless communication, the P3D-eskin system was equipped with a BLE 5.1 built-in MCU (CC2640, Texas Instruments) and a matched 2.4 GHz LM BLE antenna (planar inverted F-shaped antenna) to achieve data acquisition, transmission and functional control by simply using a smartphone with a mobile app. Code Composer Studio was used for MCU programming. The Android application used for communication by mobile devices was developed by Android Studio. The power of P3D-eskin was supplied by a lithium-ion battery, and the voltage was regulated by the LDO (Supplementary Fig. 26a,b). Finally, the whole permeable stretchable circuit board was conformally encapsulated with a permeable but waterproof SBS mat to ensure stable operations. Fabrication of PDMS-eskins As a reference, we also fabricated 3D eskins with the same device design and configuration using thin PDMS as the substrate, interlayer and encapsulation material. First, a layer of PDMS (SYLGARD 184, 10:1) was spin coated (500 r.p.m., 30 s) onto the clean and dry glass sheet, and cured in the oven (80 °C, 30 min). Meanwhile, two Cu/polyimide films (18.0/12.5 μm) were laser cut (LPKF ProtoLaser U4) into patterns on the top and bottom layers of the circuit, respectively. Picked up by water-soluble tapes, their polyimide side was deposited with Ti/ SiO2 layers (5/100 nm) by electron-beam evaporation as the adhesive interface between the circuits and PDMS substrate. After treating both surfaces with ultraviolet–ozone for 5 min, the base layer of the circuit pattern was transferred onto the PDMS substrate with strong Nature Electronics https://doi.org/10.1038/s41928-024-01189-x bonding. Rinsing in water removed the water-soluble tape. Another layer of PDMS was spin coated in the same way on top of the bottom circuit layer and cured, which functioned as the intermediate insulating layer. The laser-cutting method was used to fabricate VIAs on the PDMS layer. The top Cu circuit layer was then transferred and printed onto the insulating layer in the same way after ultraviolet–ozone treatment and aligning with the base layer. Then, the VIAs were filled with commercial soldering paste, and the electronic components were placed on paste-applied pads. The components were soldered onto the multilayered circuit with a hot-wind blower. Finally, the circuit board was fully encapsulated by casting the PDMS solution and curing it in the oven (80 °C, 15 min). Characterizations The morphology of the LM 3D circuits and surface oxidation states of the oLM were explored using scanning electron microscopy (SEM; TESCAN VEGA3) and X-ray photoelectron spectroscopy (Thermo Fisher Scientific Xesa), respectively. Both air permeability and moisture permeability tests were performed at constant temperature (22 °C) and humidity (63%). The air permeability tests were conducted according to the ASTM D737-08 standard using a MO21S air permeability tester (SDL America) with an airflow pressure of 100 kPa. Moisture permeability tests were performed according to the E96/E96M-13 standard with the cup method. The testing duration was 72 h. The waterproofness of the P3D-eskin system was characterized by a standard rain test according to AATCC Test Method 35–2006. The sample size was set as 20 cm × 20 cm, and the water-spraying duration was 2 min. The sweat-resistance tests of the P3D-eskin system were performed by immersing the P3D-eskin system in water and artificial sweat (pH, 4.7 ± 0.1; ZW-HY-1000, Zhongwei Equipment) with a stirring rate of 300 r.p.m. The luminance stability of the embedded LEDs inside the P3D-eskin system indicated the sweat resistance of the system. The statistic values (mean and s.d.) were obtained with three to six parallel samples. Each sample was tested for at least three times. The mechanical properties of the materials were characterized using a universal testing machine (Instron 5566). The electrical resistance of the resistors connected with the LM, oLM and hLM under different strains was measured by a four-terminal method with a source meter (Keithley 2400) coupled with a customized stretching machine (Zolix). The output and transfer characteristics of the stretchable MOSFETs and multilayer stretchable switch array were characterized using a semiconductor analyser (Keithley 4200A-SCS parameter analyser) connected with a probe station (Micromanipulator) and a customized stretching setup. The stretchable logic circuits were characterized using a digital oscilloscope (Rigol). FEA Static structural mechanics of the systems were analysed using FEA. Material mechanical parameters are summarized in Supplementary Table 4. The modulus of LM and oLM was measured from the stress– strain curves. Since LM or oLM was neither a self-supporting material nor pure liquid (with the inevitable existence of an oxide layer), here we tested Young’s modulus of LM or oLM supported with the substrate (SBS fibre mat). Accordingly, Young’s modulus values of the LM traces (LM on the SBS fibre mats) were adopted for FEA of the stress distribution of the electrical interfaces. We conducted a sensitivity test by varying the modulus of LM ranging from 0.1 Pa (fluid-like substance) to 1011 Pa (near the modulus of Cu) and observed the change in stress concentration factor (the ratio of maximum stress to average stress). The modulus of LM showed little influence on the stress concentration factor within the modulus range of 0.1 Pa to 1 MPa, of which all these stress concentration factors were much smaller than those in the controlled groups of simulations (for example, Al2O3 for chip and Cu antenna; Supplementary Fig. 27). Four systems were investigated, namely, serpentine Cu antenna, intrinsically stretchable LM antenna, a chip with LM or oLM solder and a chip with hLM solder. These systems were Article https://doi.org/10.1038/s41928-024-01189-x subjected to mechanical tension of 50% strain. The stress responses were collected. The ratio of maximum stress to average stress (σmax/σavg) was used as the stress concentration factor. The input parameters and output results of the FEA are summarized in Supplementary Table 4. Reporting summary Animal experiments Source data are provided with this paper. Other data that support the findings of this study are available from the corresponding authors upon request. The animal experiments followed the Ethical Review of Research Experiments Involving Animal Subjects (A-0664) approved by the Research Committee (Animal Research Ethics Sub-Committee) of the City University of Hong Kong. Before transcutaneous electrical stimulations and electrophysiological signal recording, a healthy male Sprague Dawley rat (aged 4–5 weeks, ~200 g) was utilized for bicep femoris muscle stimulation. The rat was first treated with gaseous light anaesthesia (isoflurane, 3%), followed by deep anaesthesia by an intraperitoneal injection of a mixed solution of ketamine (100 mg kg−1) and xylazine (10 mg kg−1). The hair on the skin of both legs was shaved for attaching the P3D-eskin patch. Wireless transcutaneous electrostimulations and recording the corresponding EMG signals All the procedures involving the on-skin attachment of P3D-eskins and PDMS-eskins on the human body followed ethical guidelines, which were approved by The Hong Kong Polytechnic University (HSEARS20230101001). Before the on-skin attachment, we adopted a biocompatible, soft and wet-adhesion adhesive55 to adhere the edges of the eskins (PDMS-eskin and P3D-eskin) onto the skin. The electrostimulation process was wirelessly controlled via a mobile-Android-system-based mobile phone. The anode and common cathode were applied to the animal’s skin to form a closed circuit. The current control module was connected between the ground (GND) of the circuit and the common cathode, providing a virtual ground potential that changed according to the permitted current. The permitted current intensity was controlled by a simple current mirror circuit. The current intensity in the second transistor was identical to the reference current through the first transistor by sharing the same gate (G) and source (S). By sending predefined serial commands to the DAC, the voltage was precisely controlled in the range of ~0–3.3 V. This voltage was then applied to the drain (D) and G of the transistor to define the reference current intensity. A fixed resistor (50 Ω) was connected in serial to the common D and GND, where the voltage on D reflected the total current. This voltage could be read by a 14-bit analogue–digital converter on the MCU. To prevent overload voltage that can cause damage to the MCU, an OP-AMP that functioned as a voltage follower (providing identical voltage) was added between D and MCU. Next, the output voltage and current data were measured by a data acquisition multimeter system (Keithley DAQ6510) at a sampling frequency of 10 kHz. The EMG signals were measured using a high-precision data acquisition system (PowerLab 16/35, AD Instruments) and with a biological signal amplifier (BioAmp FE132, AD Instruments) with a sampling rate of 10 kHz. The raw signal data were digitally filtered by two notch filters at 50 and 100 Hz to obtain the representative EMG waveforms avoiding the baseline noises. Characterizations of the NFC P3D-eskin system To develop a battery-free P3D-eskin, we adopted an NFC-embedded MCU (RF430FRL152H, Texas Instruments), and modified the temperature-sensing circuit from the reference design (TIDM-RF430-TEMPSENSE). The temperature data can be acquired and read by the graphical user interface of a mobile Android app for temperature sensing (RF430FRL152H Demo, Texas Instruments; Supplementary Fig. 21) or an NFC reader (MSP-EXP430G2ET with TRF7970A NFC/RFID booster pack; Supplementary Fig. 26c). Characteristics of the LM inductive antenna including inductance, Q factor, impedance and phase were characterized using an impedance analyser (E4991B, Keysight Technologies). Nature Electronics Further information on research design is available in the Nature Portfolio Reporting Summary linked to this article. Data availability Code availability The code supporting the findings of this study is available from the corresponding authors upon request. References 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. Chung, H. U. et al. Binodal, wireless epidermal electronic systems with in-sensor analytics for neonatal intensive care. Science 363, eaau0780 (2019). Lee, K. H. et al. Mechano-acoustic sensing of physiological processes and body motions via a soft wireless device placed at the suprasternal notch. Nat. Biomed. Eng. 4, 148–158 (2020). Choi, Y. S. et al. A transient, closed-loop network of wireless, body-integrated devices for autonomous electrotherapy. Science 376, 1006–1012 (2022). Yao, K. et al. Encoding of tactile information in hand via skin-integrated wireless haptic interface. Nat. Mach. Intell. 4, 893–903 (2022). Zheng, Y. Q. et al. Monolithic optical microlithography of high-density elastic circuits. Science 373, 88–94 (2021). Jung, D. et al. Highly conductive and elastic nanomembrane for skin electronics. Science 373, 1022–1026 (2021). Dai, Y., Hu, H., Wang, M., Xu, J. & Wang, S. Stretchable transistors and functional circuits for human-integrated electronics. Nat. Electron. 4, 17–29 (2021). Guan, Y. S. et al. Elastic electronics based on micromesh-structured rubbery semiconductor films. Nat. Electron. 5, 881–892 (2022). Li, X. et al. A self-supporting, conductor-exposing, stretchable, ultrathin, and recyclable kirigami-structured liquid metal paper for multifunctional e-skin. ACS Nano 16, 5909–5919 (2022). Choi, H. et al. Highly stretchable and strain-insensitive liquid metal based elastic kirigami electrodes (LM-eKE). Adv. Funct. Mater. 33, 2301388 (2023). Xiang, S. et al. Liquid-metal-based dynamic thermoregulating and self-powered electronic skin. Adv. Funct. Mater. 31, 2100940 (2021). Someya, T., Bao, Z. & Malliaras, G. G. The rise of plastic bioelectronics. Nature 540, 379–385 (2016). Rogers, J. A., Someya, T. & Huang, Y. Materials and mechanics for stretchable electronics. Science 327, 1603–1607 (2010). Matsuhisa, N., Chen, X., Bao, Z. & Someya, T. Materials and structural designs of stretchable conductors. Chem. Soc. Rev. 48, 2946–2966 (2019). Kim, D.-H. et al. Epidermal electronics. Science 333, 838–843 (2011). Xu, S. et al. Soft microfluidic assemblies of sensors, circuits, and radios for the skin. Science 344, 70–74 (2014). Libanori, R. et al. Stretchable heterogeneous composites with extreme mechanical gradients. Nat. Commun. 3, 1265 (2012). Matsuhisa, N. et al. Printable elastic conductors with a high conductivity for electronic textile applications. Nat. Commun. 6, 7461 (2015). Hu, H. et al. Elasto-plastic design of ultrathin interlayer for enhancing strain tolerance of flexible electronics. ACS Nano 17, 3921–3930 (2023). Article 20. Rogers, J. A., Chen, X. & Feng, X. Flexible hybrid electronics. Adv. Mater. 32, 1905590 (2020). 21. Jiang, Y. et al. A universal interface for plug-and-play assembly of stretchable devices. Nature 614, 456–462 (2023). 22. Niu, S. et al. A wireless body area sensor network based on stretchable passive tags. Nat. Electron. 2, 361–368 (2019). 23. Zhou, Z. et al. Sign-to-speech translation using machine-learning-assisted stretchable sensor arrays. Nat. Electron. 3, 571–578 (2020). 24. Huang, Z. et al. Three-dimensional integrated stretchable electronics. Nat. Electron. 1, 473–480 (2018). 25. Song, H. et al. Systems based on stacked multilayer network materials. Sci. Adv. 3785, eabm3785 (2022). 26. Li, G. et al. Three-dimensional flexible electronics using solidified liquid metal with regulated plasticity. Nat. Electron. 6, 154–163 (2023). 27. Liu, S., Shah, D. S. & Kramer-Bottiglio, R. Highly stretchable multilayer electronic circuits using biphasic gallium-indium. Nat. Mater. 20, 851–858 (2021). 28. Lee, W. et al. Universal assembly of liquid metal particles in polymers enables elastic printed circuit board. Science 378, 637–641 (2022). 29. Wang, Y. et al. Skin bioelectronics towards long-term, continuous health monitoring. Chem. Soc. Rev. 51, 3759–3793 (2022). 30. Huang, Q. & Zheng, Z. Pathway to developing permeable electronics. ACS Nano 16, 15537–15544 (2022). 31. Miyamoto, A. et al. Inflammation-free, gas-permeable, lightweight, stretchable on-skin electronics with nanomeshes. Nat. Nanotechnol. 12, 907–913 (2017). 32. Lee, S. et al. Nanomesh pressure sensor for monitoring finger manipulation without sensory interference. Science 370, 966–970 (2020). 33. Ma, Z. et al. Permeable superelastic liquid-metal fibre mat enables biocompatible and monolithic stretchable electronics. Nat. Mater. 20, 859–868 (2021). 34. Hu, H. et al. A wearable cardiac ultrasound imager. Nature 613, 667–675 (2023). 35. Shen, Q. et al. Liquid metal-based soft, hermetic, and wireless-communicable seals for stretchable systems. Science 379, 488–493 (2023). 36. Dickey, M. D. Stretchable and soft electronics using liquid metals. Adv. Mater. 29, 1606425 (2017). 37. Daeneke, T. et al. Liquid metals: fundamentals and applications in chemistry. Chem. Soc. Rev. 47, 4073–4111 (2018). 38. Leber, A. et al. Soft and stretchable liquid metal transmission lines as distributed probes of multimodal deformations. Nat. Electron. 3, 316–326 (2020). 39. Markvicka, E. J., Bartlett, M. D., Huang, X. & Majidi, C. An autonomously electrically self-healing liquid metal-elastomer composite for robust soft-matter robotics and electronics. Nat. Mater. 17, 618–624 (2018). 40. Zhao, Y. et al. A self-healing electrically conductive organogel composite. Nat. Electron. 6, 206–215 (2023). 41. Parida, K. et al. Extremely stretchable and self-healing conductor based on thermoplastic elastomer for all-three-dimensional printed triboelectric nanogenerator. Nat. Commun. 10, 2158 (2019). 42. Guo, R., Sun, X., Yuan, B., Wang, H. & Liu, J. Magnetic liquid metal (Fe-EGaIn) based multifunctional electronics for remote self-healing materials, degradable electronics, and thermal transfer printing. Adv. Sci. 6, 1901478 (2019). 43. Cheng, S. et al. Electronic blood vessel. Matter 3, 1664–1684 (2020). 44. Zhuang, Q. et al. Wafer-patterned, permeable, and stretchable liquid metal microelectrodes for implantable bioelectronics with chronic biocompatibility. Sci. Adv. 9, eadg860 (2023). Nature Electronics https://doi.org/10.1038/s41928-024-01189-x 45. Yan, J., Lu, Y., Chen, G., Yang, M. & Gu, Z. Advances in liquid metals for biomedical applications. Chem. Soc. Rev. 47, 2518–2533 (2018). 46. Nan, K. et al. Low-cost gastrointestinal manometry via silicone– liquid-metal pressure transducers resembling a quipu. Nat. Biomed. Eng. 6, 1092–1104 (2022). 47. Park, Y. G., An, H. S., Kim, J. Y. & Park, J. U. High-resolution, reconfigurable printing of liquid metals with three-dimensional structures. Sci. Adv. 5, eaaw2844 (2019). 48. Lazarus, N., Bedair, S. S. & Kierzewski, I. M. Ultrafine pitch stencil printing of liquid metal alloys. ACS Appl. Mater. Interfaces 9, 1178–1182 (2017). 49. Joshipura, I. D., Ayers, H. R., Majidi, C. & Dickey, M. D. Methods to pattern liquid metals. J. Mater. Chem. C 3, 3834–3841 (2015). 50. Hirsch, A., Dejace, L., Michaud, H. O. & Lacour, S. P. Harnessing the rheological properties of liquid metals to shape soft electronic conductors for wearable applications. Acc. Chem. Res. 52, 534–544 (2019). 51. Ma, J. et al. Shaping a soft future: patterning liquid metals. Adv. Mater. 35, 2205196 (2023). 52. Handschuh-Wang, S., Gan, T., Wang, T., Stadler, F. J. & Zhou, X. Surface tension of the oxide skin of gallium-based liquid metals. Langmuir 37, 9017–9025 (2021). 53. Tang, J. et al. Oscillatory bifurcation patterns initiated by seeded surface solidification of liquid metals. Nat. Synth. 1, 158–169 (2022). 54. Idrus-Saidi, S. A. et al. Liquid metal synthesis solvents for metallic crystals. Science 378, 1118–1124 (2022). 55. Chen, F. et al. Wet-adaptive electronic skin. Adv. Mater. 35, 2305630 (2023). Acknowledgements We acknowledge financial support from the RGC Senior Research Fellow Scheme (SRFS2122-5S04), The Hong Kong Polytechnic University (1-ZVQM, 1-BBXR and 1-CD44), Research Grants Council of the Hong Kong Special Administrative Region (grant nos. RFS2324-1S03, 15304823, 11213721, 11215722, 11211523), City University of Hong Kong (grant nos. 9667221 and 9678274) and National Natural Science Foundation of China (NSFC) (grant nos. 61421002 and 62122002), as well as in part by InnoHK Project on Project 2.2—AI-based 3D ultrasound imaging algorithm at the Hong Kong Centre for Cerebro-Cardiovascular Health Engineering (COCHE). Author contributions Q.Z. and Z.Z. initiated the idea and proposed the project. K.Y. designed the circuits of the electronic systems. Q.Z. and K.Y. characterized the overall systems. Z.Z., X.Y., Q.Z. and K.Y. wrote the paper. C.Z. conducted the FEA. X.S. and Y. Zhou facilitated the design of logic circuits. J.Z. facilitated the debugging process. Y. Zhang and Q.H. gave comments on the organization of figures. Competing interests The authors declare no competing interests. Additional information Extended data is available for this paper at https://doi.org/10.1038/ s41928-024-01189-x. Supplementary information The online version contains supplementary material available at https://doi.org/10.1038/s41928024-01189-x. Correspondence and requests for materials should be addressed to Xinge Yu or Zijian Zheng. Article Peer review information Nature Electronics thanks John Ho, Yanchao Mao and the other, anonymous, reviewer(s) for their contribution to the peer review of this work. https://doi.org/10.1038/s41928-024-01189-x Reprints and permissions information is available at www.nature.com/reprints. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. © The Author(s), under exclusive licence to Springer Nature Limited 2024 Nature Electronics Article https://doi.org/10.1038/s41928-024-01189-x Extended Data Fig. 1 | Layer-by-layer fabrication of wireless P3D-eskins. a, Schematic illustration showing the detailed processing flow of layer-by-layer fabrication of P3D-eskins. b, Digital images showing the structure and functions of each layer in P3D-eskins. Nature Electronics Article Extended Data Fig. 2 | Characterizations of the oLM on the SBS fibre mats (oLM/SBS) at different oxidation conditions. a, SEM images of LM/SBS with various heating durations before and after stretch. The oLM was prepared by oxidizing LM in the air. After heating LM with increasing duration ranging from 0 to 24 h, the size of the gallium (Ga) oxide enhanced from several μm to several hundred μm. After being pre-stretched under 1500% strain for 12 cycles, the continuous thin film (heating duration less than 16 h) can self-organize into a laterally mesh-like and vertically buckled structure, with the formation of nodes from the strong oxide layer. b, XPS results of oLM after various heating durations. Ga 2p (3/2) spectrum shows a predominant peak with a binding energy of 1118.8 eV from Ga2O3, with the presence of Ga metal (1116.5 eV) and Ga2O (1118.2 eV). c, Schematic illustration of the formation of the gallium oxides (Ga2O3, and Ga2O) during the heating of LM. With increasing heating duration, Nature Electronics https://doi.org/10.1038/s41928-024-01189-x the signals of Ga2O3 and Ga2O became stronger. d and e, Young’s modulus and electrical conductivity of oLM/SBS after various heating durations. Data are presented as (dots) mean values with (error bars) SD; n = 6 independent tests. Due to the strong oxidation of LM, the average modulus of oLM/SBS enhanced from ~0.1 MPa (0.09841 MPa) with the heating duration of 0 h (that is, LM/SBS) to ~0.31314 MPa with the heating duration of 24 h. Accordingly, the stiffness was also enhanced by around 2 folds when the thickness was unchanged. The oLM/ SBS with a heating duration of 16 h maintained a high electrical conductivity of over 28,300 S/cm. The error bar in the figure stands for SD, and the scatter value represents mean value. f, Resistance changes of hybrid LMs (weight ratio of oLM and LM and = 1: 2, oLM with various heating durations) on the SBS fibre mats as the function of tensile strain. Article Extended Data Fig. 3 | See next page for caption. Nature Electronics https://doi.org/10.1038/s41928-024-01189-x Article Extended Data Fig. 3 | Characterizations of the electrical stability of 3D integrated interfaces of various stretchable logic circuits. a, Design of the permeable stretchable logic circuits including inverse gate, NOR gate, and clock-controlled switch. b, Outputs of the logics validated with the rigid printed circuit boards. c and d, Digital images of the inverse gate and NOR gate, respectively. e and f, Logic outputs of the inverse gate, and NOR gate respectively. g, Schematic illustration of the permeable 3D integrated stretchable switch array. h, Threshold driving voltage of the switch array at a strain of 100%. i, Nature Electronics https://doi.org/10.1038/s41928-024-01189-x Statistic analysis of the transconductance of the 64-channel switch array. j, Digital images of the permeable 3D integrated stretchable switch array at 100% strain. The switches were used for controlling loads and in complementary metal-oxide semiconductor (CMOS) digital circuits as they operated between their cut-off and saturation regions. The multi-channel switch array showed a uniform threshold driving voltage (Vg) of ~1.75 V at a strain of 50%, and an average transconductance of ~100 mS. Last updated by author(s): Apr 26, 2024 Reporting Summary Nature Portfolio wishes to improve the reproducibility of the work that we publish. This form provides structure for consistency and transparency in reporting. For further information on Nature Portfolio policies, see our Editorial Policies and the Editorial Policy Checklist. nature portfolio | reporting summary Corresponding author(s): Xinge Yu, Zijian Zheng Statistics For all statistical analyses, confirm that the following items are present in the figure legend, table legend, main text, or Methods section. n/a Confirmed The exact sample size (n) for each experimental group/condition, given as a discrete number and unit of measurement A statement on whether measurements were taken from distinct samples or whether the same sample was measured repeatedly The statistical test(s) used AND whether they are one- or two-sided Only common tests should be described solely by name; describe more complex techniques in the Methods section. A description of all covariates tested A description of any assumptions or corrections, such as tests of normality and adjustment for multiple comparisons A full description of the statistical parameters including central tendency (e.g. means) or other basic estimates (e.g. regression coefficient) AND variation (e.g. standard deviation) or associated estimates of uncertainty (e.g. confidence intervals) For null hypothesis testing, the test statistic (e.g. F, t, r) with confidence intervals, effect sizes, degrees of freedom and P value noted Give P values as exact values whenever suitable. For Bayesian analysis, information on the choice of priors and Markov chain Monte Carlo settings For hierarchical and complex designs, identification of the appropriate level for tests and full reporting of outcomes Estimates of effect sizes (e.g. Cohen's d, Pearson's r), indicating how they were calculated Our web collection on statistics for biologists contains articles on many of the points above. Software and code Policy information about availability of computer code Data collection The data in this research was collected by DAQ 6510 (Keithley), PowerLab 16/35 (AD Instruments) with a biological signal amplifier BioAmp FE132 (AD Instruments), Android app GUI “RF430FRL152H Demo” provided by Texas Instruments, impedance analyzer E4991B (Keysight Technologies), semiconductor analyzer 4200A-SCS (Keithley), digital oscilloscope (Rigol), source meter (Keithley 2400) coupled with a customized stretching machine (Zolix), universal testing machine (Instron 5566), MO21S air permeability tester (SDL Americ, Inc.), X-ray photoelectron spectroscopy (XPS, Thermo Fisher Scientific Xesa), and scanning electron microscopy (SEM, TESCAN VEGA3). Data analysis The data was analyzed with MATLAB R2022b and Origin 2022 For manuscripts utilizing custom algorithms or software that are central to the research but not yet described in published literature, software must be made available to editors and reviewers. We strongly encourage code deposition in a community repository (e.g. GitHub). See the Nature Portfolio guidelines for submitting code & software for further information. March 2021 1 Policy information about availability of data All manuscripts must include a data availability statement. This statement should provide the following information, where applicable: - Accession codes, unique identifiers, or web links for publicly available datasets - A description of any restrictions on data availability - For clinical datasets or third party data, please ensure that the statement adheres to our policy The raw data supporting the findings of this study are available from the corresponding authors upon request. Source data are also provided. Human research participants Policy information about studies involving human research participants and Sex and Gender in Research. Reporting on sex and gender One participant whose sex (and gender) is male. Sex (or gender) was not considered in the study design since it's a proof of concept for demonstrating the capability of measuring multi-position body temperature by P3D-eskin in a wireless manner. Population characteristics The participant is from China and aged 26. Recruitment The participant is one of the authors of this article. Ethics oversight All procedures involving the on-skin attachment of P3D-eskins and PDMS-eskins on the human body followed ethical guidelines, which were approved by The Hong Kong Polytechnic University (HSEARS20230101001). nature portfolio | reporting summary Data Note that full information on the approval of the study protocol must also be provided in the manuscript. Field-specific reporting Please select the one below that is the best fit for your research. If you are not sure, read the appropriate sections before making your selection. Life sciences Behavioural & social sciences Ecological, evolutionary & environmental sciences For a reference copy of the document with all sections, see nature.com/documents/nr-reporting-summary-flat.pdf Life sciences study design All studies must disclose on these points even when the disclosure is negative. Sample size The sample size of animal is 1. Data exclusions No data was excluded. Replication All EMG measurement were repeated for 3 times (1min per time) to verify its reproducibility. Randomization The samples were not collected randomly, because it's a proof of concept that validates the effectiveness of the electrostimulation. Blinding Blinding was not relevant to this study, because it's a proof of concept that validates the effectiveness of the electrostimulation. Reporting for specific materials, systems and methods We require information from authors about some types of materials, experimental systems and methods used in many studies. Here, indicate whether each material, system or method listed is relevant to your study. If you are not sure if a list item applies to your research, read the appropriate section before selecting a response. March 2021 2 Methods n/a Involved in the study n/a Involved in the study Antibodies ChIP-seq Eukaryotic cell lines Flow cytometry Palaeontology and archaeology MRI-based neuroimaging Animals and other organisms Clinical data Dual use research of concern Animals and other research organisms Policy information about studies involving animals; ARRIVE guidelines recommended for reporting animal research, and Sex and Gender in Research Laboratory animals Sprague Dawley Rat, aged 4-5 weeks, ~200 g Wild animals The study did not involve wild animals Reporting on sex One male rat was involved in animal study. Sex was not considered in the study design, since it's a proof of concept study of inducing EMG response on the muscle. Field-collected samples The study did not involve data collected from the field. Ethics oversight The animal experiments follow the Ethical Review of Research Experiments Involving Animal Subjects (A-0664) approved by Research Committee (Animal Research Ethics Sub-Committee) of City University of Hong Kong. nature portfolio | reporting summary Materials & experimental systems Note that full information on the approval of the study protocol must also be provided in the manuscript. March 2021 3