Physics-based Computational Modeling of Knitted Textiles Daniel Christe1,2, Chengyang Mo1, Dani Liu1, Krzysztof Mazur1, Aditi Ramadurgakar1,2, Shane Esola1, and Antonios 1* Kontsos 1Department of Mechanical Engineering & Mechanics 2Department of Materials Science & Engineering *Corresponding Author e: akontsos@coe.drexel.edu | t:215-895-2297 Multiscale Modeling Approach Introduction • Garment devices are hierarchically structured material systems exhibiting complex (micro) structure-property-behavior relations driven by yarn-level interactions. Accurately capturing this behavior in simulation is key for advancing predictive design of functional garments. • The Shima Seiki Haute Technology Lab at Drexel University’s ExCITe Center brings the capability to rapidly manufacture knitted garments from diverse materials, including steel, Kevlar and spider silk. However, a fundamental knowledge gap remains in the ability to predict the performance of a given design, due to complex textile mechanics. • Compared to processing routes for other materials such as metal alloys, knitting allows the designer much greater control over the material structure, advancing the concept of “knits-by-design” and fitting the broader “materials-by-design” framework [1,2]. Objectives Theoretical & Applied Mechanics Group Applications Knit Pattern 1 Loop Figure 1: Generation of knit geometries in an open source textile generator (TexGen), from single knit loop to knit pattern level. Such structures are directly exportable to finite element environments (e.g. Abaqus) for computational mechanics simulations, with data obtained from physical/mechanical evaluation of actual structures. (a) (c) (b) • To characterize mechanical behavior of knitted textiles using a suite of quantitative Non-Destructive Evaluation methods in parallel with multiscale mechanical testing. • To develop robust data-driven simulation tools to study mechanical & multi-physics behavior of smart textiles. (N) Drexel University, Department of Electrical and Computer Engineering Design & Manufacturing (b) [5] (M) Figure 6: Textiles are tailorable, shape-conformal platforms for devices, with envisioned for energy storage, actuation, and sensing applications. SDS-One Apex Design System (a) [4] Figure 2: (a) Meshed geometrical model with boundary conditions shown, based on ASTM D4964 pertaining to constant rate-ofextension testing of fabrics (b) Von Mises stresses for a RVE(Representative Volume Element) (c) Force-displacement results for different friction coefficients under uniaxial tension for 2 RVEs in static FEA. Concluding Remarks Characterization Mechanical Testing + Quantitative Non-Destructive Evaluation (QNDE) [3] Scanning Electron Microscopy (SEM) Desktop Mechanical Tester (a) (b) (a) 2D encoding of the knitting pattern as (b) Preview of the resulting fabric specified by the designer in Knit Paint design software • (c) Digital Image Correlation (DIC) Figure 3: SEM Images of (a) Garter stitch (b) Jersey stitch (c) Rib stitch (c) Shima Seiki SSG122SV knitting machine at the ExCITe Center As stated, a major objective of this work is to provide quantitative feedback to design and manufacturing operations. This will be accomplished through a framework coupling design and simulation with testing and evaluation of actual knitted materials at multiple length scales. This work serves as a basis for the development of predictive “process-aware” design tools, reducing reliance on costly “Edisonian” trial-and-error approaches. • Smart textiles are an excellent example of a hierarchically structured material system. The integrated framework of experiments coupled with physics-based modeling presented herein can potentially serve as a more general template for component-level design of hierarchical material systems, accelerating the traditionally slow materials development cycle. References [1] Pollock, T., et al. (2008). Integrated Computational Materials Engineering: A Transformational Discipline for Improved Competitiveness and National Security, National Academy of Engineering. [2] Kalidindi, S. R. (2015). "Data science and cyberinfrastructure: critical enablers for accelerated development of hierarchical materials." International Materials Reviews 60(3): 150-168 [3] Photo of an SDS-One Apex workstation. Retrieved from TEXDATA International www.texdata.com/news/2/7267.SHIMA-SEIKI-to-exhibit-at-Premi%C3%A8re-Vision-Paris.htm [4] K. Jost, D. Stenger, C. R. Perez, J. K. McDonough, K. Lian, Y. Gogotsi, et al., "Knitted and screen printed carbon-fiber supercapacitors for applications in wearable electronics," Energy & Environmental Science, vol. 6, p. 2698, 2013. [5] (2015) Lockheed Martin Human Universal Load Carrier. Available http://www.lockheedmartin.com/us/products/hulc.html (d) Mechanical testing specimens, knitted with a high-contrast speckle pattern for full-field strain mapping via digital image correlation. (a) Sample (b) U2 (c) ε22 Figure 4: (a) Clamped sample, (b) full-field displacements, and (c) strains computed through DIC Figure 5: Loading profile for three simple knits Acknowledgments This work is a collaborative effort with Assistant Professor Geneviève Dion and Chelsea Knittel from the College of Media Arts & Design, and Associate Professor David E. Breen from the College of Computing & Informatics of Drexel University.