Materials Science & Engineering A 724 (2018) 164–170 Contents lists available at ScienceDirect Materials Science & Engineering A journal homepage: www.elsevier.com/locate/msea Tensile behaviors of pure copper with different fraction of nonequilibrium grain boundaries T ⁎ Yunpeng Wanga,b, Ruidong Fua,b, , Lei Jinga,b, Deli Sanga,b, Yijun Lia,b a b State Key Laboratory of Metastable Materials Science and Technology, Yanshan University, Qinhuangdao, Hebei 066004, PR China College of Materials Science and Engineering, Yanshan University, Qinhuangdao, Hebei 066004, PR China A R T I C LE I N FO A B S T R A C T Keywords: Nanocrystalline materials Mechanical properties Microstructure Grain boundaries Copper Pure copper with different fraction of nonequilibrium grain boundaries were achieved by friction stir processing (FSP) under air, water and liquid nitrogen cooling conditions. Tensile behaviors at room temperature exhibited significant difference for above three cases involving different fraction of nonequilibrium grain boundaries. The case with nitrogen cooling showed better combination of strength and elongation for the largest fraction of high energy nonequilibrium boundaries, which contribute to emit dislocations from grain boundaries and suppress grain boundary sliding. Fully relaxed grain boundaries in air cooling samples can suppress the grain boundary sliding and dislocation emission causing high stress and very low elongation. However, appropriate relaxed grain boundaries in the water cooling samples will promote grain boundary sliding and the increase of elongation. The grain coarsening during tensile deformation was observed in those samples with nonequilibrium grain boundaries and will increase elongation and cause work softening behavior of these samples. 1. Introduction It is well known that the strength or hardness of metals increases with decreasing grain sizes following the classical Hall-Petch relationship [1,2]. When grain size reduces into the submicrometer or nanometer scale, however, the experimental observations are mixed due to the higher density of grain boundaries (GBs). In these cases, continuous hardening of some materials was detected [3,4], and softening attributed to grain coarsening was also reported for fine-grained samples during deformation [5,6]. The different observed behaviors mean that an ambiguity remains as to the governing plastic deformation mechanism in the fine-grained materials with high density GBs. Recently, Lu et al. found that hardness of electrodeposited nano-grained (NGed) Ni–Mo alloy were adjustable with GB stabilization through relaxation and Mo segregation, and the reduced GB energy stabilizes the NGed structures as the thermodynamic driving force for grain coarsening is lowered [7]. It demonstrates that the characteristic of the GBs strongly influences the strength and hardness of fine-grained materials. For the achievement of fine-grained materials, severe plastic deformation is a promising route. Along with the modification of the grain structure towards finer grains, the higher number of lattice defects that are created lead to the modifications of the GB structure during continued strain [8]. High number of densities of extrinsic dislocations accumulated in the GBs increase the specific energy state and free ⁎ volume of the GBs to form the so-called nonequilibrium GBs [9,10]. The nonequilibrium GBs with increased specific excess energy states markedly affect the transport properties of ultrafine grained (UFGed) materials [11,12], and the results indicate strongly that a distribution of GBs with a rather distinct distribution of their nonequilibrium character forms result in a nonuniform distribution of specific mobilities of the GBs. It can be speculated that the distinct distributions of nonequilibrium GBs should also have a certain impact on the mechanical properties of fine-grained materials, but at present, there are few specific studies on the respect. Thus, it is necessary to take sight into the deformation mechanism of fine-grained materials with different fraction and energy state nonequilibrium GBs. In this work, we prepared three fractions of nonequilibrium GBs in pure copper by using friction stir processing (FSP) with a shoulderless conical tool and different cooling conditions. Microstructures in the processed zones (PZs) in term of grain size and nonequilibrium GBs were characterized. The tensile property and deformation mechanisms of the PZs were investigated in detail. 2. Experimental The commercially pure copper (99.9%) with dimensions 120 mm × 40 mm × 3 mm were chosen as experimental materials. The FSP was performed using a shoulderless conical tool. Three cooling Corresponding author at: State Key Laboratory of Metastable Materials Science and Technology, Yanshan University, Qinhuangdao, Hebei 066004, PR China. E-mail address: rdfu@ysu.edu.cn (R. Fu). https://doi.org/10.1016/j.msea.2018.03.086 Received 11 November 2017; Received in revised form 20 March 2018; Accepted 21 March 2018 Available online 22 March 2018 0921-5093/ © 2018 Elsevier B.V. All rights reserved. Materials Science & Engineering A 724 (2018) 164–170 Y. Wang et al. the PZs under three cooling conditions. It shows that the grains in the PZs are equiaxed and significantly refined for the three cases. As the shoulderless tool is used during FSP under the three conditions, the microstructure in each area of the PZs is basically the same through the observation of TEM. Moreover, there are few dislocations in the interior of grains. The characteristic of spreading of boundary thickness extinction contours is observed in some grains in NC (Fig. 2a) and WC (Fig. 2b) samples. This grain boundary characteristic indicates the existence of nonequilibrium GBs with high-level stress concentrations [10], which are generally observed in the UFGed or NGed materials refined by severe plastic deformation. The extinction contours are relatively most obvious in the NC samples and the nonequilibrium GB characteristic has been verified through the high angle GBs are tightly surrounded by many low angle GBs by ASTAR technique in Ref. [13]. In comparison, the straight and sharp GBs in the AC sample indicate stabilized equilibrium GBs with few extrinsic dislocation accumulations. Meanwhile, the mixture feature with the grain boundaries in the NC and AC samples can be found in the WC samples. It implies the fraction of nonequilibrium GBs in the WC samples should be between that of the NC and AC samples. The grain size distribution histograms (Fig. 2d–f) were calculated from a large number of TEM images for the three cases. It shows that the grain size of the NC samples ranges from 25 to 228 nm with 45.3% of NGs, while there is a broad grain size distribution (from 90 to 405 nm) and only 1.7% of NGs in the WC samples. In the AC samples, the grain size has increased into the range from 110 to 560 nm and no NGs are found. Such microstructure of the AC samples is relaxed structures with equilibrium GBs because of the higher peak temperature and lower strain during FSP. The statistic of average grain size is 109, 220 and 259 nm for the NC, WC and AC samples, respectively. As mentioned above, the smaller grain size is, the larger the strain undergone by the deformed metal is. In another word, the fraction of the nonequilibrium GBs or the internal energy should be the highest in the samples with the smallest grain size. Fig. 3 shows the orientation maps and statistic GB misorientation distributions of the three samples. Considering the difference of the grain size of the three samples, ASTAR™ system is used for the NC samples to obtain more accurate grain structure information and EBSD is used for the WC and AC samples to obtain grain structure information of more amount of grains. The TEM microstructures are further confirmed by the ASTAR and EBSD. The equiaxed grains are surrounded by the high angle GBs (> 15°) with grain sizes of 118 nm, 216 nm and 265 nm for NC, WC and AC samples, respectively. The grain sizes are similar to the statistical results of TEM. There are few low angle GBs in the interior of grains. It is noted that the distributions of grain boundary misorientation angles of the three samples are similar. And the large fraction of low angle GBs in NC samples is because of the small step size can obtain more micro information in the interior of grains as Fig. 3a shown. It has been known that the internal energy of deformed metal can indirectly reflected the fraction of nonequilibrium GBs [15]. Thus, DSC was employed to find the variation of the internal energy in the PZs with different cooling conditions (Fig. 4). As shown in Fig. 4, no visible thermal (exothermic or endothermic) effect is detected in the BM and AC samples during the heating process. When the WC samples is heated, a rather weak exothermic signal is observed in the DSC curve at about 215 °C (Tp) from 175 °C (Ton) to 250 °C (Tend), of which the integrated enthalpy (or enthalpy release) is about 0.32 J/g. In the NC samples, a strong exothermic reaction is detected at a temperature range from about 100 °C (Ton) to 215 °C (Tend). And Tp is about 150 °C. The exothermic peak during which a total integrated enthalpy change of about 1.47 J/g was detected. It is much higher than that in the WC samples and is about twice that in the UFGed Cu deformed by equal-channel angular pressing (0.8 J/g) [16]. The exothermic reaction in these samples is attribution to the static recrystallization process during DSC heating [17]. The micro-strain release process of the deformed materials causes the onset of conditions, named air cooling (AC), water cooling (WC) and liquid nitrogen cooling (NC), were employed during FSP. For the WC and NC samples, the plates were immerged in cooling medium during whole process of FSP. The shoulderless tool, setup and processing steps can be found in Ref. [13]. The tool traveled at 20 mm/min with rotational speed of 1200 rpm for the three cases. Microstructural examination was completed with transmission electron microscopy (TEM). TEM observation was carried out on a JEOL-2010 microscope operating at 200 kV. Thin foils for TEM cut from the PZs were twin-jet electropolished by a solution of 30% nitric acid and 70% methanol at 263 K. The GB character and distribution were confirmed by ASTAR™ system installed in the NanoMEGAS Precession Electron Diffraction platform for the NC sample and high-resolution electron backscatter diffraction (EBSD) for the WC and AC samples. In the ASTAR™ system, diffraction patterns of the TEM samples were recorded with a 0.3° procession angle and a scanning step size of 3 nm. EBSD scans were performed on a SU5000 scanning electron microscope with a step size of 20 nm. The results were all analyzed using an TSL OIM system. Differential scanning calorimetry (DSC; Discovery DSC 250 instrument) was used to study the thermal characteristics of the samples. Aluminum pans were used for both the sample and the reference. The three samples were sealed in aluminum pans and heated in a flowing argon atmosphere at a constant heating rate of 5 °C/min from 25 °C to 300 °C. For the tensile test, the dog-bone-shaped specimens with a gauge length of 5 mm and a width of 2 mm were machined from the same location, on the top surface and paralleled to the processing direction of the PZs, and then polished to a thickness of 0.35 mm. Uniaxial tensile tests were conducted at room temperature at an initial strain rate of 1 × 10−3 s−1 using an Instron-5948 MicroTester with a video noncontact extensometer. 3. Results Fig. 1 shows the cross-sectional macrographs of the defect free PZs formed under three cooling conditions. The boundary (arrowed in Fig. 1a) between the PZ and base metal (BM) looks very clear on both advanced (AS) and retreated side (RS) for the three cases. The area of the PZs decreases with enhancing the cooling rate, i.e., the PZ area of in AC samples is largest, followed by WC samples, and NC samples. The effect of “hard shell” [14], resulting from the restrain effect of the cold BM to the deformed metal in the PZs, can account for the formation of the PZs. Accordingly, the difference in PZ areas under three conditions can also be easily understood. Fig. 2 shows the microstructures and the grain size distributions of Fig. 1. Cross-sectional macrostructures of the PZs for samples: (a) NC; (b)WC and (c) AC. 165 Materials Science & Engineering A 724 (2018) 164–170 Y. Wang et al. Fig. 2. TEM bright images and grain size distributions of (a, d) NC, (b, e) WC and (c, f) AC samples, respectively. Fig. 3. Orientation maps and statistic GB misorientation distributions of (a, d) NC, (b, e) WC and (c, f) AC samples, respectively. High angle boundaries (> 15°) and low angle boundaries (< 15°) are sketched by black and white lines, respectively. 166 Materials Science & Engineering A 724 (2018) 164–170 Y. Wang et al. Fig. 5. Engineering stress–strain curves of NC, WC, AC samples and fully annealed copper. Fig. 4. Typical DSC curves for the samples of BM, NC, WC and AC at a heating rate of 5 °C/min. samples, and is evidently higher than AC samples. It is should be noted that the dislocation density calculated by XRD contains the dislocations in the interior of grains and on the GBs and the distribution of nonequilibrium GBs in the samples is nonuniform, so the calculated γGB of the samples is lower than the actual results. It evident that the GBs in the NC samples is in the high energy states. The results proved that the fraction of nonequilibrium GBs with high energy state is largest in the NC samples. In the WC samples, the fraction of nonequilibrium GBs is small. And there is basically no nonequilibrium GBs in the Ac samples. The comparisons of engineering tensile stress–strain curves among the three samples and fully annealed copper are shown in Fig. 5. It can be found that the four samples exhibit completely distinct tensile properties. Although the NC and AC samples exhibit different yield strength (σy) of 381 MPa and 457 MPa, respectively, they show the nearly equal ultimate tensile strengths (σUTS) of ~ 550 MPa, which was approximately three times that of fully annealed copper. However, the elongation (δf) of the AC samples is very low, only ~ 2.5%, compared with the elongation of about 25% for the NC samples. By contrast, the WC sample shows relatively lower yield strength of ~ 360 MPa, ultimate strength of ~ 420 MPa and moderated elongation of ~ 8%. The above variations in tensile properties can not be explained if only considering the difference in grain size. Moreover, the tensile softening behaviors after peak stress also indicate that the tensile deformation mechanisms must relate to a dynamic evolution of the microstructures or GB characteristics in three samples during tensile deformation. recrystallization. For the BM and AC samples, no thermal effect is detected in the measured temperature range is the evidence that stored internal energy corresponding to the micro-strain is much lower. In contrast, the micro-strain in the WC samples is relatively larger and the NC samples contain the largest micro-strain. Besides, the onset temperature of recrystallization reflects how much internal energy is stored inside materials. The lowest onset temperature of NC samples also implies the largest stored energy in the samples. In the UFG/NGed materials, micro-strain is closely related to the GB structure, which determine the GB energy [15]. Therefore, it is reasonable to consider the GB energy by the DSC results, especially the micro-strain in the FSPed samples as a signature of few dislocation in the interior of grains. The stored internal energy is mainly concentrated in the GBs under such case involving nonequilibrium GBs. It also should be noted that the exothermic peak may be observed in the temperature above 300 °C due to the large fraction of equilibrium GBs in the AC samples than that of coarse grained BM. Based on the stored internal energy measured by the DSC, the specific GB energy (γGB) in the NC and WC samples can be roughly estimated. In the UFG and NG materials, the majority of stored energy released during recrystallization is attributed to the disappearance of high density of GB and lattice dislocations. The energy released from the other defects such as vacancies and the associated elastic strain energy are minor and not significantly affecting the analysis present here [18]. Consequently, the stored energy (ΔH) and specific GB energy (γGB) can be described as [19]: 4. Discussion 1 ∆H = ⋅Ed⋅ρ g + EGB ρ (1) 4.1. Effects of nonequilibrium grain boundary on the tensile behavior γGB = ρ⋅EGB / S (2) As shown in Fig. 5, the tensile behaviors of the three PZs show no monotonic variation with the cooling conditions, which indirectly reflect the grain size in the PZs. Thus, the plotting of various tensile property involving yield strength (σs), ultimate strength (σb), uniform elongation (δun) and fracture elongation (δf) versus grain size are illustrated in Fig. 6. If only considering the relation between the strength and grain size, the AC samples shows obvious deviation to the classical Hall-Petch relationship. For example, the grain size in the AC samples is the largest among three cases, but the strength is higher than that of the WC samples with smaller grain size. Indeed, the issues on the deviation to the classical Hall-Petch relationship has been reported for the microstructure with NGs [22] or UFGs [23]. The inverse Hall-Petch effect has been frequently found in the nanocrystalline materials because the GB sliding or other proposed models is the main mechanism during tensile deformation [24,25]. In addition, Du et al. reported that the sub-grain boundary in UFGs had also contribution to the strength in FSPed metal of high nitrogen where ρ is the density of Cu samples, Ed is the energy per unit length of a dislocation, ρg is the dislocation density in the interiors of grain or cell of the samples, EGB is the GB energy, and S is the GB area in the unit volume (S ~ 3/D, D is the average grain size of the sample). Here, an average value of 5 × 10−9 J/m is taken for Ed in Eq. (1) without making any distinction between edge/screw dislocations, complete/ partial dislocations [18]. And in this work, the dislocation density within the grains is calculated by X-ray diffraction [20]. The calculated result is ~ 3.45 × 1014 m−2 for NC samples and 1.87 × 1014 m−2 for WC samples, respectively, which is much lower than that of the reported results from other severe plastic deformation of Cu (~ 1.0 × 1015 m−2) [16,21]. The low dislocation density of the samples is consistent with the observation of the TEM images in Fig. 2. The calculated γGB is 0.41 J/m2 and 0.14 J/m2 for NC and WC samples, respectively. The γGB of NC samples is much higher than that of WC 167 Materials Science & Engineering A 724 (2018) 164–170 Y. Wang et al. samples in this work is much smaller. Other mechanism may play a role in the mechanical properties of the Cu samples in the three cases. The deformed microstructures near the fractured positions of the tensile samples are shown in Fig. 7. In the deformed regions of the NC and WC samples, the grains still maintain equiaxed state and there exist the features of dislocation pile-up in some UFGs. The magnified TEM images (inset in Fig. 7a and b) show that the dislocations are emitted from the wavy grain boundaries with high-level stress concentrations, namely the nonequilibrium GBs [26]. In comparison, the deformed microstructures in the AC samples are still equiaxed grains without high density dislocations. Valiev RZ reported that the nonequilibrium GBs can affect the GB sliding to facilitate the recovery process leading to a softening effect on the mechanical properties in ECAP Cu [27]. The fact that grains remained equiaxed after deformation is an indirect evidence of the GB sliding mechanism, which is the possible deformation mode in UFG/NG materials [4]. In the NC samples, the deformation mechanism has been revealed in detail elsewhere [13]. The dislocations emitted from the high energy stated nonequilibrium GBs pile up in UFGs, and the interaction between the GBs of NG and dislocations originated from nonequilibrium GBs, combined with the GB sliding are responsible for the outstanding mechanical properties. In this deformation mechanism, the effect of GB sliding is suppressed by the large fraction high energy state nonequilibrium GBs. Then more applied stress is needed to make the sample occur plastic deformation causing the high yield stress of the NC samples. And the dislocation pile-up in the UFGs and interaction of the dislocation and GBs in the NGs increase the strain hardening rate to a certain extent reduce the softening of tensile samples leading to the relative high ultimate strength and elongation of the samples. In addition, Valiev RZ et al. found that the GB sliding is sensitive to the GB energy states and low temperature annealing of UFGed Ti could change the strength and ductility by changing its GB energy states [28]. In the WC samples, the relative low proportion low-energy stated nonequilibrium GBs, like the GBs of the NC samples after appropriate annealing process, may promote the GB sliding process, resulting the ductility in a certain degree. While the GB energy state still contributes to dislocation emission from nonequilibrium GBs. Premature GB sliding makes the WC samples occur plastic deformation early with low yield strength, while the dislocation pile-up also has a certain inhibitory effect on the rapid softening of tensile deformation attributes to the ultimate tensile strengths. However, in the AC samples, it will be more difficult for the fully relaxed stabilized GBs to emit dislocations and undergo GB sliding because of the reduction of GB defects in GBs. The suppressed GB sliding will make the AC samples reach a higher strength with very low ductility under applied stress. The large number of dislocation involved in the early stage of deformation of NC samples Fig. 6. Strength and elongation versus grain size for the three sets of samples. austenitic steel [23]. They modified the classical Hall-Petch equation by introducing the effective grain size based on the statistic of the high angle GBs and low angle GBs. However, besides the effect of grain size, the fraction of sub-grain boundaries in the AC sample (as Fig. 3 shown) is too low for the relatively high deformation temperature, thus it can not provide enough strengthening effect in this case. Moreover, the similar ratio and distribution of GBs in the three samples indicate that the GB ratio and distribution has negligible impact on the mechanical properties in the three cases. Recently, the effects of nonequilibrium GBs on the low temperature superplasticity in deformed metals have been reported [26]. The AZ91 alloy with nonequilibrium GBs exhibits lower superplastic elongation than the alloy with equilibrium GBs because dislocation movement is hampered and GB sliding is less accommodated by the long-range stresses associated with the nonequilibrium GBs. The result implies that the energy state of the GBs can also play an important role in the strengthening of metals. According to the calculated results of the γGBs, it can be inferred that the existence of nonequilibrium GBs in the NC and WC samples is an important factor affecting the mechanical properties. 4.2. The deformation mechanism and grain growth during tensile deformation For the UFG materials produced by severe plastic deformation with high dislocation density the dislocation bow-out model was utilized to interpret the flow stress [27], however, the dislocation density of Fig. 7. TEM images of the fractured positions taken from samples of: (a) NC; (b) WC and (c) AC. The TEM images inset in (a) and (b) are the magnified images of the position red box marked, respectively. 168 Materials Science & Engineering A 724 (2018) 164–170 Y. Wang et al. Fig. 8. Area-weighted grain size distributions of different samples before and after tensile deformation: (a), (b): NC; (c), (d) WC and (e), (f): AC, as indicated. caused by grain coarsening during tensile deformation. Grain coarsening combined with the effect of nonequilibrium GBs acting on NGs and UFGs make the NC samples exhibit optimum mechanical properties in the three sets of samples. The enhanced effect of grain size and nonequilibrium GBs may be higher than the softening effect of grain coarsening in NC samples. Based on above discussion, it is noted that the different energy state nonequilibrium GBs in the grains have different effects on the room temperature tensile properties. For GB sliding, high energy state nonequilibrium GBs and stabilized equilibrium GBs can suppress the process. When the energy state of GBs reaches an appropriate degree, GB sliding process will be easy to happen in the room temperature during tensile deformation. The high energy nonequilibrium GBs promote dislocation emission from the GBs. And when the GBs maintain high stored energy, mechanical induced grain coarsening will occur. The grain coarsening will cause a high elongation in the deformation and smaller effect of work softening. The present results suggest that all the factors related to the internal stored energy, nonequilibrium state of GBs in the refined materials will have a direct impact on the mechanical properties and microstructure stability during subsequent deformation. allows smaller applied stress to make the samples plastically deformed leading to the yield stress of NC samples is lower than that of AC samples. The other noteworthy phenomenon occurred during tensile deformation is the grain growth in the samples. The grain coarsening is described more quantitatively in the form of grain size distribution plots of the grain area fraction versus grain size of different samples before and after tensile deformation, as shown in Fig. 8. The width of grain size distribution of the NC samples has varied from being narrow to broader after tensile deformation (Fig. 8a and b). And the small grains in the NC samples have disappeared. It confirms the occurrence of obvious grain coarsening in the NC samples. In the WC samples, a less significant grain coarsening has happened. While the grain size distribution profiles show no obvious shifts toward the larger grain size in the AC samples, which indicates there is no grain coarsening. Observation of the TEM images in the Fig. 7 also gives the evidence of the extent of the grain coarsening in the NC and WC samples. The grain coarsening processes modify the GB morphology appreciably. Accompanying grain coarsening, the GBs become indistinct and more and more dislocations accumulate in the GBs (as shown in Fig. 7a and b), which means the dislocation are interacting with GBs and the energy of GBs have been released, trend to an equilibrium state. The process will cause the coalescence of grains, which is consistent with the in-situ observation of grain growth in nanocrystalline Al thin films by TEM at room temperature [29]. It indicates that the presence of high proportion of nonequilibrium GBs in the NC samples can account for the mechanically induced grain coarsening [30]. It can be understood as the result of an energy release due to substantial defects annihilation in the nonequilibrium GBs. Grain coarsening trend is weak in the WC samples and is not observed in the AC samples indicate that the nonequilibrium GBs only reach a certain energy state can promote grain growth. It also suggests that the observed mechanically-induced grain coarsening will induce certain degree of “strain softening”, because the grain coarsening has consumed the accumulated dislocations nearby, leading the GBs to a low energy state [31,32]. The high elongation in the NC and WC samples are also attribution to the softening effect 5. Conclusions In this work, defect free PZs of pure copper are achieved by FSP under different cooling conditions. The effects of nonequilibrium GBs on the room temperature tensile properties were discussed in detail. The main conclusions drawn from this work are as follows: 1. The microstructures of PZs produced by different cooling conditions have nonequilibrium GBs with different fractions and energy states. The NC samples contain the highest proportion of high-energy nonequilibrium GBs. The WC samples have the lower proportion of nonequilibrium GBs. And there is a feature of stabilized equilibrium GBs with few extrinsic dislocations in the AC samples. The three samples exhibit different room temperature mechanical properties because of the nonequilibrium GBs. 169 Materials Science & Engineering A 724 (2018) 164–170 Y. Wang et al. 2. By comparing the deformation mechanisms, large fraction of highenergy nonequilibrium boundaries contributes to emit dislocations from GB and suppress GB sliding, the appropriate relaxed GB in WC samples will promote GB sliding and the fully relaxed GB can suppress the GB sliding and dislocation emission. 3. The grain coarsening is observed during deformation in the NC and WC samples. It is attributed to the high GB energy states and cause the increased elongation and decreased work hardening during deformation. [13] Y. Wang, R. Fu, X. Zhou, G.B. Thompson, Z. Yu, Y. Li, Enhanced mechanical properties of pure copper with a mixture microstructure of nanocrystalline and ultrafine grains, Mater. Lett. 185 (2016) 546–549. [14] Y. Wang, R. Fu, L. Jing, Y. Li, D. Sang, Grain refinement and nanostructure formation in pure copper during cryogenic friction stir processing, Mater. Sci. Eng. A 703 (2017) 470–476. [15] L. Lu, M.L. Sui, K. Lu, Cold rolling of bulk nanocrystalline copper, Acta Mater. 49 (2001) 4127–4134. [16] J. Gubicza, N.H. Nam, L. Balogh, R.J. Hellmig, V.V. Stolyarov, Y. Estrin, T. Ungár, Microstructure of severely deformed metals determined by X-ray peak profile analysis, J. Alloy. Compd. 378 (1–2) (2004) 248–252. [17] Y. Li, Y. Zhang, N. Tao, K. Lu, Effect of thermal annealing on mechanical properties of a nanostructured copper prepared by means of dynamic plastic deformation, Scr. Mater. 59 (4) (2008) 475–478. [18] A. Rohatgi, K.S. Vecchio, G.T. Gray, A metallographic and quantitative analysis of the influence of stacking fault energy on shockhardening in Cu and Cu–Al alloys, Acta Mater. 49 (2001) 427–438. [19] Y. Zhang, N.R. Tao, K. Lu, Mechanical properties and rolling behaviors of nanograined copper with embedded nano-twin bundles, Acta Mater. 56 (11) (2008) 2429–2440. [20] D. Guo, M. Li, Y. Shi, Z. Zhang, H. Zhang, X. Liu, B. Wei, X. Zhang, High strength and ductility in multimodal-structured Zr, Mater. Des. 34 (2012) 275–278. [21] T. Ungar, M. Zehetbauer, Stage IV work hardening in cell forming materials, Part II: a new mechanism, Scr. Mater. 35 (1996) 1467–1473. [22] J. Schiøtz, K. Jacobsen, A Maximum in the strength of nanocrystalline copper, Science 301 (2003) 1357–1359. [23] D. Du, R. Fu, Y. Li, L. Jing, J. Wang, Y. Ren, K. Yang, Modification of the Hall–Petch equation for friction-stir-processing microstructures of high-nitrogen steel, Mater. Sci. Eng. A 640 (2015) 190–194. [24] K.A. Padmanabhan, G.P. Dinda, H. Hahn, H. Gleiter, Inverse Hall–Petch effect and grain boundary sliding controlled flow in nanocrystalline materials, Mater. Sci. Eng. A 452–453 (2007) 462–468. [25] C.E. Carlton, P.J. Ferreira, What is behind the inverse Hall–Petch effect in nanocrystalline materials? Acta Mater. 55 (11) (2007) 3749–3756. [26] M. MABUCHI, K. AMEYAMA, H. IWASAKI, K. HIGASHI, Low temperature superplasticity of AZ91 magnesium alloy with non-equilibrium grain boundaries, Acta Mater. 47 (7) (1999) 2047–2057. [27] R.Z. Valiev, E.V. Kozlov, Y.U.F. Ivanov, J. Lian, A.A. Nazarov, B. Baudelet, Deformation behaviour of ultra-fine-grained copper, Acta Metall. Mater. 42 (7) (1994) 2467–2475. [28] R. Valiev, A.V. Sergueeva, A.K. Mukherjee, The effect of annealing on tensile deformation behavior of nanostructured SPD titanium, Scr. Mater. 49 (7) (2003) 669–674. [29] M. Legros, D.S. Gianola, K.J. Hemker, In situ TEM observations of fast grainboundary motion in stressed nanocrystalline aluminum films, Acta Mater. 56 (14) (2008) 3380–3393. [30] X.Z. Liao, A.R. Kilmametov, R.Z. Valiev, H. Gao, X. Li, A.K. Mukherjee, J.F. Bingert, Y.T. Zhu, High-pressure torsion-induced grain growth in electrodeposited nanocrystalline Ni, Appl. Phys. Lett. 88 (2) (2006) 021909. [31] W. Chen, Z.S. You, N.R. Tao, Z.H. Jin, L. Lu, Mechanically-induced grain coarsening in gradient nano-grained copper, Acta Mater. 125 (2017) 255–264. [32] W. Chen, Z.S. You, N.R. Tao, L. Lu, Microstructural evolutions and stability of gradient nano-grained copper under tensile tests and subsequent storage, IOP Conf. Ser.: Mater. Sci. Eng. 89 (2015) 012001. Acknowledgments This study was supported by the State Key Laboratory of Metastable Materials Science and Technology, Yanshan University (Grant No. MM2016010). References [1] Z. Zhang, G. Zhang, D. Guo, M. Li, Y. Shi, X. Li, X. Zhang, High tensile ductility and strength in dual-morphology hierarchical nanolamellar-structured TiZr alloys, Mater. Lett. 131 (2014) 240–243. [2] C. Yuan, R. Fu, F. Zhang, X. Zhang, F. Liu, Microstructure evolution and mechanical properties of nanocrystalline zirconium processed by surface circulation rolling treatment, Mater. Sci. Eng. A 565 (2013) 27–32. [3] J. Chen, L. Lu, K. Lu, Hardness and strain rate sensitivity of nanocrystalline Cu, Scr. Mater. 54 (11) (2006) 1913–1918. [4] X. Zhang, H. Wang, R.O. Scattergood, J. Narayan, C.C. Koch, A.V. Sergueeva, A.K. Mukherjee, Tensile elongation (110%) observed in ultrafine-grained Zn at room temperature, Appl. Phys. Lett. 81 (5) (2002) 823. [5] A.J. Detor, C.A. Schuh, Tailoring and patterning the grain size of nanocrystalline alloys, Acta Mater. 55 (1) (2007) 371–379. [6] M.A. Meyers, A. Mishra, D.J. Benson, Mechanical properties of nanocrystalline materials, Prog. Mater. Sci. 51 (4) (2006) 427–556. [7] J. Hu, Y.N. Shi, X. Sauvage, G. Sha, K. Lu, Grain boundary stability governs hardening and softening in extremely fine nanograined metals, Science 355 (2017) 1292–1296. [8] X. Sauvage, G. Wilde, S.V. Divinski, Z. Horita, R.Z. Valiev, Grain boundaries in ultrafine grained materials processed by severe plastic deformation and related phenomena, Mater. Sci. Eng. A 540 (2012) 1–12. [9] A.A. Nazarov, A.E. Romanov, R.Z. Valiev, Models of the defect structure and analysis of the mechanical behavior of nanocrystals, Nanostruct. Mater. 6 (1995) 775–778. [10] R.Z. Valiev, R.K. Islamgaliev, I.V. Alexandrov, Bulk nanostructured materials from severe plastic deformation, Prog. Mater. Sci. 45 (2000) 103–189. [11] G. Wilde, J. Ribbe, G. Reglitz, M. Wegner, H. Rösner, Y. Estrin, M. Zehetbauer, D. Setman, S. Divinski, Plasticity and grain boundary diffusion at small grain sizes, Adv. Eng. Mater. 12 (8) (2010) 758–764. [12] S.V. Divinski, J. Ribbe, G. Reglitz, Y. Estrin, G. Wilde, Percolating network of ultrafast transport channels in severely deformed nanocrystalline metals, J. Appl. Phys. 106 (6) (2009) 063502. 170