Temperature evolution associated with phase transition from quasi static to dynamic loading

Meccanica - Tập 56 - Trang 2039-2051 - 2021
Yonggui Liu1,2, Mengmeng Hui1, Lingyan Shen1
1Department of Mechanics, Henan Polytechnic University, Jiaozuo, China
2CAS Key Laboratory of Mechanical Behavior and Design of Materials, Department of Modern Mechanics, University of Science and Technology of China, Hefei, China

Tóm tắt

Thermo-mechanical coupling is an intrinsic property of first order martensitic transformation. In this paper, we study the temperature evolution during phase transition at a wider strain rates from quasi static to impact loading to reveal the thermodynamic nature of the strain rate effect of phase transition materials. Based on the laws of thermodynamics and the principle of maximum dissipated energy, a thermal-mechanically coupled model was proposed. The model shows that, in the quasi static case, the temperature profile grades around the moving phase boundary, while for the dynamic case, thermal response of the specimen can be reached homogeneously due to random nucleation. The predicted results of the model are in good agreement with the experimental results, suggesting that the interaction between the self-heating effect and the temperature dependence of phase transition behavior plays a leading role in the process of the transformation deformation mechanism associated with the loading rate.

Tài liệu tham khảo

Auricchio F, Sacco E (2001) Thermo-mechanical modelling of a superelastic shape-memory wire under cyclic stretching-bending loadings. Int J Solids Struct 38:6123–6145 Brinson LC, Schmidt I, Lammering R (2004) Stress-induced transformation behavior of a polycrystalline NiTi shape memory alloy: micro and macromechanical investigations via in situ optical microscopy. J Mech Phys Solids 52:1549–1571 Bouvet C, Calloch S, Lexcellent C (2004) A phenomenological model for pseudoelasticity of shape memory alloys under multiaxial proportional and nonproportional loadings. Eur J Mech A Solids 23:37–61 Bruno OP, Leo PH, Reitich F (1995) Free boundary conditions at austenite–martensite interfaces. Phys Rev Lett 74:746–749 Chrysochoos A, Licht C, Peyroux R (2003) A one-dimensional thermomechanical modeling of phase change front propagation in a SMA monocrystal. C R Mecanique 331:25–32 Churchill CB, Shaw JA, Iadicola MA (2010) Tips and tricks for characterizing shape memory alloy wire: part 4-thermo-mechanical coupling. Exp Tech 34:63–80 Chen W, Song B (2006) Temperature dependence of a NiTi shape memory alloy’s superelastic behavior at a high strain rate. J Mech Mater Struct 1(2):329–356 Entemeyer D, Patoor E, Eberhardt A, Berveiller M (2000) Strain rate sensitivity in superelasticity. Int J Plast 16:1269–1288 Favier D, Louche H, Schlosser P, Orgéas L, Vacher P, Debove L (2007) Homogeneous and heterogeneous deformation mechanisms in an austenitic polycrystalline Ti-50.8 at.% Ni thin tube under tension. Investigation via temperature and strain fields measurements. Acta Mater 55:5310–5322 Feng P, Sun QP (2006) Experimental investigation on macroscopic domain formation and evolution in polycrystalline NiTi microtubing under mechanical force. J Mech Phys Solids 54:1568–1603 Grabe C, Bruhns OT (2008) On the viscous and strain rate dependent behavior of polycrystalline NiTi. Int J Solids Struct 45:1876–1895 Guo YZ, Ruan QC, Zhu SX et al (2019) Temperature rise associated with adiabatic shear band: causality clarified. Phys Rev Lett 122:015503-1–15505 He YJ, Sun QP (2010) Rate-dependent domain spacing in a stretched NiTi strip. Int J Solids Struct 47:2775–2783 Huang K, Sun QP, Yu C, Hao Y (2020) Deformation behaviors of gradient nanostructured superelastic NiTi shape memory alloy. Mater Sci Eng A 786:1–5 Iadicola MA, Shaw JA (2004) Rate and thermal sensitivities of unstable transformation behavior in a shape memory alloy. Int J Plast 20(4–5):577–605 Leo PH, Shield TW, Bruno OP (1993) Transient heat transfer effects on the pseudoelastic behavior of shape-memory wires. Acta Metall Mater 41:2477–2485 Li ZQ, Sun QP (2002) The initiation and growth of macroscopic martensite band in nano-grained NiTi microtube under tension. Int J Plast 18:1481–1498 Li YC (2015) Wave mechanics. University of Science and Technology of China Press Liu YG, Shen LY, Shan JF (2019) Experimental study on temperature evolution and strain rate effect on phase transformation of TiNi shape memory alloy under shock loading. Int J Mech Sci 156:342–354 Messner C, Werner EA (2003) Temperature distribution due to localised martensitic transformation in SMA tensile test specimens. Comput Mater Sci 26:95–101 Morin C, Moumi Z, Zaki W (2011) Thermomechanical coupling in shape memory alloys under cyclic loadings: experimental analysis and constitutive modeling. Int J Plast 27:1959–1980 Miller DA, Thissell WR, Macdougall DAS (2000) Dynamic tensile plasticity and damage evolution in shape memory NiTi. J Phys IV 10:341–346 Nemat-Nasser S, Choi JY, Guo W-G, Isaacs JB (2005) Very high strain-rate response of a NiTi shape-memory alloy. Mech Mater 37(2–3):287–298 Otsuka K, Ren X (2005) Physical metallurgy of Ti–Ni-based shape memory alloys. Prog Mater Sci 50(5):511–678 Pieczyska EA, Gadaj V, Nowacki WK, Tobushi H (2006) Phase transformation fronts evolution for stress and strain controlled tension tests in TiNi shape memory alloy. Exp Mech 46(4):531–542 Qiu B, Kang Q, Kang G et al (2019) Rate-dependent transformation ratcheting-fatigue interaction of super-elastic NiTi alloy under uniaxial and torsional loadings: experimental observation. Int J Fatig 127:470–478 Shen LY, Liu YG, Hui MM (2020) Dynamic thermo-mechanical behaviors of SME TiNi alloys subjected to shock loading. Acta Mech Sin 36(6):1336–1349 Shaw JA, Kyriakides S (1995) Thermomechanical aspects of NiTi. J Mech Phys Solids 43:1243–1281 Shaw JA (2000) Simulations of localized thermo-mechanical behavior in a NiTi shape memory alloy. Int J Plast 16:541–562 Sun QP, Li ZQ (2002) Phase transformation in superelastic NiTi polycrystalline micro-tubes under tension and torsion-from localization to homogeneous deformation. Int J Solids Struct 39:3797–3809 Sun QP, He YJ (2008) A multiscale continuum model of the grain-size dependence of the stress hysteresis in shape memory alloy polycrystals. Int J Solids Struct 45:3868–3896 Tobushi H, Shimeno Y, Hachisuka T, Tanaka K (1998) Influence of strain rate on superelastic properties of TiNi shape memory alloy. Mech Mater 30:141–150 Xu R, Cui L, Zheng Y (2006) The dynamic impact behavior of NiTi alloy. Mater Sci Eng A 438:571–574 Yang SY, Dui GS (2013) Temperature analysis of one-dimensional NiTi shape memory alloys under different loading rates and boundary conditions. Int J Solids Struct 50(20):3254–3265 Yang SY, Dui GS, Ma B (2015) Temperature variation of a NiTi wire considering the effects of test machine grips. Acta Mech 226(8):2573–2580 Yao X, Pan Z, Liping L, Yanzhi Z (2017) In situ observation on temperature dependence of martensitic transformation and plastic deformation in superelastic NiTi shape memory alloy. Mater Des 134:111–120 Yang ZL, Wang H, Huang YL et al (2020) Strain rate dependent mechanical response for monoclinic NiTi shape memory alloy: micromechanical decomposition and model validation via neutron diffraction. Mater Des 191:1–15 Yu C, Kang G, Kan Q (2014) Study on the rate-dependent cyclic deformation of super-elastic NiTi shape memory alloy based on a new crystal plasticity constitutive model. Int J Solids Struct 51:4386–4405 Yu C, Kang G, Fang D (2019) A micromechanical constitutive model for unusual temperature-dependent deformation of Mg-NiTi composites. Int J Solids Struct 170:38–52 Zhang XH, Feng P, He YJ, Yu TX, Sun QP (2010) Experimental study on rate dependence of macroscopic domain and stress hysteresis in NiTi shape memory alloy strips. Int J Mech Sci 52:1660–1670 Zurbitu J, Castillo G, Urrutibeascoa I, Aurrekoetxea J (2009) Low-engrgy tensile-impact behavior of superelastic NiTi shape memory alloy wires. Mech Mater 41:1050–1058 Zhuo M (2020) Timescale competition dictates thermo-mechanical responses of NiTi shape memory alloy bars. Int J Solids Struct 193–194:601–617