Modelling and simulation of cyclic thermomechanical behaviour of NiTi wires using a weak discontinuity approach
Source abstract
Abstract
In this contribution, a thermodynamically consistent and mathematically canonical modelling framework for the investigation of the cyclic thermomechanical behaviour of Nickel-Titanium shape memory alloy wires is developed. Particular focus is placed on the self-heating of the material subjected to multiple load cycles. The relatively high load rates necessitates the consideration of inertia terms, the applied load amplitudes of six percent strain motivates the use of a non-linear, Hencky-type strain measure. Comparisons of the results with experimental data on the one hand reveal reasonable results and on the other hand underline the necessity of further model enhancements.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Shape Memory Alloy Transformations · Metal and Thin Film Mechanics · Intermetallics and Advanced Alloy Properties
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (33)
Show source-provided references
1. Abeyaratne R, Knowles J (1990) On the driving traction acting on a surface of strain discontinuity in a continuum. J Mech Phys Sol 38:345–36010.1016/0022-5096(90)90003-M ↗
2. Auricchio F, Reali A, Stefanelli U (2007) A three-dimensional model describing stress-induced solid phase transformation with permanent inelasticity. Int J Plast 23:207–22610.1016/j.ijplas.2006.02.012 ↗
3. Auricchio F, Petrini L (2004) A three-dimensional model describing stress-temperature induced solid phase transformations: thermomechanical coupling and hybrid composite applications. Int J Numer Methods Eng 61:716–73710.1002/nme.1087 ↗
4. Barrera N, Biscari P, Urbano MF (2014) Macroscopic modeling of functional fatigue in shape memory alloys. Eur J Mech A Solids 45:101–10910.1016/j.euromechsol.2013.11.015 ↗
5. Bartel T, Menzel A, Svendsen B (2011) Thermodynamic and relaxation-based modeling of the interaction between martensitic phase transformations and plasticity. J Mech Phys Sol 59:1004–101910.1016/j.jmps.2011.02.006 ↗
6. Bartel T, Osman M, Menzel A (2016) A phenomenological model for the simulation of functional fatigue in shape memory alloy wires. Meccanica. doi: 10.1007/s11012-016-0419-x10.1007/s11012-016-0419-x ↗
7. Biot MA (1965) Mechanics of incremental deformations. Wiley, New York
8. Coleman B, Noll W (1963) The thermodynamics of elastic materials with heat conduction and viscosity. Arch Ration Mech Anal 13:167–17810.1007/BF01262690 ↗
9. Demersa V, Brailovski V, Prokoshkinb SD, Inaekyana KE (2009) Thermomechanical fatigue of nanostructured Ti-Ni shape memory alloys. Mater Sci Eng A 513–514:185–19610.1016/j.msea.2009.01.055 ↗
10. Edelen DGB (1973) On the existence of symmetry relations and dissipation potentials. Arch Ration Mech Anal 51:218–22710.1007/BF00276075 ↗
11. Eggeler G, Hornbogen E, Yawny A, Heckmann A, Wagner M (2004) Structural and functional fatigue of Ni–Ti shape memory alloys. Mater Sci Eng A 378:24–3310.1016/j.msea.2003.10.327 ↗
12. Hartl D, Lagoudas D (2007) Aerospace applications of shape memory alloys. Proc Inst Mech Eng 221:535–55210.1243/09544100JAERO211 ↗
13. Hartl DJ, Lagoudas DC (2009) Constitutive modeling and structural analysis considering simultaneous phase transformation and plastic yield in shape memory alloys. Smart Mater Struct 18:1–1710.1088/0964-1726/18/10/104017 ↗
14. Hornbogen E (2004) Thermo-mechanical fatigue of shape memory alloys. J Mater Sci 39:385–39910.1023/B:JMSC.0000011492.88523.d3 ↗
15. Jani JM, Leary M, Subic A, Gibson MA (2014) A review of shape memory alloy research, applications and opportunities. Mater Design 2014:1078–111310.1016/j.matdes.2013.11.084 ↗
16. Kang G, Kan Q, Yu C, Song D, Liu Y (2012) Whole-life transformation ratchetting and fatigue of super-elastic niti alloy under uniaxial stress-controlled cyclic loading. Mater Sci Eng A 535:228–23410.1016/j.msea.2011.12.071 ↗
17. Lagoudas DC (2008) Shape memory alloys: modeling and engineering applications. Springer, Berlin
18. Li YF, Mi XJ, Tan J, Gao BD (2009) Thermo-mechanical cyclic transformation behavior of Ti-Ni shape memory alloy wire. Mater Sci Eng A 509:8–1310.1016/j.msea.2009.02.041 ↗
19. McCormick PG, Liu Y (1994) Thermodynamic analysis of the martensitic transformation in NiTi-II. Effect of transformation cycling. Acta Metall Mater 42(7):2407–241310.1016/0956-7151(94)90319-0 ↗
20. Merzouki T, Duval A, Zineb T (2012) Finite element analysis of a shape memory alloy actuator for a micropump. Simul Model Pract Theory 27:112–12610.1016/j.simpat.2012.05.006 ↗
21. Miyazaki S, Igo Y, Otsuka K (1986) Effect of thermal cycling on the transformation temperatures of Ti-Ni alloys. Acta Metall 34(10):2045–205110.1016/0001-6160(86)90263-4 ↗
22. Müller I, Seelecke S (2001) Thermodynamic aspects of shape memory alloys. Math Comput Model 34:1307–135510.1016/S0895-7177(01)00134-0 ↗
23. Nayan N, Buravalla V, Ramamurty U (2009) Effect of mechanical cycling on the stress–strain response of a martensitic Nitinol shape memory alloy. Mater Sci Eng A 525:60–6710.1016/j.msea.2009.07.038 ↗
24. Ostwald R, Bartel T, Menzel A (2012) Phase-transformations interacting with plasticity—a micro-sphere model applied to TRIP steel. Comput Mater Sci 64:12–1610.1016/j.commatsci.2012.05.015 ↗
25. Ostwald R, Bartel T, Menzel A (2015) An energy-barrier-based computational micro-sphere model for phase-transformations interacting with plasticity. Comput Methods Appl Mech Eng 293:232–26510.1016/j.cma.2015.04.008 ↗
26. Petrini L, Migliavacca F (2011) Biomedical applications of shape memory alloys. J Metall doi: 10.1155/2011/50148310.1155/2011/501483 ↗
27. Robertson SW, Pelton AR, Ritchie RO (2012) Mechanical fatigue and fracture of nitinol. Int Mater Rev 57(1):1–3710.1179/1743280411Y.0000000009 ↗
28. Souza AC, Mamiya EN, Zouain N (1998) Three-dimensional model for solids undergoing stress-induced phase transformations. Eur J Mech A Solids 17:789–80610.1016/S0997-7538(98)80005-3 ↗
29. Truesdell C, Noll W (1965) The non-linear field theories of mechanics. Springer, Berlin10.1007/978-3-642-46015-9_1 ↗
30. Wolfram S (2016) NMinimize—Wolfram language documentation (2016). https://reference.wolfram.com/language/ref/NMinimize.html
31. Yawny A, Olbricht J, Sade M, Eggeler G (2008) Pseudoelastic cycling and ageing effects at ambient temperatures in nanocrystalline Ni-rich NiTi wire. Mater Sci Eng A 481–482:86–9010.1016/j.msea.2007.04.124 ↗
32. Yin H, He Y, Sun Q (2014) Effect of deformation frequency on temperature and stress oscillations in cyclic phase transition of NiTi shape memory alloy. J Mech Phys Sol 67:100–12810.1016/j.jmps.2014.01.013 ↗
33. Ziegler H (1963) Some extremum principles in irreversible thermodynamics with application to continuum mechanics. No. IV in progress in solid mechanics. North-Holland Publishing Company, North-Holland