Micromechanical modeling on thermomechanical coupling of cyclically deformed superelastic NiTi shape memory alloy
Source abstract
Abstract
Abstract The response of NiTi shape memory alloy (SMA) changes drastically with the loading rate. This paper presents a three-dimensional thermomechanically coupled constitutive model to describe the rate dependent cyclic performance of superelastic NiTi SMA. Two inelastic mechanisms, i.e. martensitic transformation and transformation-induced plasticity, are taken into account. The fully coupled heat equilibrium equation is deduced from the first law of thermodynamics. The thermodynamic driving forces of the internal variables are derived from the second law of thermodynamics (Clausius-Duhem inequality). The constitutive model is extended from single crystal scale to polycrystalline version via finite element approach. The validity of the model is verified through simulating thermomechanical response of cyclically tensioned superelastic NiTi SMA at various deformation rates. Moreover, the robustness of the model is checked by simulating the thermomechanical behavior of superelastic NiTi cantilever tube subjected to cyclic bending. The simulation results match with the experimental observation reasonably.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Shape Memory Alloy Transformations
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (73)
Show source-provided references
1. Stress hysteresis and temperature dependence of phase transition stress in nanostructured NiTi–Effects of grain size10.1063/1.4812643 ↗
2. A 3-D phenomenological constitutive model for shape memory alloys under multiaxial loadings10.1016/j.ijplas.2009.12.003 ↗
3. Theoretical and numerical modeling of shape memory alloys accounting for multiple phase transformations and martensite reorientation10.1016/j.ijplas.2014.03.008 ↗
4. Localization in NiTi tubes under bending10.1016/j.ijsolstr.2013.11.023 ↗
5. Thermomechanical modeling of polycrystalline SMAs under cyclic loading, Part I: theoretical derivations10.1016/S0020-7225(98)00113-X ↗
6. A constitutive model for cyclic actuation of high-temperature shape memory alloys10.1016/j.mechmat.2013.07.020 ↗
7. Analysis of the deformation paths and thermomechanical parameter identification of a shape memory alloy using digital image correlation over heterogeneous tests10.1016/j.ijmecsci.2015.03.007 ↗
8. A review of constitutive models and modeling techniques for shape memory alloys10.1016/j.ijplas.2015.08.006 ↗
9. Microstructure changes during non-conventional heat treatment of thin Ni–Ti wires by pulsed electric current studied by transmission electron microscopy10.1016/j.actamat.2010.04.046 ↗
10. Transmission electron microscopy investigation of dislocation slip during superelastic cycling of Ni–Ti wires10.1016/j.ijplas.2010.05.005 ↗
11. Quasi-static characterisation of trained pseudoelastic shape memory alloy wire subjected to cyclic loading: transformation kinetics10.1177/1045389X15585900 ↗
12. The role of texture in tension–compression asymmetry in polycrystalline NiTi10.1016/S0749-6419(98)00060-6 ↗
13. The role of intergranular constraint on the stress-induced martensitic transformation in textured polycrystalline NiTi10.1016/S0749-6419(00)00007-3 ↗
14. Cyclic compression response of micropillars extracted from textured nanocrystalline niti thin-walled tubes10.1016/j.actamat.2017.06.043 ↗
15. Constitutive modeling and structural analysis considering simultaneous phase transformation and plastic yield in shape memory alloys10.1088/0964-1726/18/10/104017 ↗
16. Ambient effect on damping peak of NiTi shape memory alloy10.1016/j.matlet.2010.03.068 ↗
17. On non-monotonic rate dependence of stress hysteresis of superelastic shape memory alloy bars10.1016/j.ijsolstr.2011.02.017 ↗
18. Rate and thermal sensitivities of unstable transformation behavior in a shape memory alloy10.1016/S0749-6419(03)00040-8 ↗
19. Modeling of propagation of phase transformation fronts in NiTi under uniaxial tension10.1016/j.euromechsol.2017.02.004 ↗
20. Experimental observations on rate-dependent cyclic deformation of super-elastic NiTi shape memory alloy10.1016/j.mechmat.2016.02.011 ↗
21. Ratchetting deformation of super-elastic and shape-memory NiTi alloys10.1016/j.mechmat.2008.09.001 ↗
22. Martensite strain memory in the shape memory alloy Nickel-Titanium under mechanical cycling10.1007/s11340-010-9435-2 ↗
23. The effect of texture on stress-induced martensite formation in nickel–titanium10.1088/0964-1726/22/7/075012 ↗
24. The effect of microstructure on stress-induced martensitic transformation under cyclic loading in the SMA Nickel-Titanium10.1016/j.jmps.2016.01.007 ↗
25. Modeling of transformation-induced plasticity and its effect on the behavior of porous shape memory alloys. Part I: constitutive model for fully dense SMAs10.1016/j.mechmat.2003.08.006 ↗
26. Shape memory alloys, Part II: modeling of polycrystals10.1016/j.mechmat.2005.08.003 ↗
27. Effect of temperature and texture on the reorientation of martensite variants in NiTi shape memory alloys10.1016/j.actamat.2017.01.023 ↗
28. Cyclic thermomechanical behavior of a polycrystalline pseudoelastic shape memory alloy10.1016/S0022-5096(01)00088-6 ↗
29. Analytical study on stress-induced phase transitions in geometrically graded shape memory alloy layers. Part I: asymptotic equation and analytical solutions10.1016/j.mechmat.2017.05.013 ↗
30. A micro-macro description for pseudoelasticity of NiTi SMAs subjected to nonproportional deformations10.1016/j.ijplas.2016.12.003 ↗
31. Coupling between martensitic phase transformations and plasticity: a microstructure-based finite element model10.1016/j.ijplas.2010.01.009 ↗
32. Parameter identification of a thermodynamic model for superelastic shape memory alloys using analytical calculation of the sensitivity matrix10.1016/j.euromechsol.2013.12.010 ↗
33. A micromechanical analysis of the coupled thermomechanical superelastic response of textured and untextured polycrystalline NiTi shape memory alloys10.1016/j.actamat.2013.04.023 ↗
34. A constitutive model for shape memory alloys accounting for thermomechanical coupling10.1016/j.ijplas.2010.09.005 ↗
35. Thermomechanical coupling in shape memory alloys under cyclic loadings: experimental analysis and constitutive modeling10.1016/j.ijplas.2011.05.005 ↗
36. Transformation-induced plasticity during pseudoelastic deformation in Ni–Ti microcrystals10.1016/j.actamat.2009.04.009 ↗
37. Physical metallurgy of Ti–Ni-based shape memory alloys10.1016/j.pmatsci.2004.10.001 ↗
38. Multi-axial behavior of shape-memory alloys undergoing martensitic reorientation and detwinning10.1016/j.ijplas.2006.08.002 ↗
39. Shape memory alloys, Part I: general properties and modeling of single crystals10.1016/j.mechmat.2005.05.027 ↗
40. The effect of cyclic tensile loading on the stress-induced transformation mechanism in superelastic NiTi alloys: an in-situ X-ray diffraction study10.1016/j.scriptamat.2014.12.013 ↗
41. Tension, compression, and bending of superelastic shape memory alloy tubes10.1016/j.jmps.2012.12.012 ↗
42. Interplay of martensitic phase transformation and plastic slip in polycrystals10.1016/j.actamat.2013.03.053 ↗
43. The cyclic and evolutionary response to approach the attraction loops under stress controlled isothermal conditions for a multi-mechanism based multi-axial SMA model10.1016/j.mechmat.2013.04.003 ↗
44. Thermomechanical model for NiTi-based shape memory alloys including R-phase and material anisotropy under multi-axial loadings10.1016/j.ijplas.2012.06.008 ↗
45. Simulations of localized thermo-mechanical behavior in a NiTi shape memory alloy10.1016/S0749-6419(99)00075-3 ↗
46. On the multiplication of dislocations during martensitic transformations in NiTi shape memory alloys10.1016/j.actamat.2009.11.028 ↗
47. Non-proportional multiaxial fatigue of super-elastic NiTi shape memory alloy micro-tubes: damage evolution law and life-prediction model10.1016/j.ijmecsci.2017.07.015 ↗
48. A multiscale continuum model of the grain-size dependence of the stress hysteresis in shape memory alloy polycrystals10.1016/j.ijsolstr.2007.12.008 ↗
49. An extension of a shape memory alloy model for large deformations based on an exactly integrable Eulerian rate formulation with changing elastic properties10.1016/j.ijplas.2012.11.009 ↗
50. Superelastic behaviour in tension-torsion of an initially-textured Ti–Ni shape-memory alloy10.1016/S0749-6419(02)00031-1 ↗
51. Thermo-mechanically coupled superelastic response of initially-textured Ti–Ni sheet10.1016/S1359-6454(02)00389-0 ↗
52. Constitutive equations for martensitic reorientation and detwinning in shape-memory alloys10.1016/j.jmps.2004.11.004 ↗
53. Structural fatigue of pseudoelastic NiTi shape memory wires10.1016/j.msea.2003.11.058 ↗
54. A thermomechanically coupled finite-strain constitutive model for cyclic pseudoelasticity of polycrystalline shape memory alloys10.1016/j.ijplas.2017.06.003 ↗
55. A thermomechanically coupled finite deformation constitutive model for shape memory alloys based on Hencky strain10.1016/j.ijengsci.2017.05.003 ↗
56. Micromechanical modelling of the effect of plastic deformation on the mechanical behaviour in pseudoelastic shape memory alloys10.1016/j.ijplas.2007.09.006 ↗
57. An explicit, straightforward approach to modeling SMA pseudoelastic hysteresis10.1016/j.ijplas.2013.08.010 ↗
58. Experimental investigation on rate dependence of thermomechanical response in superelastic NiTi Shape memory alloy10.1007/s11665-015-1688-6 ↗
59. In situ observation on temperature dependence of martensitic transformation and plastic deformation in superelastic NiTi shape memory alloy10.1016/j.matdes.2017.08.037 ↗
60. Numerical study on mechanical response of superelastic NiTi shape memory alloy under various loading conditions10.1088/2053-1591/aa9c06 ↗
61. Observation on rate-dependent cyclic transformation domain of super-elastic NiTi shape memory alloy10.1016/j.msea.2016.06.045 ↗
62. Effect of deformation frequency on temperature and stress oscillations in cyclic phase transition of NiTi shape memory alloy10.1016/j.jmps.2014.01.013 ↗
63. A physical mechanism based constitutive model for temperature-dependent transformation ratchetting of NiTi shape memory alloy: one-dimensional model10.1016/j.mechmat.2014.07.011 ↗
64. Study on the rate-dependent cyclic deformation of super-elastic NiTi shape memory alloy based on a new crystal plasticity constitutive model10.1016/j.ijsolstr.2014.09.006 ↗
65. Effect of martensite reorientation and reorientation-induced plasticity on multiaxial transformation ratchetting of super-elastic NiTi shape memory alloy: new consideration in constitutive model10.1016/j.ijplas.2014.10.001 ↗
66. Rate-dependent cyclic deformation of super-elastic NiTi shape memory alloy: thermo-mechanical coupled and physical mechanism-based constitutive model10.1016/j.ijplas.2015.05.011 ↗
67. Physical mechanism based crystal plasticity model of NiTi shape memory alloys addressing the thermo-mechanical cyclic degeneration of shape memory effect10.1016/j.mechmat.2017.05.005 ↗
68. A three-dimensional model of the thermomechanical behavior of shape memory alloys10.1016/j.jmps.2007.03.012 ↗
69. A 3D model of the cyclic thermomechanical behavior of shape memory alloys10.1016/j.jmps.2007.03.011 ↗
70. Experimental study on rate dependence of macroscopic domain and stress hysteresis in NiTi shape memory alloy strips10.1016/j.ijmecsci.2010.08.007 ↗
71. Experimental and theoretical investigation of the frequency effect on low cycle fatigue of shape memory alloys10.1016/j.ijplas.2016.11.012 ↗
72. Investigation on fatigue behaviors of NiTi polycrystalline strips under stress-controlled tension via in-situ macro-band observation10.1016/j.ijplas.2016.12.008 ↗
73. Change of transformation mechanism during pseudoelastic cycling of NiTi shape memory alloys10.1016/j.msea.2016.11.052 ↗