Three-dimensional constitutive model for structural and functional fatigue of shape memory alloy actuators
Source abstract
Abstract
Abstract A three-dimensional constitutive model is developed that describes the behavior of shape memory alloy actuators undergoing a large number of cycles leading to the development of internal damage and eventual catastrophic failure. Physical mechanisms such as transformation strain generation and recovery, transformation-induced plasticity, and fatigue damage associated with martensitic phase transformation occurring during cyclic loading are all considered within a thermodynamically consistent framework. Fatigue damage in particular is described utilizing a continuum theory of damage. The total damage growth rate has been formulated as a function of the current stress state and the rate of martensitic transformation such that the magnitude of recoverable transformation strain and the complete or partial nature of the transformation cycles impact the total cyclic life as per experimental observations. Simulation results from the model developed are compared to uniaxial actuation fatigue tests at different applied stress levels. It is shown that both lifetime and the evolution of irrecoverable strain are accurately predicted by the developed model.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Shape Memory Alloy Transformations · Titanium Alloys Microstructure and Properties · Elasticity and Material Modeling
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (99)
Show source-provided references
1. A study of actuation fatigue of shape memory alloy
2. A shakedown analysis of high cycle fatigue of shape memory alloys10.1016/j.ijfatigue.2016.01.017 ↗
3. A micromechanical model for martensitic phase-transformations in shape-memory alloys based on energy-relaxation10.1002/zamm.200900244 ↗
4. Thermodynamic and relaxation-based modeling of the interaction between martensitic phase transformations and plasticity10.1016/j.jmps.2011.02.006 ↗
5. Fracture mechanics of shape memory alloys: review and perspectives10.1007/s10704-015-9999-z ↗
6. Thermomechanical transformation fatigue of TiNiCu SMA actuators under a corrosive environment – Part I: experimental results10.1016/j.ijfatigue.2009.04.012 ↗
7. Continuum damage mechanics analysis of fatigue crack initiation10.1016/S0142-1123(98)00032-2 ↗
8. Review of mechanics of shape memory alloy structures10.1115/1.3101674 ↗
9. Thermomechanical modeling of polycrystalline SMAs under cyclic loading, Part I: theoretical derivations10.1016/S0020-7225(98)00113-X ↗
10. Thermomechanical modeling of polycrystalline SMAs under cyclic loading, Part III: evolution of plastic strains and two-way shape memory effect10.1016/S0020-7225(98)00115-3 ↗
11. Ductile damage evolution under triaxial state of stress: theory and experiments10.1016/j.ijplas.2004.06.003 ↗
12. A phenomenological model for pseudoelasticity of shape memory alloys under multiaxial proportional and nonproportional loadings10.1016/j.euromechsol.2003.09.005 ↗
13. A thermodynamical constitutive model for shape memory materials. Part I. The monolithic shape memory alloy10.1016/S0749-6419(96)00030-7 ↗
14. An anisotropic ductile damage model based on irreversible thermodynamics10.1016/S0749-6419(02)00114-6 ↗
15. Actuation fatigue life prediction of shape memory alloys under the constant-stress loading condition10.1016/j.scriptamat.2014.10.005 ↗
16. Phase transformation of anisotropic shape memory alloys: theory and validation in superelasticity10.1007/s40830-015-0027-y ↗
17. Modeling of coupled phase transformation and reorientation in shape memory alloys under non-proportional thermomechanical loading10.1016/j.ijplas.2016.03.005 ↗
18. Periodic homogenization for fully coupled thermomechanical modeling of dissipative generalized standard materials10.1016/j.ijplas.2016.01.013 ↗
19. Chatzigeorgiou · 2018
20. Chemisky Y. Smartplus: smart material algorithms and research tools; 2016.
21. Constitutive model for shape memory alloys including phase transformation, martensitic reorientation and twins accommodation10.1016/j.mechmat.2011.04.003 ↗
22. A constitutive model for cyclic actuation of high-temperature shape memory alloys10.1016/j.mechmat.2013.07.020 ↗
23. 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 ↗
24. A review of constitutive models and modeling techniques for shape memory alloys10.1016/j.ijplas.2015.08.006 ↗
25. Thermodynamics with internal state variables10.1063/1.1711937 ↗
26. Fatigue life prediction under variable loading based on a new non-linear continuum damage mechanics model10.1016/j.ijfatigue.2005.05.001 ↗
27. Generalised Mori-Tanaka scheme to model anisotropic damage using numerical Eshelby tensor10.1177/002199801772662091 ↗
28. On the characterization of fluxes in nonlinear irreversible thermodynamics10.1016/0020-7225(74)90050-0 ↗
29. Structural and functional fatigue of NiTi shape memory alloys10.1016/j.msea.2003.10.327 ↗
30. A stochastic theory for the problem of multiple surface crack coalescence10.1023/A:1007431802050 ↗
31. Low-cycle fatigue life of superelastic NiTi wires10.1016/j.ijfatigue.2008.03.014 ↗
32. A special newton-type optimization method10.1080/02331939208843795 ↗
33. Germain P. Cours de Mécanique des Miliex Continus: Tome I-Théorie Générale. Masson Et Cie, Paris; 1973.
34. Continuum thermodynamics10.1115/1.3167184 ↗
35. Grasa J, Perez MA, Bea JA, Garcia-Aznar JM, Doblare M. A probabilistic damage model for acrylic cements. Application to the life prediction of cemented hip implants. Int J Fatigue 2005;27:891–904.10.1016/j.ijfatigue.2004.12.009 ↗
36. Assessment of tension-compression asymmetry of NiTi using circular bulge testing of thin plates10.1016/j.scriptamat.2011.05.003 ↗
37. Shakedown based model for high-cycle fatigue of shape memory alloys10.1088/0964-1726/25/11/115012 ↗
38. Sur les matériaux standards généralisés
39. Use of Ni60Ti shape memory alloy for active jet engine chevron application, Part II: experimentally validated numerical analysis
40. Aerospace applications of shape memory alloys10.1243/09544100JAERO211 ↗
41. Constitutive modeling and structural analysis considering simultaneous phase transformation and plastic yield in shape memory alloys10.1088/0964-1726/18/10/104017 ↗
42. Three-dimensional modeling and numerical analysis of rate-dependent irrecoverable deformation in shape memory alloys10.1016/j.ijplas.2010.01.002 ↗
43. On the probabilistic-deterministic transition involved in a fragmentation process of brittle materials10.1016/S0045-7949(03)00039-7 ↗
44. Fretting fatigue crack initiation lifetime predictor tool: using damage mechanics approach10.1016/j.triboint.2012.10.028 ↗
45. Hornbogen E. Review Thermo-mechanical fatigue of shape memory alloys; 2004.10.1023/B:JMSC.0000011492.88523.d3 ↗
46. Kan Q, Kang G, Yan W, Dong Y, Yu C. An energy-based fatigue failure model for super-elastic NiTi alloys under pure mechanical cyclic loading. In: International society for optics and photonics, April 2012. p. 84090F.10.1117/12.922148 ↗
47. Whole-life transformation ratchetting and fatigue of super-elastic NiTi Alloy under uniaxial stress-controlled cyclic loading10.1016/j.msea.2011.12.071 ↗
48. NiTiHf-based shape memory alloys10.1179/1743284714Y.0000000598 ↗
49. A constitutive model for Fe-based shape memory alloy considering martensitic transformation and plastic sliding coupling: application to a finite element structural analysis10.1177/1045389X12442014 ↗
50. Models for shape memory alloy behavior: an overview of modeling approaches
51. Implementation of numerical integration schemes for the simulation of magnetic SMA constitutive response10.1088/0964-1726/21/9/094007 ↗
52. Damage modelling of the elementary ply for laminated composites10.1016/0266-3538(92)90097-M ↗
53. Constitutive model for the numerical analysis of phase transformation in polycrystalline shape memory alloys10.1016/j.ijplas.2011.10.009 ↗
54. Lagoudas · 2008
55. Shape memory alloys – Part II: modeling of polycrystals10.1016/j.mechmat.2005.08.003 ↗
56. Modeling and experimental study of simultaneous creep and transformation in polycrystalline high-temperature shape memory alloys10.1177/1045389X09347401 ↗
57. Thermomechanical fatigue of shape memory alloys10.1088/0964-1726/18/8/085021 ↗
58. Modelling 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 ↗
59. Lagoudas DC, Li C, Miller DA, Rong L, Li C. Thermomechanical transformation fatigue of SMA actuators. In: Proceedings of SPIE, smart structures and materials, vol. 3992; 2000. p. 420–9.10.1117/12.388225 ↗
60. Lemaitre · 2002
61. Lemaitre J, Desmorat R. Engineering damage mechanics: ductile, creep, fatigue and brittle failures; 2005.
62. Anisotropic damage law of evolution10.1016/S0997-7538(00)00161-3 ↗
63. Lester BT, Baxevanis T, Chemisky Y, Lagoudas DC. Review and perspectives: shape memory alloy composite systems; 2015.10.1007/s00707-015-1433-0 ↗
64. On the thermodynamic foundations of non-linear solid mechanics10.1016/0020-7462(72)90048-0 ↗
65. Experiments and modeling of anisotropic aluminum extrusions under multi-axial loading Part II: ductile fracture10.1016/j.ijplas.2011.11.001 ↗
66. Mesoscale modelling of tensile response and damage evolution in natural fibre reinforced laminates10.1016/j.compositesb.2017.03.018 ↗
67. Fatigue of pseudoelastic NiTi within the stress-induced transformation regime: a modified Coffin–Manson approach10.1088/0964-1726/21/11/112001 ↗
68. Fatigue properties of a pseudoelastic NiTi alloy: strain ratcheting and hysteresis under cyclic tensile loading10.1016/j.ijfatigue.2014.03.011 ↗
69. Maugin · 1992
70. Implementation of a constitutive micromechanical model for damage analysis in glass mat reinforced composite structures10.1016/S0266-3538(02)00110-0 ↗
71. Parameters identification of fatigue damage model for short glass fiber reinforced polyamide (PA6-GF30) using digital image correlation10.1016/j.proeng.2011.04.349 ↗
72. A review of shape memory alloy research, applications and opportunities10.1016/j.matdes.2013.11.084 ↗
73. Fatigue analysis of shape memory alloys: energy approach10.1088/0964-1726/14/5/017 ↗
74. Superelastic and cyclic response of NiTi SMA at various strain rates and temperatures10.1016/j.mechmat.2005.07.004 ↗
75. Paiva A, Savi MA, Paivia A, Savi MA. An overview of constitutive models for shape memory alloys. Math Problems Eng 2006; 2006:1–30,.10.1155/MPE/2006/56876 ↗
76. Micromechanical modelling of superelasticity in shape memory alloys
77. Shape memory alloys Part I: general properties and modeling of single crystals10.1016/j.mechmat.2005.05.027 ↗
78. A simplified micromechanical constitutive law adapted to the design of shape memory applications by finite element methods10.1016/j.msea.2007.05.117 ↗
79. On the thermodynamics and transformation surfaces of polycrystalline NiTi shape memory alloy material10.1016/S0749-6419(00)00012-7 ↗
80. A thermodynamic internal variable model for the partition of plastic work into heat and stored energy in metals10.1016/S0022-5096(99)00048-4 ↗
81. Effect of strain rate on ductile fracture initiation in advanced high strength steel sheets: experiments and modeling10.1016/j.ijplas.2014.01.003 ↗
82. Identification and probabilistic modeling of mesocrack initiations in 304L stainless steel10.1615/IntJMultCompEng.v9.i4.70 ↗
83. A 3D super-elastic model for shape memory alloys taking into account progressive strain under cyclic loadings
84. Numerical concepts for rate-independent single crystal plasticity10.1016/S0045-7825(02)00563-7 ↗
85. Functional fatigue of Ni-Ti shape memory wires under various loading conditions10.1016/j.ijfatigue.2012.03.004 ↗
86. Creep and fatigue lifetime analysis of directionally solidified superalloy and its brazed joints based on continuum damage mechanics at elevated temperature10.1016/j.matdes.2012.09.052 ↗
87. Strain- and stress-based continuum damage models-I. Formulation10.1016/0020-7683(87)90083-7 ↗
88. Computational inelasticity
89. Damage-based life prediction model for uniaxial low-cycle stress fatigue of super-elastic NiTi shape memory alloy microtubes10.1088/0964-1726/24/8/085007 ↗
90. 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 ↗
91. Low-cycle fatigue of TiNi shape memory alloy and formulation of fatigue life10.1115/1.482785 ↗
92. Cycling effects. Fatigue and degradation of shape memory alloys
93. Non-medical applications of shape memory alloys10.1016/S0921-5093(99)00293-2 ↗
94. Voyiadjis · 1999
95. A coupled anisotropic damage model for the inelastic response of composite materials10.1016/S0045-7825(99)00218-2 ↗
96. Wheeler R, Hartl D, Chemisky Y, Lagoudas D. Modeling of thermo-mechanical fatigue and damage in shape memory alloy axial actuators. In: Proceedings of SPIE – the international society for optical engineering, vol. 9432; 2015.10.1117/12.2175747 ↗
97. An extension of the ZM model for shape memory alloys accounting for plastic deformation10.1016/j.mechmat.2009.11.013 ↗
98. Finite element implementation of multiaxial continuum damage mechanics for plain and fretting fatigue10.1016/j.ijfatigue.2012.04.011 ↗
99. Experimental and theoretical investigation of the frequency effect on low cycle fatigue of shape memory alloys10.1016/j.ijplas.2016.11.012 ↗