A review of shape memory alloy research, applications and opportunities, Materials & Design, vol.56, pp.1078-1113, 2014. ,
Structural and functional fatigue of NiTi shape memory alloys, Materials Science and Engineering: A, vol.378, issue.1-2, pp.24-33, 2004. ,
DOI : 10.1016/j.msea.2003.10.327
, REFERENCES
Mechanical fatigue and fracture of Nitinol, International Materials Reviews, vol.5, issue.1, pp.1-37, 2012. ,
DOI : 10.1016/j.jvir.2008.09.032
Shakedown analysis of shape memory alloy structures, International Journal of Plasticity, vol.23, issue.2, pp.183-206, 2007. ,
DOI : 10.1016/j.ijplas.2006.04.001
CYCLING EFFECTS, FATIGUE AND DEGRADATION OF SHAPE MEMORY ALLOYS, Le Journal de Physique IV, vol.01, issue.C4, pp.189-197, 1991. ,
DOI : 10.1051/jp4:1991429
Ratchetting deformation of super-elastic and shape-memory NiTi alloys, Mechanics of Materials, vol.41, issue.2, pp.139-153, 2009. ,
DOI : 10.1016/j.mechmat.2008.09.001
Fatigue life of Ti???50 at.% Ni and Ti???40Ni???10Cu (at.%) shape memory alloy wires, Materials Science and Engineering: A, vol.273, issue.275, pp.273-275658, 1999. ,
DOI : 10.1016/S0921-5093(99)00344-5
Low-Cycle Fatigue of TiNi Shape Memory Alloy and Formulation of Fatigue Life, Journal of Engineering Materials and Technology, vol.30, issue.2, pp.186-191, 1999. ,
DOI : 10.1016/S0167-6636(98)00041-6
Phase transformation behavior of pseudoelastic NiTi shape memory alloys under large strain, Journal of Alloys and Compounds, vol.463, issue.1-2, pp.417-422, 2008. ,
DOI : 10.1016/j.jallcom.2007.09.029
Cyclic effects in shape-memory alloys: a one-dimensional continuum model, Journal de Physique IV France, vol.11, pp.577-582, 2001. ,
On the cyclic stability of the thermomechanical behavior of NiTi shape memory cylindrical actuators, European Journal of Mechanics - A/Solids, vol.64, pp.143-159, 2017. ,
DOI : 10.1016/j.euromechsol.2017.02.005
Multi-scale shape memory effect recovery in niti alloys additive manufactured by selective laser melting and laser directed energy deposition, Journal of Materials Processing Technology, vol.250, pp.55-64, 2017. ,
A three-dimensional model describing stress-induced solid phase transformation with permanent inelasticity, International Journal of Plasticity, vol.23, issue.2, pp.207-226, 2007. ,
DOI : 10.1016/j.ijplas.2006.02.012
A constitutive model for isothermal pseudoelasticity coupled with plasticity. Shape Memory and Superelasticity, pp.360-370, 2016. ,
DOI : 10.1007/s40830-016-0078-8
URL : https://link.springer.com/content/pdf/10.1007%2Fs40830-016-0078-8.pdf
Macroscopic modeling of functional fatigue in shape memory alloys, European Journal of Mechanics - A/Solids, vol.45, pp.101-109, 2014. ,
DOI : 10.1016/j.euromechsol.2013.11.015
Three-dimensional modeling and numerical analysis of rate-dependent irrecoverable deformation in shape memory alloys, International Journal of Plasticity, vol.26, issue.10, pp.1485-1507, 2010. ,
DOI : 10.1016/j.ijplas.2010.01.002
A 3D super-elastic model for shape memory alloys taking into account progressive strain under cyclic loadings, Mechanics of Materials, vol.41, issue.1, pp.12-26, 2009. ,
DOI : 10.1016/j.mechmat.2008.07.004
URL : https://hal.archives-ouvertes.fr/hal-00449131
A 3D model of the cyclic thermomechanical behavior of shape memory alloys, Journal of the Mechanics and Physics of Solids, vol.55, issue.11, pp.2427-2454, 2007. ,
DOI : 10.1016/j.jmps.2007.03.011
A constitutive model for transformation, reorientation and plastic deformation of shape memory alloys, Acta Mechanica Solida Sinica, vol.28, issue.2, pp.285-298, 2012. ,
DOI : 10.1080/14786437308217452
Thermomechanical modeling of polycrystalline SMAs under cyclic loading, Part III: evolution of plastic strains and two-way shape memory effect, International Journal of Engineering Science, vol.37, issue.9, pp.1175-1203, 1999. ,
DOI : 10.1016/S0020-7225(98)00115-3
A review of constitutive models and modeling techniques for shape memory alloys, International Journal of Plasticity, vol.76, pp.244-284, 2016. ,
Modeling the cyclic behavior of shape memory alloys. Shape Memory and Superelasticity, pp.124-138, 2017. ,
DOI : 10.1007/s40830-017-0105-4
A constitutive model for shape memory alloys considering tensile???compressive asymmetry and plasticity, International Journal of Solids and Structures, vol.42, issue.11-12, pp.3439-3457, 2005. ,
DOI : 10.1016/j.ijsolstr.2004.11.006
The role of inelastic deformations in the mechanical response of endovascular shape memory alloy devices, Proceedings of the Institution of Mechanical Engineers, pp.391-404 ,
DOI : 10.1088/0964-1726/18/10/104017
A Shape Memory Alloy Model for Uranium-Niobium Accounting for Plasticity, Journal of Intelligent Material Systems and Structures, vol.18, issue.10, pp.815-823, 1997. ,
DOI : 10.1007/BF02648337
Modeling of transformation-induced plasticity and its effect on the behavior of porous shape memory alloys. Part I: constitutive model for fully dense SMAs, Mechanics of Materials, vol.36, issue.9, pp.865-892, 2004. ,
DOI : 10.1016/j.mechmat.2003.08.006
Shakedown theorems and asymptotic behaviour of solids in non-smooth mechanics, European Journal of Mechanics - A/Solids, vol.29, issue.5, pp.784-793, 2010. ,
DOI : 10.1016/j.euromechsol.2010.03.011
URL : https://hal.archives-ouvertes.fr/hal-00839292
On shakedown of shape memory alloys structures, Annals of Solid and Structural Mechanics, vol.290, issue.15, pp.17-28, 2014. ,
DOI : 10.1016/j.cma.2012.03.004
URL : https://hal.archives-ouvertes.fr/hal-01093232
Shakedown based model for high-cycle fatigue of shape memory alloys, Smart Materials and Structures, vol.25, issue.11, pp.1-15, 2016. ,
DOI : 10.1088/0964-1726/25/11/115012
A shakedown analysis of high cycle fatigue of shape memory alloys, International Journal of Fatigue, vol.87, pp.112-123, 2016. ,
DOI : 10.1016/j.ijfatigue.2016.01.017
URL : https://hal.archives-ouvertes.fr/hal-01282081
Constitutive model for the numerical analysis of phase transformation in polycrystalline shape memory alloys, International Journal of Plasticity, vol.32, issue.33, pp.32-33155, 2012. ,
DOI : 10.1016/j.ijplas.2011.10.009
Time integration of a model for martensite detwinning and reorientation under nonproportional loading using Lagrange multipliers, International Journal of Solids and Structures, vol.49, issue.21, pp.2951-2961, 2012. ,
DOI : 10.1016/j.ijsolstr.2012.05.038
URL : https://doi.org/10.1016/j.ijsolstr.2012.05.038
Thermomechanical model for NiTi-based shape memory alloys including R-phase and material anisotropy under multi-axial loadings, International Journal of Plasticity, vol.39, pp.132-151, 2012. ,
DOI : 10.1016/j.ijplas.2012.06.008
A robust model of pseudoelasticity in shape memory alloys, International Journal for Numerical Methods in Engineering, vol.85, issue.15, pp.747-769, 2013. ,
DOI : 10.1016/0045-7825(91)90022-X
An incremental energy minimization state update algorithm for 3D phenomenological internal-variable SMA constitutive models based on isotropic flow potentials, International Journal for Numerical Methods in Engineering, vol.57, issue.7, pp.197-220, 2015. ,
DOI : 10.1002/nme.718
A robust and efficient radial return algorithm based on incremental energy minimization for the 3D Souza-Auricchio model for shape memory alloys, European Journal of Mechanics - A/Solids, vol.61, pp.364-382, 2017. ,
DOI : 10.1016/j.euromechsol.2016.10.013
URL : https://hal.archives-ouvertes.fr/hal-01420193
Numerical simulation of shape memory alloys structures using interior-point methods, International Journal of Solids and Structures, vol.48, issue.20, pp.2791-2799, 2011. ,
DOI : 10.1016/j.ijsolstr.2011.05.017
URL : https://hal.archives-ouvertes.fr/hal-00875256
, REFERENCES
An incremental variational approach to coupled thermo-mechanical problems in anelastic solids. Application to shape-memory alloys, International Journal of Solids and Structures, vol.50, issue.24, pp.4043-4054, 2013. ,
DOI : 10.1016/j.ijsolstr.2013.08.013
URL : https://hal.archives-ouvertes.fr/hal-01111474
Three-dimensional model for solids undergoing stress-induced phase transformations, European Journal of Mechanics - A/Solids, vol.17, issue.5, pp.789-806, 1998. ,
DOI : 10.1016/S0997-7538(98)80005-3
Fatigue and durability of Nitinol stents, Journal of the Mechanical Behavior of Biomedical Materials, vol.1, issue.2, pp.153-164, 2008. ,
DOI : 10.1016/j.jmbbm.2007.08.001
Shape memory alloy actuators: Design, fabrication and experimental evaluation, 2016. ,
DOI : 10.1002/9781118426913
Opérateurs maximum monotones et semigroupes de contractions dans les espaces de Hilbert: North-Holland, 1972. ,
Convex analysis, 1970. ,
DOI : 10.1515/9781400873173
Sur les matériaux standard généralisés, Journal de mécanique, vol.14, pp.39-63, 1975. ,
A three-dimensional model describing stress-temperature induced solid phase transformations: solution algorithm and boundary value problems, International Journal for Numerical Methods in Engineering, vol.61, issue.6, pp.807-836, 2004. ,
DOI : 10.1002/nme.1086
From linear to nonlinear iterative methods, Applied Numerical Mathematics, vol.45, issue.1, pp.59-77, 2003. ,
DOI : 10.1016/S0168-9274(02)00235-0
A bisection method to find all solutions of a system of nonlinear equations, Contemporary Mathematics, vol.180, pp.277-282, 1994. ,
DOI : 10.1090/conm/180/01982
Abaqus, analysis user's manual, 2010. ,
Development of an effective and user-friendly numerical framework for the simulation of complex smart material components and devices, Abstract of the First International Conference on Materials Design and Applications, 2016. ,
Automation of finite element methods, 2016. ,
DOI : 10.1007/978-3-319-39005-5