Shape Memory Alloy Engineering, 2015. ,
A 3-D phenomenological constitutive model for shape memory alloys under multiaxial loadings, International Journal of Plasticity, vol.26, issue.7, pp.976-991 ,
DOI : 10.1016/j.ijplas.2009.12.003
Theoretical and numerical modeling of shape memory alloys accounting for multiple phase transformations and martensite reorientation, International Journal of Plasticity, vol.59, pp.30-54 ,
DOI : 10.1016/j.ijplas.2014.03.008
Shape-memory alloys: macromodelling and numerical simulations of the superelastic behavior, Computer Methods in Applied Mechanics and Engineering, vol.146, issue.3-4, pp.281-31201232, 1997. ,
DOI : 10.1016/S0045-7825(96)01232-7
Phase diagram based description of the hysteresis behavior of shape memory alloys, Acta Materialia, vol.46, issue.10, pp.3649-3665, 1998. ,
DOI : 10.1016/S1359-6454(97)00490-4
Nonlinear Finite Elements for Continua and Structures, p.25, 2000. ,
Thermomechanical transformation fatigue of TiNiCu SMA actuators under a corrosive environment ??? Part I: Experimental results, International Journal of Fatigue, vol.31, issue.10, pp.311571-1578 ,
DOI : 10.1016/j.ijfatigue.2009.04.012
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 robust three-dimensional phenomenological model for polycrystalline SMAs: Analytical closed-form solutions, International Journal of Engineering Science, vol.82, pp.1-21, 2014. ,
DOI : 10.1016/j.ijengsci.2014.05.002
A phenomenological model for pseudoelasticity of shape memory alloys under multiaxial proportional and nonproportional loadings, European Journal of Mechanics - A/Solids, vol.23, issue.1, pp.37-61, 2004. ,
DOI : 10.1016/j.euromechsol.2003.09.005
Thermomechanical Response of Shape Memory Composites, Journal of Intelligent Material Systems and Structures, vol.24, issue.123, pp.333-346, 1994. ,
DOI : 10.1177/1045389X9400500306
A thermodynamical constitutive model for shape memory materials ,
The monolithic shape memory alloy, International Journal of Plasticity, vol.12, issue.8, pp.805-842, 1996. ,
Simplifications and Comparisons of Shape Memory Alloy Constitutive Models, Journal of Intelligent Material Systems and Structures, vol.51, issue.4, pp.108-114, 1996. ,
DOI : 10.1177/1045389X9600700112
Micro and Macromechanical Investigations of CuAlNi Single Crystal and CuAlMnZn Polycrystalline Shape Memory Alloys, Journal of Intelligent Materials Systems and Structures, vol.13, issue.12, pp.761-772, 2002. ,
DOI : 10.1177/1045389X02013012002
One-Dimensional Constitutive Behavior of Shape Memory Alloys: Thermomechanical Derivation with Non-Constant Material Functions and Redefined Martensite Internal Variable, Journal of Intelligent Material Systems and Structures, vol.4, issue.2, pp.229-242, 1993. ,
DOI : 10.1177/1045389X9300400213
Constitutive model for shape memory alloys including phase transformation, martensitic reorientation and twins accommodation, Mechanics of Materials, vol.43, issue.7, pp.361-376 ,
DOI : 10.1016/j.mechmat.2011.04.003
Analysis of the deformation paths and thermomechanical parameter identification of a shape memory alloy using digital image correlation over heterogeneous tests, International Journal of Mechanical Sciences, vol.96, issue.97, pp.96-9713 ,
DOI : 10.1016/j.ijmecsci.2015.03.007
URL : https://hal.archives-ouvertes.fr/hal-01196302
Thermodynamics with internal variables, J. Chem. Phys, vol.47, issue.15, pp.85-98, 1967. ,
The thermodynamics of elastic materials with heat conduction and viscosity, Archive for Rational Mechanics and Analysis, vol.4, issue.1, pp.167-184, 1963. ,
DOI : 10.1007/BF01262690
Dialogue essais-simulation et identification de lois de comportement d'alliage à mémoire de forme en chargement multiaxial, p.15 ,
Cyclic deformation mechanisms in precipitated NiTi shape memory alloys, Acta Materialia, vol.50, issue.18 ,
DOI : 10.1016/S1359-6454(02)00315-4
Determination and transport of phase transformation yield surfaces for shape memory alloys, Zeitschrift für Angewandte Mathematik und Mechanik, pp.595-604, 200900364. ,
DOI : 10.1002/zamm.200900364
Tension/torsion tests of pseudoelastic, polycrystalline NiTi shape memory alloys under temperature control Path dependence and multiaxial behavior of a polycrystalline NiTi alloy within the pseudoelastic and pseudoplastic temperature regimes, Materials Science and Engineering: A International Journal of Plasticity, vol.25, issue.3, pp.481-482, 2008. ,
Assessment of tension???compression asymmetry of NiTi using circular bulge testing of thin plates, Scripta Materialia, vol.65, issue.4, pp.347-350 ,
DOI : 10.1016/j.scriptamat.2011.05.003
URL : https://hal.archives-ouvertes.fr/hal-00757982
Shape Memory and Pseudoelastic Properties of Fe-Mn-Si and Ti-Ni Based Alloys, Le Journal de Physique IV, vol.07, issue.C5, pp.7-12, 1997. ,
DOI : 10.1051/jp4:1997574
Constitutive modeling and structural analysis considering simultaneous phase transformation and plastic yield in shape memory alloys, Smart Materials and Structures, vol.18, issue.10, pp.1040170964-1726, 2009. ,
DOI : 10.1088/0964-1726/18/10/104017
Use of a Ni60Ti shape memory alloy for active jet engine chevron application: I. Thermomechanical characterization, Smart Materials and Structures, vol.19, issue.8, pp.964-1726, 15020. ,
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 ,
DOI : 10.1016/j.ijplas.2010.01.002
Three-dimensional constitutive model considering transformation-induced damage and resulting fatigue failure in shape memory alloys, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, page 905805. International Society for Optics and Photonics ,
URL : https://hal.archives-ouvertes.fr/hal-01199560
Effect of training conditions and extended thermal cycling on nitinol two-way shape memory behavior, Smart Materials and Structures, vol.4, issue.4, pp.298-3040964, 1995. ,
DOI : 10.1088/0964-1726/4/4/010
Shape memory behaviour: modelling within continuum thermomechanics, International Journal of Solids and Structures, vol.40, issue.4, pp.827-849, 2003. ,
DOI : 10.1016/S0020-7683(02)00621-2
A Theory of the Yielding and Plastic Flow of Anisotropic Metals, Proc. Roy. Soc. London, pp.281-297, 1948. ,
DOI : 10.1098/rspa.1948.0045
A Simple Model for Shape Memory Alloys Under Multi-axial Non-Proportional Loading, Smart Materials, pp.51-65, 2001. ,
DOI : 10.1007/978-3-642-56855-8_5
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
Magnetic field-induced martensitic variant reorientation in magnetic shape memory alloys, Philosophical Magazine, vol.70, issue.33-35, 2007. ,
DOI : 10.1016/S0167-6636(01)00088-6
Characterization and modeling of the magnetic field-induced strain and work output in magnetic shape memory alloys, Journal of Magnetism and Magnetic Materials, vol.312, issue.1, pp.164-175 ,
DOI : 10.1016/j.jmmm.2006.09.035
Computational mechanics of Nitinol stent grafts, Journal of Biomechanics, vol.41, issue.11, pp.2370-2378 ,
DOI : 10.1016/j.jbiomech.2008.05.032
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 ,
DOI : 10.1016/j.ijplas.2011.10.009
Thermomechanical fatigue of shape memory alloys, Smart Materials and Structures, vol.18, issue.8, pp.850210964-1726085021, 2009. ,
DOI : 10.1088/0964-1726/18/8/085021
Shape Memory Alloys -Modeling and Engineering Applications, p.15, 2008. ,
Thermomechanical modeling of polycrystalline SMAs under cyclic loading, Part II: material characterization and experimental results for a stable transformation cycle, International Journal of Engineering Science, vol.37, issue.9, pp.1141-117300114, 1999. ,
DOI : 10.1016/S0020-7225(98)00114-1
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 ,
DOI : 10.1016/j.mechmat.2003.08.006
Shape memory alloys, Part II: Modeling of polycrystals, Mechanics of Materials, vol.38, issue.5-6, pp.430-462 ,
DOI : 10.1016/j.mechmat.2005.08.003
A general macroscopic description of the thermomechanical behavior of shape memory alloys, Journal of the Mechanics and Physics of Solids, vol.44, issue.6, pp.953-9800022, 1996. ,
DOI : 10.1016/0022-5096(96)00013-0
Mechanics of Solid Materials, p.17, 2002. ,
IUTAM Symposium on Mechanics of Martensitic Phase Transformation in Solids, 2002. ,
Experimental and numerical determinations of the initial surface of phase transformation under biaxial loading in some polycrystalline shape-memory alloys, Journal of the Mechanics and Physics of Solids, vol.50, issue.12, pp.2717-2735, 2002. ,
DOI : 10.1016/S0022-5096(02)00007-8
URL : https://hal.archives-ouvertes.fr/hal-00079417
Stabilisation of martensite due to shear deformation via variant reorientation in polycrystalline NiTi, Acta Materialia, vol.48, issue.13, pp.3489-3499, 2000. ,
DOI : 10.1016/S1359-6454(00)00129-4
On the thermodynamic foundations of non-linear solid mechanics, International Journal of Non-Linear Mechanics, vol.7, issue.3, pp.237-25472, 1972. ,
DOI : 10.1016/0020-7462(72)90048-0
Determination of the elasto-plastic properties of aluminium using a mixed numerical???experimental method, Journal of Materials Processing Technology, vol.75, issue.1-3, pp.204-211, 1998. ,
DOI : 10.1016/S0924-0136(97)00366-X
A review of shape memory alloy research, applications and opportunities, Materials & Design (1980-2015), vol.56, pp.1078-1113, 2014. ,
DOI : 10.1016/j.matdes.2013.11.084
Thermomechanical coupling in shape memory alloys under cyclic loadings: Experimental analysis and constitutive modeling, International Journal of Plasticity, vol.27, issue.12, pp.1959-1980 ,
DOI : 10.1016/j.ijplas.2011.05.005
Thermodynamic aspects of shape memory alloys, Mathematical and Computer Modelling, vol.34, issue.12-13, pp.12-131307, 2001. ,
DOI : 10.1016/S0895-7177(01)00134-0
The influence of temperature on the evolution of functional properties during pseudoelastic cycling of ultra fine grained NiTi, Materials Science and Engineering: A, vol.481, issue.482, pp.481-482142 ,
DOI : 10.1016/j.msea.2007.01.182
Shape Memory Materials, 1999. ,
A three-dimensional phenomenological model for martensite reorientation in shape memory alloys, Journal of the Mechanics and Physics of Solids, vol.55, issue.11, pp.2491-2511 ,
DOI : 10.1016/j.jmps.2007.03.010
Determination of the Origin for the Dissymmetry Observed between Tensile and Compression Tests on Shape Memory Alloys, Le Journal de Physique IV, vol.05, issue.C2, pp.495-500, 1995. ,
DOI : 10.1051/jp4:1995276
URL : https://hal.archives-ouvertes.fr/jpa-00253662
Shape memory alloys, Part I: General properties and modeling of single crystals, Mechanics of Materials, vol.38, issue.5-6, pp.5-6 ,
DOI : 10.1016/j.mechmat.2005.05.027
A simplified micromechanical constitutive law adapted to the design of shape memory applications by finite element methods, Materials Science and Engineering: A, vol.481, issue.482, pp.481-482384, 2008. ,
DOI : 10.1016/j.msea.2007.05.117
Characteristics of Deformation and Transformation in Ti<SUB>44</SUB>Ni<SUB>47</SUB>Nb<SUB>9</SUB> Shape Memory Alloy, Materials Transactions, JIM, vol.33, issue.4, pp.346-353 ,
DOI : 10.2320/matertrans1989.33.346
A 3-D constitutive model for shape memory alloys incorporating pseudoelasticity and detwinning of self-accommodated martensite, International Journal of Plasticity, vol.23, issue.10-11, pp.10-111679 ,
DOI : 10.1016/j.ijplas.2007.03.011
On thermomechanics and transformation surfaces of polycrystalline NiTi shape memory alloy material, International Journal of Plasticity, vol.16, issue.10-11, pp.10-111309, 2000. ,
DOI : 10.1016/S0749-6419(00)00012-7
Experimental study of pseudoelastic behaviour of a Cu Zn AI polycrystalline shape memory alloy under tension-torsion proportional and non-proportional. Archives of Mechanics, p.15, 1996. ,
Super-elastic behavior of shape memory alloys under proportional cyclic loadings, Materials Science and Engineering: A, vol.481, issue.482, pp.481-482174 ,
DOI : 10.1016/j.msea.2007.02.144
URL : https://hal.archives-ouvertes.fr/hal-00449151
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 general hereditary multimechanism-based deformation model with application to the viscoelastoplastic response of titanium alloys, International Journal of Plasticity, vol.17, issue.10, pp.1305-1350, 2001. ,
DOI : 10.1016/S0749-6419(00)00086-3
A multi-axial, multimechanism based constitutive model for the comprehensive representation of the evolutionary response of SMAs under general thermomechanical loading conditions, International Journal of Plasticity, vol.27, issue.5, pp.655-687 ,
DOI : 10.1016/j.ijplas.2010.08.012
Thermomechanical model for NiTi-based shape memory alloys including R-phase and material anisotropy under multi-axial loadings, International Journal of Plasticity, vol.39, issue.null, pp.132-151 ,
DOI : 10.1016/j.ijplas.2012.06.008
Shape memory alloy actuators in smart structures: Modeling and simulation, Applied Mechanics Reviews, vol.57, issue.1, 2004. ,
DOI : 10.1115/1.1584064
Thermomechanical aspects of NiTi, Journal of the Mechanics and Physics of Solids, vol.43, issue.8, pp.1243-1281, 1995. ,
DOI : 10.1016/0022-5096(95)00024-D
Initiation and propagation of localized deformation in elasto-plastic strips under uniaxial tension, International Journal of Plasticity, vol.13, issue.10, pp.837-871, 1997. ,
DOI : 10.1016/S0749-6419(97)00062-4
Experimental study on the thermoelastic martensitic transformation in shape memory alloy polycrystal induced by combined external forces, Metallurgical and Materials Transactions A, vol.32, issue.11, pp.2923-2935, 1995. ,
DOI : 10.1007/BF02669649
Anisotropy of martensitic transformations in modeling of shape memory alloy polycrystals, International Journal of Plasticity, vol.16, issue.00 8, pp.10-111243, 2000. ,
Three-dimensional model for solids undergoing stressinduced phase transitions, European Journal of Mechanics -A/Solids1, pp.789-806, 1998. ,
The two way memory effect in copper-based shape memory alloys ??? thermodynamics and mechanisms, Acta Metallurgica et Materialia, vol.40, issue.11, pp.2921-29310956, 1992. ,
DOI : 10.1016/0956-7151(92)90456-O
Thermomechanical cycling, two way memory and concomitant effects in Cu???Zn???Al alloys, Acta Metallurgica et Materialia, vol.40, issue.3, pp.501-5110956, 1992. ,
DOI : 10.1016/0956-7151(92)90399-Y
Étude du comportement thermomécanique des alliages à mémoire de forme sous sollicitations multiaxiales complexes, 2006. ,
Equivalent transformation strain and its relation with martensite volume fraction for isotropic and anisotropic shape memory alloys, Mechanics of Materials, vol.40, issue.4-5, pp.151-170, 2008. ,
DOI : 10.1016/j.mechmat.2007.07.005
URL : https://hal.archives-ouvertes.fr/hal-00449152
A General Theory of Strength for Anisotropic Materials, Journal of Composite Materials, vol.5, issue.1, pp.58-80, 1971. ,
DOI : 10.1177/002199837100500106
The nonlinear relationship between transformation strain and applied stress for nitinol, Materials Letters, vol.57, issue.7, pp.1334-1338, 2003. ,
DOI : 10.1016/S0167-577X(02)00983-7
A macro-constitutive model of polycrystalline NiTi SMAs including tensile???compressive asymmetry and torsion pseudoelastic behaviors, International Journal of Engineering Science, vol.48, issue.12, pp.2099-2106 ,
DOI : 10.1016/j.ijengsci.2010.04.002
Processing path optimization to achieve desired texture in polycrystalline materials, Acta Materialia, vol.55, issue.2, pp.647-654 ,
Mechanical Behavior of an Ni-Ti Shape Memory Alloy Under Axial-Torsional Proportional and Nonproportional Loading, Journal of Engineering Materials and Technology, vol.121, issue.1 ,
DOI : 10.1115/1.2816007
Anisotropic behavior of superelastic NiTi shape memory alloys; an experimental investigation and constitutive modeling, Mechanics of Materials, vol.77, pp.110-124 ,
DOI : 10.1016/j.mechmat.2014.07.006
Effect of Heat Treatments on the Mechanical Properties of Ti-3Al-2.5V Alloy, Journal of Materials Engineering and Performance, vol.81, issue.1, pp.3277-3290, 2015. ,
DOI : 10.1007/s11665-015-1628-5
Superelastic and cyclic response of NiTi SMA at various strain rates and temperatures, Mechanics of Materials, vol.38, issue.5-6, pp.463-474 ,
DOI : 10.1016/j.mechmat.2005.07.004
Determination of the Origin for the Dissymmetry Observed between Tensile and Compression Tests on Shape Memory Alloys, Le Journal de Physique IV, vol.05, issue.C2, pp.495-500, 1995. ,
DOI : 10.1051/jp4:1995276
URL : https://hal.archives-ouvertes.fr/jpa-00253662
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 multi-axial, multimechanism based constitutive model for the comprehensive representation of the evolutionary response of SMAs under general thermomechanical loading conditions, International Journal of Plasticity, vol.27, issue.5, pp.655-687 ,
DOI : 10.1016/j.ijplas.2010.08.012
Superelastic behavior modeling in shape memory alloys, ANISOTROPIC TRANSFORMATION 3.6 References S, pp.205-208, 2003. ,
DOI : 10.1051/jp4:2003866
Phase diagram based description of the hysteresis behavior of shape memory alloys, Acta Materialia, vol.46, issue.10, pp.3649-3665, 1998. ,
DOI : 10.1016/S1359-6454(97)00490-4
Symmetry, texture and the recoverable strain of shape-memory polycrystals, Acta Materialia, vol.44, issue.2, pp.529-542, 1996. ,
DOI : 10.1016/1359-6454(95)00198-0
Effect of thermomechanical processing on the creep behaviour of Udimet alloy 188, Philosophical Magazine, vol.11, issue.5, pp.641-664, 2008. ,
DOI : 10.1016/j.ijplas.2006.03.008
A phenomenological model for pseudoelasticity of shape memory alloys under multiaxial proportional and nonproportional loadings, European Journal of Mechanics - A/Solids, vol.23, issue.1, pp.37-61 ,
DOI : 10.1016/j.euromechsol.2003.09.005
The bain strain, lattice correspondences, and deformations related to martensitic transformations, Metallurgical Transactions, vol.18, issue.5, pp.1113-1121, 1972. ,
DOI : 10.1007/BF02642442
A thermodynamical constitutive model for shape memory materials ,
The monolithic shape memory alloy, International Journal of Plasticity, vol.12, issue.696, pp.805-842, 1996. ,
Convex Optimization, p.66, 2004. ,
Pressure dependent yield criteria for polymers, Materials Science and Engineering, vol.13, issue.2, pp.113-120, 1974. ,
DOI : 10.1016/0025-5416(74)90179-7
Relation between the martensite volume fraction and the equivalent transformation strain in shape memory alloys, Materials Science and Engineering: A, vol.438, issue.440, pp.438-440441 ,
DOI : 10.1016/j.msea.2005.12.072
URL : https://hal.archives-ouvertes.fr/hal-00020337
Phase Transformation of Anisotropic Shape Memory Alloys: Theory and Validation in Superelasticity, Shape Memory and Superelasticity, vol.8, issue.3, pp.359-374, 2015. ,
DOI : 10.1007/s40830-015-0027-y
URL : https://hal.archives-ouvertes.fr/hal-01196348
Numerical tool for SMA material simulation: application to composite structure design, Smart Materials and Structures, pp.1040120964-1726, 2009. ,
DOI : 10.1088/0964-1726/18/10/104012
Constitutive model for shape memory alloys including phase transformation, martensitic reorientation and twins accommodation, Mechanics of Materials, vol.43, issue.7, pp.361-376 ,
DOI : 10.1016/j.mechmat.2011.04.003
A 3-D phenomenological constitutive model for shape memory alloys under multiaxial loadings, International Journal of Plasticity, vol.26, issue.124, pp.976-991 ,
Theoretical and numerical modeling of shape memory alloys accounting for multiple phase transformations and martensite reorientation, International Journal of Plasticity, vol.59, pp.30-54 ,
DOI : 10.1016/j.ijplas.2014.03.008
Modeling of coupled phase transformation and reorientation in shape memory alloys under non-proportional thermomechanical loading, International Journal of Plasticity, vol.82 ,
DOI : 10.1016/j.ijplas.2016.03.005
URL : https://hal.archives-ouvertes.fr/hal-01360902
Periodic homogenization for fully coupled thermomechanical modeling of dissipative generalized standard materials, International Journal of Plasticity, vol.81, pp.18-39, 2016. ,
DOI : 10.1016/j.ijplas.2016.01.013
Analysis of the deformation paths and thermomechanical parameter identification of a shape memory alloy using digital image correlation over heterogeneous tests, International Journal of Mechanical Sciences, vol.96, issue.97, pp.96-9713 ,
DOI : 10.1016/j.ijmecsci.2015.03.007
URL : https://hal.archives-ouvertes.fr/hal-01196302
Identification of Model Parameters for the Simulation of SMA Structures Using Full Field Measurements, The International Conference on Shape Memory and Superelastic Technologies (SMST). Asm ,
Quasi-static characterisation of trained pseudoelastic shape memory alloy wire subjected to cyclic loading: transformation kinetics, Journal of Intelligent Material Systems and Structures, vol.2, issue.1, pp.1150-1164, 2015. ,
DOI : 10.1016/0921-5093(95)09801-1
Experimental analyses of dynamical systems involving shape memory alloys. Smart Structures and Systems, pp.1521-1542 ,
A special newton-type optimization method. Optimization, pp.3-4269, 1992. ,
Path dependence and multiaxial behavior of a polycrystalline NiTi alloy within the pseudoelastic and pseudoplastic temperature regimes, International Journal of Plasticity, vol.25, issue.3, pp.513-545, 2009. ,
DOI : 10.1016/j.ijplas.2008.03.002
Constitutive modeling and structural analysis considering simultaneous phase transformation and plastic yield in shape memory alloys, Smart Materials and Structures, vol.18, issue.10, pp.964-1726, 104017. ,
DOI : 10.1088/0964-1726/18/10/104017
A coupled thermomechanical model for shape memory alloys???From single crystal to polycrystal, Materials Science and Engineering: A, vol.481, issue.482, pp.481-482389 ,
DOI : 10.1016/j.msea.2007.08.028
Implementation of numerical integration schemes for the simulation of magnetic SMA constitutive response, Smart Materials and Structures, vol.21, issue.9, p.94007 ,
DOI : 10.1088/0964-1726/21/9/094007
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 ,
DOI : 10.1016/j.ijplas.2011.10.009
Shape Memory Alloys -Modeling and Engineering Applications, p.129, 2008. ,
Couplages thermomécaniques dans les alliages à mémoire de forme : mesure de champs cinématique et thermique et modélisation multiéchelle, 0129. ,
Parameter identification of a thermodynamic model for superelastic shape memory alloys using analytical calculation of the sensitivity matrix, European Journal of Mechanics - A/Solids, vol.45, pp.226-237 ,
DOI : 10.1016/j.euromechsol.2013.12.010
URL : https://hal.archives-ouvertes.fr/hal-01196127
A three-dimensional phenomenological model for martensite reorientation in shape memory alloys, Journal of the Mechanics and Physics of Solids, vol.55, issue.11, pp.2491-2511 ,
DOI : 10.1016/j.jmps.2007.03.010
Transformation strain based method for characterization of convective heat transfer from shape memory alloy wires, Smart Materials and Structures, vol.19, issue.3, pp.350050964-1726035005 ,
DOI : 10.1088/0964-1726/19/3/035005
Identification and Interpretation of Material Parameters of a Shape Memory Alloy (SMA) Model, Materials Science Forum, vol.738, issue.739, pp.738-739276 ,
DOI : 10.4028/www.scientific.net/MSF.738-739.276
URL : https://hal.archives-ouvertes.fr/hal-01501434
Experimental study on the thermoelastic martensitic transformation in shape memory alloy polycrystal induced by combined external forces, Metallurgical and Materials Transactions A, vol.26, issue.124, pp.2923-2935 ,
Roundrobin SMA modeling, ESOMAT 2009, 8th European Symposium on Martensitic Transformations, pp.8001-123, 2009. ,
DOI : 10.1051/esomat/200908001
Shape Memory Alloy Engineering, 2015. ,
A 3-D phenomenological constitutive model for shape memory alloys under multiaxial loadings, International Journal of Plasticity, vol.26, issue.7, pp.976-991 ,
DOI : 10.1016/j.ijplas.2009.12.003
Theoretical and numerical modeling of shape memory alloys accounting for multiple phase transformations and martensite reorientation, International Journal of Plasticity, vol.59, pp.30-54 ,
DOI : 10.1016/j.ijplas.2014.03.008
Phase diagram based description of the hysteresis behavior of shape memory alloys, Acta Materialia, vol.46, issue.10, pp.3649-3665, 1998. ,
DOI : 10.1016/S1359-6454(97)00490-4
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 phenomenological model for pseudoelasticity of shape memory alloys under multiaxial proportional and nonproportional loadings, European Journal of Mechanics - A/Solids, vol.23, issue.1, pp.37-61, 2004. ,
DOI : 10.1016/j.euromechsol.2003.09.005
Thermomechanical Response of Shape Memory Composites, Journal of Intelligent Material Systems and Structures, vol.24, issue.123, pp.333-346, 1994. ,
DOI : 10.1177/1045389X9400500306
A thermodynamical constitutive model for shape memory materials ,
The monolithic shape memory alloy, International Journal of Plasticity, vol.12, issue.696 11, pp.805-842, 1996. ,
Simplifications and Comparisons of Shape Memory Alloy Constitutive Models, Journal of Intelligent Material Systems and Structures, vol.51, issue.4, pp.108-114, 1996. ,
DOI : 10.1177/1045389X9600700112
Micro and Macromechanical Investigations of CuAlNi Single Crystal and CuAlMnZn Polycrystalline Shape Memory Alloys, Journal of Intelligent Materials Systems and Structures, vol.13, issue.12, pp.761-772, 2002. ,
DOI : 10.1177/1045389X02013012002
One-Dimensional Constitutive Behavior of Shape Memory Alloys: Thermomechanical Derivation with Non-Constant Material Functions and Redefined Martensite Internal Variable, Journal of Intelligent Material Systems and Structures, vol.4, issue.2, pp.229-242, 1993. ,
DOI : 10.1177/1045389X9300400213
Analysis of the deformation paths and thermomechanical parameter identification of a shape memory alloy using digital image correlation over heterogeneous tests, International Journal of Mechanical Sciences, vol.96, issue.97, pp.96-9713 ,
DOI : 10.1016/j.ijmecsci.2015.03.007
URL : https://hal.archives-ouvertes.fr/hal-01196302
Thermodynamics with internal variables, J. Chem. Phys, vol.47, issue.2 11, pp.85-98, 1967. ,
Dialogue essais-simulation et identification de lois de comportement d'alliage à mémoire de forme en chargement multiaxial, 2013. ,
Cyclic deformation mechanisms in precipitated NiTi shape memory alloys, Acta Materialia, vol.50, issue.18 ,
DOI : 10.1016/S1359-6454(02)00315-4
Tension/torsion tests of pseudoelastic, polycrystalline NiTi shape memory alloys under temperature control, Materials Science and Engineering: A, vol.481, issue.482, pp.481-482 ,
DOI : 10.1016/j.msea.2007.03.117
Path dependence and multiaxial behavior of a polycrystalline NiTi alloy within the pseudoelastic and pseudoplastic temperature regimes, International Journal of Plasticity, vol.25, issue.3, pp.513-545 ,
DOI : 10.1016/j.ijplas.2008.03.002
Assessment of tension???compression asymmetry of NiTi using circular bulge testing of thin plates, Scripta Materialia, vol.65, issue.4, pp.347-350 ,
DOI : 10.1016/j.scriptamat.2011.05.003
URL : https://hal.archives-ouvertes.fr/hal-00757982
Shape Memory and Pseudoelastic Properties of Fe-Mn-Si and Ti-Ni Based Alloys, Le Journal de Physique IV, vol.07, issue.C5, pp.7-12, 1997. ,
DOI : 10.1051/jp4:1997574
Constitutive modeling and structural analysis considering simultaneous phase transformation and plastic yield in shape memory alloys, Smart Materials and Structures, vol.18, issue.10, pp.964-1726, 104017. ,
DOI : 10.1088/0964-1726/18/10/104017
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 ,
DOI : 10.1016/j.ijplas.2010.01.002
Effect of training conditions and extended thermal cycling on nitinol two-way shape memory behavior, Smart Materials and Structures, vol.4, issue.4, pp.298-3040964, 1995. ,
DOI : 10.1088/0964-1726/4/4/010
Shape memory behaviour: modelling within continuum thermomechanics, International Journal of Solids and Structures, vol.40, issue.4, pp.827-849, 2003. ,
DOI : 10.1016/S0020-7683(02)00621-2
A Simple Model for Shape Memory Alloys Under Multi-axial Non-Proportional Loading, Smart Materials, pp.51-65, 2001. ,
DOI : 10.1007/978-3-642-56855-8_5
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
Constitutive model for the numerical analysis of phase transformation in polycrystalline shape memory alloys, International Journal of Plasticity, pp.32-33155 ,
Shape Memory Alloys -Modeling and Engineering Applications, p.11, 2008. ,
Shape Memory Alloy Engineering: For Aerospace, Structural and Biomedical Applications, 2014. ,
Experimental and numerical determinations of the initial surface of phase transformation under biaxial loading in some polycrystalline shape-memory alloys, Journal of the Mechanics and Physics of Solids, vol.50, issue.12, pp.2717-2735, 2002. ,
DOI : 10.1016/S0022-5096(02)00007-8
URL : https://hal.archives-ouvertes.fr/hal-00079417
A review of shape memory alloy research, applications and opportunities, Materials & Design (1980-2015), vol.56, pp.1078-1113, 2014. ,
DOI : 10.1016/j.matdes.2013.11.084
The influence of temperature on the evolution of functional properties during pseudoelastic cycling of ultra fine grained NiTi, Materials Science and Engineering: A, vol.481, issue.482, pp.481-482142 ,
DOI : 10.1016/j.msea.2007.01.182
Shape Memory Materials, 1999. ,
A three-dimensional phenomenological model for martensite reorientation in shape memory alloys, Journal of the Mechanics and Physics of Solids, vol.55, issue.11, pp.2491-2511 ,
DOI : 10.1016/j.jmps.2007.03.010
Determination of the Origin for the Dissymmetry Observed between Tensile and Compression Tests on Shape Memory Alloys, Le Journal de Physique IV, vol.05, issue.C2, pp.495-500, 1995. ,
DOI : 10.1051/jp4:1995276
URL : https://hal.archives-ouvertes.fr/jpa-00253662
Shape memory alloys, Part I: General properties and modeling of single crystals, Mechanics of Materials, vol.38, issue.5-6, pp.5-6 ,
DOI : 10.1016/j.mechmat.2005.05.027
A 3-D constitutive model for shape memory alloys incorporating pseudoelasticity and detwinning of self-accommodated martensite, International Journal of Plasticity, vol.23, issue.10-11, pp.1679-1720 ,
DOI : 10.1016/j.ijplas.2007.03.011
On thermomechanics and transformation surfaces of polycrystalline NiTi shape memory alloy material, International Journal of Plasticity, vol.16, issue.10-11, pp.10-111309, 2000. ,
DOI : 10.1016/S0749-6419(00)00012-7
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 ,
DOI : 10.1016/j.mechmat.2008.07.004
URL : https://hal.archives-ouvertes.fr/hal-00449131
A general hereditary multimechanism-based deformation model with application to the viscoelastoplastic response of titanium alloys, International Journal of Plasticity, vol.17, issue.10, pp.1305-1350, 2001. ,
DOI : 10.1016/S0749-6419(00)00086-3
A multi-axial, multimechanism based constitutive model for the comprehensive representation of the evolutionary response of SMAs under general thermomechanical loading conditions, International Journal of Plasticity, vol.27, issue.5, pp.655-687 ,
DOI : 10.1016/j.ijplas.2010.08.012
Thermomechanical model for NiTi-based shape memory alloys including R-phase and material anisotropy under multi-axial loadings, International Journal of Plasticity, vol.39, issue.null, pp.132-151 ,
DOI : 10.1016/j.ijplas.2012.06.008
Initiation and propagation of localized deformation in elasto-plastic strips under uniaxial tension, International Journal of Plasticity, vol.13, issue.10, pp.837-871, 1997. ,
DOI : 10.1016/S0749-6419(97)00062-4
Experimental study on the thermoelastic martensitic transformation in shape memory alloy polycrystal induced by combined external forces, Metallurgical and Materials Transactions A, vol.32, issue.11, pp.2923-2935, 1995. ,
DOI : 10.1007/BF02669649
Anisotropy of martensitic transformations in modeling of shape memory alloy polycrystals, International Journal of Plasticity, vol.16, issue.10-11, pp.10-111243, 2000. ,
DOI : 10.1016/S0749-6419(00)00009-7
Three-dimensional model for solids undergoing stressinduced phase transitions, European Journal of Mechanics -A/Solids1, pp.789-806, 1998. ,
The two way memory effect in copper-based shape memory alloys ??? thermodynamics and mechanisms, Acta Metallurgica et Materialia, vol.40, issue.11, pp.2921-29310956, 1992. ,
DOI : 10.1016/0956-7151(92)90456-O
Thermomechanical cycling, two way memory and concomitant effects in Cu???Zn???Al alloys, Acta Metallurgica et Materialia, vol.40, issue.3, pp.501-5110956, 1992. ,
DOI : 10.1016/0956-7151(92)90399-Y
Equivalent transformation strain and its relation with martensite volume fraction for isotropic and anisotropic shape memory alloys, Mechanics of Materials, vol.40, issue.4-5, pp.151-170, 2008. ,
DOI : 10.1016/j.mechmat.2007.07.005
URL : https://hal.archives-ouvertes.fr/hal-00449152
A macro-constitutive model of polycrystalline NiTi SMAs including tensile???compressive asymmetry and torsion pseudoelastic behaviors, International Journal of Engineering Science, vol.48, issue.12, pp.2099-2106 ,
DOI : 10.1016/j.ijengsci.2010.04.002
Constitutive modeling and structural analysis considering simultaneous phase transformation and plastic yield in shape memory alloys, Smart Materials and Structures, vol.18, issue.10, pp.964-1726, 2019. ,
DOI : 10.1088/0964-1726/18/10/104017
Anisotropic behavior of superelastic NiTi shape memory alloys; an experimental investigation and constitutive modeling, Mechanics of Materials, vol.77, pp.110-124 ,
DOI : 10.1016/j.mechmat.2014.07.006
Superelastic and cyclic response of NiTi SMA at various strain rates and temperatures, Mechanics of Materials, vol.38, issue.5-6, pp.463-474 ,
DOI : 10.1016/j.mechmat.2005.07.004
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
Micromechanical Modelling of Superelasticity in Shape Memory Alloys, Le Journal de Physique IV, vol.06, issue.C1, pp.1-277, 1996. ,
DOI : 10.1051/jp4:1996127
URL : https://hal.archives-ouvertes.fr/jpa-00254159
A systematic analysis of transformation stress anisotropy in shape memory alloys, Philosophical Magazine A, vol.197, issue.5, pp.1193-1207, 1997. ,
DOI : 10.1007/BF02644584
Theoretical and numerical modeling of shape memory alloys accounting for multiple phase transformations and martensite reorientation, International Journal of Plasticity, vol.59, pp.30-54 ,
DOI : 10.1016/j.ijplas.2014.03.008
Stress-induced transformation behavior of a polycrystalline NiTi shape memory alloy: micro and macromechanical investigations via in situ optical microscopy, Journal of the Mechanics and Physics of Solids, vol.52, issue.7, pp.1549-1571 ,
DOI : 10.1016/j.jmps.2004.01.001
Constitutive model for shape memory alloys including phase transformation, martensitic reorientation and twins accommodation, Mechanics of Materials, vol.43, issue.7, pp.361-376 ,
DOI : 10.1016/j.mechmat.2011.04.003
Thermomechanical Characterization of Shape Memory Alloy Materials, Shape Memory Alloys, pp.53-119, 2008. ,
DOI : 10.1007/978-0-387-47685-8_2
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 ,
DOI : 10.1016/j.ijplas.2010.01.002
Thermomechanical coupling in shape memory alloys under cyclic loadings: Experimental analysis and constitutive modeling, International Journal of Plasticity, vol.27, issue.12, pp.1959-1980 ,
DOI : 10.1016/j.ijplas.2011.05.005
Thermomechanical couplings and pseudoelasticity of shape memory alloys, International Journal of Engineering Science, vol.36, issue.497, pp.489-509, 1998. ,
A 3-D phenomenological constitutive model for shape memory alloys under multiaxial loadings, International Journal of Plasticity, vol.26, issue.7, pp.976-991 ,
DOI : 10.1016/j.ijplas.2009.12.003
Theoretical and numerical modeling of shape memory alloys accounting for multiple phase transformations and martensite reorientation, International Journal of Plasticity, vol.59, pp.30-54 ,
DOI : 10.1016/j.ijplas.2014.03.008
Modeling of coupled phase transformation and reorientation in shape memory alloys under non-proportional thermomechanical loading, International Journal of Plasticity, vol.82 ,
DOI : 10.1016/j.ijplas.2016.03.005
URL : https://hal.archives-ouvertes.fr/hal-01360902
Analysis of the deformation paths and thermomechanical parameter identification of a shape memory alloy using digital image correlation over heterogeneous tests, International Journal of Mechanical Sciences, vol.96, issue.97, pp.96-9713 ,
DOI : 10.1016/j.ijmecsci.2015.03.007
URL : https://hal.archives-ouvertes.fr/hal-01196302
A special newton-type optimization method. Optimization, pp.3-4269, 1992. ,
Path dependence and multiaxial behavior of a polycrystalline NiTi alloy within the pseudoelastic and pseudoplastic temperature regimes Constitutive modeling and structural analysis considering simultaneous phase transformation and plastic yield in shape memory alloys, International Journal of Plasticity Smart Materials and Structures, vol.251810, issue.1810, pp.513-5451040170964, 2009. ,
A coupled thermomechanical model for shape memory alloys???From single crystal to polycrystal, Materials Science and Engineering: A, vol.481, issue.482, pp.481-482389 ,
DOI : 10.1016/j.msea.2007.08.028
Implementation of numerical integration schemes for the simulation of magnetic SMA constitutive response, Smart Materials and Structures, vol.21, issue.9, pp.940070964-1726094007 ,
DOI : 10.1088/0964-1726/21/9/094007
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 ,
DOI : 10.1016/j.ijplas.2011.10.009
Couplages thermomécaniques dans les alliages à mémoire de forme : mesure de champs cinématique et thermique et modélisation multiéchelle, 1957. ,
Parameter identification of a thermodynamic model for superelastic shape memory alloys using analytical calculation of the sensitivity matrix, European Journal of Mechanics - A/Solids, vol.45, pp.226-237 ,
DOI : 10.1016/j.euromechsol.2013.12.010
URL : https://hal.archives-ouvertes.fr/hal-01196127
A three-dimensional phenomenological model for martensite reorientation in shape memory alloys, Journal of the Mechanics and Physics of Solids, vol.55, issue.11, pp.2491-2511 ,
DOI : 10.1016/j.jmps.2007.03.010
Experimental study on the thermoelastic martensitic transformation in shape memory alloy polycrystal induced by combined external forces, Metallurgical and Materials Transactions A, vol.32, issue.11, pp.2923-2935, 1995. ,
DOI : 10.1007/BF02669649