Institute of Physics Publishing Smart Materials and Structures a Micromechanics Inspired Constitutive Model for Shape-memory Alloys: the One-dimensional Case

This paper presents a constitutive model for shape-memory alloys that builds on ideas generated from recent micromechanical studies of the underlying microstructure. The presentation here is in one dimension. It is applicable in a wide temperature range that covers both the shape-memory effect and superelasticity, is valid for a wide range of strain rates and incorporates plasticity. The thermodynamic setting of the model is explained and the model is demonstrated through examples.

[1]  Kaushik Bhattacharya,et al.  A micromechanics-inspired constitutive model for shape-memory alloys , 2007 .

[2]  Marcelo A. Savi,et al.  A constitutive model for shape memory alloys considering tensile¿compressive asymmetry and plasticity , 2005 .

[3]  Sia Nemat-Nasser,et al.  Very high strain-rate response of a NiTi shape-memory alloy , 2005 .

[4]  F. Auricchio,et al.  A three‐dimensional model describing stress‐temperature induced solid phase transformations: solution algorithm and boundary value problems , 2004 .

[5]  Kaushik Bhattacharya,et al.  Transformation yield surface of shape memory alloys , 2004 .

[6]  Panayiotis Papadopoulos,et al.  Constitutive modelling and numerical simulation of multivariant phase transformation in superelastic shape‐memory alloys , 2004 .

[7]  Tadashige Ikeda,et al.  A unified constitutive model of phase transformations and rearrangements of shape memory alloy wires subjected to quasistatic load , 2004 .

[8]  P. Papadopoulos,et al.  An experimental study of the superelastic effect in a shape-memory Nitinol alloy under biaxial loading , 2003 .

[9]  Kaushik Bhattacharya,et al.  Mobility of twin and phase boundaries , 2003 .

[10]  Abhijit Bhattacharyya,et al.  A theoretical framework of one-dimensional sharp phase fronts in shape memory alloys , 2002 .

[11]  Christian Lexcellent,et al.  Experimental and numerical determinations of the initial surface of phase transformation under biaxial loading in some polycrystalline shape memory alloys , 2002 .

[12]  E. Patoor,et al.  Determination of the interaction energy in the martensitic state , 2002 .

[13]  Zdeněk P. Bažant,et al.  Three-dimensional constitutive model for shape memory alloys based on microplane model , 2002 .

[14]  K. M. Liew,et al.  A thermodynamic constitutive model for stress induced phase transformation in shape memory alloys , 2002 .

[15]  T Prakash G. Thamburaja,et al.  Polycrystalline shape-memory materials: effect of crystallographic texture , 2001 .

[16]  D. Lagoudas,et al.  Numerical implementation of a shape memory alloy thermomechanical constitutive model using return mapping algorithms , 2000 .

[17]  K. Bhattacharya.  Phase boundary propagation in a heterogeneous body , 1999, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[18]  Miinshiou Huang,et al.  A Multivariant model for single crystal shape memory alloy behavior , 1998 .

[19]  George J. Weng,et al.  Martensitic transformation and stress-strain relations of shape-memory alloys , 1997 .

[20]  Robert V. Kohn,et al.  Elastic Energy Minimization and the Recoverable Strains of Polycrystalline Shape‐Memory Materials , 1997 .

[21]  Ferdinando Auricchio,et al.  Shape-memory alloys: macromodelling and numerical simulations of the superelastic behavior , 1997 .

[22]  Christian Lexcellent,et al.  Characterization, thermomechanical behaviour and micromechanical-based constitutive model of shape-memory CuZnAl single crystals , 1996 .

[23]  F. D. Fischer,et al.  Modelling the mechanical behavior of shape memory alloys under variant coalescence , 1996 .

[24]  Richard D. James,et al.  Kinetics of materials with wiggly energies: Theory and application to the evolution of twinning microstructures in a Cu-Al-Ni shape memory alloy , 1996 .

[25]  Dimitris C. Lagoudas,et al.  On the role of thermoelectric heat transfer in the design of SMA actuators: theoretical modeling and experiment , 1995 .

[26]  J. Ball,et al.  Hysteresis During Stress-Induced Variant Rearrangement , 1995 .

[27]  E. J. Graesser,et al.  A Proposed Three-Dimensional Constitutive Model for Shape Memory Alloys , 1994 .

[28]  Ingo Müller,et al.  Nonequilibrium thermodynamics of pseudoelasticity , 1993 .

[29]  James K. Knowles,et al.  A continuum model of a thermoelastic solid capable of undergoing phase transitions , 1993 .

[30]  J. Ball,et al.  Fine phase mixtures as minimizers of energy , 1987 .

[31]  Walter Noll,et al.  The thermodynamics of elastic materials with heat conduction and viscosity , 1963 .

[32]  Amir Sadjadpour.  Micromechanics-inspired three-dimensional constitutive model for the thermomechanical response of shape-memory alloys , 2006 .

[33]  Sia Nemat-Nasser,et al.  High Strain-Rate, Small Strain Response of a NiTi Shape-Memory Alloy , 2005 .

[34]  Tadashige Ikeda,et al.  A unified constitutive model of phase transformations and rearrangements of shape memory alloy wires subjected to quasistatic load , 2004 .

[35]  Bogdan Crăciun.  Phase Boundary Propagation in Heterogeneous Media , 2002 .

[36]  C. M. Wayman,et al.  Shape-Memory Materials , 2018 .

[37]  D. Lagoudas,et al.  A thermodynamical constitutive model for shape memory materials. Part I. The monolithic shape memory alloy , 1996 .

[38]  Qingping Sun,et al.  Micromechanics modelling for the constitutive behavior of polycrystalline shape memory alloys. I: Derivation of general relations , 1993 .

[39]  Keh Chih Hwang,et al.  Micromechanics modelling for the constitutive behavior of polycrystalline shape memory alloys. II: Study of the individual phenomena , 1993 .