Finite element analysis of pseudoelastic behavior of shape memory alloys using a micromechanics based constitutive model

Conference · Sun Dec 31 04:00:00 EST 1995

OSTI ID:175138

Kumar, R K ^[1]; Rengarajan, G; Reddy, J N ^[2]

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1. India Institute of Technology, Madras (India)
2. Texas A&M Univ., College Station, TX (United States)

In this paper, we describe the finite element formulation and implementation of a micromechanics based constitutive model of pseudoelasticity. The constitutive model describes the behavior of SMA`s through a constitutive element (CE) consisting of several grains. A volume average over the CE provides the macroscopic continuum response. The remarkable feature of this model is its strong similarity to the incremental stress strain relations of elastoplasticity and the internal variable approach. The martensitic transformations are described through the evolution of martensite volume fraction over the CE. The model accounts for behavior similar to isotropic and kinematic hardening of elastoplasticity. The finite element formulation involves the linearization of the weak form, computation of the tangent stiffness, and a stress update based on the operator split method. A numerical result is presented to illustrate the accuracy of the finite element formulation with respect to the theoretical model.

• OSTI ID: 175138
• Report Number(s): CONF-950686--
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
99 GENERAL AND MISCELLANEOUS
ALLOYS
FINITE ELEMENT METHOD
HARDENING
MARTENSITE
MECHANICAL PROPERTIES
PHASE TRANSFORMATIONS
SHAPE MEMORY EFFECT