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A thermomechanical Hencky strain constitutive model for shape memory alloys

Abstract : This paper presents a new thermomechanically coupled constitutive model for polycrys- talline shape memory alloys (SMAs) undergoing finite deformation. Three important characteristics of SMA behavior are considered in the development of the model, namely the effect of coexistence between austenite and two martensite variants, the variation of hysteresis size with temperature, and the smooth material response at initiation and completion of phase transformation. The formulation of the model is based on a multiplicative decomposition of the deformation kinematics into thermal, elastic and trans- formation parts. A Helmholtz free energy function consisting of elastic, thermal, interaction and con- straint components is introduced. Constitutive and heat equations are derived from this energy in com- pliance with thermodynamic principles. The proposed model is then implemented in Abaqus/Explicit by means of a user-defined material subroutine (VUMAT). The results of numerical simulations are val- idated against experimental data obtained under a variety of thermomechanical loading conditions. The robustness and efficiency of the proposed framework are illustrated by simulating a SMA helical spring actuator.
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Submitted on : Tuesday, October 30, 2018 - 4:23:33 PM
Last modification on : Monday, February 10, 2020 - 6:14:09 PM

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Wang Jun, Ziad Moumni, Weihong Zhang, Wael Zaki. A thermomechanical Hencky strain constitutive model for shape memory alloys. 13e colloque national en calcul des structures, Université Paris-Saclay, May 2017, Giens, Var, France. ⟨hal-01908932⟩

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