22 May 1995 Thermodynamic constitutive model for cyclic loading of shape memory alloy materials with application to two-way training
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Abstract
The thermomechanical response of shape memory alloy (SMA) materials under cyclic loading is modeled in this paper. A set of evolution laws for plastic strains is first developed, based on Bodner's viscoplasticity model, by replacing real time in Bodner's model with an internal time variable proportional to the martensitic volume fraction. The influence of plastic residual stresses on the martensitic phase transformation is analyzed, and evolution equations for the plastic back stresses and isotropic hardening parameter during phase transformation are developed. The relationship between accumulation of plastic strains and creation of the two way shape memory effect is quantitatively explained by the present model. The changing of the stress-strain hysteresis loop and transformation start and finish stresses and temperatures are also correctly accounted by the present formulation.
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Zhonghe Bo, Dimitris C. Lagoudas, "Thermodynamic constitutive model for cyclic loading of shape memory alloy materials with application to two-way training", Proc. SPIE 2441, Smart Structures and Materials 1995: Smart Materials, (22 May 1995); doi: 10.1117/12.209790; https://doi.org/10.1117/12.209790
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