Thermodynamic constitutive model for cyclic loading of shape memory alloy materials with application to two-way training Conference Paper uri icon


  • 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.

name of conference

  • Smart Structures & Materials '95

published proceedings

  • SPIE Proceedings

author list (cited authors)

  • Bo, Z., & Lagoudas, D. C

citation count

  • 8

complete list of authors

  • Bo, Zhonghe||Lagoudas, Dimitris C

publication date

  • May 1995