SMA pseudo-elastic hysteresis with tension–compression asymmetry: explicit simulation based on elastoplasticity models

Abstract

SMA pseudo-elastic hysteresis with tension–compression asymmetry at finite deformation may be simulated by finite elastoplastic J 2-flow models with nonlinear combined hardening, in a direct, explicit sense with no reference to any phase variables. To this goal, a novel method of treating tension–compression asymmetry is proposed, and the hardening moduli are determined directly from any two given pairs of single-variable functions shaping non-symmetric hysteresis loops in uniaxial tension and compression so that the combined hardening model thus established can automatically exactly give rise to any given shapes of non-symmetric hysteresis loops. Numerical examples show good agreement with test data.