Constitutive Model of Shape Memory Alloys for Asymmetric Quasiplastic Behavior

A simple constitutive model of shape memory alloys for analyses of tension–compression quasiplastic behavior is derived. Here, three martensitic variants are considered; namely, thermal-induced, tensile stress-induced, and compressive stress-induced martensitic variants. Reorientation from one variant to another variant is assumed to take place according to a reorientation energy criterion based on grain-based micromechanics. Stress–strain hysteresis loops for a bar under tension–compression cyclic loading are simulated and they are compared with available experimental data. Results show that this constitutive model can capture asymmetric stress–strain behavior for tension and compression and a strain rate effect on stress–strain–temperature relationship quite well.