Constitutive Model of Shape Memory Alloys for Asymmetric Quasiplastic Behavior

Department of Aerospace Engineering, Nagoya University, Chikusa, Nagoya 464-8603, Japan

^* To whom correspondence should be addressed.

	Abstract

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.

Key Words: shape memory alloys, quasiplasticity, constitutive equations, reorientation, tension-compression asymmetry.

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