Application of the Preisach Model to Tension-Compression Asymmetric Deformation Behavior of Martensitic Shape Memory Alloys

Abstract

The Preisach model is applied to the hysteresis of the energy required for reorientation of martensitic variants of shape memory alloys. To express tension-compression asymmetric behavior, three variants of the martensitic phase are considered—thermal-induced, tensile-stress-induced, and compressive- stress-induced martensitic phases. Residual stresses due to unconformity at interfaces between grains are also considered in the required energy. Stress-strain hysteresis loops for a bar under tension-compression cyclic loading are simulated and they are compared with the available measured data. Results show that this model can effectively capture the asymmetric stress-strain deformation behavior for tension and compression and the difference between the stress-strain relationships in the first and second loops. This indicates that the proposed model can be used for explaining the deformation behavior of shape memory alloys and for the design of structural elements containing shape memory alloys.