One-dimensional modeling of stress-induced transformation behaviour of shape memory alloy

Abstract

In this paper, the mechanical constitutive relation of Shape Memory Alloys (SMAs) during stress-induced transitions is discussed based on mixture theories. The twinned martensite variants and austenite parents are taken as two constituents with their own reorientation or transformation behavior when subjected to external loading. Corresponding internal variables for describing these transitions are newly defined. This model enables the numerical prediction of the overall mechanical behavior of SMA materials in the temperature range form Ms to Mf. The approach of mixture theory; series models are applied in the formulation of the constitutive behavior of SMAs with isostress conditions. Tensile tests have been carried out with Ti-Ni specimens in a temperature range including martensite transformation temperatures. Numerical simulation based on the proposed model accurately predicted the mechanical behavior of stress-induced transitions in the concerned temperature range.