Phase diagram based description of the hysteresis behavior of shape memory alloys

摘要

In this paper, we develop a consistent mathematical description of martensite fraction evolution during a thermal thermoelastic phase transformation in a shape memory alloy (SMA) induced by a general thermomechanical loading. The global kinetic law is based on an experimentally defined stress-temperature phase diagram, transformation functions for a one-dimensional SMA body and a novel stress-temperature model. the global kinetic law provides the phase fraction history given a loading path on the stress-tem- perature phase diagram and an initial value of martensite fraction.