The Influence of Transformation Kinetics on Stress-Strain Relations of Shape Memory Alloys in Thermomechanical Processes

The constitutive law which relates stress, temperature, transformed volume fraction and the strain is integrated under consideration of a kinetic law. This law was derived and discussed by the authors just recently. It is a differential equation for the volume fraction of the new phase. The volume fraction is a function of the stress and temperature history. Merging of the constitutive law and the kinetic law leads to a new relation among the volume frac tion of the new phase, the total strain, the stress and/or temperature. For some parameter configura tions and in the case of a linear stress-temperature relation, analytical solutions are possible which are presented. The results are also compared with those of a statistical simulation.