Tranasformation thermomechanics of alloy materials in the process of martensitic transformation: a unified theory

A unified theory on the transformation and thermomechanical behavior of alloy materials is proposed in the processes of plastic deformation and martensitic transformation. A transformation condition is introduced to describe the start and progress of the transformation, together with the yield condition for plasticity. The constitutive equations, thermomechanical and calorimetric, are derived following the conventional continuum mechanics whereas the evolutional equations for the internal variables are obtained by solving a conditional extremum problem. The heat conduction equation is presented. The transformation kinetics is discussed to reach Magee's kinetics. (orig.)