Constitutive modeling of shape memory alloys at finite strain

A new model which is able to reproduce the basic responses of shape memory materials on both micro- and macrostructural aspects is presented. The mode l is based on a local finite strain continuum description and uses a multip licative decomposition of the total deformation gradient which involves ela stic, plastic and microstructurally given phase transitional parts. For the elastic behavior of the material a coupled hyper-hypoelastic model is used based on a recently developed logarithmic rate. A complex constitutive equ ation is presented which consists of the kinetics of phase change process g iven by thermodynamical basis. Finally a simple one dimensional example is also shown.