A micromechanical model for martensitic phase-transformations in shape-memory alloys based on energy-relaxation

作者：Bartel Thorsten^*; Hackl Klaus

来源：Zeitschrift fur Angewandte Mathematik und Mechanik, 2009, 89(10): 792-809.

DOI：10.1002/zamm.200900244

• Martensitic phase transformations
• shape-memory alloys
• energy relaxation
• quasi-convexification

We develop a micromechanical model for single-crystalline materials undergoing diffusionless solid-to-solid phase transitions. It is based on the specification of laminated microstructures on the materials' microscale and hence is designed to approximate the rank-l-convex hull of the underlying energy-density for the phase-mixture. In order to capture the hysteretic behavior of such materials like shape-memory-alloys we also account for dissipation by means of evolution equations for the inelastic internal variables. In this context, we derive different evolution-laws from inelastic potentials via least-action principles. Several material-point computations emphasize the characteristics of the presented model.

• 出版日期2009-10