Mesoscopic model of microstructure evolution in shape memory alloys, its numerical analysis and computer implementation

Abstract

This contribution presents a mesoscopic model of evolution of microstructure in alloys exhibiting shape-memory effects. Main features are a multi-well stored energy at large strains and rate-independent dissipation potential acting on volume fractions involved in the mesoscopic description of microstructure by Young measures.

The focus is on analysis of an approximation scheme as well as on numerical simulations of single-crystal experiments with specific alloys.

Keywords

• Mesoscopic
• model
• microstructure
• evolution
• shape
• memory
• alloys
• numerical
• analysis
• computer
• implementation