WIAS Preprint No. 1047, (2005)
Modelling of microstructure and its evolution in shape-memory-alloy single-crystals, in particular in CuAlNi
- Kružík, Martin
- Mielke, Alexander
- Roubíček, Tomáš
2010 Mathematics Subject Classification
- 35K85 49S05 74C15 74N15
- Young measures, laminates, cubic-to-orthorhombic martensitic transformation, rate-independent evolution, energetic formulation, space-time discretization
A continuum-mechanical description of the stored energy in shape-memory alloys is presented, with its multi-well character giving rise to a microstructure described, with a certain approximation, by special gradient Young measures. A rate-independent phenomenological dissipation is then considered to model a hysteretic response. Isothermal simulations with CuAlNi single crystal are presented.
- Meccanica, 40 (2005) pp. 389--418.