WIAS Preprint No. 1184, (2006)
A model for temperature-induced phase transformations in finite-strain elasticity
- Mielke, Alexander
2010 Mathematics Subject Classification
- 49J40 49S05 74F05 74M05 74N30
- shape-memory alloys, rate-independent energetic formulation, temperature-induced phase transformation, polyconvexity, time-dependent Dirichlet conditions
We propose a model for phase transformations that are driven by changes in the temperature. We consider the temperature as a prescribed prescribed quantity like an applied load. The model is based on the energetic formulation for rate-independent systems and thus allows for finite-strain elasticity. Time-dependent Dirichlet boundary conditions can be treated by decomposing the deformation as a composition of a given deformation satisfying the time-dependent boundary conditions and a part coinciding with the identity on the Dirichlet boundary.
- IMA J. Appl. Math., 72 (2007) pp. 644--658.