A rate-independent model for the isothermal quasi-static evolution of shape-memory materials
- Auricchio, Ferdinando
- Mielke, Alexander
- Stefanelli, Ulisse
2010 Mathematics Subject Classification
- 74C05 49J40
- Shape-memory materials, rate-independent evolution, time and space discretization, Gamma convergence, asymptotics
This note addresses a three-dimensional model for isothermal stress-induced transformation in shape-memory polycrystalline materials. We treat the problem within the framework of the energetic formulation of rate-independent processes and investigate existence and continuous dependence issues at both the constitutive relation and quasi-static evolution level. Moreover, we focus on time and space approximation as well as on regularization and parameter asymptotics.
- Math. Methods Appl. Sci., 18 (2008) pp. 125--164.