74M05 Control, switches and devices (\smart materials") [See also 93Cxx]
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Year of publication
- 2008 (2)
Language
- English (2)
Keywords
- temperature-induced phase transformation (2)
- doubly nonlinear differential inclusion (1)
- energetic (1)
- formulation (1)
- polyconvexity (1)
- rate-independent energetic formulation (1)
- rate-independent processes (1)
- shape-memory alloys (1)
- shape-memory materials (1)
- time-dependent Dirichlet conditions (1)
Project
- C18 (1)
Application Area
- C (1)
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.
This paper analyzes a model for phase
transformation in shape-memory alloys
induced by temperature changes and by
mechanical loading. We assume that the temperature is prescribed and
formulate the problem within the framework
of the energetic theory of
rate-independent processes. Existence and uniqueness results are proved.