Thermally driven phase transformation in shape-memory alloys
- Mielke, Alexander
- Petrov, Adrien
2010 Mathematics Subject Classification
- 49J40 74C05 74F05 74M05 74N30
- Shape-memory materials, doubly nonlinear differential inclusion, rate-independent processes, energetic formulation, temperature-induced phase transformation
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.
- Adv. Math. Sci. Appl., 17 (2007) pp. 667--685.