WIAS Preprint No. 539, (1999)
Rate dependence of hysteresis in one-dimensional phase transitions
Authors
- Bubner, Nikolaus
- Mackin, Gail
- Rogers, Robert C.
2010 Mathematics Subject Classification
- 73K99 35Q72 80A22
Keywords
- hysteresis, numerical simulation, rate-type viscosity, solid-solid phase transitions, thermal dissipation
DOI
Abstract
Two models for solid-solid phase transition in one-dimension are examined. Thermal dissipation and a rate-type viscosity are added to a stress with strain gradient. Numerical examinations of both models reveal similar results, in particular, stress-strain hysteresis, which is a commonly observed phenomena, and stability of single-phase boundary solutions.
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