Rate dependence of hysteresis in one-dimensional phase transitions
- Bubner, Nikolaus
- Mackin, Gail
- Rogers, Robert C.
2010 Mathematics Subject Classification
- 73K99 35Q72 80A22
- hysteresis, numerical simulation, rate-type viscosity, solid-solid phase transitions, thermal dissipation
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.