WIAS Preprint No. 539, (1999)

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.

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