Strong Solutions to Equations of Visco-Ther-Mo-Plasticity with a Temperature-Dependent Hysteretic Strain — Stress Law

  • Pavel Krejčí
  • Jürgen Sprekels
Conference paper
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 66)


We propose a thermodynamically consistent model for the uni-axial behaviour of visco-thermo-elasto-plastic materials where the thermoplastic stress component σ p is characterized by a constitutive law of the formσ p (x,t) = P[ε,θ(x,t)](x,t), where ε, θ denote the fields of strain and absolute temperature, respectively, and where {P[., θ]}ε>o is a family of (rate-independent) hysteresis operators of Prandtl-Ishlinskii type, parametrized by the absolute temperature. The system of state equations governing the space-time evolution of the material is derived. A survey of existence, uniqueness and continuous dependence results for an initial-boundary value problem for this system is given.


Internal Energy Kinematic Hardening Thermic Dilation Quasilinear Wave Equation Stop Operator 
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Copyright information

© Springer Science+Business Media Dordrecht 1999

Authors and Affiliations

  • Pavel Krejčí
    • 1
  • Jürgen Sprekels
    • 1
  1. 1.Weierstrass Institute for Applied Analysis and StochasticsBerlinGermany

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