WIAS Preprint No. 391, (1998)

Some analytical properties of the multidimensional continuous Mróz model of plasticity


  • Brokate, Martin
    ORCID: 0000-0003-4660-9180
  • Krejčí, Pavel
    ORCID: 0000-0002-7579-6002
  • Rachinskii, Dmitrii

2010 Mathematics Subject Classification

  • 47H30 73E05 47H15


  • Kinematic hardening, Mróz model, constitutive operator, memory, equations with hysteresis




We study the geometrical structure of memory induced by the continuous multidimensional Mróz model of plasticity. The results are used for proving the thermodynamic consistency of the model and composition and inversion formulas for input - memory state - output operators. We also show an example of nonuniqueness of solutions to a simple initial value problem involving the Mróz operator.

Appeared in

  • Control Cybernet., 27 (1998), 199-215

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