Deformation and Loss of Stability Modeling for Elastic-Viscoplastic Mixtures

Abstract—

To describe the behavior of a number of real structures consisting of n components, a generalized model of an elastic-viscoplastic body is used. Within the framework of the proposed model of a multicomponent body in a rigorous linearized three-dimensional formulation, the stability of multicomponent elastic-viscoplastic mixtures is investigated. It is shown that the study of the stability of the subcritical state of the mixture can be reduced to studying the stability of the continuum with complex physical and mechanical parameters. For homogeneous ground states, solutions of static linearized problems are given. An example is considered.

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Correspondence to A. N. Sporykhin.

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Translated by A. A. Borimova

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Sporykhin, A.N. Deformation and Loss of Stability Modeling for Elastic-Viscoplastic Mixtures. Mech. Solids 55, 878–884 (2020). https://doi.org/10.3103/S0025654420060138

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Keywords:

  • mixtures
  • stresses
  • deformations
  • plasticity
  • viscosity
  • stability