Thermodynamically consistent nonlinear model of elastoplastic Maxwell medium

Thermodynamically consistent nonlinear model of elastoplastic Maxwell medium

The paper is devoted to new applications of the ideas underlying Godunov’s method that was developed as early as in the 1950s for solving fluid dynamics problems. This paper deals with elastoplastic problems. Based on an elastic model and its modification obtained by introducing the Maxwell viscosit...

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Veröffentlicht in:Computational mathematics and mathematical physics 2010-08, Vol.50 (8), p.1409-1426
Hauptverfasser: Godunov, S. K., Peshkov, I. M.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Computation
Computational fluid dynamics
Computational mathematics
Computational Mathematics and Numerical Analysis
Elastic deformation
Elastoplasticity
Finite volume method
Godunov method
Mathematical models
Mathematics
Mathematics and Statistics
Nonlinearity
Ordinary differential equations
Plastic deformation
Studies
Thermodynamics
Viscosity
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Beschreibung
Zusammenfassung:The paper is devoted to new applications of the ideas underlying Godunov’s method that was developed as early as in the 1950s for solving fluid dynamics problems. This paper deals with elastoplastic problems. Based on an elastic model and its modification obtained by introducing the Maxwell viscosity, a method for modeling plastic deformations is proposed.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542510080117