This article is cited in 5 papers

Model of elastoplastic deformation of materials, based on the gauge theory of defects with allowance for energy dissipation

S. P. Kiselev

Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090

Abstract: Mathematical models of plasticity and creep for the case of small deformations are proposed on the basis of the gauge theory of defects with allowance for energy dissipation. It is assumed that plasticity is related to the motion of dislocations, which occurs without changes in volume. In the creep model, the motion of dislocations can proceed with changes in volume, and the “extra” volume is entrained (brought) by point defects. With the help of Godunov's generalized thermodynamic approach, it is shown that the proposed plasticity model is hyperbolic according to Friedrichs.

Keywords: gauge theory, elasticity, plasticity, creep, hyperbolicity.

UDC: 539.3

Received: 29.09.2003

 English version: Journal of Applied Mechanics and Technical Physics, 2004, 45:2, 292–300

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