Dynamics of Unloading and Elastic Waves in a Medium with Accumulated Plastic Pre-Deformations

Approaches that allow one to describe the elastic dynamics of a medium (including unloading and elastic loading) in the presence of irreversible pre-deformations are proposed for a model of large elastoplastic deformations. Formulas based on a rotation tensor are obtained for calculating the redistr...

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Veröffentlicht in:Mechanics of solids 2019-07, Vol.54 (4), p.523-532
Hauptverfasser: Dudko, O. V., Ragozina, V. E.
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description Approaches that allow one to describe the elastic dynamics of a medium (including unloading and elastic loading) in the presence of irreversible pre-deformations are proposed for a model of large elastoplastic deformations. Formulas based on a rotation tensor are obtained for calculating the redistribution of plastic strains. For dynamic elastic processes generating shock waves in an elastoplastic medium, the possible rates and types of plane shock waves are determined. It is shown that elastic shock waves create jumps in the field of plastic pre-deformations. Relations for calculating such discontinuities are obtained. The main properties of modeling self-similar solutions taking into account the proposed approach to the description of the kinematics of the medium and the possibility of distinguishing between elastic and plastic strains are considered.
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subjects Classical Mechanics
Elastic deformation
Elastic waves
Elastoplasticity
Kinematics
Loads (forces)
Physics
Physics and Astronomy
Self-similarity
Shock waves
Tensors
title Dynamics of Unloading and Elastic Waves in a Medium with Accumulated Plastic Pre-Deformations
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