A variant of the theory of plasticity of two-phase composite media
type: Item
instance of: scholarly article
title: A variant of the theory of plasticity of two-phase composite media
zbMATH Open document ID: 0884.73036
DOI: 10.1007/BF01274239
author: L. P. Isupov
published in: Acta Mechanica
publication date: 1997-07-17T00:00:00Z
review text: The author develops a mathematical theory to describe the mechanical behavior of an elasto-plastic composite on the basis of phase properties and microstructural geometry. He obtains the overall yield condition and hardening rule for two-phase composites with different phase properties. The case of a plastic state of both components is investigated in detail, and it is shown that the loading surface in the space of macrostresses has singular points. The plastic microstrains cannot be eliminated from the system of equations and hence must be considered as additional hardening parameters. The hardening of composites with ideally plastic constituents is limited. The limiting surface exists in the space of macrostresses which defines the condition of perfect plasticity.
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 1036592
zbMATH Keywords: elasto-plastic composite
zbMATH Keywords: microstructural geometry
zbMATH Keywords: yield condition
zbMATH Keywords: hardening rule
zbMATH Keywords: loading surface
zbMATH Keywords: singular points
zbMATH Keywords: plastic microstrains
zbMATH Keywords: limiting surface
reviewed by: Hilmi Demiray
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01274239
OpenAlex ID: W2036251799
description: scientific article; zbMATH DE number 1036592