Small elastic strains in finite elasto-plastic materials with continuously distributed dislocations

In this paper we propose a macroscopic model for elastoplastic materials with continuously distributed dislocations, when we restrict to small elastic strains, but the elastic rotations and plastic distorsions remain large. The material is not homogeneous and it behaves like an elastic material elem...

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Main Author: Cleja-Tigoiu S.
Format: Article
Language:English
Published: Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade 2002-01-01
Series:Theoretical and Applied Mechanics
Online Access:http://www.doiserbia.nb.rs/img/doi/1450-5584/2002/1450-55840229093C.pdf
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spelling doaj-130a4be4493a47e9b59fb386695911512020-11-24T21:51:06ZengSerbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, BelgradeTheoretical and Applied Mechanics1450-55842002-01-01200228-299311210.2298/TAM0229093CSmall elastic strains in finite elasto-plastic materials with continuously distributed dislocationsCleja-Tigoiu S.In this paper we propose a macroscopic model for elastoplastic materials with continuously distributed dislocations, when we restrict to small elastic strains, but the elastic rotations and plastic distorsions remain large. The material is not homogeneous and it behaves like an elastic material element with respect to non-holonomic configuration. The elastic curvature tensor vanishes. Consequently to complete the definition of the mathematical model it is sufficient to prescribe the evolution equation for the plastic distorsion (i.e. for time-dependent non-holonomic configuration), as well as the for the internal variables. . http://www.doiserbia.nb.rs/img/doi/1450-5584/2002/1450-55840229093C.pdf
collection DOAJ
language English
format Article
sources DOAJ
author Cleja-Tigoiu S.
spellingShingle Cleja-Tigoiu S.
Small elastic strains in finite elasto-plastic materials with continuously distributed dislocations
Theoretical and Applied Mechanics
author_facet Cleja-Tigoiu S.
author_sort Cleja-Tigoiu S.
title Small elastic strains in finite elasto-plastic materials with continuously distributed dislocations
title_short Small elastic strains in finite elasto-plastic materials with continuously distributed dislocations
title_full Small elastic strains in finite elasto-plastic materials with continuously distributed dislocations
title_fullStr Small elastic strains in finite elasto-plastic materials with continuously distributed dislocations
title_full_unstemmed Small elastic strains in finite elasto-plastic materials with continuously distributed dislocations
title_sort small elastic strains in finite elasto-plastic materials with continuously distributed dislocations
publisher Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade
series Theoretical and Applied Mechanics
issn 1450-5584
publishDate 2002-01-01
description In this paper we propose a macroscopic model for elastoplastic materials with continuously distributed dislocations, when we restrict to small elastic strains, but the elastic rotations and plastic distorsions remain large. The material is not homogeneous and it behaves like an elastic material element with respect to non-holonomic configuration. The elastic curvature tensor vanishes. Consequently to complete the definition of the mathematical model it is sufficient to prescribe the evolution equation for the plastic distorsion (i.e. for time-dependent non-holonomic configuration), as well as the for the internal variables. .
url http://www.doiserbia.nb.rs/img/doi/1450-5584/2002/1450-55840229093C.pdf
work_keys_str_mv AT clejatigoius smallelasticstrainsinfiniteelastoplasticmaterialswithcontinuouslydistributeddislocations
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