Crystal plasticity: The Hamilton-Eshelby stress in terms of the metric in the intermediate configuration

Crystal plasticity: The Hamilton-Eshelby stress in terms of the metric in the intermediate configuration

The Hamilton-Eshelby stress is a basic ingredient in the description of the evolution of point, lines and bulk defects in solids. The link between the Hamilton-Eshelby stress and the derivative of the free energy with respect to the material metric in the plasticized intermediate configuration, i...

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Main Author: Mariano Maria Paolo
Format: Article
Language:English
Published: Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade 2012-01-01
Series:Theoretical and Applied Mechanics
Subjects:
Plasticity
finite deformations
classical field theories
Online Access:http://www.doiserbia.nb.rs/img/doi/1450-5584/2012/1450-55841201055M.pdf
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spelling doaj-4f852a1ae5e14f7d96cb35570befae982020-11-25T00:40:58ZengSerbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, BelgradeTheoretical and Applied Mechanics1450-55842012-01-01391556910.2298/TAM1201055MCrystal plasticity: The Hamilton-Eshelby stress in terms of the metric in the intermediate configurationMariano Maria PaoloThe Hamilton-Eshelby stress is a basic ingredient in the description of the evolution of point, lines and bulk defects in solids. The link between the Hamilton-Eshelby stress and the derivative of the free energy with respect to the material metric in the plasticized intermediate configuration, in large strain regime, is shown here. The result is a modified version of Rosenfeld-Belinfante theorem in classical field theories. The origin of the appearance of the Hamilton-Eshelby stress (the non-inertial part of the energy-momentum tensor) in dissipative setting is also discussed by means of the concept of relative power.http://www.doiserbia.nb.rs/img/doi/1450-5584/2012/1450-55841201055M.pdfPlasticityfinite deformationsclassical field theories
collection DOAJ
language English
format Article
sources DOAJ
author Mariano Maria Paolo
spellingShingle Mariano Maria Paolo
Crystal plasticity: The Hamilton-Eshelby stress in terms of the metric in the intermediate configuration
Theoretical and Applied Mechanics
Plasticity
finite deformations
classical field theories
author_facet Mariano Maria Paolo
author_sort Mariano Maria Paolo
title Crystal plasticity: The Hamilton-Eshelby stress in terms of the metric in the intermediate configuration
title_short Crystal plasticity: The Hamilton-Eshelby stress in terms of the metric in the intermediate configuration
title_full Crystal plasticity: The Hamilton-Eshelby stress in terms of the metric in the intermediate configuration
title_fullStr Crystal plasticity: The Hamilton-Eshelby stress in terms of the metric in the intermediate configuration
title_full_unstemmed Crystal plasticity: The Hamilton-Eshelby stress in terms of the metric in the intermediate configuration
title_sort crystal plasticity: the hamilton-eshelby stress in terms of the metric in the intermediate configuration
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 2012-01-01
description The Hamilton-Eshelby stress is a basic ingredient in the description of the evolution of point, lines and bulk defects in solids. The link between the Hamilton-Eshelby stress and the derivative of the free energy with respect to the material metric in the plasticized intermediate configuration, in large strain regime, is shown here. The result is a modified version of Rosenfeld-Belinfante theorem in classical field theories. The origin of the appearance of the Hamilton-Eshelby stress (the non-inertial part of the energy-momentum tensor) in dissipative setting is also discussed by means of the concept of relative power.
topic Plasticity
finite deformations
classical field theories
url http://www.doiserbia.nb.rs/img/doi/1450-5584/2012/1450-55841201055M.pdf
work_keys_str_mv AT marianomariapaolo crystalplasticitythehamiltoneshelbystressintermsofthemetricintheintermediateconfiguration
_version_ 1725287914901864448

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