On Micro-Macro Transition in Non-Linear Mechanics

This paper is devoted to the description of the general relationships between microscopic and macroscopic mechanical quantities in non-linear mechanics. From a thermodynamical viewpoint, it is only necessary to know the two macroscopic potentials (macroscopic free energy and macroscopic potential of...

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Detalles Bibliográficos
Autor principal: Stolz, Claude
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Molecular Diversity Preservation International 2010
Materias:
Review
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5510700/
http://dx.doi.org/10.3390/ma3010296
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author Stolz, Claude
author_facet Stolz, Claude
author_sort Stolz, Claude
collection PubMed
description This paper is devoted to the description of the general relationships between microscopic and macroscopic mechanical quantities in non-linear mechanics. From a thermodynamical viewpoint, it is only necessary to know the two macroscopic potentials (macroscopic free energy and macroscopic potential of dissipation) to describe the state of the body and its quasistatic evolution. These global potentials are the averages of the local ones. We point out some particular cases of non-linearities, especially the case of damaged materials.
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spelling pubmed-55107002017-07-28 On Micro-Macro Transition in Non-Linear Mechanics Stolz, Claude Materials (Basel) Review This paper is devoted to the description of the general relationships between microscopic and macroscopic mechanical quantities in non-linear mechanics. From a thermodynamical viewpoint, it is only necessary to know the two macroscopic potentials (macroscopic free energy and macroscopic potential of dissipation) to describe the state of the body and its quasistatic evolution. These global potentials are the averages of the local ones. We point out some particular cases of non-linearities, especially the case of damaged materials. Molecular Diversity Preservation International 2010-01-08 /pmc/articles/PMC5510700/ http://dx.doi.org/10.3390/ma3010296 Text en © 2010 by the authors; licensee Molecular Diversity Preservation International, Basel, Switzerland. This article is an open-access article distributed under the terms and conditions of the Creative Commons Attribution license (http://creativecommons.org/licenses/by/3.0/).
spellingShingle Review
Stolz, Claude
On Micro-Macro Transition in Non-Linear Mechanics
title On Micro-Macro Transition in Non-Linear Mechanics
title_full On Micro-Macro Transition in Non-Linear Mechanics
title_fullStr On Micro-Macro Transition in Non-Linear Mechanics
title_full_unstemmed On Micro-Macro Transition in Non-Linear Mechanics
title_short On Micro-Macro Transition in Non-Linear Mechanics
title_sort on micro-macro transition in non-linear mechanics
topic Review
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5510700/
http://dx.doi.org/10.3390/ma3010296
work_keys_str_mv AT stolzclaude onmicromacrotransitioninnonlinearmechanics

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