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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| Format: | Article |
| Language: | English |
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MDPI AG
2010-01-01
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| Series: | Materials |
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| Online Access: | http://www.mdpi.com/1996-1944/3/1/296/ |
| _version_ | 1811297715284344832 |
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| author | Claude Stolz |
| author_facet | Claude Stolz |
| author_sort | Claude Stolz |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-13T06:08:14Z |
| format | Article |
| id | doaj.art-d433a08afc2846eb982bdb6a746a93ed |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-04-13T06:08:14Z |
| publishDate | 2010-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-d433a08afc2846eb982bdb6a746a93ed2022-12-22T02:59:09ZengMDPI AGMaterials1996-19442010-01-013129631710.3390/ma3010296On Micro-Macro Transition in Non-Linear MechanicsClaude StolzThis 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.http://www.mdpi.com/1996-1944/3/1/296/homogeneizationdamageelastoplasticityconcentration tensor |
| spellingShingle | Claude Stolz On Micro-Macro Transition in Non-Linear Mechanics Materials homogeneization damage elastoplasticity concentration tensor |
| 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 | homogeneization damage elastoplasticity concentration tensor |
| url | http://www.mdpi.com/1996-1944/3/1/296/ |
| work_keys_str_mv | AT claudestolz onmicromacrotransitioninnonlinearmechanics |