| Structures hétérogènes |  |
| Structures hétérogènes | |
| HAL : hal-00697585, version 1 |
| DOI : 10.1016/j.mechrescom.2011.12.002 |
| Fiche détaillée |  Récupérer au format |
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| Mechanics Research Communications 40 (2012) 16-25 |
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| Stress gradient continuum theory |
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| Samuel Forest 1Karam Sab 2 |
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| (2012) |
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| A stress gradient continuum theory is presented that fundamentally differs from the well-established strain gradient model. It is based on the assumption that the deviatoric part of the gradient of the Cauchy stress tensor can contribute to the free energy density of solid materials. It requires the introduction of so-called micro-displacement degrees of freedom in addition to the usual displacement components. An isotropic linear elasticity theory is worked out for two-dimensional stress gradient media. The analytical solution of a simple boundary value problem illustrates the essential differences between stress and strain gradient models. (C)2011 Elsevier Ltd. All rights reserved. |
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| 1 : | Centre des Matériaux (MAT) |
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CNRS : UMR7633 – MINES ParisTech - École nationale supérieure des mines de Paris |
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| 2 : | Laboratoire Navier |
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Ecole des Ponts ParisTech – CNRS : UMR8205 – IFSTTAR |
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| Matériaux et Structures Architecturés (MSA) |
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| Domaine | : | Sciences de l'ingénieur/Mécanique |
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| Strain gradient – Strain gradient elasticity – Stress gradient – Stress gradient elasticity – Micromorphic continuum – Size effect |
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| hal-00697585, version 1 | |
| http://hal-enpc.archives-ouvertes.fr/hal-00697585 | |
| oai:hal-enpc.archives-ouvertes.fr:hal-00697585 | |
| Contributeur : Navier Bibliothèque | |
| Soumis le : Mardi 15 Mai 2012, 16:39:10 | |
| Dernière modification le : Jeudi 18 Octobre 2012, 16:10:35 | |
