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| HAL : hal-00587082, version 1 |
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| Journal of Engineering Mechanics 136, 2 (2009) 239-253 |
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| Micromechanical explanation of elasticity and strength of gypsum: from elongated anisotropic crystals to isotropic porous polycrystals |
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| Julien Sanahuja 1Luc Dormieux 2, 3 |
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| (17/07/2009) |
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| Gypsum is made up of interlocked and elongated crystals. The random nature of its morphology suggests to resort to homogenization of random media to investigate its mechanical properties from the scale of the single crystals upwards. Unfortunately, the usual homogenization schemes fail to quantitatively predict the influence of the porosity on the effective Young's modulus of gypsum. This is clearly due to the inability of such approaches to take into account the elongated nature of the crystals. A modification of the classical self-consistent scheme is proposed. It is validated against elastic characteristics computed by finite element analyses, and also against experiments on real dried gypsum samples with empty pores . Finally, a strength model based on brittle failure is presented. The whole strength domain in the space of macroscopic principal stresses is derived. The comparison to experimental data in both simple tension and simple compression is remarkably good. |
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| 1 : | EDF R&D, Département Matériaux et Mécanique des Composants |
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EDF Recherche et Développement |
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| 2 : | Laboratoire des matériaux et structures du génie civil (LMSGC) |
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CNRS : UMR113 – Institut Navier – LCPC – Ecole des Ponts ParisTech |
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| 3 : | Laboratoire Navier |
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Ecole des Ponts ParisTech – CNRS : UMR8205 – IFSTTAR |
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| 4 : | Matériaux, ingénierie et sciences (MATEIS) |
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CNRS : UMR5510 – Institut National des Sciences Appliquées (INSA) - Lyon |
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| 5 : | Vienna University of Technology (TU Wien) |
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Vienna University of Technology (TU Wien) |
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| Domaine | : | Sciences de l'ingénieur/Mécanique/Mécanique des matériaux Physique/Mécanique/Mécanique des matériaux |
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| Homogenization – Gypsum – Microstructures – Elasticity – Strength. |
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| hal-00587082, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00587082 | |
| oai:hal.archives-ouvertes.fr:hal-00587082 | |
| Contributeur : Sylvain Meille | |
| Soumis le : Mardi 19 Avril 2011, 13:06:33 | |
| Dernière modification le : Mardi 19 Avril 2011, 14:51:15 | |
