Article Dans Une Revue Journal of the Mechanics and Physics of Solids Année : 2013

Matrix representations for 3D strain-gradient elasticity

Résumé

The theory of first strain gradient elasticity (SGE) is widely used to model size and non-local effects observed in materials and structures. For a material whose microstructure is centrosymmetric, SGE is characterized by a sixth-order elastic tensor in addition to the classical fourth-order elastic tensor. Even though the matrix form of the sixth-order elastic tensor is well-known in the isotropic case, its complete matrix representations seem to remain unavailable in the anisotropic cases. In the present paper, the explicit matrix representations of the sixth-order elastic tensor are derived and given for all the 3D anisotropic cases in a compact and well-structured way. These matrix representations are necessary to the development and application of SGE for anisotropic materials

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hal-00771223 , version 1 (09-01-2013)

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Nicolas Auffray, Hung Le Quang, Qi-Chang He. Matrix representations for 3D strain-gradient elasticity. Journal of the Mechanics and Physics of Solids, 2013, 61 (5), pp.1202-1223. ⟨10.1016/j.jmps.2013.01.003⟩. ⟨hal-00771223⟩
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