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Anisotropic Structure Of Two-Dimensional Linear Cosserat Elasticity

Abstract : In the present contribution the anisotropic structure of the two-dimensional linear Cosserat elasticity is investigated. The symmetry classes of this model are derived and detailed in a synthetic way. Particular attention is paid to specific features of Cosserat Elasticity which are the sensitivity to non-centrosymmetry as well as to chirality. These aspects are important for the application of this continuum theory to the mechanical modelling of lattices and metamaterials. In order to give a parameterisation to the Cosserat constitutive law, an explicit harmonic decomposition of its constitutive tensors is provided. Finally, using an algorithm introduced in a side paper, a minimal integrity basis, which is the minimal set of polynomial invariants generating the algebra of O(2)-invariant polynomials, is finally reported.
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https://hal-upec-upem.archives-ouvertes.fr/hal-03287608
Contributor : Nicolas Auffray <>
Submitted on : Thursday, July 15, 2021 - 5:47:26 PM
Last modification on : Saturday, July 17, 2021 - 3:47:31 AM

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  • HAL Id : hal-03287608, version 1

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Nicolas Auffray, Saad El Ouafa, Giuseppe Rosi, Boris Desmorat. Anisotropic Structure Of Two-Dimensional Linear Cosserat Elasticity. 2021. ⟨hal-03287608⟩

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