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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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Contributor : Nicolas Auffray Connect in order to contact the contributor
Submitted on : Monday, January 3, 2022 - 10:02:52 AM
Last modification on : Thursday, September 29, 2022 - 2:21:15 PM


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  • HAL Id : hal-03287608, version 2


Nicolas Auffray, Saad El Ouafa, Giuseppe Rosi, Boris Desmorat. Anisotropic Structure Of Two-Dimensional Linear Cosserat Elasticity. Mathematics and Mechanics of Complex Systems, International Research Center for Mathematics & Mechanics of Complex Systems (M&MoCS),University of L’Aquila in Italy, In press. ⟨hal-03287608v2⟩



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