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Article Dans Une Revue Mathematics and Mechanics of Complex Systems Année : 2022

Anisotropic Structure Of Two-Dimensional Linear Cosserat Elasticity

Résumé

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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Dates et versions

hal-03287608 , version 1 (15-07-2021)
hal-03287608 , version 2 (03-01-2022)

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Nicolas Auffray, Saad El Ouafa, Giuseppe Rosi, Boris Desmorat. Anisotropic Structure Of Two-Dimensional Linear Cosserat Elasticity. Mathematics and Mechanics of Complex Systems, 2022, ⟨10.2140/memocs.2022.10.321⟩. ⟨hal-03287608v2⟩
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