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Pré-Publication, Document De Travail Année : 2021

Distance to plane elasticity orthotropy by Euler-Lagrange method

Résumé

Constitutive tensors are of common use in mechanics of materials. To determine the relevant symmetry class of an experimental tensor is still a tedious problem. For instance, it requires numerical methods in three-dimensional elasticity. We address here the more affordable case of plane (bi-dimensional) elasticity, which has not been fully solved yet. We recall first Vianello's orthogonal projection method, valid for both the isotropic and the square symmetric (tetragonal) symmetry classes. We then solve in a closed-form the problem of the distance to plane elasticity orthotropy, thanks to the Euler-Lagrange method.
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Dates et versions

hal-03308899 , version 1 (29-07-2021)
hal-03308899 , version 2 (15-04-2022)

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Adrien Antonelli, Boris Desmorat, Boris Kolev, Rodrigue Desmorat. Distance to plane elasticity orthotropy by Euler-Lagrange method. 2021. ⟨hal-03308899v1⟩
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