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Distance to plane elasticity orthotropy by Euler-Lagrange method

Abstract : 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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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03308899
Contributor : Boris Kolev Connect in order to contact the contributor
Submitted on : Friday, April 15, 2022 - 11:18:53 PM
Last modification on : Sunday, April 24, 2022 - 3:26:58 AM

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  • HAL Id : hal-03308899, version 2
  • ARXIV : 2107.14456

Citation

Adrien Antonelli, Boris Desmorat, Boris Kolev, Rodrigue Desmorat. Distance to plane elasticity orthotropy by Euler-Lagrange method. 2022. ⟨hal-03308899v2⟩

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