Distance to plane elasticity orthotropy by Euler-Lagrange method
Classical Physics
2022-04-25 v2
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.
Keywords
Cite
@article{arxiv.2107.14456,
title = {Distance to plane elasticity orthotropy by Euler-Lagrange method},
author = {Adrien Antonelli and Boris Desmorat and Boris Kolev and Rodrigue Desmorat},
journal= {arXiv preprint arXiv:2107.14456},
year = {2022}
}