activity
20162026
most citedHarmonic factorization and reconstruction of the elasticity tensor

27 citations · 93 across the 10 of their papers we have counts for

collaborators

12 papers

math-ph2026

On Exotic Materials in 3D Linear Elasticity with High Symmetry Classes

Nicolas Auffray, Guangjin Mou, Boris Desmorat

An anisotropic elastic material is referred to as exotic when, under specific loadings, its mechanical response exhibits a higher degree of symmetry than that prescribed by its int…

physics.class-ph2021

Distance to plane elasticity orthotropy by Euler-Lagrange method

Adrien Antonelli, Boris Desmorat, Boris Kolev +1

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 re…

math.RT2021★ 11 cited

Minimal functional bases for elasticity tensor symmetry classes

Rodrigue Desmorat, N Auffray, B Desmorat +2

Functional bases, synonymous with separating sets, are usually formulated for an entire vector space, such as the space Ela of elasticity tensors. We propose here to define functio…

math-ph2020★ 12 cited

Explicit Harmonic Structure Of Bidimensional Linear Strain-Gradient Elasticity

Nicolas Auffray, Houssam Andoul-Anziz, Boris Desmorat

In the perspective of homogenization theory, strain-gradient elasticity is a strategy to describe the overall behaviour of materials with coarse mesostructure. In this approach, th…

math.RT2020★ 11 cited

Computation of minimal covariants bases for 2D coupled constitutive laws

Boris Desmorat, Marc Olive, Nicolas Auffray +2

We produce minimal integrity bases for both isotropic and hemitropic invariant algebras (and more generally covariant algebras) of most common bidimensional constitutive tensors an…

physics.class-ph2020

On the determination of plane and axial symmetries in linear Elasticity and Piezo-electricity

Marc Olive, Boris Desmorat, Boris Kolev +1

We formulate necessary and sufficient conditions for a unit vector n to generate a plane or axial symmetry of a constitutive tensor. For the elasticity tensor, these conditions con…