16 citations · 85 across the 17 of their papers we have counts for
4 papers · 1 filter
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…
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…
Generic separating sets for 3D elasticity tensors
Rodrigue Desmorat, Nicolas Auffray, Boris Desmorat +2
We define what is a generic separating set of invariant functions (a.k.a. a weak functional basis) for tensors. We produce then two generic separating sets of polynomial invariants…
Characterization of the symmetry class of an Elasticity tensor using polynomial covariants
Marc Olive, Boris Kolev, R. Desmorat +1
We formulate effective necessary and sufficient conditions to identify the symmetry class of an elasticity tensor, a fourth-order tensor which is the cornerstone of the theory of e…