activity
20132021
most citedA minimal integrity basis for the elasticity tensor

39 citations · 159 across the 15 of their papers we have counts for

collaborators

18 papers

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.DG2021★ 2 cited

A Non-Intrusive Space-Time Interpolation from Compact Stiefel Manifolds of Parametrized Rigid-Viscoplastic FEM Problems

Orestis Friderikos, Marc Olive, Emmanuel Baranger +2

This work aims to interpolate parametrized Reduced Order Model (ROM) basis constructed via the Proper Orthogonal Decomposition (POD) to derive a robust ROM of the system's dynamics…

math.DG2020★ 1 cited

On the stability of POD Basis Interpolation via Grassmann Manifolds for Parametric Model Order Reduction in Hyperelasticity

Orestis Friderikos, Emmanuel Baranger, Marc Olive +1

This work considers the stability of Proper Orthogonal Decomposition (POD) basis interpolation on Grassmann manifolds for parametric Model Order Reduction (pMOR) in hyperelasticity…

cond-mat.mtrl-sci2020

Integrity bases for cubic nonlinear magnetostriction

Julien Taurines, Marc Olive, Rodrigue Desmorat +2

A so-called smart material is a material that is the seat of one or more multiphysical coupling. One of the key points in the development of the constitutive laws of these material…

physics.class-ph2020★ 16 cited

Symmetry classes in piezoelectricity from second-order symmetries

Marc Olive, Nicolas Auffray

The piezoelectricity law is a constitutive model that describes how mechanical andelectric fields are coupled within a material. In its linear formulation this law comprises threec…

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…