8 papers
The distance to cubic symmetry class as a polynomial optimization problem
Perla Azzi, Rodrigue Desmorat, Boris Kolev +1
Generically, a fully measured elasticity tensor has no material symmetry. For single crystals with a cubic lattice, or for the aeronautics turbine blades superalloys such as Nickel…
An intrinsic geometric formulation of Hyper-elasticity, pressure potential and non-holonomic constraints
Boris Kolev, Rodrigue Desmorat
Isotropic hyper-elasticity, altogether with the equilibrium equation and the usual boundary conditions, are formulated directly on the body B, a three-dimensional compact and orien…
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…
Continuous anisotropic damage as a twin modelling of discrete bi-dimensional fracture
C Oliver-Leblond, R Desmorat, Boris Kolev
In this contribution, the use of discrete simulations to formulate an anisotropic damage model is investigated. It is proposed to use a beam-particle model to perform numerical cha…
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…
Recovering the normal form of an elasticity tensor
Sophie Abramian, Boris Desmorat, Rodrigue Desmorat +2
We propose an effective geometrical approach to recover the normal form of a given Elasticity tensor, once we know its symmetry class. In other words, we produce a rotation which b…