16 citations · 85 across the 17 of their papers we have counts for
8 papers · 1 filter
Upper bounds estimates of the distance to cubic or orthotropic elasticity
Rodrigue Desmorat, Boris Kolev
We address the problem, not of the determination -- which usually needs numerical methods -- but of an accurate analytical estimation of the distance of a raw elasticity tensor to…
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…
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…
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…
Reduced algebraic conditions for plane/axial tensorial symmetries
Marc Olive, Boris Desmorat, Boris Kolev +1
In this article, we formulate necessary and sufficient polynomial equations for the existence of a symmetry plane or an order-two axial symmetry for a totally symmetric tensor of o…
Micromechanics based framework with second-order damage tensors
Rodrigue Desmorat, Boris Desmorat, Marc Olive +1
The harmonic product of tensors---leading to the concept of harmonic factorization---has been defined in a previous work (Olive et al, 2017). In the practical case of 3D crack dens…