16 citations · 26 across the 7 of their papers we have counts for
7 papers
Souriau's Relativistic general covariant formulation of hyperelasticity revisited
Boris Kolev, Rodrigue Desmorat
We present and modernize Souriau's 1958 geometric framework for Relativistic continuous media, and enlighten the necessary and the ad hoc modeling choices made since, focusing as m…
On the isotropy stratification of a real representation of a compact Lie group
Perla Azzi, Rodrigue Desmorat, Julien Grivaux +1
The aim of the present paper is to provide a comprehensive introduction to some algebraic and geometric aspects of real representations of compact Lie groups, as well as some resul…
Distance to a constitutive tensor isotropy stratum by Lasserre polynomial optimization method
Perla Azzi, Rodrigue Desmorat, Boris Kolev +1
We give a detailed description of a polynomial optimization method allowing to solve a problem in continuum mechanics: the determination of the elasticity or the piezoelectricity t…
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…
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…
Kähler-Einstein fillings
Vincent Guedj, Boris Kolev, Nader Yeganefar
We show that on an open bounded smooth strongly pseudoconvex subset of $\CC^{n}$, there exists a Kähler-Einstein metric with positive Einstein constant, such that the metric restri…