16 citations · 85 across the 17 of their papers we have counts for
4 papers · 1 filter
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…
Reduced polynomial invariant integrity basis for in-plane magneto-mechanical loading
Julien Taurines, Boris Kolev, Rodrigue Desmorat +1
The description of the behavior of a material subjected to multi-physics loadings requires the formulation of constitutive laws that usually derive from Gibbs free energies, using…