39 citations · 82 across the 11 of their papers we have counts for
4 papers · 1 filter
Geometric theory of generalised continua using moving frames
Boris Kolev, Cl{é}ment Ecker
Generalised continuum theories couple the macroscopic deformation and the micro-/meso-scopic deformation of an underlying micro-structure. They can account for internal length-scal…
The Haar measure in solid mechanics
Clément Ecker, Boris Kolev
This article addresses the overlooked but crucial role of the Haar measure in solid mechanics, a concept well-established in mathematical literature but frequently misunderstood by…
Harmonic factorization and reconstruction of the elasticity tensor
Marc Olive, Boris Kolev, Boris Desmorat +1
In this paper, we propose a factorization of a fourth-order harmonic tensor into second-order tensors. We obtain moreover explicit equivariant reconstruction formulas, using second…
A minimal integrity basis for the elasticity tensor
Nicolas Auffray, Marc Olive, Boris Kolev
We definitively solve the old problem of finding a minimal integrity basis of polynomial invariants of the fourth-order elasticity tensor C. Decomposing C into its SO(3)-irreducibl…