Zobrazeno 1 - 10
of 174
pro vyhledávání: '"Kolev, Boris"'
Publikováno v:
Comptes Rendus. Mécanique, Vol 350, Iss G2, Pp 413-430 (2022)
Constitutive tensors are of common use in mechanics of materials. Determining the relevant symmetry class of an experimental tensor is still a tedious problem. For instance, it requires numerical methods in three-dimensional elasticity. We address he
Externí odkaz:
https://doaj.org/article/b2f863096a134ab4bb7ee065c91da296
Autor:
Ecker, Clément, Kolev, Boris
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 mechanicians. The aim is to provide practical insights and methodolog
Externí odkaz:
http://arxiv.org/abs/2410.03371
Autor:
Kolev, Boris, Desmorat, Rodrigue
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 much as possible on the Continuum Mechanics point of view. We describe
Externí odkaz:
http://arxiv.org/abs/2301.09437
In this article we study the isotropy stratification of a linear representation $V$ of a compact Lie group $G$. We prove that the closed isotropy strata are real algebraic manifolds and that for each isotropy subgroup $H$, every rational invariant of
Externí odkaz:
http://arxiv.org/abs/2301.08599
Publikováno v:
Math. Mech. Compl. Sys. 11 (2023) 393-428
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 tensor of a specific isotropy stratum the closest to a given experiment
Externí odkaz:
http://arxiv.org/abs/2207.04729
Autor:
Desmorat, Rodrigue, Kolev, Boris
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 cubic symmetry and to orthotropy. We point out that there are not one
Externí odkaz:
http://arxiv.org/abs/2206.03063
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 Nickelbased CMSX-4, cubic symmetry is nevertheless expected. It is in practi
Externí odkaz:
http://arxiv.org/abs/2203.14562