Zobrazeno 1 - 10
of 125
pro vyhledávání: '"Francfort, Gilles A."'
Notwithstanding the evidence against them, classical variational phase-field models continue to be used and pursued in an attempt to describe fracture nucleation in elastic brittle materials. In this context, the main objective of this paper is to pr
Externí odkaz:
http://arxiv.org/abs/2409.00242
This work addresses the question of uniqueness and regularity of the minimizers of a convex but not strictly convex integral functional with linear growth in a two-dimensional setting. The integrand -- whose precise form derives directly from the the
Externí odkaz:
http://arxiv.org/abs/2312.01849
Surface tension at cavity walls can play havoc with the mechanical properties of perforated soft solids when the cavities are filled with a fluid. This study is an investigation of the macroscopic elastic properties of elastomers embedding spherical
Externí odkaz:
http://arxiv.org/abs/2309.03630
We investigate the PDE system resulting from even electromechanical coupling in elastomers. Assuming a periodic microstructure and a periodic distribution of micro-charges of a prescribed order, we derive the homogenized system. The results depend cr
Externí odkaz:
http://arxiv.org/abs/2101.06007
Publikováno v:
Comm. Pure Appl. Math., 2021
We investigate uniqueness issues for a continuity equation arising out of the simplest model for plasticity, Hencky plasticity. The associated system is of the form $\rm{ curl\;}(\mu\sigma)=0$ where $\mu$ is a nonnegative measure and $\sigma$ a two-d
Externí odkaz:
http://arxiv.org/abs/2005.07612
Autor:
Briane, Marc, Francfort, Gilles A.
Homogenization in linear elliptic problems usually assumes coercivity of the accompanying Dirichlet form. In linear elasticity, coercivity is not ensured through mere (strong) ellipticity so that the usual estimates that render homogenization meaning
Externí odkaz:
http://arxiv.org/abs/1802.00834
Linear fracture mechanics (or at least the initiation part of that theory) can be framed in a variational context as a minimization problem over a SBD type space. The corresponding functional can in turn be approximated in the sense of $\Gamma$-conve
Externí odkaz:
http://arxiv.org/abs/1709.04208
Autor:
Francfort, Gilles, Gloria, Antoine
Publikováno v:
Comptes Rendus Math\'ematique, Elsevier Masson, 2016, 354, pp.1139 - 1144
Since the seminal contribution of Geymonat, M{\"u}ller, and Triantafyllidis, it is known that strong ellipticity is not necessarily conserved by homogenization in linear elasticity. This phenomenon is typically related to microscopic buckling of the
Externí odkaz:
http://arxiv.org/abs/1611.06885
This note is devoted to a rigorous derivation of rigid-plasticity as the limit of elasto-plasticity when the elasticity tends to infinity.
Externí odkaz:
http://arxiv.org/abs/1510.03585
Publikováno v:
In Journal of the Mechanics and Physics of Solids September 2020 142
