Homogenization of an elastic material reinforced by very strong fibers arranged along a periodic lattice

Homogénéisation d'un matériau élastique renforcé par des fibres très rigides formant un réseau périodique.

Houssam Abdoul-Anziz (1) , Lukáš Jakabčin (1) , Pierre Seppecher (1)

1 IMATH - Institut de Mathématiques de Toulon - EA 2134

Domains: Mathematics [math]; Analysis of PDEs [math.AP]; Physics [physics]; Mechanics [physics]; Mechanics of materials [physics.class-ph]; Physics [physics]; Mechanics [physics]; Solid mechanics [physics.class-ph]; Physics [physics]; Mechanics [physics]; Structural mechanics [physics.class-ph]; Mathematics [math]; Functional Analysis [math.FA]

Houssam Abdoul-Anziz, Lukáš Jakabčin, Pierre Seppecher. Homogenization of an elastic material reinforced by very strong fibers arranged along a periodic lattice. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2021, ⟨10.1098/rspa.2020.0620⟩. ⟨hal-02482837⟩