Asymptotic Analysis of Stratified Elastic Media in the Space of Functions with Bounded Deformation

Michel Bellieud (1) , Shane Cooper (2)

1 LMGC - Laboratoire de Mécanique et Génie Civil
2 University of Bath [Bath]

We consider a heterogeneous elastic structure which is stratified in one direction. We derive the limit problem under the sole assumption that the Lamé coefficients and their inverses weakly* converge to some Radon measures.

Mots clés: Homogenization; Singular perturbations; Elasticity

Domaines: Mathématiques [math]; Mécanique [physics.med-ph]

Michel Bellieud, Shane Cooper. Asymptotic Analysis of Stratified Elastic Media in the Space of Functions with Bounded Deformation . SIAM Journal on Mathematical Analysis, 2017, 49 (5), pp.4275 - 4317. ⟨10.1137/16M107551X⟩. ⟨hal-01769911⟩