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

Bellieud, Michel; Cooper, Shane

Abstract

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

Citation

Bellieud, M., & Cooper, S. (2017). Asymptotic Analysis of Stratified Elastic Media in the Space of Functions with Bounded Deformation. SIAM Journal on Mathematical Analysis, 49(5), 4275-4317. https://doi.org/10.1137/16m107551x

• Journal Article Type: Article
• Acceptance Date: Sep 5, 2017
• Online Publication Date: Oct 30, 2017
• Publication Date: Oct 30, 2017
• Deposit Date: Nov 1, 2017
• Publicly Available Date: Nov 1, 2017
• Journal: SIAM Journal on Mathematical Analysis
• Print ISSN: 0036-1410
• Publisher: Society for Industrial and Applied Mathematics
• Peer Reviewed: Peer Reviewed
• Volume: 49
• Issue: 5
• Pages: 4275-4317
• DOI: https://doi.org/10.1137/16m107551x
• Public URL: https://durham-repository.worktribe.com/output/1345064