Small perturbations of an interface for elastostatic problems. (14th November 2016)

• Record Type: Journal Article
• Authors: Lagha, Jihene; Triki, Faouzi; Zribi, Habib
• Is Part Of: Mathematical methods in the applied sciences. Volume 40:Number 10(2017)
• Page Start: 3608
• Page End: 3636
• Publication Date: 2016-11-14
• Subjects: small perturbations -- interface problem -- Lamé system -- asymptotic expansions -- boundary integral method -- elastic moment tensors; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4249
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : We consider the Lamé system for an elastic medium consisting of an inclusion embedded in a homogeneous background medium. Based on the field expansion method and layer potential techniques, we rigorously derived the asymptotic expansion of the perturbed displacement field because of small perturbations in the interface of the inclusion. We extend these techniques to determine a relationship between traction‐displacement measurements and the shape of the object and derive an asymptotic expansion for the perturbation in the elastic moment tensors because of the presence of small changes in the interface of the inclusion. Copyright © 2016 John Wiley & Sons, Ltd.