An asymptotic expansion for perturbations in the displacement field due to the presence of thin interfaces. Issue 6 (26th April 2018)

• Record Type: Journal Article
• Authors: Lagha, Jihene; Zribi, Habib
• Is Part Of: Applicable analysis. Volume 97:Issue 6(2018)
• Page Start: 865
• Page End: 887
• Publication Date: 2018-04-26
• Subjects: Thin inhomogeneities -- small perturbations -- Lamé system -- asymptotic expansions -- boundary integral method; 35B30 -- 35C20 -- 31B10; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2017.1293816
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : We rigorously derive an asymptotic expansion for two-dimensional displacement field associated with thin elastic inclusion having no uniform thickness. Our approach is based on layer potential techniques through integral representation formulas of the fields. We extend these techniques to determine a relationship between traction–displacement measurements and the shape of the thin inclusion.