{ "id": "1601.06774", "version": "v1", "published": "2016-01-24T12:05:42.000Z", "updated": "2016-01-24T12:05:42.000Z", "title": "An Asymptotic Expansion for Perturbations in the Displacement Field due to the Presence of Thin Interfaces", "authors": [ "Jihene Lagha", "Habib Zribi" ], "comment": "23pages, 0figures. arXiv admin note: substantial text overlap with arXiv:1601.06373", "categories": [ "math.AP" ], "abstract": "We derive an asymptotic expansion for two-dimensional displacement field associated to thin elastic inhomogeneities having no uniform thickness. Our derivation is rigorous and based on layer potential techniques. We extend these techniques to determine a relationship between traction-displacement measurements and the shape of the object.", "revisions": [ { "version": "v1", "updated": "2016-01-24T12:05:42.000Z" } ], "analyses": { "subjects": [ "35B30", "35C20", "31B10" ], "keywords": [ "asymptotic expansion", "thin interfaces", "perturbations", "two-dimensional displacement field", "layer potential techniques" ], "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160106774L" } } }