An Asymptotic Expansion for Perturbations in the Displacement Field due to the Presence of Thin Interfaces

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.

23pages, 0figures. arXiv admin note: substantial text overlap with arXiv:1601.06373