arXiv:1601.06774 Abstract | arXiv Analytics

arXiv:1601.06774 [math.AP]Abstract References Reviews Resources

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

Published 2016-01-24Version 1

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.

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

Categories: math.AP

Subjects: 35B30, 35C20, 31B10

Keywords: asymptotic expansion, thin interfaces, perturbations, two-dimensional displacement field, layer potential techniques

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