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Applicable Analysis
An International Journal
Volume 97, 2018 - Issue 6
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Articles

An asymptotic expansion for perturbations in the displacement field due to the presence of thin interfaces

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Pages 865-887 | Received 30 Jul 2016, Accepted 07 Feb 2017, Published online: 23 Feb 2017
 

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.

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Notes

No potential conflict of interest was reported by the authors.

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