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Small perturbations of an interface for elastostatic problems |
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| Authors: | Jihene Lagha Faouzi Triki Habib Zribi |
| Institution: | 1. UR11ES24 Optimisation, Modélisation et Aide à la Décision, Université de Tunis El Manar, Faculté des sciences de Tunis, Tunis, Tunisia;2. Laboratoire Jean Kuntzmann, Université Grenoble‐Alpes & CNRS, Saint‐Martin‐d'Hères, Grenoble, France;3. Department of Mathematics, College of Sciences, University of Hafr Al Batin, Hafr Al Batin, Saudi Arabia |
| Abstract: | We consider the Lamé system for an elastic medium consisting of an inclusion embedded in a homogeneous background medium. Based on the field expansion method and layer potential techniques, we rigorously derived the asymptotic expansion of the perturbed displacement field because of small perturbations in the interface of the inclusion. We extend these techniques to determine a relationship between traction‐displacement measurements and the shape of the object and derive an asymptotic expansion for the perturbation in the elastic moment tensors because of the presence of small changes in the interface of the inclusion. Copyright © 2016 John Wiley & Sons, Ltd. |
| Keywords: | small perturbations interface problem Lamé system asymptotic expansions boundary integral method elastic moment tensors |