arXiv:1601.06373 Abstract | arXiv Analytics

arXiv:1601.06373 [math.AP]Abstract References Reviews Resources

Small Perturbations of an Interface for Elastostatic Problems

Published 2016-01-24Version 1

We consider solutions to the Lam\'e system in two dimensions. By using systematic way, based on layer potential techniques and the field expansion (FE) method (formal derivation), we establish a rigorous asymptotic expansion for the perturbations of the displacement field caused by small perturbations of the shape of an elastic inclusion with C2-boundary. We extend these techniques to determine a relationship between traction-displacement measurements and the shape of the object and derive an asymptotic expansion of the perturbations of elastic moments tensors (EMTs).

Comments: 42pages,0 figures

Categories: math.AP

Subjects: 35B30, 35C20, 31B10

Keywords: small perturbations, elastostatic problems, elastic moments tensors, layer potential techniques, systematic way

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