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arXiv · 1111.0604

Stable determination of a rigid inclusion in an anisotropic elastic plate

Antonino Morassi·Edi Rosset·Sergio Vessella
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Abstract

In this paper we consider the inverse problem of determining a rigid inclusion inside a thin plate by applying a couple field at the boundary and by measuring the induced transversal displacement and its normal derivative at the boundary of the plate. The plate is made by non-homogeneous linearly elastic material belonging to a general class of anisotropy. For this severely ill-posed problem, under suitable a priori regularity assumptions on the boundary of the inclusion, we prove a stability estimate of log-log type.

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Antonino Morassi, Edi Rosset, Sergio Vessella. 2011-11-02. Stable determination of a rigid inclusion in an anisotropic elastic plate. https://arxiv.org/abs/1111.0604

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