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arxiv: 1111.0604 · v1 · pith:CTUSXFBEnew · submitted 2011-11-02 · 🧮 math.AP

Stable determination of a rigid inclusion in an anisotropic elastic plate

classification 🧮 math.AP
keywords plateboundaryinclusionelasticproblemrigidanisotropicanisotropy
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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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