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arXiv · 1707.06630

Size estimates for fat inclusions in an isotropic Reissner-Mindlin plate

Antonino Morassi·Edi Rosset·Sergio Vessella
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Abstract

In this paper we consider the inverse problem of determining, within an elastic isotropic thick plate modelled by the Reissner-Mindlin theory, the possible presence of an inclusion made of a different elastic material. Under some a priori assumptions on the inclusion, we deduce constructive upper and lower estimates of the area of the inclusion in terms of a scalar quantity related to the work developed in deforming the plate by applying simultaneously a couple field and a transverse force field at the boundary of the plate. The approach allows to consider plates with boundary of Lipschitz class.

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Antonino Morassi, Edi Rosset, Sergio Vessella. 2017-07-20. Size estimates for fat inclusions in an isotropic Reissner-Mindlin plate. https://doi.org/10.1088/1361-6420%2Faa9e55

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