Stable determination of a rigid inclusion in an anisotropic elastic plate
Analysis of PDEs
2011-11-03 v1
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.
Keywords
Cite
@article{arxiv.1111.0604,
title = {Stable determination of a rigid inclusion in an anisotropic elastic plate},
author = {Antonino Morassi and Edi Rosset and Sergio Vessella},
journal= {arXiv preprint arXiv:1111.0604},
year = {2011}
}