Inverse Problems at the Boundary for an Elastic Medium
- 1 March 1995
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 26 (2) , 263-279
- https://doi.org/10.1137/s0036141093247494
Abstract
In this paper, it is proven that one can determine the full Taylor series of the elastic tenser of an elastic, isotropic, inhomogeneous medium in all dimensions n greater than or equal to 2 and for a generic anisotropic elastic tenser in two dimensions by making measurements at the boundary of the medium of the displacement vectors and corresponding stresses. This information is encoded in the so-called Dirichlet-to-Neumann mapKeywords
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