Uniqueness in inverse problems for an elasticity system with residual stress by a single measurement
Resource
Inverse Problems 19: 807-820
Journal
Inverse Problems
Journal Volume
19
Journal Issue
4
Pages
807-820
Date Issued
2003
Author(s)
Lin, C.-L.
Abstract
In this paper we consider an elasticity system with residual stress. The constitutive equation of this elasticity system differs from that of the isotropic elasticity system by R + (∇u)R, where R is the residual stress tensor. This system is not isotropic due to the existence of the residual stress R. Thus, it is not possible to reduce the principal part of the system to uncoupled wave operators as we have for the isotropic elasticity system. Here we investigate inverse problems of identifying the force term or the density by a single measurement of the lateral boundary. We establish uniqueness results by means of Carleman estimates when the residual stress is small.
Type
journal article
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