Uniqueness in inverse problems for an elasticity system with residual stress by a single measurement

Ching Lung Lin, Jenn Nan Wang

Research output: Contribution to journalArticle

13 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)807-820
Number of pages14
JournalInverse Problems
Volume19
Issue number4
DOIs
Publication statusPublished - 2003 Aug 1

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Signal Processing
  • Mathematical Physics
  • Computer Science Applications
  • Applied Mathematics

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