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

Ching Lung Lin, Jenn Nan Wang

研究成果: Article同行評審

13 引文 斯高帕斯(Scopus)

摘要

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.

原文English
頁(從 - 到)807-820
頁數14
期刊Inverse Problems
19
發行號4
DOIs
出版狀態Published - 2003 八月

All Science Journal Classification (ASJC) codes

  • 理論電腦科學
  • 訊號處理
  • 數學物理學
  • 電腦科學應用
  • 應用數學

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