The reciprocity gap functional for identifying defects and cracks

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

The recovery of defects and cracks in solids using overdetermined boundary data, both the Dirichlet and the Neumann types, is considered in this paper. A review of the method for solving these inverse problems is given, focusing particularly on linearized inverse problems. It is shown how the reciprocity gap functional can solve nonlinear inverse problems involving identification of cracks and distributed defects in bounded solids. Exact solutions for planar cracks in 3D solids are given for static elasticity, heat diffusion and transient acoustics.

Original languageEnglish
Title of host publicationCISM International Centre for Mechanical Sciences, Courses and Lectures
PublisherSpringer International Publishing
Pages17-54
Number of pages38
DOIs
Publication statusPublished - 1 Jan 2005
Externally publishedYes

Publication series

NameCISM International Centre for Mechanical Sciences, Courses and Lectures
Volume469
ISSN (Print)0254-1971
ISSN (Electronic)2309-3706

Keywords

  • Boundary Data
  • Cauchy Problem
  • Data Pair
  • Inverse Problem
  • Planar Crack

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