Determining the unknown traction of a cracked elastic body using the inverse technique with the dual boundary element method

Ru-Min Chao, Yen Ji Chen, F. C. Lin

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The two-dimensional elasticity problem of an isotropic material, containing a centered-crack with unknown boundary traction is studied by the inverse procedure. The dual boundary integral equations are used to analyze the problem. While solving the ill-posed inverse problem, both of the conjugate gradient method and the regularization method are used. A scaling factor depending upon the material constant μ is introduced into the sensitivity matrix in order to keep the order of magnitude the same throughout the formulation. The result by using the displacement measurement will be compared with those by stress measurement, and an extensive discussion will be given. Finally, the effect of measurement error to the inverse problem is also discussed.

Original languageEnglish
Pages (from-to)73-85
Number of pages13
JournalCMES - Computer Modeling in Engineering and Sciences
Volume2
Issue number1
Publication statusPublished - 2001 Dec 1

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Elastic body
Boundary element method
Inverse problems
Boundary Elements
Inverse Problem
Displacement Measurement
Unknown
Displacement measurement
Conjugate gradient method
Boundary integral equations
Scaling Factor
Elasticity Problem
Stress measurement
Conjugate Gradient Method
Ill-posed Problem
Regularization Method
Boundary Integral Equations
Measurement errors
Measurement Error
Elasticity

All Science Journal Classification (ASJC) codes

  • Software
  • Modelling and Simulation
  • Computer Science Applications

Cite this

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N2 - The two-dimensional elasticity problem of an isotropic material, containing a centered-crack with unknown boundary traction is studied by the inverse procedure. The dual boundary integral equations are used to analyze the problem. While solving the ill-posed inverse problem, both of the conjugate gradient method and the regularization method are used. A scaling factor depending upon the material constant μ is introduced into the sensitivity matrix in order to keep the order of magnitude the same throughout the formulation. The result by using the displacement measurement will be compared with those by stress measurement, and an extensive discussion will be given. Finally, the effect of measurement error to the inverse problem is also discussed.

AB - The two-dimensional elasticity problem of an isotropic material, containing a centered-crack with unknown boundary traction is studied by the inverse procedure. The dual boundary integral equations are used to analyze the problem. While solving the ill-posed inverse problem, both of the conjugate gradient method and the regularization method are used. A scaling factor depending upon the material constant μ is introduced into the sensitivity matrix in order to keep the order of magnitude the same throughout the formulation. The result by using the displacement measurement will be compared with those by stress measurement, and an extensive discussion will be given. Finally, the effect of measurement error to the inverse problem is also discussed.

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