Vol.2, No.1, 2001, pp.73-86, doi:10.3970/cmes.2001.002.073
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ARTICLE
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. Lin1
National Cheng Kung University, Dept. of Naval Architecture and Marine Engineering, Tainan, Taiwan 701 R.O.C
  Email: rmchao@mail.ncku.edu.tw
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.
Keywords
Inverse Problem, Crack, Dual Boundary Integral Equation, Regularization Method, Conjugate Gradient Method, Displacement, Stress, Measurement Error.
Cite This Article
Chao, R., Chen, Y., Lin, F. (2001). Determining the Unknown Traction of a Cracked Elastic Body Using the Inverse Technique with the Dual Boundary Element Method. CMES-Computer Modeling in Engineering & Sciences, 2(1), 73–86.
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