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

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 pro blem. While solving the ill-posed inverse problem, both of the conjugate gr adient method and the regularization method are used. A scaling factor depe nding upon the material constant mu is introduced into the sensitivity matr ix in order to keep the order of magnitude the same throughout the formulat ion. The result by using the displacement measurement will be compared with those by stress measurement, and an extensive discussion will be given. Fi nally, the effect of measurement error to the inverse problem is also discu ssed.