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

TI  - Determining the Unknown Traction of a Cracked Elastic Body Using the Inverse Technique with the Dual Boundary Element Method
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2001
VL  - 2
IS  - 1
SN  - 1526-1506

AB  - The two-dimensional elasticity problem of an isotropic material, containing a <i>centered-crack</i> 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 <i>μ</i> 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.
KW  - Inverse Problem
KW  -  Crack
KW  -  Dual Boundary Integral Equation
KW  -  Regularization Method
KW  -  Conjugate Gradient Method
KW  -  Displacement
KW  -  Stress
KW  -  Measurement Error

DO  - 10.3970/cmes.2001.002.073