NUMERICAL SOLUTION OF COMPLEX INTEGRAL EQUATION IN PLANE ELASTICITY WITH NUMERICAL CONFORMAL MAPPING

Authors
  1. Chuang, J.M.
  2. Hu, S.Z.
Corporate Authors
Defence Research Establishment Atlantic, Dartmouth NS (CAN);Technical Univ of Nova Scotia, Halifax NS (CAN) Dept of Mechanical Engineering
Abstract
Based on Muskhelishvili's integral equation and the Schwarz-Christoffel integral, a numerical procedure is developed for solving the stress fields on plates with emphasis on the region around crack tips. The difficulties in the numerical determination of accesssory parameters in the Schwarz-Christoffel transformation are overcome by separating the improper integral into two parts: a finite form of integral in a continuous region which can be integrated exactly; and, a definite integral free of singularity which can easily be computed numerically. Furthermore, the difficulties in the numerical computation of the kernal function in the boundary integral equation are resolved by finding the limit of the kernal function as the source point approaches the field point. Some numerical results of plane-stress problems are provided to demonstrate the accuracy of this approach.
Date of publication
09 Aug 1993
Number of Pages
9
DSTKIM No
94-00287
CANDIS No
136313
Format(s):
Hardcopy;Originator's fiche received by DSIS

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