TORSION PROBLEM OF ELASTOSTATICS - AN APPLICATION OF BOUNDARY ELEMENT METHOD AND RELATION WITH CONFORMAL MAPPING

Authors
  1. Hu, T.S.Z.
Corporate Authors
Defence Research Establishment Atlantic, Dartmouth NS (CAN)
Abstract
The boundary integral equation method can be applied to the solution of many types of partial differential equations which arise in mathematical physics. The governing equations of the torsion problem in elastostatics can be simplified to either Laplace's equation, Dirac delta function squared, potential, Prendtl stress function, warping function = 0, or Poisson's equation, Dirac delta function squared, potential, Prendtl stress function, warping function = C, and the boundary integral techniques developed for solving potential flow can be applied. This memorandum presents the boundary integral formulation of Laplace's equation and its discretization. The physical meaning of such equations is demonstrated through the application of the boundary element method to the torsion problem. The inaccuracy of the solutions at the corners of the domain is studied via the theory of conformal mapping. TRUNCATED
Report Number
DREA-TM-92-218 — Technical Memorandum
Date of publication
15 Sep 1992
Number of Pages
32
DSTKIM No
92-03794
CANDIS No
127140
Format(s):
Hardcopy;Originator's fiche received by DSIS

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