Paper Title:
An Iterative Algorithm of Hypersingular Integral Equations for Crack Problems
  Abstract

Crack problems are reducible to singular integral equations with strongly singular kernels by means of the body force method. In the ordinary method, the integral equations are reduced to a system of linear algebraic equations. In this paper, an iterative method for the numerical solution of the hypersingular integral equations of the body force method is proposed. This method is based on the Gauss- Chebyshev numerical integration rule and is very simple to program. The solution is achieved without solving the system of linear algebraic equations. The proposed method is applied to some plane elasticity crack problems and is seen to give convergent results.

  Info
Periodical
Key Engineering Materials (Volumes 385-387)
Edited by
H.S. Lee, I.S. Yoon and M.H. Aliabadi
Pages
793-796
DOI
10.4028/www.scientific.net/KEM.385-387.793
Citation
K. Oda, N. Noda, "An Iterative Algorithm of Hypersingular Integral Equations for Crack Problems", Key Engineering Materials, Vols. 385-387, pp. 793-796, 2008
Online since
July 2008
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Price
$32.00
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