An Iterative Algorithm of Hypersingular Integral Equations for Crack Problems

Abstract:

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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 and 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:

$35.00

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