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A new boundary integral equation for notch problem of plane elasticity
Authors:Y. Z. Chen  Y. K. Cheung
Affiliation:(1) Division of Engineering Mechanics, Jiangsu Institute of Technology, 212013 Zhenjiang, Jiangsu, People's Republic of China;(2) Department of Civil and Structural Engineering, University of Hong Kong, Hong Kong
Abstract:A new boundary integral equation for the notch problem of plane elasticity is formulated in this paper. In the formulation, the distributed dislocation density is taken to be the unknown function and the resultant force function to be the right-hand term in the resulting integral equation. As a result the integral equation derived contains a logarithmic kernel. The equation is compact in form and convenient for computation. The accuracy of the method is demonstrated through a number of numerical examples.
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