Abstract
A numerical solution for half-ellipse-shaped crack is presented. In the solution, the hypersingular integral equation in conjunction with the curve length technique is used. Particular attention is paid to the case when b/c (b and c the minor and major axis of an ellipse) is a small value, for example b/c=0.02. A reasonable accuracy requires a sufficient discretization.
Similar content being viewed by others
References
Y. Z. Chen (1995) ArticleTitleA survey of new integral equation in plane elasticity crack problem. Engineering Fracture Mechanics 51 97–134
Y. Z. Chen (2003) ArticleTitleA numerical solution technique of hypersingular integral equation for curved cracks. Communications in Numerical Methods in Engineering 19 645–655
Y. Z. Chen (2004) ArticleTitleSingular integral equation method for the solution of multiple curved crack problems. International Journal of Solids and Structures 42 3505–3519
J. Hadamards (1923) Lectures on Cauchy’s problem in linear differential equations University Press Yale
A.M. Linkov (2002) Boundary integral equations in elasticity theory Kluwer Dordrecht
S. G. Mogilevskaya (2000) ArticleTitleComplex hypersingular integral equation for the piece-wise homogeneous half-plane with cracks International Journal of Fracture 102 177–204
P. A. Martin (2000) ArticleTitlePerturbed cracks in two dimensions: an integral-equation approach. International Journal of Fracture 104 317–327
M. P. Savruk (1981)) Two-dimensional problems of elasticity for body with crack Nauka Dumka Kiev
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chen, Y.Z., Lin, X.Y. A Numerical Solution For Half-Ellipse-Shaped Crack . Int J Fract 132, L19–L23 (2005). https://doi.org/10.1007/s10704-005-2690-z
Issue Date:
DOI: https://doi.org/10.1007/s10704-005-2690-z