Numerical solution of three-dimensional crack problem by using hypersingular integral equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(00)00374-1 ◽

2001 ◽

Vol 190 (31) ◽

pp. 4019-4026 ◽

Author(s):

Y.Z. Chen ◽

Kang Yong Lee

Keyword(s):

Integral Equation ◽

Numerical Solution ◽

Crack Problem ◽

Three Dimensional ◽

Hypersingular Integral Equation ◽

Hypersingular Integral

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Numerical solution for curved crack problem in elastic half-plane using hypersingular integral equation

The Philosophical Magazine A Journal of Theoretical Experimental and Applied Physics ◽

10.1080/14786430903032555 ◽

2009 ◽

Vol 89 (26) ◽

pp. 2239-2253 ◽

Author(s):

Y.Z. Chen ◽

X.Y. Lin ◽

X.Z. Wang

Keyword(s):

Integral Equation ◽

Numerical Solution ◽

Crack Problem ◽

Hypersingular Integral Equation ◽

Hypersingular Integral ◽

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Hypersingular integral equation method for three-dimensional crack problem in shear mode

Communications in Numerical Methods in Engineering ◽

10.1002/cnm.685 ◽

2004 ◽

Vol 20 (6) ◽

pp. 441-454 ◽

Author(s):

Y. Z. Chen

Keyword(s):

Integral Equation ◽

Crack Problem ◽

Three Dimensional ◽

Integral Equation Method ◽

Equation Method ◽

Hypersingular Integral Equation ◽

Hypersingular Integral

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Numerical solution of a curved crack problem by using hypersingular integral equation approach

Engineering Fracture Mechanics ◽

10.1016/0013-7944(93)90288-4 ◽

1993 ◽

Vol 46 (2) ◽

pp. 275-283 ◽

Author(s):

Y.Z. Chen

Keyword(s):

Integral Equation ◽

Numerical Solution ◽

Crack Problem ◽

Hypersingular Integral Equation ◽

Equation Approach ◽

Hypersingular Integral ◽

Curved Crack ◽

Integral Equation Approach

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Numerical Solution of a Hypersingular Integral Equation on the Torus

Differential Equations ◽

10.1023/b:dieq.0000012699.92419.d2 ◽

2003 ◽

Vol 39 (9) ◽

pp. 1316-1331 ◽

Author(s):

I. K. Lifanov ◽

L. N. Poltavskii

Keyword(s):

Integral Equation ◽

Numerical Solution ◽

Hypersingular Integral Equation ◽

Hypersingular Integral

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A new solution for the space crack problem from hypersingular integral equation

Applicable Analysis ◽

10.1080/00036818808839818 ◽

1988 ◽

Vol 31 (1-2) ◽

pp. 91-102 ◽

Author(s):

Er-Qian Rong

Keyword(s):

Integral Equation ◽

Crack Problem ◽

Hypersingular Integral Equation ◽

Hypersingular Integral

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Numerical solution of the hypersingular integral equation for the inner Neumann problem

Computational Mathematics and Modeling ◽

10.1007/bf01130298 ◽

1994 ◽

Vol 5 (3) ◽

pp. 224-227

Author(s):

E. V. Zakharov ◽

L. A. Smorchkova

Keyword(s):

Integral Equation ◽

Numerical Solution ◽

Neumann Problem ◽

Hypersingular Integral Equation ◽

Hypersingular Integral

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Numerical Solution of a Surface Hypersingular Integral Equation by Piecewise Linear Approximation and Collocation Methods

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542519060125 ◽

2019 ◽

Vol 59 (6) ◽

pp. 942-957 ◽

Author(s):

A. V. Setukha ◽

A. V. Semenova

Keyword(s):

Integral Equation ◽

Numerical Solution ◽

Linear Approximation ◽

Piecewise Linear ◽

Collocation Methods ◽

Piecewise Linear Approximation ◽

Hypersingular Integral Equation ◽

Hypersingular Integral

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On the numerical solution of a hypersingular integral equation for elastic scattering from a planar crack

IMA Journal of Numerical Analysis ◽

10.1093/imanum/20.4.601 ◽

2000 ◽

Vol 20 (4) ◽

pp. 601-619 ◽

Author(s):

R. Chapko

Keyword(s):

Integral Equation ◽

Elastic Scattering ◽

Numerical Solution ◽

Hypersingular Integral Equation ◽

Hypersingular Integral ◽

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Validity of the hypersingular integral equation of crack problems in three-dimensional elasticity along the crack boundaries

Engineering Fracture Mechanics ◽

10.1016/0013-7944(87)90141-x ◽

1987 ◽

Vol 26 (5) ◽

pp. 783-788 ◽

Author(s):

N.I. Ioakimidis

Keyword(s):

Integral Equation ◽

Three Dimensional ◽

Hypersingular Integral Equation ◽

Hypersingular Integral ◽

Crack Problems ◽

Three Dimensional Elasticity

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Some particular solutions for penny-shaped crack problem by using hypersingular integral equation or differential-integral equation

Archive of Applied Mechanics ◽

10.1007/s004190050164 ◽

1998 ◽

Vol 68 (3-4) ◽

pp. 271-280 ◽

Author(s):

Y. Z. Chen ◽

X. Y. Lin ◽

Z. Q. Peng

Keyword(s):

Integral Equation ◽

Crack Problem ◽

Hypersingular Integral Equation ◽

Hypersingular Integral ◽

Particular Solutions ◽

Penny Shaped Crack ◽

Differential Integral Equation ◽

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