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References (6)
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N. Muskhelishvili, C. Gerretsen, M. Naimark, Normed Rings (1953)
Some basic problems of the mathematical theory of elasticity -
N. Muskhelishvili (1977)
Singular Integral Equations -
M. Isida (1970)
On the determination of stress intensity factors for some common structural problemsEngineering Fracture Mechanics, 2
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S. Krenk (1975)
On the use of the interpolation polynomial for solutions of singular integral equationsQuarterly of Applied Mathematics, 32
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(1959)
On Numerical Approximation -
M. Abramowitz, I. Stegun, D. Mcquarrie (1966)
Handbook of Mathematical Functions.American Mathematical Monthly, 73
- Publisher
- Springer Journals
- Copyright
- Copyright
- Subject
- Engineering; Theoretical and Applied Mechanics; Classical and Continuum Physics; Engineering Fluid Dynamics; Computational Intelligence
- ISSN
- 0567-7718
- eISSN
- 1614-3116
- DOI
- 10.1007/BF02487881
- Publisher site
- See Article on Publisher Site
Abstract
The problem of cracks with an elliptic hole in an infinite plane is investigated. By introducing the fictitious loads on the hole edge and using the Muskhelishvili method, the problem is reduced to solving a system of mixed-type integral equations in which some are Fredholm equations but others Cauchy-type singular ones. A numerical method is suggested and can be used for the treatment of other similar equations. The numerical results for some typical examples are given, showing that the method is really effective.
Journal
Acta Mechanica Sinica – Springer Journals
Published: Aug 12, 2006