On the validity of the singular integral equations of crack problems at the crack tips
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Publication:790662
DOI10.1007/BF01170416zbMath0534.73074MaRDI QIDQ790662
Publication date: 1983
Published in: Acta Mechanica (Search for Journal in Brave)
divergent integralequations of first kindfinite-part integralgeneralization to equations of second kindindex equal to 1 at end-points of integration intervalmild continuity assumptionsnatural extrapolation formulastress intensity factors at crack tips
Numerical methods for integral equations (65R20) Brittle damage (74R05) Integral equations with kernels of Cauchy type (45E05)
Related Items (4)
A Generalization of the Concept of Cauchy-Type Principal Value Integrals for Plane Elasticity Crack Problems ⋮ Complex hypersingular integrals and integral equations in plane elasticity ⋮ Hypersingular integrals in plane problems of the theory of elasticity ⋮ Singular loadings in elasticity problems and singular solutions of the corresponding integral equations
Cites Work
- On the natural interpolation formula for Cauchy type singular integral equations of the first kind
- A natural interpolation formula for Cauchy-type singular integral equations with generalized kernels
- A remark on the numerical solution of singular integral equations and the determination of stress-intensity factors
- On Kutt's Gaussian quadrature rule for finite-part integrals
- Generalised functions and divergent integrals
- On convergence of two direct methods for solution of Cauchy type singular integral equations of the first kind
- On quadrature formulas for singular integral equations of the first and the second kind
- Numerical integration methods for the solution of singular integral equations
- On the numerical solution of singular integral equations
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