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- W2950985341 abstract "Hypersingular integrals of the type $I_{alpha}(T_n,m,r) = int_{-1}^{1} hpsngAbs frac{T_n(s)(1-s^2)^{m-{1/2}}}{(s-r)^alpha}ds |r| 4$ and $m>3$ is provided. The integrals are also evaluated as $|r|>1$ in order to calculate stress intensity factors (SIFs). Examples involving crack problems are given and discussed with emphasis on the linkage between mathematics and mechanics of fracture. The examples include classical linear elastic fracture mechanics (LEFM), functionally graded materials (FGM), and gradient elasticity theory. An appendix, with closed form solutions for a broad class of integrals, supplements the paper." @default.
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- W2950985341 date "1999-06-09" @default.
- W2950985341 modified "2023-09-27" @default.
- W2950985341 title "Integral Equations with Hypersingular Kernels -- Theory and Applications to Fracture Mechanics" @default.
- W2950985341 hasPublicationYear "1999" @default.
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