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On the use of interpolative quadratures for hypersingular integrals in fracture mechanics

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Publication:4804028
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DOI10.1098/rspa.2002.1001zbMath1019.74041OpenAlexW2154399301MaRDI QIDQ4804028

Alexander M. Korsunsky

Publication date: 9 April 2003

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2002.1001


zbMATH Keywords

Jacobi polynomialsannular crackstress-intensity factorshypersingular boundary integralsGauss-Jacobi interpolative quadraturehypersingular Gaussian quadrature


Mathematics Subject Classification ID

Brittle fracture (74R10) Stress concentrations, singularities in solid mechanics (74G70)


Related Items

Superconvergence of the composite Simpson's rule for a certain finite-part integral and its applications ⋮ Mechanics of tunnelling cracks in trilayer elastic materials in tension ⋮ Clenshaw-Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels ⋮ Euler-Maclaurin expansions and approximations of hypersingular integrals



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