Hypersingular integrals in plane problems of the theory of elasticity

DOI10.1016/0021-8928(90)90094-QzbMath0738.73010OpenAlexW2063859387MaRDI QIDQ1180305

Aleksandr M. Linkov, Sofia G. Mogilevskaya

Publication date: 27 June 1992

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(90)90094-q

zbMATH Keywords

integral equationsboundary elementsaccuracy of computationsbody with cracksmethod of discontinuous displacement

Mathematics Subject Classification ID

Related Items (12)

Scattering of water waves by a pair of vertical porous plates ⋮ A method of finding asymptotic forms at the common apex of elastic wedges ⋮ Three-dimensional problems in the dynamic fracture mechanics of materials with interface cracks (review) ⋮ Two-dimensional problem of an Infinite matrix reinforced with a Steigmann-Ogden cylindrical surface of circular arc cross-section ⋮ Complex variable boundary element method for elasticity problems with constant body force ⋮ Numerical solutions of hypersingular integral equation for curved cracks in circular regions ⋮ The complex variable fast multipole boundary element method for the analysis of strongly inhomogeneous media ⋮ Revisit of the equivalence of the displacement discontinuity method and boundary element method for solving crack problems ⋮ SOLUTION OF CONTACT PROBLEM FOR AN ARC CRACK USING HYPERSINGULAR INTEGRAL EQUATION ⋮ Complex potentials and integral equations for curved crack and curved rigid line problems in plane elasticity ⋮ SINGULAR INTEGRAL EQUATION METHOD FOR MULTIPLE CURVED EDGE CRACKS EMANATING FROM BOUNDARY OF HALF-PLANE ⋮ Integral equations for a thin inclusion in a homogeneous elastic medium

Cites Work

• Finite-part integrals in problems of three-dimensional cracks
• On the validity of the singular integral equations of crack problems at the crack tips
• On the problem of a three-dimensional crack in an anisotropic elastic medium
• Applications of finite-part integrals to the singular integral equations of crack problems in plane and three-dimensional elasticity
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