Finite-part integrals in problems of three-dimensional cracks

DOI10.1016/0021-8928(86)90041-9zbMath0626.73110OpenAlexW1570495815MaRDI QIDQ581103

Sofia G. Mogilevskaya, Aleksandr M. Linkov

Publication date: 1986

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(86)90041-9

zbMATH Keywords

boundary integral equationpolynomialstransformationelastic spaceapproximating displacement discontinuitiesarbitrary convex polygonsconcept of finite-part integralscurvilinear surfaceequation without derivativesinitial integrodifferential equationQuadratic formulas

Mathematics Subject Classification ID

Brittle damage (74R05) Numerical and other methods in solid mechanics (74S99)

Related Items (10)

Numerical evaluation of hypersingular integrals ⋮ Closed-form solutions for finite-part integrals occurring in shear-mode fracture mechanics ⋮ Regularization of hypersingular integrals in 3-D fracture mechanics: triangular BE, and piecewise-constant and piecewise-linear approximations ⋮ Complex variables boundary element analysis of three-dimensional crack problems ⋮ Hypersingular integrals in plane problems of the theory of elasticity ⋮ Crack edge element of three-dimensional displacement discontinuity method with boundary division into triangular leaf elements ⋮ Numerical solution of three-dimensional crack problem by using hypersingular integral equation ⋮ Boundary integral equation method for conductive cracks in two and three-dimensional transversely isotropic piezoelectric media ⋮ Accuracy optimal methods for evaluating hypersingular integrals ⋮ Integral equations for a thin inclusion in a homogeneous elastic medium

Cites Work

• Applications of finite-part integrals to the singular integral equations of crack problems in plane and three-dimensional elasticity
• An integral equations method for solving the problem of a plane crack of arbitrary shape
• Three-dimensional crack analysis
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