The general type of finite-part singular integrals and integral equations with logarithmic singularities used in fracture mechanics

DOI10.1007/BF01174641zbMath0667.73072MaRDI QIDQ1117755

E. G. Ladopoulos

Publication date: 1988

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

Gauss methodquadrature rulescollocation pointsintegral equations of the first kindLobatto methodinfinite, isotropic solidintensity of the logarithmic singularityRadau methodreduction to a system of linear equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical quadrature and cubature formulas (65D32) Brittle damage (74R05) Singular nonlinear integral equations (45G05)

Related Items (5)

Complex hypersingular integrals and integral equations in plane elasticity ⋮ On Approximate Solutions of Linear and Nonlinear Singular Integral Equations ⋮ Non-linear singular integral approximations in banach spaces ⋮ Existence and uniqueness for nonlinear singular integral equations used in fluid mechanics ⋮ Approximations of singular integral equations on Lyapunov contours in Banach spaces

Cites Work

• On the numerical solution of the finite-part singular integral equations of the first and second kind used in fracture mechanics
• Solution of plane anisotropic elastostatical boundary value problems by singular integral equations
• Cauchy-type integrals and integral equations with logarithmic singularities
• [https://portal.mardi4nfdi.de/wiki/Publication:3214283 Numerical Construction of Gaussian Quadrature Formulas for � � 1 0   (-Log x)⋅x α ⋅f(x) ⋅dx     and     � � ∞ 0 E m (x) ⋅f(x) ⋅dx]
• On a new integration rule with the Gegenbauer polynomials for singular integral equations used in the theory of elasticity
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