On the numerical solution of the finite-part singular integral equations of the first and second kind used in fracture mechanics

DOI10.1016/0045-7825(87)90159-9zbMath0626.73111OpenAlexW2074038484MaRDI QIDQ581104

E. G. Ladopoulos

Publication date: 1987

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(87)90159-9

zbMATH Keywords

stress fieldplaneantiplane elasticitycrack parallel to the free boundaryelastic isotropic semiplanefinite-part singular integral equationsfirst and the second kindgeneral kernelsPlemelej formulas

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Dynamical problems in solid mechanics (74H99) Brittle damage (74R05) Elastic materials (74B99) Integral equations with kernels of Cauchy type (45E05)

Related Items

Nonlinear singular integral equations in elastodynamics by using Hilbert transformations ⋮ The general type of finite-part singular integrals and integral equations with logarithmic singularities used in fracture mechanics ⋮ On Approximate Solutions of Linear and Nonlinear Singular Integral Equations ⋮ Non-linear singular integral approximations in banach spaces ⋮ Two trigonometric quadrature formulae for evaluating hypersingular integrals ⋮ Existence and uniqueness for nonlinear singular integral equations used in fluid mechanics ⋮ Approximations of singular integral equations on Lyapunov contours in Banach spaces

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