The second fundamental crack problem and the rigid line inclusion problem in plane elasticity

DOI10.1007/BF01176257zbMath0417.73084MaRDI QIDQ755383

Nikolaos I. Ioakimidis, Pericles S. Theocaris

Publication date: 1979

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

zbMATH Keywords

complex potentialsplane elasticitycomplex Cauchy type singular integral equationcracked infinite mediumLobatto- Chebyshev methodplane isotropic elasticityrigid line inclusion problemsecond fundamental problem

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Brittle damage (74R05) Integral equations with kernels of Cauchy type (45E05)

Related Items (5)

Interaction between two internal collinear cracks and a circular inclusion under longitudinal shear ⋮ The flat inclusion problem in bonded dissimilar anisotropic elastic media under longitudinal shear loading ⋮ Application of the method of singular integral equations to elasticity problems with concentrated loads ⋮ Elastic equilibrium of an isotropic plate with a thin curvilinear elastic inclusion ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:3680441 Antiplane shear crack in an infinite plate with a circular inclusion;Nichtebener Schubspannungsri� in einer unendlichen Platte mit einem kreisf�rmigen Einschlu�]

Cites Work

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• Doubly-periodic array of cracks in an infinite isotropic medium
• A method of solution of the problem of the unsymmetric cruciform crack in an infinite plane isotropic elastic medium
• The V-notched elastic half-plane problem
• The problem of interaction between a misfitting inclusion and a crack in an infinite elastic medium
• The problem of the simple smooth crack in an infinite anisotropic elastic medium
• Stresses near a flat inclusion in bonded dissimilar materials
• Some ribbon-like inclusion problems
• Numerical solution of Cauchy type singular integral equations by use of the Lobatto-Jacobi numerical integration rule
• Numerical integration methods for the solution of singular integral equations
• A Star-Shaped Array of Curvilinear Cracks in an Infinite Isotropic Elastic Medium
• THE INCLUSION PROBLEM IN PLANE ELASTICITY

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