An exact solution of the 3-D problem of an interface semi-infinite plane crack

DOI10.1016/S0022-5096(98)00096-9zbMath0954.74051OpenAlexW2092648687WikidataQ126982229 ScholiaQ126982229MaRDI QIDQ1975866

Yuri A. Antipov

Publication date: 18 February 2001

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-5096(98)00096-9

zbMATH Keywords

crack mechanicsintegral transformsstress intensity factorsanalytic functionsweight functionsinhomogeneous material\(3\times 3\) matrix Wiener-Hopf problemsemi-infinite plane interface crackthree-dimensional isotropic half-spaces

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Brittle fracture (74R10) Stress concentrations, singularities in solid mechanics (74G70) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (11)

Perturbation of mode III interfacial cracks ⋮ Fundamental solution and the weight functions of the transient problem on a semi‐infinite crack propagating in a half‐plane ⋮ Integral identities for a semi-infinite interfacial crack in 2D and 3D elasticity ⋮ Stroh formalism in analysis of skew-symmetric and symmetric weight functions for interfacial cracks ⋮ The Baker-Akhiezer function and factorization of the Chebotarev-Khrapkov matrix ⋮ High-order asymptotics and perturbation problems for 3D interfacial cracks ⋮ Mixed‐mode stress intensity factors of a three‐dimensional crack in a bonded bimaterial ⋮ Symmetric and skew-symmetric weight functions in 2D perturbation models for semi-infinite interfacial cracks ⋮ On the commutative factorization of n × n matrix Wiener–Hopf kernels with distinct eigenvalues ⋮ The deformation of the front of a 3D interface crack propagating quasistatically in a medium with random fracture properties ⋮ Evaluation of the Lazarus-Leblond constants in the asymptotic model of the interfacial wavy crack

Cites Work

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