Stress state near cracks originating from the edges of a thin rigid inclusion caused by the action of longitudinal shear waves

DOI10.1007/S10958-023-06819-XOpenAlexW4389954153MaRDI QIDQ6187905

A. S. Misharin, V. G. Popov

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06819-x

zbMATH Keywords

stress intensity factorharmonic wavefixed singularitysingular integrodifferential equation

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Brittle fracture (74R10) Vibrations in dynamical problems in solid mechanics (74H45) Inhomogeneity in solid mechanics (74E05) Linear waves in solid mechanics (74J05)

Cites Work

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• Singular integral equation method for 2D fracture analysis of orthotropic solids containing doubly periodic strip-like cracks on rectangular lattice arrays under longitudinal shear loading
• Scattering of a Rayleigh wave by a near surface crack which is normal to the free surface
• A Crack in the Form of a Three-Link Broken Line Under The Action of Longitudinal Shear Waves

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