A semi-analytical method of solving problems of the high-frequency diffraction of elastic waves by cracks

DOI10.1016/J.JAPPMATHMECH.2013.11.014zbMath1432.74090OpenAlexW2052924940MaRDI QIDQ1789264

M. Yu. Remizov, Sumbatyan, Mezhlum A.

Publication date: 10 October 2018

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jappmathmech.2013.11.014

Mathematics Subject Classification ID

Brittle fracture (74R10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Linear waves in solid mechanics (74J05)

Related Items (2)

Spatial problem of elastic wave penetration across two parallel double periodic arrays of cracks ⋮ Asymptotic analysis in the anti-plane high-frequency diffraction by interface cracks

Cites Work

• A semi-analytical approach in the high-frequency diffraction by cracks
• Asymptotic methods in the mechanics of continuous media: Problems with mixed boundary conditions
• A dynamic contact problem for an elastic half-plane in the case of high frequency oscillations
• On direct numerical treatment of hypersingular integral equations arising in mechanics and acoustics
• An efficient representation for kernels in the 2d dynamic displacement discontinuity method for cracked elastic materials
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