Asymptotic approach in the dynamic problems of the theory of elasticity for bodies with thin elastic inclusions

DOI10.1007/s10958-023-06334-zOpenAlexW4324374556MaRDI QIDQ2696662

V. V. Matus, Ya. I. Kunets

Publication date: 17 April 2023

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

Full work available at URL: https://doi.org/10.1007/s10958-023-06334-z

zbMATH Keywords

singular perturbationinverse problemnull-field methodcontact modeldynamic loadfiller compositematched asymptotic expansion elastic wave

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Inhomogeneity in solid mechanics (74E05) Composite and mixture properties (74E30) Wave scattering in solid mechanics (74J20) Inverse problems for waves in solid mechanics (74J25)

Related Items (1)

Influence of a thin metal interlayer on the propagation of Bleustein-Gulyaev-type waves in peizoelectric bodies

Cites Work

• Integral equations of the problem of torsion of an elastic body with a thin disc-like inclusion
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• Modified null field method in a problem of scattering of SH-waves by a partially debonded elastic inclusion with a piecewise smooth contour
• Asymptotic phenomena in mathematical physics
• A SINGULAR INTEGRAL EQUATION WITH SMALL PARAMETER ON A FINITE INTERVAL
• Matrix theory of elastic wave scattering
• New Formulation of Acoustic Scattering
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