Two-mode long-wave low-frequency approximations for anti-plane shear deformation of a high-contrast asymmetric laminate

DOI10.1007/978-3-030-77310-6_24zbMath1487.74058OpenAlexW4205112356MaRDI QIDQ2073896

Ludmila Prikazchikova, Mohammed Alkinidri, Julius D. Kaplunov

Publication date: 8 February 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-77310-6_24

zbMATH Keywords

dispersion relationanti-plane problemasymmetric wavehigh-contrast laminatetwo-mode uniform asymptotic solution

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Composite and mixture properties (74E30) Linear waves in solid mechanics (74J05)

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Cites Work

• An asymptotic theory of sandwich plates
• Plane vibrations and radiation of an elastic layer lying on a liquid half-space
• Generalized plate model for highly contrasted laminates
• Direct asymptotic integration of the equations of transversely isotropic elasticity for a plate near cut-off frequencies
• Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate
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