Anti-symmetric motion of a pre-stressed incompressible elastic layer near shear resonance

DOI10.1023/A:1015293700959zbMath1022.74016OpenAlexW2101446318MaRDI QIDQ1851046

Graham A. Rogerson, Aleksey V. Pichugin

Publication date: 15 December 2002

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015293700959

zbMATH Keywords

dispersionasymptotic integrationhyperbolic equationnegative group velocityanti-symmetric motionincremental pressureinfinitesimal displacement componentslong-wave amplitudepre-stressed incompressible elastic platesecond-order solutionshear resonance frequencies

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Bulk waves in solid mechanics (74J10) Plates (74K20)

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