An Asymptotically Consistent Model for Long-Wave High-Frequency Motion in a Pre-Stressed Elastic Plate

DOI10.1177/108128602029660zbMath1062.74018OpenAlexW2111416562WikidataQ57574120 ScholiaQ57574120MaRDI QIDQ4470158

E. V. Nol'de, Graham A. Rogerson, Julius D. Kaplunov

Publication date: 22 June 2004

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

Full work available at URL: https://doi.org/10.1177/108128602029660

zbMATH Keywords

dispersion relationsloss of hyperbolicity

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Plates (74K20) Linear waves in solid mechanics (74J05)

Related Items (6)

Shear waves in an initially stressed elastic plate with periodic corrugations ⋮ Long wave asymptotic integration of the governing equations for a pre-stressed incompressible elastic layer with fixed faces ⋮ Dispersion effects of extensional waves in pre-stressed imperfectly bonded incompressible elastic layered composites ⋮ Small amplitude waves in a pre-stressed compressible elastic layer with one fixed and one free face ⋮ Analysis of the dispersion relation for an incompressible transversely isotropic elastic plate. ⋮ Explicit transfer matrix for an incompressible orthotropic elastic layer and applications

Cites Work

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• An Asymptotic Method to Analyze the Vibrations of an Elastic Layer

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