A low-frequency model for dynamic motion in pre-stressed incompressible elastic structures

DOI10.1098/RSPA.2000.0627zbMath1049.74583OpenAlexW2006905026WikidataQ57574134 ScholiaQ57574134MaRDI QIDQ2748060

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

Publication date: 2000

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2000.0627

zbMATH Keywords

asymptotic analysis

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

Related Items (12)

The Transition between Neumann and Dirichlet Boundary Conditions in Isotropic Elastic Plates ⋮ Long wave asymptotic integration of the governing equations for a pre-stressed incompressible elastic layer with fixed faces ⋮ A non-local asymptotic theory for thin elastic plates ⋮ Small amplitude waves in a pre-stressed compressible elastic layer with one fixed and one free face ⋮ Composite dynamic models for periodically heterogeneous media ⋮ Long-wave dispersion phenomena in a layer subject to elastically restrained boundary conditions ⋮ A long-wave model for the surface elastic wave in a coated half-space ⋮ A bending quasi-front generated by an instantaneous impulse loading at the edge of a semi-infinite pre-stressed incompressible elastic plate ⋮ Extensional edge waves in pre-stressed incompressible plates ⋮ Analysis of the dispersion relation for an incompressible transversely isotropic elastic plate. ⋮ Explicit transfer matrix for an incompressible orthotropic elastic layer and applications ⋮ Bending, buckling and free vibration analysis of incompressible functionally graded plates using higher order shear and normal deformable plate theory

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