Resonant-triad instability of a pre-stressed incompressible elastic plate

DOI10.1007/BF00040761zbMath0860.73024OpenAlexW1976741558MaRDI QIDQ1910626

Yibin Fu

Publication date: 23 April 1997

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00040761

zbMATH Keywords

perturbationsevolution equationsresonant interactionnear-neutral modenon-neutral modespost-buckling statesscaled amplitudes

Mathematics Subject Classification ID

Plates (74K20) Stability of dynamical problems in solid mechanics (74H55)

Related Items

Nonlinear Travelling Waves in a Neo-Hookean Plate Subjected to a Simple Shear ⋮ Weakly nonlinear analysis of localized bulging of an inflated hyperelastic tube of arbitrary wall thickness ⋮ The nonlinear evolution of near-neutral and near-body wave modes in a pre-stressed incompressible elastic half-space. I: Upper branch near-neutral modes. II: Lower branch near neutral modes ⋮ A nonlinear stability analysis of an incompressible elastic plate subjected to an all-round tension ⋮ A note on perturbation formulae for the surface-wave speed due to perturbations in material properties ⋮ Propagation of steady nonlinear waves in a coated elastic half-space. ⋮ CHAOTIC MOTION AND HAMILTONIAN DYNAMICS OF A PRESTRESSED INCOMPRESSIBLE ELASTIC PLATE DUE TO RESONANT-TRIAD INTERACTIONS ⋮ Post-buckling of an elastic half-space coated by double layers

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