Stability of a thick elastic plate under thrust

DOI10.1007/BF00043707zbMath0486.73041OpenAlexW4242585679MaRDI QIDQ1165057

Kenneth N. Sawyers, Ronald S. Rivlin

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf00043707

zbMATH Keywords

stablebifurcationsrectangular plateenergy criterionunstablepure homogeneous deformationagreement with classical Euler theorycritical state corresponding to lowest order flexural modecritical values of compression ratioflexural or barreling typesincompressible neo-Hookean elastic materialstates of neutral equilibriumsubjected to thrustwithout restriction on thickness of plate

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) Stability of dynamical problems in solid mechanics (74H55) Bifurcation and buckling (74G60)

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Cites Work

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• Bifurcation conditions for a thick elastic plate under thrust
• Exact theory of buckling of a thick slab