Stability and vibration of pre-stressed compressible elastic plates

DOI10.1016/0020-7225(94)90133-3zbMath0801.73046OpenAlexW2027861929MaRDI QIDQ1321963

D. G. Roxburgh, Ray W. Ogden

Publication date: 26 May 1994

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(94)90133-3

zbMATH Keywords

frequencyisotropic materialstability criteriahomogeneous pure strainstrain- energy function

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Stability of dynamical problems in solid mechanics (74H55)

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Cites Work

• Buckling and barrelling instabilities in finite elasticity
• Bifurcation phenomena in the plane tension test
• Wave propagation in thin pre-stressed elastic plates
• Plate waves in Hadamard materials
• The effect of pre-stress on the vibration and stability of elastic plates
• Bifurcation conditions for a thick elastic plate under thrust
• Stability of a compressed neo-Hookean rectangular parallelepiped
• The instability of slightly compressible rectangular rubberlike solids under biaxial loadings
• Interfacial waves and deformations in pre-stressed elastic media
• On Surface Waves and Deformations in a Pre-stressed Incompressible Elastic Solid
• On the theory of plane strain in finitely deformed compressible materials
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