Breathing motions and loss of stability of pre-stressed compressible hyperelastic cylindrical shells

DOI10.1016/S0020-7225(97)00039-6zbMath0902.73038OpenAlexW2064678409MaRDI QIDQ1388334

Ugurhan Akyuz, Aybar Ertepinar

Publication date: 11 June 1998

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

Full work available at URL: https://doi.org/10.1016/s0020-7225(97)00039-6

zbMATH Keywords

radial vibrationspolynomial compressible materialuniform dead load traction

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Stability of dynamical problems in solid mechanics (74H55) Bifurcation and buckling (74G60) Membranes (74K15)

Cites Work

• Unnamed Item
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• On the status of St.-Venant's solutions as minimizers of energy
• Void nucleation and growth for compressible non-linearly elastic materials: An example
• Stability and vibration of pre-stressed compressible elastic plates
• Stability and vibrations of elastic thick-walled cylindrical and spherical shells subjected to pressure
• Critical stretch for formation of a cylindrical void in a compressible hyperelastic material
• Plane strain problems for a perfectly elastic material of harmonic type
• ON NON-EXISTENCE OF CAVITATION IN INCOMPRESSIBLE ELASTIC MEMBRANES
• General theory of small elastic deformations superposed on finite elastic deformations

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