Dynamical response of hyper-elastic cylindrical shells under periodic load

DOI10.1007/s10483-008-1007-xzbMath1235.74147OpenAlexW2095140461MaRDI QIDQ1030304

Jiu-Sheng Ren

Publication date: 1 July 2009

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-008-1007-x

zbMATH Keywords

fixed pointquasi-periodic oscillationcritical internal load

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Stability of dynamical problems in solid mechanics (74H55) Shells (74K25)

Related Items (5)

Применение метода дифференцирования по параметру в решении нелинейных задач стационарной динамики осесимметричных мягких оболочек ⋮ A variational differential quadrature solution to finite deformation problems of hyperelastic shell-type structures: a two-point formulation in Cartesian coordinates ⋮ Some qualitative properties of incompressible hyperelastic spherical membranes under dynamic loads ⋮ Nonlinear periodic oscillation of a cylindrical microvoid centered at an isotropic incompressible Ogden cylinder ⋮ Stability analysis of radial inflation of incompressible composite rubber tubes

Cites Work

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• Dynamics of biological soft tissue and rubber: internally pressurized spherical membranes surrounded by a fluid
• Elastic instabilities in rubber
• The dynamical behaviour of nonlinear elastic spherical shells
• Bifurcation of inflated circular cylinders of elastic material under axial loading - II. Exact theory for thick-walled tubes
• On the incremental equations in non-linear elasticity - II. Bifurcation of pressurized spherical shells
• Static and dynamical cavitation for incompressible hyperelastic-plastic material

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