The dynamical behaviour of nonlinear elastic spherical shells

DOI10.1007/BF00041312zbMath0514.73104OpenAlexW2085064593MaRDI QIDQ1051509

M. Carme Calderer

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf00041312

zbMATH Keywords

homogeneousincompressibleisotropichyperelasticconstant pressure difference between inner and outer surfaceslarge radial motionthick, spherical and cylindrical shells

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Shells (74K25) Dynamical problems in solid mechanics (74H99)

Related Items (23)

Radial motions of viscoelastic shells ⋮ On Non-Linear Radial Oscillations of an Incompressible, Hyperelastic Spherical Shell ⋮ Dynamical formation of cavity in a composed hyper-elastic sphere ⋮ Forced radial motions of nonlinearly viscoelastic shells ⋮ Radial oscillations of thin cylindrical and spherical shells: investigation of Lie point symmetries for arbitrary strain-energy functions ⋮ Применение метода дифференцирования по параметру в решении нелинейных задач стационарной динамики осесимметричных мягких оболочек ⋮ Finite time blow-up and stability properties of materials with fading memory ⋮ Some qualitative properties of incompressible hyperelastic spherical membranes under dynamic loads ⋮ Radially symmetric motions of nonlinearly viscoelastic bodies under live loads ⋮ Rotationally symmetric motions and their blowup for incompressible nonlinearly elastic and viscoelastic annuli ⋮ Likely cavitation and radial motion of stochastic elastic spheres ⋮ Cavitation in nonlinear elastodynamics for neo-Hookean materials ⋮ The inflation of viscoelastic balloons and hollow viscera ⋮ Qualitative analysis of dynamical behavior for an imperfect incompressible neo-Hookean spherical shell ⋮ Dynamical formation of cavity for composed thermal hyperelastic spheres in non-uniform temperature fields ⋮ Dynamical modeling and analysis of hyperelastic spherical shells under dynamic loads and structural damping ⋮ Void collapse in an elastic solid ⋮ Some interesting nonlinear dynamic behaviors of hyperelastic spherical membranes subjected to dynamic loads ⋮ Weakly Nonlinear Oscillations Superimposed on Finite Circumferential Shear of a Compressible, Nonlinear, Viscoelastic, Isotropic Material ⋮ Dynamical response of hyper-elastic cylindrical shells under periodic load ⋮ Phenomena of Bifurcation and Chaos in the Dynamically Loaded Hyperelastic Spherical Membrane Based on a Noninteger Power-Law Constitutive Model ⋮ Discontinuous energy minimizers in nonlinear elastostatics: An example of J. Ball revisited ⋮ Vibration of an incompressible viscoelastic shell of rate type

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• On the thermostatics of continuous media
• Large amplitude oscillations of a tube of incompressible elastic material
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• Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids

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