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Dynamic expansion of a compressible hyperelastic spherical shell
J. B. Haddow,A. Mioduchowski +1 more
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In this article, the finite spherically symmetric motion of a compressible hyperelastic spherical shell, subjected to a spatially uniform step funtion application of pressure at its inner surface, is investigated.Abstract:
This paper is concerned with the finite spherically symmetric motion of a compressible hyperelastic spherical shell, subjected to a spatially uniform step funtion application of pressure at its inner surface. A method, given in a previous paper [1], for the determination of the field of characteristics, for expansion of a spherical cavity in an unbounded solid is adapted to consider the spherical shell problem. Results are presented graphically for a particular strain energy function and are compared with results obtained for an incompressible material and from linear elasticity theory.read more
Citations
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Thermal stresses in a rotating non-homogeneous orthotropic hollow cylinder
TL;DR: In this article, the radial deformation and the corresponding stresses in a non-homogeneous hollow elastic cylinder rotating about its axis with a constant angular velocity are investigated, and the results indicate that the effect of inhomogeneity is very pronounced.
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Magneto-thermoelastic problem in non-homogeneous isotropic cylinder
TL;DR: In this paper, the authors investigated the effects of inhomogeneity and magnetic field on an isotropic elastic cylinder in a primary magenetic field when the curved surface of the cylinder subject to certain boundary conditions.
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Nonlinear axisymmetric vibrations of a hyperelastic orthotropic cylinder
TL;DR: In this paper, a large-amplitude axisymmetric free vibrations of an incompressible nonlinear elastic cylindrical structure is modeled using the theory of a generalized Cosserat membrane, which allows for finite deformations along the longitudinal axis of the structure.
Journal ArticleDOI
Oscillatory behaviour of compressible hyperelastic shells subjected to dynamic inflation: a numerical study
TL;DR: In this paper, the role of material compressibility in the oscillatory behavior of hyperelastic spherical shells subjected to dynamic inflation was investigated using MATLAB and ABAQUS/Explicit.
Journal ArticleDOI
Finite amplitude spherically symmetric wave propagation in a compressible hyperelastic solid
TL;DR: In this article, the authors investigated the wave propagation of the spherically symmetric expansion of a thick walled hyperelastic shell and the limiting case of a cavity in an unbounded medium, assuming that the shell is isotropic and uniform in the natural reference state and its strain energy function is a particular compressible generalization of that for the neo-Hookean solid.
References
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Journal ArticleDOI
A Unified Approach to Cylindrical and Spherical Elastic Waves by Method of Characteristics
Pei Chi Chou,H. A. Koenig +1 more
TL;DR: In this paper, a unified approach to propagation of plane, cylindrical and spherical dilation waves in elastic media, using method of characteristics, is presented, and the propagation is described.
Journal ArticleDOI
On the radial oscillations of a spherical thin shell in the finite elasticity theory
Journal ArticleDOI
Vibration analysis of thick‐walled spheres and cylinders
TL;DR: In this paper, a wave propagation approach is employed to determine the fundamental frequency of hollow spheres and long hollow cylinders, as a function of the number of wave reflections off the inner and outer surfaces as well as the thickness to inside radius ratios (h/Ri).
Journal ArticleDOI
Analysis of expansion of spherical cavity in unbounded hyperelastic medium by method of characteristics
J. B. Haddow,A. Mioduchowski +1 more
TL;DR: In this article, the finite spherically symmetric dynamic expansion of a spherical cavity in an unbounded isotropic compressible hyperelastic solid is analyzed by the method of characteristics.
Journal ArticleDOI
Finite expansion of a thick compressible spherical elastic shell
J.B. Haddow,M.G. Faulkner +1 more
TL;DR: In this paper, a method is proposed for the analysis of the finite symmetrical expansion due to internal pressure, of a thick-walled sphere of compressible hyperelastic material.
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