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

Date

1997-11-01

Author

Akyüz, Uğurhan

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

162
views

0
downloads

The stability and breathing motions about finitely deformed states of cylindrical shells of arbitrary wall thickness subjected to uniform dead load traction are investigated. The material is assumed to be a polynomial compressible material which is homogeneous, isotropic and hyperelastic. The stability of the finitely deformed state and small, free, radial vibrations about this state are investigated using the theory of small deformations superposed on large elastic deformations. The loss of stability occurs when the motions cease to be periodic. Numerical results are provided to study the effect of several geometric and material parameter. (C) 1997 Elsevier Science Ltd.

Subject Keywords

Nonlinearly elastic medium, Cavitation, Membranes,

URI

https://hdl.handle.net/11511/63254

Journal

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

DOI

https://doi.org/10.1016/s0020-7225(97)00039-6

Collections

Department of Civil Engineering, Article

Suggestions

OpenMETU
Core

Stability and asymmetric vibrations of pressurized compressible hyperelastic cylindrical shells Akyüz, Uğurhan (1999-05-01) Cylindrical shells of arbitrary wall thickness subjected to uniform radial tensile or compressive dead-load traction are investigated. The material of the shell is assumed to be homogeneous, isotropic, compressible and hyperelastic. The stability of the finitely deformed state and small, free, radial vibrations about this state are investigated using the theory of small deformations superposed on large elastic deformations. The governing equations are solved numerically using both the multiple shooting meth...
Symmetric and asymmetric vibrations of cylindrical shells Akyüz, Uğurhan (2005-09-09) The stability of cylindrical shells of arbitrary wall thickness subjected to uniform radial tensile or compressive dead-load traction is investigated. The material of the shell is assumed to be a polynomial compressible material which is homogeneous, isotropic, and hyperelastic. The governing equations are solved numerically using the multiple shooting method. The loss of stability occurs when the motions cease to be periodic. The effects of several geometric and material properties on the stress and the de...
Frictional sliding modes along an interface between identical elastic plates subject to shear impact loading Çöker, Demirkan; Needleman, A.; Rosakis, A.J. (2005-04-01) Frictional sliding along an interface between two identical isotropic elastic plates under impact shear loading is investigated experimentally and numerically. The plates are held together by a compressive stress and one plate is subject to edge impact near the interface. The experiments exhibit both a crack-like and a pulse-like mode of sliding. Plane stress finite element calculations modeling the experimental configuration are carried out, with the interface characterized by a rate and state dependent fr...
Analysis of perfectly matched double negative layers via complex coordinate transformations Kuzuoğlu, Mustafa (2006-12-01) Complex coordinate transformations are introduced for the analysis of time-harmonic electromagnetic wave propagation in perfectly matched double negative layers. The layer is perfectly matched to free space in the sense that any incident plane wave is transmitted through the free space-material interface without reflection, irrespective of the frequency and angle of incidence of the plane wave. The material constitutive parameters are obtained by mapping spatial coordinates into a manifold in complex space....
MHD natural convection flow in a porous cavity Bozkaya, Canan (null; 2018-09-13) A numerical investigation of natural convection flow in a cavity filled with a fluid-saturated porous medium in the presence of uniform magnetic field is performed. The steady, viscous, incompressible flow inside the porous medium is assumed to obey the Darcy law. The fluid physical properties are constant except the density in the body force term which is treated according to Boussinesq approximation. The fluid and porous medium are in thermal equilibrium. The governing equations subject to appropriate bou...

Citation Formats

U. Akyüz, “Breathing motions and loss of stability of pre-stressed compressible hyperelastic cylindrical shells,” INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, pp. 1265–1275, 1997, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63254.