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Stability and breathing motions of pressurized compressible hyperelastic spherical shells
Date
2001-10-18
Author
Akyüz, Uğurhan
Ertepinar, A
Metadata
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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The stability of homogeneous, isotropic, compressible, hyperelastic, thick spherical shells subjected to external dead-load traction are investigated within the context of the finite elasticity theory. 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 frequencies of small free vibrations about the pre-stressed state are obtained numerically. The loss of stability occurs when the motions cease to be periodic. The critical values of stress and deformation are given for a foam rubber, slightly compressible rubber and a nearly incompressible rubber. (C) 2001 Academic Press.
Subject Keywords
Mechanical Engineering
,
Acoustics and Ultrasonics
,
Mechanics of Materials
,
Condensed Matter Physics
URI
https://hdl.handle.net/11511/63227
Journal
JOURNAL OF SOUND AND VIBRATION
DOI
https://doi.org/10.1006/jsvi.2001.3730
Collections
Department of Civil Engineering, Article