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

Date

1997-11-01

Author

Akyüz, Uğurhan

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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

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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.