DOIONLINE 
DOIONLINE Publish In |
International Journal of Management and Applied Science (IJMAS)-IJMAS |
 Journal Home Volume Issue |
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Issue |
Volume-4,Issue-9 ( Sep, 2018 ) | |||||||||
Paper Title |
Wkb Solution and The Buckling Analysis of a Neo-Hookean Elastic Cylindrical Shell | |||||||||
Author Name |
Murteza Sanjaranipour | |||||||||
Affilition |
Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran | |||||||||
Pages |
80-85 | |||||||||
Abstract |
The deformation of a thick-walled circular cylindrical shell of incompressible, isotropic, elastic material is considered. The shell, which is made of neo-Hookean strain energy function is subjected to the combined internal and axial loading pressures. For finding the eigen-values which are = / and = / (where and are the un-deformed and and are the deformed inner and outer radii respectively), the incremental equilibrium equations derived by Haughton and Ogden are solved with the asymptotic WKB method. Finally we have shown the eigen-values by plotting the radius changes with respect to the wall thickness. Our derived asymptotic results are similar to the counter-part data obtained by using the numerical compound matrix method. Keywords: Compound Matrix method, Eigen-values, neo-Hookean material, WKB method. | |||||||||
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