International Journal of Management and Applied Science (IJMAS)
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Volume-4,Issue-10  ( Oct, 2018 )
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Statistics report
Jan. 2019
Submitted Papers : 80
Accepted Papers : 10
Rejected Papers : 70
Acc. Perc : 12%
Issue Published : 56
Paper Published : 3637
No. of Authors : 7479
  Journal Paper




Paper Title :
Wkb Solution and The Buckling Analysis of a Neo-Hookean Elastic Cylindrical Shell

Author :Murteza Sanjaranipour

Article Citation :Murteza Sanjaranipour , (2018 ) " Wkb Solution and The Buckling Analysis of a Neo-Hookean Elastic Cylindrical Shell " , International Journal of Management and Applied Science (IJMAS) , pp. 80-85, Volume-4,Issue-9

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.

Type : Research paper

Indexed : Google Scholar


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