Research Journal of Applied Sciences

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Asymptotic Analysis of the Boundary Layerby Matching the WKB Solutions of the Inner and Outer Layers of a Neo-Hookean Cylindrical Shell

Nasrin Hamidi, Majid Pazand and Taherh Shokuhi
Page: 1545-1552 | Received 21 Sep 2022, Published online: 21 Sep 2022

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Abstract

We analyzed and compared the asymptotic outer, inner and the matching solutions with the numerical counterpart results of the eigen-value problem of a neo-Hookean elastic cylindrical shell of arbitrary thicknesses subjected to an external hydrostatic pressure. In order to study thin-walled shells (i.e., a thin layer between the two regions A1-1 = O(1) and A1-1 = O(1/n), where A1 and a1 are the inner radii of the shell before and after deformation respectively on 0i/A1. For analyzing thin-walled shells, the theory of boundary layer and also Van Dyke’s 1 matching rule has been employed.

How to cite this article:

Nasrin Hamidi, Majid Pazand and Taherh Shokuhi. Asymptotic Analysis of the Boundary Layerby Matching the WKB Solutions of the Inner and Outer Layers of a Neo-Hookean Cylindrical Shell.
DOI: https://doi.org/10.36478/rjasci.2016.1545.1552
URL: https://www.makhillpublications.co/view-article/1815-932x/rjasci.2016.1545.1552