TY  - JOUR
T1  - Asymptotic Analysis of the Boundary Layerby Matching the WKB Solutions of the
Inner and Outer Layers of a Neo-Hookean Cylindrical Shell
AU - Shokuhi, Taherh AU - Hamidi, Nasrin AU - Pazand, Majid 
JO  - Research Journal of Applied Sciences
VL  - 11
IS  - 12
SP  - 1545
EP  - 1552
PY  - 2016
DA  - 2001/08/19
SN  - 1815-932x
DO  - rjasci.2016.1545.1552
UR  - https://makhillpublications.co/view-article.php?doi=rjasci.2016.1545.1552
KW  - boundary layer theory
KW  -WKB method
KW  -Van Dyke’s matching rule
KW  -finite elasticity
KW  -thin-walled shells
AB  - 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 0<A1<1) and for the purpose of matching the two regions, it is necessary to
reconsider the asymptotic solutions obtained previously and offer the summarized relations of the relevant
eigenvalues, i.e., &mu; = a<sub>i</sub>/A1. For analyzing thin-walled shells, the theory of boundary layer and also Van Dyke&#146;s 1
matching rule has been employed.
ER  -