Taherh  Shokuhi, Nasrin  Hamidi, Majid  Pazand, 
    Asymptotic Analysis of the Boundary Layerby Matching the WKB Solutions of the
Inner and Outer Layers of a Neo-Hookean Cylindrical Shell,
    Research Journal of Applied Sciences,
    Volume 11,Issue 12,
    2016,
    Pages 1545-1552,
    ISSN 1815-932x,
    rjasci.2016.1545.1552,
    (https://makhillpublications.co/view-article.php?doi=rjasci.2016.1545.1552)
    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 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.
    Keywords: boundary layer theory;WKB method;Van Dyke’s matching rule;finite elasticity;thin-walled shells