@article{MAKHILLRJAS201611129972,
    title = {Asymptotic Analysis of the Boundary Layerby Matching the WKB Solutions of the
Inner and Outer Layers of a Neo-Hookean Cylindrical Shell},
    journal = {Research Journal of Applied Sciences},
    volume = {11},
    number = {12},
    pages = {1545-1552},
    year = {2016},
    issn = {1815-932x},
    doi = {rjasci.2016.1545.1552},
    url = {https://makhillpublications.co/view-article.php?issn=1815-932x&doi=rjasci.2016.1545.1552},
    author = {Taherh,Nasrin and},
    keywords = {boundary layer theory,WKB method,Van Dyke’s matching rule,finite elasticity,thin-walled shells},
    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.}
    }