Abstract
The equilibrium of a symmetrically loaded, thin walled spherical shell is considered. A study is made of the asymptotic behavior of the solution as the relative thickness γ of the shell tends to zero. An asymptotic expansion has been established which estimates the error in the technical theory and enables one to derive more exact theories. Use is made of the method of homogeneous solutions, which in the case of spherical shells is due to Lur'e
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