Collapse by ponding of pneumatic elastic spherical caps under distributed loads

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Abstract
The problem of collapse by ponding of air-supported elastic spherical caps subjected to a distributed axisymmetric central load is investigated. Cases of uniform and nonuniform load intensity are considered and the expressions for the critical intensities for the onset of collapse are derived. Numerical solutions are obtained for a range of values of the parameters and the results are presented in graphical form. The interpretation of the results in terms of some initial depressions filled with a ponding fluid is also discussed.

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