Flattening of membranes of revolution by large stretching—Asymptotic solution with boundary layer
- 1 January 1973
- journal article
- Published by American Mathematical Society (AMS) in Quarterly of Applied Mathematics
- Vol. 30 (4) , 407-420
- https://doi.org/10.1090/qam/99720
Abstract
The problem is solved explicitly by the method of matching asymptotics. The stretching of a flat membrane with an inclusion is studied as an example. Asymptotic stress and strain concentration ratios are derived. It is shown that the stress concentration ratio tends to unity as the stretching tends to infinity. This is justified by the exact numerical solution.Keywords
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