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The Quarterly Journal of Mechanics and Applied Mathematics 2002 55(3):409-420; doi:10.1093/qjmam/55.3.409
© 2002 by Oxford University Press
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Asymptotic and Numerical Solutions for a Hammocking Model

S. B. G. O'Brien1 and V. Casey2

( 1 Department of Mathematics & Statistics, Materials and Surface Science Insitute, University of Limerick, Ireland 2 Department of Physics, Materials and Surface Science Institute, University of Limerick, Ireland )

We formulate a model to predict the shape of a stretched membrane which is nearly conformal to an underlying body and which is distorted by a small surface perturbation. We develop a number of models to examine the situation and obtain appropriate asymptotic approximations which are then verified via numerical solutions.

Received 27 June 2001. Revised 28 October 2001.


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