Asymptotic and numerical solutions for a hammocking model

S. B.G. O'Brien; V. Casey

doi:10.1093/qjmam/55.3.409

Asymptotic and numerical solutions for a hammocking model

S. B.G. O'Brien, V. Casey

Department of Mathematics and Statistics

University of Limerick

Research output: Contribution to journal › Article › peer-review

Abstract

A model to predict the shape of a stretched membrane which was nearly conformal to an underlying body and distorted by a small surface perturbation, was formulated. A number of models were developed to examine the situation and obtain appropriate asymptotic approximations. The analysis showed that in situations with some degree of symmetry, the results given by simple asymptotic models were in good agreement with numerical simulations.

Original language	English
Pages (from-to)	409-420
Number of pages	12
Journal	Quarterly Journal of Mechanics and Applied Mathematics
Volume	55
Issue number	3
DOIs	https://doi.org/10.1093/qjmam/55.3.409
Publication status	Published - Aug 2002

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title = "Asymptotic and numerical solutions for a hammocking model",

abstract = "A model to predict the shape of a stretched membrane which was nearly conformal to an underlying body and distorted by a small surface perturbation, was formulated. A number of models were developed to examine the situation and obtain appropriate asymptotic approximations. The analysis showed that in situations with some degree of symmetry, the results given by simple asymptotic models were in good agreement with numerical simulations.",

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AU - Casey, V.

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AB - A model to predict the shape of a stretched membrane which was nearly conformal to an underlying body and distorted by a small surface perturbation, was formulated. A number of models were developed to examine the situation and obtain appropriate asymptotic approximations. The analysis showed that in situations with some degree of symmetry, the results given by simple asymptotic models were in good agreement with numerical simulations.

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M3 - Article

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JO - Quarterly Journal of Mechanics and Applied Mathematics

JF - Quarterly Journal of Mechanics and Applied Mathematics

IS - 3

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Asymptotic and numerical solutions for a hammocking model

Abstract

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