Abstract
The inflation and bifurcation of spherical membranes is considered. The membrane material is assumed to be isotropic and hyperelastic but may be arbitrarily compressible. Qualitatively the behaviour of compressible membranes is shown to be the same as that of incompressible membranes but specific forms of strain-energy functions are chosen to illustrate possible quantitative differences.
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References
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Haughton, D.M. Inflation and bifurcation of compressible spherical membranes. J Elasticity 12, 239–245 (1982). https://doi.org/10.1007/BF00042219
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DOI: https://doi.org/10.1007/BF00042219