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Large strain analysis of rubber-like membranes under dead weight, gas pressure, and hydrostatic loading

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Abstract

The title problem is formulated variationally. Especially membranes being totally or partly under hydrostatic loading are considered and it is assumed that either the liquid volume or the liquid level is constant during the deformation. The most general case is characterized by an isoperimetric variational problem and free boundaries of the loaded (wetted) surface. Particularly we analyse membrane strips, membranes of revolution, and arbitrary spatial membranes consisting of piecewise plane ones. Numerous numerical results are reported and discussed with respect to the stability of equilibrium. Contact problems are addressed also.

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Authors and Affiliations

  1. Institute of Mechanics (Civil Engineering), Stuttgart University, Stuttgart, FRG

    H. Bufler & H. Schneider

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  1. H. Bufler
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  2. H. Schneider
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Communicated by S. N. Atluri, 18 October 1993

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Bufler, H., Schneider, H. Large strain analysis of rubber-like membranes under dead weight, gas pressure, and hydrostatic loading. Computational Mechanics 14, 165–188 (1994). https://doi.org/10.1007/BF00350283

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