Summary
The flexure of a cuboid mixture of a nonlinearly elastic solid and an ideal fluid is considered in the context of the theory of interacting continua. The Helmholtz free energy function for the mixture is assumed to be of a “Neo-Hookean” type. The effect of flexure on the distribution of the fluid content and the radial stresses in the deformed, swollen, cylindrical configuration is investigated. Classical results for the flexure of a cuboid of an incompressible nonlinearly elastic material [1] are also derived by considering the special case of the mixture with zero fluid content. It is anticipated that the results presented herein will be valuable to practicing engineers, and also guide and motivate future experimental work.
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Gandhi, M.V., Kasiviswanathan, S.R. & Usman, M. Flexure of a fluid-saturated cuboid. Acta Mechanica 111, 209–222 (1995). https://doi.org/10.1007/BF01376931
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DOI: https://doi.org/10.1007/BF01376931