Abstract
This paper considers the formation of bulges, necks and kinks which may occur in an inflated hyperelastic membrane tube, as a bifurcation from the cylindrical uniformly inflated state. We show how the presence of these features is dependent on the strain-energy function and the boundary conditions, which may be either closed or open with a fixed axial stretch. We give examples of the resulting deformation for the Varga, neo-Hookean, Gent, Ogden, Fung and Yeoh strain-energy functions, showing how the general results apply for these particular functions, illustrating the need to choose appropriately for the material under consideration. Examples are shown of combinations of strain-energy functions and boundary conditions which result in zero and three bifurcation points.
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