In a recent paper [1] we presented a closed form solution to the problem of radial stretching of a viscoelastic hollow circular membrane under uniform tension applied over its internal boundary. The significance of this solution is that it can be used, in combination with the solution for a hollowmembrane under uniform tension at both boundaries, to obtain the solution of a more general problem in which the membrane is loaded by different tensions at two boundaries. For example, in the analysis of the micropipette aspiration of the red blood cell, the tension on the internal boundary is induced by the micropipette suction pressure, while the tension on the external boundary is due to the internal pressure in the cell itself. Since this important generalization was not made in our original paper, we present it here, with a particular attention given to the loading combination in which the tension over the external boundary is adjusted, relative to the tension over the internal boundary, so that the entire membrane is under tensile state of stress, in both radial and circumferential directions, avoiding wrinkling due to the absence of its compressive strength.

Viscoelastic response of thin membranes with application to red blood cells: addendum

MARZANI, ALESSANDRO
2010

Abstract

In a recent paper [1] we presented a closed form solution to the problem of radial stretching of a viscoelastic hollow circular membrane under uniform tension applied over its internal boundary. The significance of this solution is that it can be used, in combination with the solution for a hollowmembrane under uniform tension at both boundaries, to obtain the solution of a more general problem in which the membrane is loaded by different tensions at two boundaries. For example, in the analysis of the micropipette aspiration of the red blood cell, the tension on the internal boundary is induced by the micropipette suction pressure, while the tension on the external boundary is due to the internal pressure in the cell itself. Since this important generalization was not made in our original paper, we present it here, with a particular attention given to the loading combination in which the tension over the external boundary is adjusted, relative to the tension over the internal boundary, so that the entire membrane is under tensile state of stress, in both radial and circumferential directions, avoiding wrinkling due to the absence of its compressive strength.
V.A. Lubarda; A. Marzani
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/92344
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