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Inflating a Rubber Balloon

Technical University, Berlin, Germany

Henning Struchtrup

University of Victoria, Victoria, BC, Canada

A spherical balloon has a non-monotonic pressure-radius characteristic. This fact leads to interesting stability properties when two balloons of different radii are interconnected, see [1, 2, 3]. Here, however, we investigate what happens when a single balloon is inflated, say, by mouth. We simulate that process and show how the maximum of the pressure-radius characteristic is overcome by the pressure in the lungs and how the downward sloping part of the characteristic is ‘bridged’ while the lung pressure relaxes.

Key Words: Rubber balloons • Mooney-Rivlin material • non-convexity • stability

Mathematics and Mechanics of Solids, Vol. 7, No. 5, 569-577 (2002)
DOI: 10.1177/108128650200700506


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