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Inflating a Rubber Balloon
Oleh:
Muller, Ingo
;
Struchtrup, Henning
Jenis:
Article from Journal - ilmiah internasional
Dalam koleksi:
Mathematics and Mechanics of Solids vol. 7 no. 5 (Oct. 2002)
,
page 569–577.
Topik:
Rubber balloons
;
Mooney–Rivlin material
;
non-convexity
;
stability
Fulltext:
569MMS75.pdf
(229.67KB)
Isi artikel
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.
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