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Elastic Instability of Pseudo-Elastic Rubber Balloons

Ren Jiusheng1

Department of Mechanics, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200444, China

Computers, Materials & Continua 2008, 7(1), 25-32. https://doi.org/10.3970/cmc.2008.007.025

Abstract

Elastic instability for the inflation and deflation of a thin-walled spherical rubber balloon is examined within the framework of finite pseudo-elasticity. When a spherical rubber balloon is inflated, it is subject to a complex deformation after a pressure maximum has been obtained. One part of the balloon is lightly stretched while the remainder becomes highly stretched. So an aspherical deformation is observed after the initial spherical inflation. A pseudo-elastic strain energy function including a damage variable which may model the loading, unloading and reloading of rubber is used. The balloon is idealized as an elastic membrane and the inflation, deflation and re-inflation of the balloon is described in detail. Instability of solutions is discussed through energy comparison. Furthermore, the effect of temperature is discussed with a thermo-hyperelastic model and the residual strain is analyzed with a pseudo-elastic strain energy function including a residual strain variable.

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Cite This Article

APA Style
Jiusheng, R. (2008). Elastic instability of pseudo-elastic rubber balloons. Computers, Materials & Continua, 7(1), 25-32. https://doi.org/10.3970/cmc.2008.007.025
Vancouver Style
Jiusheng R. Elastic instability of pseudo-elastic rubber balloons. Comput Mater Contin. 2008;7(1):25-32 https://doi.org/10.3970/cmc.2008.007.025
IEEE Style
R. Jiusheng, “Elastic Instability of Pseudo-Elastic Rubber Balloons,” Comput. Mater. Contin., vol. 7, no. 1, pp. 25-32, 2008. https://doi.org/10.3970/cmc.2008.007.025



cc Copyright © 2008 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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