Initial inflation of a balloon requires more pressure due to elastic rubber tension
Initial inflation of a rubber balloon requires higher initial pressure due to the nonlinear elastic properties and stretch-induced tension of the rubber material, a phenomenon well-captured by elasticity models.
The claim addresses the classic mechanical behavior of rubber balloons, which exhibit a peak inflation pressure at a small radius due to hyperelastic strain energy functions (such as Neo-Hookean or Mooney-Rivlin models). Papers [1] and [2] directly model the inflation mechanics and instability of rubber-like spherical and cylindrical shells, providing strong theoretical and experimental support for the claim. No papers dispute the fundamental mechanics of rubber inflation.
Afshin Anssari-Benam, Andrea Bucchi, Giuseppe Saccomandi. Modelling the Inflation and Elastic Instabilities of Rubber-Like Spherical and Cylindrical Shells Using a New Generalised Neo-Hookean Strain Energy Function. 2021. https://doi.org/10.1007/s10659-021-09823-x
This study models the inflation mechanics and elastic instabilities of spherical and cylindrical rubber-like shells, explaining the pressure-volume relationships governed by material strain energy and wall tension.
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D. P. Skala. Modified Equations of Rubber Elasticity Applied to the Inflation Mechanics of a Thick-Walled Rubber Cylinder. 1970. https://doi.org/10.5254/1.3547285
This paper evaluates the inflation mechanics of rubber cylinders using rubber elasticity theories, showing how elastic tension and geometry dictate the internal pressures required for expansion.
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