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Expansion-contraction
behavior of a pressurized porohyperelastic spherical shell
due to fluid redistribution in the structure wall
Vahid Zamani and Thomas J. Pence |
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Vol. 15 (2020), No. 1, 159–184
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Abstract |
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Spherical shells with porohyperelastic walls that contain mobile liquid are examined for the purpose of determining how the in-wall liquid distribution affects the overall mechanical response. Attention is restricted to spherical symmetry and to Mooney–Rivlin type material models that are generalized so as to incorporate swelling. In this setting, different distributions of the same amount of liquid are examined for their effect on the sphere’s pressure-expansion behavior. Liquid distributions that are essentially uniform are found to give the most compliant response. In contrast, nonuniform liquid distributions that concentrate liquid near either the inner or outer wall are found to stiffen the overall behavior. Liquid redistribution can also alter the basic monotonicity properties of the resulting inflation graphs, possibly leading to various limited burst events. |
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Keywords
swelling, liquid redistribution, shell stiffness, burst,
porohyperelastic
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Milestones
Received: 20 August 2019
Revised: 31 December 2019
Accepted: 10 January 2020
Published: 26 February 2020
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Authors |
| Vahid Zamani | |
| Department of Mechanical
Engineering Michigan State University Engieering Building East Lansing, MI 48824-1226 United States |
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| Thomas J. Pence | |
| Department of Mechanical
Engineering Michigan State University Engineering Building East Lansing, MI 48824-1226 United States |
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