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Abstract
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.
Keywords
swelling, liquid redistribution, shell stiffness, burst,
porohyperelastic
Milestones
Received: 20 August 2019
Revised: 31 December 2019
Accepted: 10 January 2020
Published: 26 February 2020