Non-spherical axisymmetric deformations of hyperelastic shells

Research output: Contribution to journalArticlepeer-review

Abstract

Spherical elastic shells commonly appear both in nature and man-made devices. Often, their functionality is governed by an incoming- or outgoing flux of fluid. The transient traction that the fluid exerts in the process causes the shell to depart from sphericity. Here, we develop a framework for determining non-spherical axisymmetric deformations, by combining tools from nonlinear continuum mechanics, structural mechanics, and asymptotic analysis. We apply our framework to analyze an exemplary problem of a Mooney–Rivlin shell that is filled by viscous fluid. Collectively, our framework and the insights gained from its application, promote the understanding of the mechanics of such fluid-filled deformable membranes and shells.

Original languageAmerican English
Article number112448
JournalInternational Journal of Solids and Structures
Volume282
DOIs
StatePublished - 15 Oct 2023

Keywords

  • Hyperelastic
  • Membrane
  • Non-spherical deformation
  • Nonlinear elasticity
  • Shell
  • Solid–fluid interaction

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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