Swelling, Inflation, and a Swelling-Burst Instability in Hyperelastic Spherical Shells

The incompressible hyperelastic Mooney-Rivlin constitutive model allows for pressure-inflation response of spherical shells that could either be globally stable (a monotonic pressure-radius graph) or could instead involve instability jumps of various kinds as pressurization proceeds. The latter occu...

Full description

Saved in:
Bibliographic Details
Published in:International journal of solids and structures 2017-10, Vol.125, p.134-149
Main Authors: Zamani, Vahid, Pence, Thomas J.
Format: Article
Language:English
Subjects:
Bifurcations
Burst
Bursting
Computational fluid dynamics
Geometry
Hyperelasticity
Materials elasticity
Pressure
Pressurization
Shell stability
Shells
Spherical shells
Swelling
Thickness
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The incompressible hyperelastic Mooney-Rivlin constitutive model allows for pressure-inflation response of spherical shells that could either be globally stable (a monotonic pressure-radius graph) or could instead involve instability jumps of various kinds as pressurization proceeds. The latter occurs when the pressure-radius graph is not monotonic, allowing for a snap-through bifurcation that gives a sudden burst of inflation. For a given structure (shell thickness) composed of a specific material (a parameter choice in the M–R constitutive model), the form of the pressure-radius graph becomes fixed, enabling the determination of whether and when such a burst will be triggered. Internal swelling of the material that makes up the shell wall will generally change the response. Not only does it alter the quantitative pressure-inflation relation but it can also change the qualitative stability response, allowing burst phenomena for certain ranges of swelling and preventing burst phenomena for other ranges of swelling. This paper provides a systematic framework for predicting how such swelling ranges depend on structural geometry and material parameters.
ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2017.07.010