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Likely equilibria of stochastic hyperelastic spherical shells and tubes

Abstract:

In large deformations, internally pressurised elastic spherical shells and tubes may undergo a limit-point, or inflation, instability manifested by a rapid transition in which their radii suddenly increase. The possible existence of such an instability depends on the material constitutive model. Here, we revisit this problem in the context of stochastic incompressible hyperelastic materials, and ask the question: what is the probability distribution of stable radially symmetric inflation, suc...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1177/1081286518811881

Authors


Woolley, TE More by this author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
St Catherines College
ORCID:
0000-0002-6436-8483
Publisher:
SAGE Publications Publisher's website
Journal:
Mathematics and Mechanics of Solids Journal website
Volume:
24
Issue:
7
Pages:
2066-2082
Publication date:
2018-11-11
Acceptance date:
2018-10-17
DOI:
EISSN:
1741-3028
ISSN:
1081-2865
Pubs id:
pubs:929144
URN:
uri:fcc98522-f66d-46e3-8092-9b027332de05
UUID:
uuid:fcc98522-f66d-46e3-8092-9b027332de05
Local pid:
pubs:929144

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