Axisymmetric bifurcations of thick spherical shells under inflation and compression

Handle URI:
http://hdl.handle.net/10754/597642
Title:
Axisymmetric bifurcations of thick spherical shells under inflation and compression
Authors:
deBotton, G.; Bustamante, R.; Dorfmann, A.
Abstract:
Incremental equilibrium equations and corresponding boundary conditions for an isotropic, hyperelastic and incompressible material are summarized and then specialized to a form suitable for the analysis of a spherical shell subject to an internal or an external pressure. A thick-walled spherical shell during inflation is analyzed using four different material models. Specifically, one and two terms in the Ogden energy formulation, the Gent model and an I1 formulation recently proposed by Lopez-Pamies. We investigate the existence of local pressure maxima and minima and the dependence of the corresponding stretches on the material model and on shell thickness. These results are then used to investigate axisymmetric bifurcations of the inflated shell. The analysis is extended to determine the behavior of a thick-walled spherical shell subject to an external pressure. We find that the results of the two terms Ogden formulation, the Gent and the Lopez-Pamies models are very similar, for the one term Ogden material we identify additional critical stretches, which have not been reported in the literature before.© 2012 Published by Elsevier Ltd.
Citation:
deBotton G, Bustamante R, Dorfmann A (2013) Axisymmetric bifurcations of thick spherical shells under inflation and compression. International Journal of Solids and Structures 50: 403–413. Available: http://dx.doi.org/10.1016/j.ijsolstr.2012.10.004.
Publisher:
Elsevier BV
Journal:
International Journal of Solids and Structures
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
Jan-2013
DOI:
10.1016/j.ijsolstr.2012.10.004
Type:
Article
ISSN:
0020-7683
Sponsors:
This publication was based on work supported in part by Award No KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). The work by G. deBotton and A. Dorfmann was supported by the United States - Israel Binational Science Foundation (BSF) under the Research Grant 2008419. R. Bustamante would like to express his gratitude for the financial support provided by FONDECYT (Chile) under Grant No. 11085024.
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Full metadata record

DC FieldValue Language
dc.contributor.authordeBotton, G.en
dc.contributor.authorBustamante, R.en
dc.contributor.authorDorfmann, A.en
dc.date.accessioned2016-02-25T12:43:35Zen
dc.date.available2016-02-25T12:43:35Zen
dc.date.issued2013-01en
dc.identifier.citationdeBotton G, Bustamante R, Dorfmann A (2013) Axisymmetric bifurcations of thick spherical shells under inflation and compression. International Journal of Solids and Structures 50: 403–413. Available: http://dx.doi.org/10.1016/j.ijsolstr.2012.10.004.en
dc.identifier.issn0020-7683en
dc.identifier.doi10.1016/j.ijsolstr.2012.10.004en
dc.identifier.urihttp://hdl.handle.net/10754/597642en
dc.description.abstractIncremental equilibrium equations and corresponding boundary conditions for an isotropic, hyperelastic and incompressible material are summarized and then specialized to a form suitable for the analysis of a spherical shell subject to an internal or an external pressure. A thick-walled spherical shell during inflation is analyzed using four different material models. Specifically, one and two terms in the Ogden energy formulation, the Gent model and an I1 formulation recently proposed by Lopez-Pamies. We investigate the existence of local pressure maxima and minima and the dependence of the corresponding stretches on the material model and on shell thickness. These results are then used to investigate axisymmetric bifurcations of the inflated shell. The analysis is extended to determine the behavior of a thick-walled spherical shell subject to an external pressure. We find that the results of the two terms Ogden formulation, the Gent and the Lopez-Pamies models are very similar, for the one term Ogden material we identify additional critical stretches, which have not been reported in the literature before.© 2012 Published by Elsevier Ltd.en
dc.description.sponsorshipThis publication was based on work supported in part by Award No KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). The work by G. deBotton and A. Dorfmann was supported by the United States - Israel Binational Science Foundation (BSF) under the Research Grant 2008419. R. Bustamante would like to express his gratitude for the financial support provided by FONDECYT (Chile) under Grant No. 11085024.en
dc.publisherElsevier BVen
dc.subjectAspherical bifurcationsen
dc.subjectHyperelastic materialsen
dc.subjectIncremental equationsen
dc.subjectSnap-through instabilityen
dc.titleAxisymmetric bifurcations of thick spherical shells under inflation and compressionen
dc.typeArticleen
dc.identifier.journalInternational Journal of Solids and Structuresen
dc.contributor.institutionBen-Gurion University of the Negev, Beer Sheba, Israelen
dc.contributor.institutionUniversidad de Chile, Santiago, Chileen
dc.contributor.institutionTufts University, Medford, United Statesen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-04en
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