Axisymmetric bifurcations of thick spherical shells under inflation and compression

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:50

Article

deBotton, G.³  Bustamante, R.⁴  Dorfmann, A.^1,2 

[1] Tufts Univ, Dept Civil & Environm Engn, Medford, MA 02155 USA

[2] Univ Oxford, Inst Math, OCCAM, Oxford OX1 3LB, England

[3] Ben Gurion Univ Negev, Dept Mech Engn, Pearlstone Ctr Aeronaut Studies, IL-84105 Beer Sheva, Israel

[4] Univ Chile, Santiago Ctr, Dept Ingn Mecan, Santiago, Chile

关键词: Hyperelastic materials;    Snap-through instability;    Incremental equations;    Aspherical bifurcations;   

DOI  :  10.1016/j.ijsolstr.2012.10.004

来源: Elsevier

【 摘 要 】

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 I-1 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. (C) 2012 Elsevier Ltd. All rights reserved.

【 授权许可】

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