A field theory approach to stability of radial equilibria in nonlinear elasticity
1986 ◽
Vol 99
(3)
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pp. 589-604
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In this paper we study the stability of a class of singular radial solutions to the equilibrium equations of nonlinear elasticity, in which a hole forms at the centre of a ball of isotropic material held in a state of tension under prescribed boundary displacements. The existence of such cavitating solutions has been shown by Ball[1], Stuart [11] and Sivaloganathan[10]. Our methods involve elements of the field theory of the calculus of variations and provide a new unified interpretation of the phenomenon of cavitation.
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2008 ◽
Vol 798
(3)
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pp. 443-469
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1979 ◽
Vol 82
(3-4)
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pp. 329-331
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