Integral Methods in Science and Engineering, Volume 1 2009
DOI: 10.1007/978-0-8176-4899-2_16
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On J. Ball’s Fundamental Existence Theory and Regularity of Weak Equilibria in Nonlinear Radial Hyperelasticity

Abstract: In 1982, J. Ball formulated a pioneering theory on the existence and uniqueness of weak radial equilibria to the pure displacement boundary value problem associated with isotropic, frame-invariant strain-energy functions in nonlinear hyperelasticity. In the theory [Bal82], he posed the following question: "Does strong ellipticity ('of the stored energy') imply that all solutions to the equilibrium equations which pass through the origin and have finite energy are trivial?" J. Ball's work depended critically on… Show more

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