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• W3133096852 abstract "We consider the problem of minimizing the neo-Hookean energy in 3D. The difficulty of this problem is that the space of maps without cavitation is not compact, as shown by Conti & De Lellis with a pathological example involving a dipole. In order to rule out this behaviour we consider the relaxation of the neo-Hookean energy in the space of axisymmetric maps without cavitation. We propose a minimization space and a new explicit energy penalizing the creation of dipoles. This new energy, which is a lower bound of the relaxation of the original energy, bears strong similarities with the relaxed energy of Bethuel–Brezis–Hélein in the context of harmonic maps into the sphere." @default.
• W3133096852 created "2021-03-01" @default.
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• W3133096852 date "2023-07-29" @default.
• W3133096852 modified "2023-09-27" @default.
• W3133096852 title "Harmonic Dipoles and the Relaxation of the Neo-Hookean Energy in 3D Elasticity" @default.
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• W3133096852 doi "https://doi.org/10.1007/s00205-023-01897-2" @default.
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