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• W1571093023 abstract "In Neohookean elasticity one minimizes functionals which depend on the L2 norm of the deformation gradient, plus a nonlinear function of the determinant, with some notion of invertibility to represent non-interpenetrability of matter. An existence theory which includes a precise notion of invertibility and allows for cavitation was formulated by Muller and Spector, however only for the case where some Lp-norm of the gradient with p > 2 is controlled (in three dimensions). We first characterize their class of functions in terms of properties of the associated rectifiable current. Then we address the physically relevant p = 2 case, and show how their notion of invertibility can be extended to p = 2. The class of functions so obtained is however not closed. We prove this by giving an explicit construction, which has interesting consequences even in other frameworks." @default.
• W1571093023 created "2016-06-24" @default.
• W1571093023 creator A5082837579 @default.
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• W1571093023 date "2002-03-04" @default.
• W1571093023 modified "2023-09-23" @default.
• W1571093023 title "SOME REMARKS ON THE THEORY OF ELASTICITY FOR COMPRESSIBLE NEOHOOKEAN MATERIALS" @default.
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• W1571093023 doi "https://doi.org/10.5167/uzh-21869" @default.
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