The aim of this paper is to apply Noether’s theorem, as generalized by Bessel-Hagen, to compute all conservation laws related to geometric symmetries of von Karman equations. Considering the full Lie group of point transformations and exploiting the fact that these arise from a variational formulation, we compute all the transformations which leave the Lagrangian in the variational integral invariant only up to a divergence
Conservation laws for the von Karman equations of a thin plate.
SACCOMANDI, Giuseppe;SALVATORI, Maria Cesarina
1991
Abstract
The aim of this paper is to apply Noether’s theorem, as generalized by Bessel-Hagen, to compute all conservation laws related to geometric symmetries of von Karman equations. Considering the full Lie group of point transformations and exploiting the fact that these arise from a variational formulation, we compute all the transformations which leave the Lagrangian in the variational integral invariant only up to a divergenceFile in questo prodotto:
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