Some remarks on the application of the energy variational principles in the finite element method
Theoretical and applied mechanics, Tome 14 (1988) no. 1, p. 117
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Disadvantages of energy variational principles in the finite element method are considered. In the case when the distribution function of a higher order, additional nodal forces appear, which are not a consequence of the crossing forces ($\Delta K_1$). The energy approach also includes quantities with different physical values ($\Delta K_2$ - “parasitic stresses”). These influences are the main reason that elements of a higher order or irregular shape give unsatisfactory results. All these shortcomings are successfully rejected by using the direct method of development finite elements.
@article{TAM_1988_14_1_a11,
author = {Apostol Poceski},
title = {Some remarks on the application of the energy variational principles in the finite element method},
journal = {Theoretical and applied mechanics},
pages = {117 },
year = {1988},
volume = {14},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAM_1988_14_1_a11/}
}
Apostol Poceski. Some remarks on the application of the energy variational principles in the finite element method. Theoretical and applied mechanics, Tome 14 (1988) no. 1, p. 117 . http://geodesic.mathdoc.fr/item/TAM_1988_14_1_a11/