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Variational principles in elastostatics

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Sommario

In una precedente nota sono stati presentati tre nuovi principi variazionali dell'elastostatica nella teoria dei piccoli spostamenti che vanno ad aggiungersi ai quattro principi precedentemente noti: quello della minima energia potenziale, di Menabrea-Finzi, di Reissner e di Hu-Washizu. In questa nota è presentato un nuovo principio, viene segnalata una variante al principio di Reissner e al suo duale e infine viene data una visione globale su tutti i principi attualmente noti dell'elastostatica.

Summary

In a previous paper three new variational principles of elastostatics in the theory of small displacements were added to the four principles previously known: that of the minimum potential energy, of Menabrea-Finzi, of Reissner and of Hu-Washizu. This paper presents another new principle plus a variant of Reissner's principle and of its dual and reviews all the principles of elastostatics known to date.

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This work has been done under the auspices of the Research Group no. 34 of C.N.R.

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Tonti, E. Variational principles in elastostatics. Meccanica 2, 201–208 (1967). https://doi.org/10.1007/BF02153074

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