Geodesic
Note on a mixed variational principle in finite elasticity
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 3 (1992) no. 1, pp. 69-74.

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In the present context the variation is performed keeping the deformed configuration fixed while a suitable material stress tensor \( \mathcal{S} \) and the material coordinates are required to vary independently. The variational principle turns out to be equivalent to an equilibrium problem of placements and tractions prescribed at the boundary of a body of finite extent.
Si fissa la configurazione deformata di un solido elastico mentre si richiede che le coordinate materiali e che \( \mathcal{S} \), un opportuno tensore materiale degli sforzi, possano variare in modo indipendente. Si tova che il principio variazionale proposto corrisponde ad un problema di equilibrio meccanico. 
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Maugin, Gérard A.; Trimarco, Carmine. Note on a mixed variational principle in finite elasticity. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 3 (1992) no. 1, pp. 69-74. http://geodesic.mathdoc.fr/item/RLIN_1992_9_3_1_a8/

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