Note on a mixed variational principle in finite elasticity
Maugin, Gérard A. ; Trimarco, Carmine
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 3 (1992), p. 69-74 / Harvested from Biblioteca Digitale Italiana di Matematica
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In the present context the variation is performed keeping the deformed configuration fixed while a suitable material stress tensor 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 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.

Publié le : 1992-03-01
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     author = {G\'erard A. Maugin and Carmine Trimarco},
     title = {Note on a mixed variational principle in finite elasticity},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {3},
     year = {1992},
     pages = {69-74},
     zbl = {0760.73025},
     mrnumber = {1160002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_1992_9_3_1_69_0}
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Maugin, Gérard A.; Trimarco, Carmine. Note on a mixed variational principle in finite elasticity. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 3 (1992) pp. 69-74. http://gdmltest.u-ga.fr/item/RLIN_1992_9_3_1_69_0/

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