### Principle of conservation of momentum, angular momentum and energy for a deformable continuum in an electromagnetic field

M. Kopisz (1991)

Applicationes Mathematicae

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M. Kopisz (1991)

Applicationes Mathematicae

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M. Kopisz (1991)

Applicationes Mathematicae

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Gérard A. Maugin, Carmine Trimarco (1992)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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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.

Gianfranco Capriz (2003)

Rendiconti del Seminario Matematico della Università di Padova

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Epstein, M. (2000)

Rendiconti del Seminario Matematico

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Petr Procházka, Jiří Šejnoha (2004)

Applications of Mathematics

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Internal parameters, eigenstrains, or eigenstresses, arise in functionally graded materials, which are typically present in particulate, layered, or rock bodies. These parameters may be realized in different ways, e.g., by prestressing, temperature changes, effects of wetting, swelling, they may also represent inelastic strains, etc. In order to clarify the use of eigenparameters (eigenstrains or eigenstresses) in physical description, the classical formulation of elasticity is presented,...

Gianfranco Capriz, George Mullenger (2004)

Rendiconti del Seminario Matematico della Università di Padova

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Franco Pastrone (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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It is proved that, as in three-dimensional elasticity, Betti's theorem represents a criterion for the existence of a stored-energy function for a Cosserat elastic shell.