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Article Dans Une Revue Ricerche di matematica Année : 2024

Principle of virtual action in continuum mechanics

Résumé

We present the principle of virtual action as a foundation of continuum mechanics. Used mainly in relativity, the method has a useful application in classical mechanics and places the notion of action as the basic concept of dynamics. The principle is an extension of virtual work to space-time. It extends the efforts made by d'Alembert and Lagrange. Unlike the classical case of equilibrium, the principle of virtual action becomes a postulate for the formulation of models in dynamics. It allows to use a minimal set of clear conjectures and is extended to the case of media with dissipation; it can be used for more complex systems.
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Dates et versions

hal-04525651 , version 1 (28-03-2024)

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Henri Gouin. Principle of virtual action in continuum mechanics. Ricerche di matematica, 2024, 73 (S1), pp.217-232. ⟨10.1007/s11587-023-00785-x⟩. ⟨hal-04525651⟩
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