Principle of virtual action in continuum mechanics
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 e...
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| Veröffentlicht in: | Ricerche di matematica 2024, Vol.73 (Suppl 1), p.217-232 |
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| container_title | Ricerche di matematica |
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| creator | Gouin, Henri |
| description | 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. |
| doi_str_mv | 10.1007/s11587-023-00785-x |
| format | Article |
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| subjects | Algebra Analysis Classical mechanics Complex systems Continuum mechanics Engineering Sciences Geometry Mathematical Physics Mathematics Mathematics and Statistics Mechanics Numerical Analysis Physics Principles Probability Theory and Stochastic Processes Relativity |
| title | Principle of virtual action in continuum mechanics |
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