The discrete vision of mechanics is based on the founding ideas of Galileo and the principles of relativity and equivalence, which postulate the equality between gravitational mass and inertial mass. To these principles are added the Hodge–Helmholtz decomposition, the principle of accumulation of constraints and the hypothesis of the duality of physical actions.
These principles make it possible to establish the equation of motion based on the conservation of acceleration considered as an absolute quantity in a local frame of reference, in the form of a sum of the gradient of the scalar potential and the curl of the vector potential. These potentials, which represent the constraints of compression and rotation, are updated from the discrete operators.
Discrete Mechanics: Concepts and Applications shows that this equation of discrete motion is representative of the compressible or incompressible flows of viscous or perfect fluids, the state of stress in an elastic solid or complex fluid and the propagation of nonlinear waves.
Paga facilmente con carta, Klarna, Apple Pay o Google Pay. Non sei soddisfatto? Hai sempre 14 giorni per il rimborso. Leggi di più nei nostri termini. Per qualsiasi domanda, scrivici a hello@memmo.org.
Memmo rende lo studio più facile, ovunque tu sia nel mondo. Qui trovi i tuoi libri di testo e strumenti di studio intelligenti, tutto in un unico posto: riassunti, quiz, podcast e flashcard. E poi c'è Ted, il tuo compagno di studio che risponde a ogni tua domanda. Oltre 50.000 studenti studiano già qui: è stato creato per aiutarti a imparare più velocemente e a stressarti meno.