02649nam 2200493 450 991081348040332120230817122001.01-119-57516-81-119-48282-81-119-57514-1(CKB)4100000007586980(MiAaPQ)EBC5649552(Au-PeEL)EBL5649552(OCoLC)1084355670(EXLCZ)99410000000758698020190214d2019 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierDiscrete mechanics concepts and applications /Jean-Paul CaltagironeLondon, UK ;Hoboken, NJ :ISTE :Wiley,2019.1 online resourceTHEi Wiley ebooks1-78630-283-7 Fundamental Principles of Discrete Mechanics -- Conservation of Acceleration -- Conservation of Mass, Flux and Energy -- Properties of the Discrete Formulation -- Two-Phase Flows, Capillarity and Wetting -- Stresses and Strains in Solids -- Multiphysical Extensions.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.THEi Wiley ebooks.Mechanics, AnalyticNonlinear mechanicsFluid mechanicsMechanics, Analytic.Nonlinear mechanics.Fluid mechanics.531Caltagirone Jean-Paul895423MiAaPQMiAaPQMiAaPQBOOK9910813480403321Discrete mechanics4035975UNINA