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OverviewThe 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. Full Product DetailsAuthor: Jean-Paul CaltagironePublisher: ISTE Ltd and John Wiley & Sons Inc Imprint: ISTE Ltd and John Wiley & Sons Inc Edition: 2nd Edition Dimensions: Width: 16.30cm , Height: 2.30cm , Length: 23.90cm Weight: 0.635kg ISBN: 9781786302830ISBN 10: 1786302837 Pages: 336 Publication Date: 19 February 2019 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Out of stock The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsReviewsAuthor InformationJean-Paul Caltagirone is Professor Emeritus at INP, University of Bordeaux, France. Over the past decade, his research into continuum mechanics, and particularly fluid mechanics, has led him to develop a discrete theoretical approach to mechanics. Tab Content 6Author Website:Countries AvailableAll regions |