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Discrete Mechanics: Concepts and Applications book cover by Jean-Paul Caltagirone
Hardcover

Discrete Mechanics: Concepts and Applications

by Jean-Paul Caltagirone

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Hardcover · 336 pages Wiley · 2019

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Hardcover
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About the book

Discrete Mechanics

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.



Details

Publisher
Wiley
Author
Jean-Paul Caltagirone
Format
Hardcover
Published
May 21, 2019
ISBN-13
9781786302830
Pages
336
Carton quantity
20 copies
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