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Discrete Mechanics: Concepts and Applications by Jean-Paul Caltagirone

Discrete Mechanics: Concepts and Applications

by Jean-Paul Caltagirone
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Book cover type: Hardcover
  • ISBN13: 9781786302830
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Wiley-Iste
  • Publisher Imprint: Wiley-Iste
  • Publication Date:
  • Pages: 328
  • Original Price: USD 177.95
  • Language: English
  • Edition: N/A
  • Item Weight: 300 grams
  • BISAC Subject(s): Numerical Analysis

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.

Jean-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.

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