Discrete Mechanics

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John Wiley & Sons, Jan 20, 2015 - Science - 252 pages
This book presents the fundamental principles of mechanics to re-establish the equations of Discrete Mechanics. It introduces physics and thermodynamics associated to the physical modeling.  The development and the complementarity of sciences lead to review today the old concepts that were the basis for the development of continuum mechanics. The differential geometry is used to review the conservation laws of mechanics. For instance, this formalism requires a different location of vector and scalar quantities in space. The equations of Discrete Mechanics form a system of equations where the Helmholtz-Hodge decomposition plays an important role.
 

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Contents

FRAMEWORK OF DISCRETE MECHANICS
1
MOMENTUM CONSERVATION
33
CONSERVATION OF HEAT FLUX
91
PROPERTIES OF DISCRETE EQUATIONS
105
MULTIPHYSICS
165
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About the author (2015)

Jean-Paul CALTAGIRONE, professor Bordeaux University, France.

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