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Cover image for book Discrete Mechanics

Discrete Mechanics

By:Jean-Paul Caltagirone
Publisher:Wiley Global Research (STMS)
Print ISBN:9781848216785
eText ISBN:9781119058076
Edition:1
Copyright:2015
Format:Reflowable

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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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