Discrete Mechanics

Nonfiction, Science & Nature, Science, Physics, Mechanics
Cover of the book Discrete Mechanics by Jean-Paul Caltagirone, Wiley
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Author: Jean-Paul Caltagirone ISBN: 9781119058076
Publisher: Wiley Publication: December 9, 2014
Imprint: Wiley-ISTE Language: English
Author: Jean-Paul Caltagirone
ISBN: 9781119058076
Publisher: Wiley
Publication: December 9, 2014
Imprint: Wiley-ISTE
Language: English

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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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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