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Discrete mechanics / Jean-Paul Caltagirone.

By: Material type: TextTextSeries: Fluid mechanics seriesPublication details: Hoboken, NJ : John Wiley and Sons Inc, 2014.Description: xxvi, 221 p. : illustrations ; 25 cmISBN:
  • 9781848216785
Subject(s): DDC classification:
  • 531.0151 23 C166
Contents:
1. Framework of discrete mechanics -- 2. Momentum conservation -- 3. Conservation of heat flux and energy -- 4. Properties of discrete equations -- 5. Multiphysics -- Appendix -- Bibliography -- Index.
Summary: 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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Includes bibliographical references and index.

1. Framework of discrete mechanics --
2. Momentum conservation --
3. Conservation of heat flux and energy --
4. Properties of discrete equations --
5. Multiphysics --
Appendix --
Bibliography --
Index.

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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