Discrete mechanics

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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 sc…

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Title Statements

Full title :Discrete mechanics / Jean-Paul Caltagirone.

Summary

Edition Statements

Publication Date:2015.

Publication Statements

Publisher(s):Wiley
Place of Publication:Hoboken, NJ
Language:eng
Publication Date:2015.

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:9781119057987, 1119057981, 9781119058588, 1119058589, 9781119058076, 1119058074, 1848216785, 9781848216785
oclc:ocn898213751
LC Classification:QA808
Dewey Decimal:531.0151

Cover; Title Page; Copyright; Contents; Preface; List of Symbols; Introduction; I.1. General points; I.2. Introduction; 1: Framework of Discrete Mechanics; 1.1. Frames of reference and uniform motions; 1.2. Concept of a Discrete Medium; 1.2.1. Vectors and components; 1.2.2. Physical meaning of the differential operators; 1.2.3. Use of the theorems of differential geometry; 1.2.4. Two essential properties; 1.2.5. Tensorial values; 1.2.6. The scalar and vectorial potentials; 1.3. The physical characteristics; 1.4. Equilibrium stress state; 1.4.1. Two examples of mechanical equilibrium.

1.5. Thermodynamic non-equilibrium1.5.1. Forces and fluxes; 1.6. Conservation of mass; 2: Momentum Conservation; 2.1. Classification of forces; 2.2. Three fundamental experiments; 2.2.1. Equilibrium in a glass of water; 2.2.2. Couette flow; 2.2.3. Poiseuille flow; 2.3. Postulates; 2.4. Modeling of the pressure forces; 2.5. Modeling of the viscous forces; 2.5.1. Modeling of the viscous effects of volume; 2.5.2. Modeling of the viscous surface effects; 2.5.3. Stress state; 2.6. Objectivity; 2.7. Discrete motion balance equation; 2.7.1. Fundamental law of dynamics; 2.7.2. Eulerian step.

2.7.3. Mechanic…