Discrete Mechanics by Caltagirone, Jean-Paul -- Read -- Imperial Library of Trantor

Index

Cover Contents Title Page Copyright 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 1.3. The physical characteristics 1.4. Equilibrium stress state 1.5. Thermodynamic non-equilibrium 1.6. Conservation of mass

2. Momentum Conservation

2.1. Classification of forces 2.2. Three fundamental experiments 2.3. Postulates 2.4. Modeling of the pressure forces 2.5. Modeling of the viscous forces 2.6. Objectivity 2.7. Discrete motion balance equation 2.8. Formulation in terms of density and temperature 2.9. Similitude parameters 2.10. Hypercompressible media

3. Conservation of Heat Flux and Energy

3.1. Introduction 3.2. Conservation of flux 3.3. Conservation of energy 3.4. Discrete equations for the flux and the energy 3.5. A simple heat-conduction problem

4. Properties of Discrete Equations

4.1. A system of equations and potentials 4.2. Physics represented 4.3. Boundary conditions 4.4. Penalization of the potentials 4.5. Continua and discrete mediums 4.6. Hodge–Helmholtz decomposition 4.7. Approximations 4.8. Gravitational waves 4.9. Linear visco-elasticity

5. Multiphysics

5.1. Extensions to other branches of physics 5.2. Flow around a cylinder in an infinite medium 5.3. Fluid statics 5.4. Injection of a gas into a cavity 5.5. Nonlinear wave propagation 5.6. Thermo-acoustics 5.7. Natural convection in an enclosed cavity 5.8. Multi-component transport 5.9. Modeling of phase change 5.10. Critical opalescence 5.11. Conclusions regarding the multiphysics approach

Appendix: Formulas

A.1. Tensorial identities A.2. Vectorial identities

Bibliography Index