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Reliability Investigation of LED Devices for Public Light Applications

Durability, Robustness and Reliability of Photonic Devices Set

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Aerospace Actuators 2

Signal-by-Wire and Power-by-Wire

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Flash Memory Integration

Performance and Energy Considerations

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Mechanics of Aeronautical Solids, Materials and Structures

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Engineering Investment Process

Making Value Creation Repeatable

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Space Strategy

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Distributed Systems

Concurrency and Consistency

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Fatigue of Textile and Short Fiber Reinforced Composites

Durability and Ageing of Organic Composite Materials Set – Volume 1

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Management of the Effects of Coastal Storms

Policy, Scientific and Historical Perspectives

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Computational Color Science

Variational Retinex-like Methods

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Discrete Mechanics

Jean-Paul Caltagirone, University of Bordeaux, France

ISBN: 9781848216785

Publication Date: December 2014   Hardback   252 pp.

130.00 USD

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Discrete mechanics is a primitive vision of Newton’s 2nd Law, the fundamental principle of dynamics, as stated in his Philosophiæ Naturalis Principia Mathematica in 1686. The original path chosen to derive the mechanical equations is based on basic concepts of differential geometry where the conservation of the flows is expressed on a segment of the discrete topology. It thus discards the concept of continuous medium.
This book presents the fundamental principle of dynamics, fused together with the conservation of mass equation, which is written formally as the sum of an irrotational contribution and a solenoid contribution following a Hodge–Helmholtz decomposition. The gradient of the scalar potential is associated with pressure forces whereas the rotational of the vector potential corresponds to viscous forces. The discrete equation of the motion thus obtained brings together, at the first order, phenomena such as the diffusion of the quantity of motion, wave propagation, viscous or wave dissipation, etc. The single formulation for fluids and solids is exempt from any constitutive law.


1. Framework of Discrete Mechanics.
2. Momentum Conservation.
3. Conservation of Heat Flux and Energy.
4. Properties of Discrete Equations.
5. Multiphysics.

About the Authors

Jean-Paul Caltagirone is Professor at the University of Bordeaux in France. He conducts research into fluid mechanics, heat transfers and porous media in which he develops original numerical methodologies to resolve equations.


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