Discrete mechanics : concepts and applications / Jean-Paul Caltagirone.

Format:

Book

Author/Creator:

Caltagirone, Jean-Paul, author.

Series:

THEi Wiley ebooks.

THEi Wiley ebooks

Language:

English

Subjects (All):

Mechanics, Analytic.

Nonlinear mechanics.

Fluid mechanics.

Physical Description:

1 online resource

Edition:

2nd ed.

Place of Publication:

London, UK ; Hoboken, NJ : ISTE : Wiley, 2019.

System Details:

Access using campus network via VPN at home (THEi Users Only).

Summary:

The discrete vision of mechanics is based on the founding ideas of Galileo and the principles of relativity and equivalence, which postulate the equality between gravitational mass and inertial mass. To these principles are added the Hodge-Helmholtz decomposition, the principle of accumulation of constraints and the hypothesis of the duality of physical actions. These principles make it possible to establish the equation of motion based on the conservation of acceleration considered as an absolute quantity in a local frame of reference, in the form of a sum of the gradient of the scalar potential and the curl of the vector potential. These potentials, which represent the constraints of compression and rotation, are updated from the discrete operators. Discrete Mechanics: Concepts and Applications shows that this equation of discrete motion is representative of the compressible or incompressible flows of viscous or perfect fluids, the state of stress in an elastic solid or complex fluid and the propagation of nonlinear waves.

Contents:

Fundamental Principles of Discrete Mechanics

Conservation of Acceleration

Conservation of Mass, Flux and Energy

Properties of the Discrete Formulation

Two-Phase Flows, Capillarity and Wetting

Stresses and Strains in Solids

Multiphysical Extensions.

Notes:

Description based on print version record.

ISBN:

9781119575160

1119575168

9781119482826

1119482828

9781119575146

1119575141

OCLC:

1084355670