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|a 9781119575146
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|b 000065043729
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|a (OCoLC)1084355670
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|b .C358 2019
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|a 531
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|a UAMI
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|a Caltagirone, Jean-Paul.
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|a Discrete Mechanics :
|b Concepts and Applications.
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| 250 |
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|a 2nd ed.
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| 260 |
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|a Newark :
|b John Wiley & Sons, Incorporated,
|c 2019.
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| 300 |
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|a 1 online resource (333 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Print version record.
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|a Cover; Half-Title Page; Title Page; Copyright Page; Contents; Preface; Introduction; List of Symbols; 1. Fundamental Principles of Discrete Mechanics; 1.1. Definitions of discrete mechanics; 1.1.1. Notion of discrete space-time; 1.1.2. Notion of a discrete medium; 1.2. Properties of discrete operators; 1.3. Invariance under translation and rotation; 1.4. Weak equivalence principle; 1.5. Principle of accumulation of stresses; 1.6. Duality-of-action principle; 1.7. Physical characteristics of a medium; 1.8. Composition of velocities and accelerations; 1.9. Discrete curvature
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|a 1.10. Axioms of discrete mechanics2. Conservation of Acceleration; 2.1. General principles; 2.2. Continuous memory; 2.3. Modeling the compression stress; 2.3.1. Compression experiment; 2.3.2. Modeling the stress in a solid; 2.3.3. Modeling the stress in a fluid; 2.3.4. Compression with small time constants; 2.3.5. Modeling the accumulation of the normal stress; 2.3.6. The energy formula, e = mc2; 2.4. Modeling the rotation stress; 2.4.1. Couette's experiment; 2.4.2. Behavior over time; 2.4.3. Rotation stress in solids; 2.4.4. Rotation stress in fluids
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|a 2.4.5. Stresses in a porous medium, Darcy's law2.4.6. Modeling the accumulation of the rotation stress; 2.4.7. Rotation in Couette and Poiseuille flows; 2.5. Modeling other effects; 2.5.1. Gravitational effects; 2.5.2. Inertial effects; 2.6. Discrete equations of motion; 2.6.1. Geometric description; 2.6.2. Derivation of the equations of motion; 2.6.3. Dissipation of energy; 2.7. Coupling conditions; 2.8. Formulation of the equations of motion at a discontinuity; 2.9. Other forms of the equations of motion; 2.9.1. Curl and vector potential formulation
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|a 2.9.2. Conservative form of the equations of motion2.10. Incompressible models derived from the discrete formulation; 2.10.1. Kinematic projection methods; 2.10.2. Incompressibility in discrete mechanics; 2.11. Consequences on the dynamics of the vorticity; 3. Conservation of Mass, Flux and Energy; 3.1. Conservation of mass in a homogeneous medium; 3.1.1. In continuum mechanics; 3.1.2. In discrete mechanics; 3.2. Transport within multicomponent mixtures; 3.2.1. Classical approach; 3.2.2. Discrete model for the transport of chemical species; 3.2.3. Equilibrium in a binary mixture
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|a 3.3. Advection3.4. Conservation of flux; 3.4.1. General remarks; 3.4.2. Model; 3.5. Conservation of energy; 3.5.1. Conservation of total energy; 3.5.2. Conservation of kinetic energy; 3.5.3. Conservation of internal energy; 3.5.4. Monotonically decreasing kinetic energy; 3.6. A complete system of equations; 3.7. A simple heat conduction problem; 3.7.1. Case of anisotropic materials; 3.8. Phase change; 3.8.1. The Stefan problem; 3.8.2. Condensation; 4. Properties of the Discrete Formulation; 4.1. Fundamental properties; 4.1.1. Limitations on the velocity
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 650 |
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0 |
|a Mechanics, Analytic.
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| 650 |
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|a Nonlinear mechanics.
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| 650 |
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|a Fluid mechanics.
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| 650 |
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6 |
|a Mécanique analytique.
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| 650 |
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|a Mécanique non linéaire.
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| 650 |
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6 |
|a Mécanique des fluides.
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| 650 |
|
7 |
|a Fluid mechanics
|2 fast
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| 650 |
|
7 |
|a Mechanics, Analytic
|2 fast
|
| 650 |
|
7 |
|a Nonlinear mechanics
|2 fast
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| 758 |
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|i has work:
|a Discrete mechanics (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCG7GWMXyTGmGgk8H9QBhXm
|4 https://id.oclc.org/worldcat/ontology/hasWork
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| 776 |
0 |
8 |
|i Print version:
|a Caltagirone, Jean-Paul.
|t Discrete Mechanics : Concepts and Applications.
|d Newark : John Wiley & Sons, Incorporated, ©2019
|z 9781786302830
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| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5649552
|z Texto completo
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| 880 |
8 |
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|6 505-00/(S
|a 4.1.2. Inverting the formulas Vø = Δø and Vψ = Δ ×ψ
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| 938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL5649552
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| 994 |
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|a 92
|b IZTAP
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