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Continuum thermodynamics. Part I, Foundations /
This book is a unique presentation of thermodynamic methods of construction of continuous models. It is based on a uniform approach following from the entropy inequality and using Lagrange multipliers as auxiliary quantities in its evaluation. It covers a wide range of models - ideal gases, thermovi...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
[Hackensack] New Jersey :
World Scientific,
©2008.
|
| Colección: | Series on advances in mathematics for applied sciences ;
v. 77. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Wilmański, Krzysztof. | |
| 245 | 1 | 0 | |a Continuum thermodynamics. |n Part I, |p Foundations / |c Krzysztof Wilmanski. |
| 260 | |a [Hackensack] New Jersey : |b World Scientific, |c ©2008. | ||
| 300 | |a 1 online resource (x, 403 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Series on advances in mathematics for applied sciences ; |v v. 77 | |
| 504 | |a Includes bibliographical references (pages 373-395) and index. | ||
| 505 | 0 | |a 1. Introduction -- 2. Geometry. 2.1. Deformation gradient, material vectors. 2.2. Measures of deformation. 2.3. Extension, dilatation, shear. 2.4. Displacement. 2.5. Geometrical compatibility conditions. 2.6. Geometrical compatibility condition for singular surfaces -- 3. Kinematics. 3.1. Basic notions. 3.2. Objective time derivatives. 3.3. Boundaries, kinematical compatibility condition for singular surfaces -- 4. Balance equations. 4.1. Balance laws in Lagrangian description. 4.2. Balance laws in Eulerian description. 4.3. Extension on membranes and interfaces -- 5. Second law of thermodynamics. 5.1. Entropy inequality, thermodynamical admissibility. 5.2. Isotropy, material objectivity. 5.3. Materials with constraints. 5.4. Constitutive relations for various thermoelastic materials. 5.5. Proportionality theorem -- 6. Equilibrium Gibbs thermodynamics. 6.1. Thermostatics of gases. 6.2. Thermostatic theory of homogeneous mixtures -- 7. Kinetic theories. 7.1. Liouville equation. 7.2. BBGKY-hierarchy. 7.3. Boltzmann equation -- 8. Extended thermodynamics. 8.1. General structure. 8.2. Nonrelativistic ideal gases. 8.3. A few remarks on boundary conditions -- 9. Thermodynamical model of viscoelastic materials. 9.1. Foundations. 9.2. Thermodynamical admissibility. 9.3. Viscous fluids, linear viscoelastic solids. 9.4. Maxwell fluid, Rivlin-Ericksen fluids -- 10. Elasto-viscoplastic materials. 10.1. Preliminaries. 10.2. Local configurations. 10.3. Crystal plasticity of monocrystals. 10.4. Polycrystals and orientation distribution function. 10.5. Thermodynamical admissibility. 10.6. Two particular classes of models -- 11. Thermodynamics of miscible mixtures. 11.1. General structure and field equations. 11.2. Thermodynamical admissibility -- 12. Thermodynamics of immiscible mixtures: introduction and models without the field of porosity -- 13. Thermodynamics of poroelastic materials with the balance equation of porosity. 13.1. General structure. 13.2. Two-component poroelastic materials. 13.3. Linear models of saturated poroelastic materials. 13.4. Waves in poroelastic materials. 13.5. On adsorption in porous materials -- 14. Final remarks. | |
| 520 | |a This book is a unique presentation of thermodynamic methods of construction of continuous models. It is based on a uniform approach following from the entropy inequality and using Lagrange multipliers as auxiliary quantities in its evaluation. It covers a wide range of models - ideal gases, thermoviscoelastic fluids, thermoelastic and thermoviscoelastic solids, plastic polycrystals, miscible and immiscible mixtures, and many others. The structure of phenomenological thermodynamics is justified by a systematic derivation from the Liouville equation, through the BBGKY-hierarchy-derived Boltzmann equation, to an extended thermodynamics. In order to simplify the reading, an extensive introduction to classical continuum mechanics and thermostatics is included. As a complementary volume to Part II, which will contain applications and examples, and to Part III, which will cover numerical methods, only a few simple examples are presented in this first Part. One exception is an extensive example of a linear poroelastic material because it will not appear in future Parts. | ||
| 588 | 0 | |a Print version record. | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Thermodynamics. | |
| 650 | 2 | |a Thermodynamics | |
| 650 | 6 | |a Thermodynamique. | |
| 650 | 7 | |a thermodynamics. |2 aat | |
| 650 | 7 | |a SCIENCE |x Mechanics |x Thermodynamics. |2 bisacsh | |
| 650 | 7 | |a Thermodynamics. |2 fast |0 (OCoLC)fst01149832 | |
| 650 | 7 | |a Physics. |2 hilcc | |
| 650 | 7 | |a Physical Sciences & Mathematics. |2 hilcc | |
| 650 | 7 | |a Thermodynamics. |2 hilcc | |
| 650 | 7 | |a Milieux continus, Mécanique des. |2 ram | |
| 650 | 7 | |a Thermodynamique. |2 ram | |
| 776 | 0 | 8 | |i Print version: |a Wilmanski, Krzysztof. |t Continuum thermodynamics. Part I, Foundations. |d [Hackensack] New Jersey ; London ; Singapore [etc.] : World Scientific, 2008 |z 9789812835567 |w (OCoLC)494874895 |
| 830 | 0 | |a Series on advances in mathematics for applied sciences ; |v v. 77. | |
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