Continuum thermodynamics, Part I, Foundations:
Gespeichert in:
| Beteilige Person: | |
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| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
[Hackensack] New Jersey
World Scientific
©2008
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| Schriftenreihe: | Series on advances in mathematics for applied sciences
v. 77 |
| Schlagwörter: | |
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| Beschreibung: | Includes bibliographical references (pages 373-395) and index 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 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 |
| Umfang: | 1 Online-Ressource (x, 403 pages) |
| ISBN: | 9789812835574 9812835571 |
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| 490 | 0 | |a Series on advances in mathematics for applied sciences |v v. 77 | |
| 500 | |a Includes bibliographical references (pages 373-395) and index | ||
| 500 | |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 -- | ||
| 500 | |a - 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 -- | ||
| 500 | |a - 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 | ||
| 500 | |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 | ||
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Datensatz im Suchindex
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| author | Wilmański, Krzysztof |
| author_facet | Wilmański, Krzysztof |
| author_role | aut |
| author_sort | Wilmański, Krzysztof |
| author_variant | k w kw |
| building | Verbundindex |
| bvnumber | BV043157137 |
| collection | ZDB-4-EBA |
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| dewey-full | 536/.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 536 - Heat |
| dewey-raw | 536/.7 |
| dewey-search | 536/.7 |
| dewey-sort | 3536 17 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
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| id | DE-604.BV043157137 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:29:55Z |
| institution | BVB |
| isbn | 9789812835574 9812835571 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028581328 |
| oclc_num | 557513691 |
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| physical | 1 Online-Ressource (x, 403 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | World Scientific |
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| series2 | Series on advances in mathematics for applied sciences |
| spelling | Wilmański, Krzysztof Verfasser aut Continuum thermodynamics, Part I, Foundations Krzysztof Wilmanski [Hackensack] New Jersey World Scientific ©2008 1 Online-Ressource (x, 403 pages) txt rdacontent c rdamedia cr rdacarrier Series on advances in mathematics for applied sciences v. 77 Includes bibliographical references (pages 373-395) and index 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 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 Thermodynamique SCIENCE / Mechanics / Thermodynamics bisacsh Milieux continus, Mécanique des ram Thermodynamique ram Thermodynamics http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=305242 Aggregator Volltext |
| spellingShingle | Wilmański, Krzysztof Continuum thermodynamics, Part I, Foundations Thermodynamique SCIENCE / Mechanics / Thermodynamics bisacsh Milieux continus, Mécanique des ram Thermodynamique ram Thermodynamics |
| title | Continuum thermodynamics, Part I, Foundations |
| title_auth | Continuum thermodynamics, Part I, Foundations |
| title_exact_search | Continuum thermodynamics, Part I, Foundations |
| title_full | Continuum thermodynamics, Part I, Foundations Krzysztof Wilmanski |
| title_fullStr | Continuum thermodynamics, Part I, Foundations Krzysztof Wilmanski |
| title_full_unstemmed | Continuum thermodynamics, Part I, Foundations Krzysztof Wilmanski |
| title_short | Continuum thermodynamics, Part I, Foundations |
| title_sort | continuum thermodynamics part i foundations |
| topic | Thermodynamique SCIENCE / Mechanics / Thermodynamics bisacsh Milieux continus, Mécanique des ram Thermodynamique ram Thermodynamics |
| topic_facet | Thermodynamique SCIENCE / Mechanics / Thermodynamics Milieux continus, Mécanique des Thermodynamics |
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