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" Thermomechanics of Continua "
by Krzysztof Wilmański.
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BL
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| Record Number
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578121
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b407340
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| Main Entry
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Wilmański, Krzysztof.
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| Title & Author
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Thermomechanics of Continua\ by Krzysztof Wilmański.
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| Publication Statement
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Berlin, Heidelberg :: Springer Berlin Heidelberg :: Imprint: Springer,, 1998.
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| ISBN
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9783642589348
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: 9783642637971
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| Contents
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1 Introduction -- 1.1 Preliminary Remarks -- 1.2 Chains of Mass Points -- 1.3 Contents of the Book -- 2 Geometry -- 2.1 Reference and Current Configurations -- 2.2 Polar Decomposition of the Deformation Gradient -- 2.3 Some Other Measures of Deformation -- 3 Kinematics -- 3.1 Description of Motion -- 3.2 Time Changes of Some Geometric Objects -- 3.3 Change of the Reference Frame -- 4 Balance Equations -- 4.1 Preliminary Remarks -- 4.2 Global Balance Equations -- 4.3 Local Balance Equations -- 4.4 Local Conservation Laws -- 4.5 Spatial Form of Balance Equations -- 4.6 Spatial Form of the Local Conservation Laws -- 4.7 Conservation Laws in a Non-Inertial Frame of Reference -- 5 Structure of Field Equations -- 5.1 Introductory Remarks -- 5.2 Isotropic Functions -- 5.3 Galilean Invariance of Field Equations -- 6 Entropy Principle -- 6.1 Preliminary Remarks -- 6.2 Entropy Inequality -- 6.3 Hyperbolicity of Field Equations -- 6.4 Thermoelastic Materials with Mechanical Constraints -- 6.5 Solid Interfaces -- 7 Ideal Gase -- 7.1 Introduction -- 7.2 Galilean Invariance; Material Frame Indifference -- 7.3 Entropy Inequality -- 7.4 Hyperbolicity -- 8 Maxwellian Fluids; Viscoelastic Solids Part 1: Maxwellian Fluids -- 8.1 Background of the Models of Maxwellian Fluids -- 8.2 Constitutive Relations for a Non-Conducting Non-Newtonian Fluid; Field Equations -- 8.3 Entropy Principle -- 8.4 Thermodynamical Stability; Shear Pulses -- 8.5 Incompressibility; 2nd Grade Fluids -- 8.6 Field Equations in the Lagrangian Description -- 8.7 Second-Order Model of Isotropic Materials -- 8.8 Linear Viscoelastic Solids -- 9 Second Sound -- 9.1 Preliminary Remarks -- 9.2 Thermodynamical Model of the Phonon Gas -- 9.3 Four-Field Model -- 9.4 Thermal Waves -- 10 Some Multicomponent System -- 10.1 Introduction -- 10.2 Lagrangian Description -- 10.3 Balance Equation for Porosity -- 10.4 Second Law of Thermodynamics for a Thermoelastic Skeleton and Ideal Fluid Components -- 10.5 Small Deviations from the Thermodynamical Equilibrium -- 10.6 Propagation of Plane Waves of Small Amplitude -- 10.7 Final Remarks -- Appendix A: Thermostatics -- Appendix B: Curvilinear Coordinates -- Appendix C: Hyperbolic Systems of PDE -- C.l. Preliminaries -- C.2. Single Equation of Two Independent Variables -- C.3. Set of Equations with Two Independent Variables -- C.4. Time of Existence of Classical Solutions -- C.5. Systems with Many Independent Variables -- References.
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| Abstract
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This textbook is for engineering and physics students and contains, in a concise form, the foundations of both continuum mechanics and modern continuum thermodynamics. It originates from numerous courses delivered by the author at various universities. In contrast to other books on these subjects, it is self-contained and has examples and remarks scattered throughout the text to illustrate the chosen procedures or definitions. Also exercises help the reader to understand the applicability and the limitations of thermodynamical models. The book is an excellent introduction to rational extended thermodynamics.
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Physics.
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Chemistry, Physical organic.
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Materials.
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| Added Entry
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SpringerLink (Online service)
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