Continuum thermodynamics. Part II applications and examples
This second part of Continuum Thermodynamics is designed to match almost one-to-one the chapters of Part I. This is done so that the reader studying thermodynamics will have a deepened understanding of the subjects covered in Part I. The aims of the book are in particular: the illustration of basic...
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| Main Authors: | , |
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| Format: | Book |
| Language: | English |
| Published: |
Hackensack, NJ Singapore
World Scientific
[2015]
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| Series: | Series on advances in mathematics for applied sciences
vol. 85 |
| Subjects: | |
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Table of Contents:
- 1. Introduction
- 2. Geometry of deformations of solids.
- 2.1. Summary: Geometry.
- 2.2. Universal solutions.
- 2.3. A few examples of universal deformations
- 3. Kinematics of continua in different descriptions.
- 3.1. Summary: Kinematics of one-component media.
- 3.2. Two-component materials with the skeleton as reference
- 4. Balance equations
- 5. Some solutions for fluids and solids.
- 5.1. Preliminaries.
- 5.2. D'Alembert paradox.
- 5.3. Fluids.
- 5.4. Nonlinear elastic solids.
- 5.5. Viscoelastic solids
- 6. Stability.
- 6.1. Preliminaries.
- 6.2. Stability of the torsional Couette flow.
- 6.3. Thermal instability of a layer of fluid heated from below
- Rayleigh-Benard problem.
- 6.4. Stability of a nonlinear elastic strip.
- 6.5. Stability of the thermodynamical equilibrium of second-grade fluids
- 7. Thermodynamical problems.
- 7.1. Some heat conduction problems.
- 7.2. Heat conduction in anisotropic solids.
- 7.3. Thermal boundary layers.
- 7.4. Composite beams with embedded shape memory alloy
- 8. Extended thermodynamics of Jou-Casas-Vazquez-Lebon.
- 8.1. Summary of Extended Irreversible Thermodynamics (EIT).
- 8.2. Microscopic foundations.
- 8.3. Final comments
- 9. Dislocations.
- 9.1. Introduction.
- 9.2. Continuum with dislocations.
- 9.3. On plasticity of metals.
- 9.4. Dislocations in geophysics
- 10. Acoustic waves.
- 10.1. Preliminaries.
- 10.2. Propagation of acoustic waves in nonlinear materials with memory.
- 10.3. Bulk waves in nonlinear elasticity.
- 10.4. Water waves and surface waves in linear solids.
- 10.5. A few remarks on leaky waves.
- 10.6. Bulk and surface waves in viscoelastic solids
- 11. Interactions of ponderable bodies with electromagnetic fields.
- 11.1. Preliminaries.
- 11.2. Primer of Maxwell theory of electromagnetism.
- 11.3. On thermodynamics of coupled fields.
- 11.4. Magnetohydrodynamics of plasmas.
- 11.5. Magnetohydrodynamics of a single component fluid.
- 11.6. A few remarks on the stability of plasmas
- 12. Mechanics of porous materials.
- 12.1. Summary of two-component models.
- 12.2. Two-component models with constitutive relations for the porosity.
- 12.3. Double- and multi-porosity models.
- 12.4. Biomechanics of soft tissues
- 13. Thermodynamics of porous materials with the porosity balance.
- 13.1. Summary: Balance equation of porosity and associated models.
- 13.2. Freezing and thawing.
- 13.3. Linear stability of a 1D flow under transversal disturbance with adsorption.
- 13.4. Wave propagation in porous media with anisotropic permeability.
- 13.5. Wave propagation in three-component porous media.
- App.A. Basic notions
- App.B. Integral transforms
- App.C. Green functions
- App.D. Bessel functions and Bessel equation
- App. E. Basic physical units