Keywords:
Thermodynamics.
;
Continuum mechanics.
;
Electronic books.
Description / Table of Contents:
North-Holland Series in Applied Mathematics and Mechanics, Volume 21: An Introduction to Thermomechanics, Second Revised Edition focuses on the methodologies, reactions, and processes involved in thermomechanics, including kinematics, thermodynamics, elasticity, and tensors. The book first offers information on kinematics, kinetics, and thermodynamics. Discussions focus on field theory, state variables, momentum theorems, state of stress, energy theorem, state of motion, small displacements, and material derivatives. The manuscript then ponders on material properties, ideal liquids, linear elasticity, and inviscid gases. The text elaborates on viscous fluids, plastic bodies, viscoelasticity, and general tensors. Topics include tensor algebra, mechanical constitutive relations, thermomechanical extension, hereditary integrals, perfectly plastic bodies, turbulence, and basic equations. The book then reviews viscoelastic bodies, plasticity, non-Newtonian liquids, and maximal dissipation. The publication is a valuable reference for researchers wanting to dig deeper into thermomechanics.
Type of Medium:
Online Resource
Pages:
1 online resource (370 pages)
Edition:
2nd ed.
ISBN:
9780444598936
Series Statement:
Issn Series ; v.Volume 21
URL:
https://ebookcentral.proquest.com/lib/geomar/detail.action?docID=1179964
DDC:
536.7
Language:
English
Note:
Front Cover -- An Introduction to Thermomechanics -- Copyright Page -- Table of Contents -- PREFACE -- CHAPTER 1. MATHEMATICAL PRELIMINARIES -- 1.1. Cartesian tensors -- 1.2. Tensor algebra -- 1.3. Principal axes -- 1.4. Invariants and isotropic tensor functions -- 1.5. Tensor analysis -- CHAPTER 2. KINEMATICS -- 2.1. The state of motion -- 2.2. Small displacements -- 2.3. Material derivatives -- 2.4. Continuity -- CHAPTER 3. KINETICS -- 3.1. The momentum theorems -- 3.2. The state of stress -- 3.3. The energy theorem -- CHAPTER 4. THERMODYNAMICS -- 4.1. The classical theory -- 4.2. State variables -- 4.3. The field theory -- CHAPTER 5. MATERIAL PROPERTIES -- 5.1. Basic concepts -- 5.2. Fluids -- 5.3. Elastic solids -- CHAPTER 6. IDEAL LIQUIDS -- 6.1. Basic equations -- 6.2. Steady potential flows -- 6.3. The plane problem -- CHAPTER 7. LINEAR ELASTICITY -- 7.1. Basic equations -- 7.2. Torsion -- 7.3. Crystals -- 7.4. Thermoelasticity -- CHAPTER 8. INVISCID GASES -- 8.1. Basic equations -- 8.2. Simple applications -- 8.3. Subsonic and supersonic flow -- CHAPTER 9. VISCOUS FLUIDS -- 9.1. Basic equations -- 9.2. Incompressible Newtonian liquids -- 9.3. Turbulence -- 9.4. Non-Newtonian liquids -- CHAPTER 10. PLASTIC BODIES -- 10.1. Viscoplastic bodies -- 10.2. Perfectly plastic bodies -- 10.3. Plane problems -- 10.4. Generalizations -- CHAPTER 11. VISCOELASTICITY -- 11.1. One-dimensional models -- 11.2. Hereditary integrals -- 11.3. Mechanical constitutive relations -- 11.4. Thermomechanical extension -- CHAPTER 12. GENERAL TENSORS -- 12.1. Tensor algebra -- 12.2. Tensor analysis -- CHAPTER 13. LARGE DISPLACEMENTS -- 13.1. Displacements and strains -- 13.2. Stresses and power of deformation -- CHAPTER 14. THERMODYNAMIC ORTHOGONALITY -- 14.1. The governing functions -- 14.2. Thethermodynamic forces -- 14.3. The orthogonality condition.
,
14.4. Compound and complex processes -- 14.5. Dissipation surfaces -- CHAPTER 15. MAXIMAL DISSIPATION -- 15.1. Extremum principles -- 15.2. Adeformation mechanism -- 15.3. Maximal entropy production and the second law -- 15.4. Application to continua -- CHAPTER 16. NON-NEWTONIAN LIQUIDS -- 16.1. Compound response -- 16.2. The Green-Rivlin effect -- 16.3. Complex response -- CHAPTER 17. PLASTICITY -- 17.1. Creep of metals -- 17.2. Perfect plasticity -- 17.3. The yield surface -- 17.4. A generalization -- 17.5. Hardening and elasto-plastic materials -- 17.6. Pressure dependent yield -- CHAPTER 18. VISCOELASTIC BODIES -- 18.1. One-dimensional models -- 18.2. Constitutive equations -- 18.3. Hereditary integrals -- CONCLUSION -- BIBLIOGRAPHY -- SUBJECT INDEX.
Permalink