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The lectures here reported were first delivered in August and September, 1965, for the Department of Mechanical and Aerospace Engi neering at syracuse University, New York under the sponsorship of the New York State Science and Technology Foundation. Lectures 1-6 and 22-23 are revised from a version prepared by Professor Kin N. Tong on the basis of a transcription of the lectures, kindly provided by Professor S. Eskinazi. The remainder of th~ text has been written out afresh from my own notes. Much of the same ground was covered in my lectures to the Austra lian Mathematical Society's Summer Research Institute at Melbourne in January and February, 1966, and for the parts affected the text conforms to this latter presentation. I am grateful to Professors C.-C. Wang and K. N. Tong for criticism of the manuscript. These lectures constitute a course, not a treatise. Names are attached to theorems justly, to the best of my knowledge, but are not intended to replace a history of the subject or references to the sources.
List of contents
I. General Principles.- 1. Bodies and Motions.- 2. Kinematics. Changes of Frame.- 3. Forces. Constitutive Equations. Simple Materials.- 4. Reduced Constitutive Equations. Internal Constraints.- 5. Homogeneous Motions of Simple Bodies.- 6. The Isotropy Group. Solids, Isotropic Materials, Fluid Crystals.- 7. Motions with Constant Stretch History.- II. Fluids.- 8. The Stress System in Viscometric Flows of Incompressible Fluids.- 9. Dynamical Conditions in Viscometric Flows.- 10. Impossibility of Rectilinear Flow in Pipes.- III. Elastic Materials.- 11. Elastic Materials.- 12. Normal Tractions in Simple Shear of Isotropic Bodies.- 13. Some Non-homogeneous Deformations of Isotropic Incompressible Materials.- 14. Infinitesimal Deformations.- 15. Iterative Solutions in Elasticity.- 16. Inequalities for Isotropic Materials.- 17. A General Inequality.- 18. Wave Propagation.- 19. Infinitesimal Stability and Uniqueness.- 20. Hyperelastic Materials.- 21. Work Theorems in Hyperelasticity.- IV. Fading Memory.- 22. Principles of Fading Memory.- 23. Positions for the Classical Theories of Continua.- 24. The Incompressible Fluid of Second Grade.- 25. Secondary Flows in Pipes.- V. Thermodynamics.- 26. Thermodynamics of Homogeneous Processes.- 27. Thermodynamics of Simple Materials.- 28. Waves in Materials with Fading Memory.- VI. Statics.- 29. Stability in Energy. Variational Theorems.- 30. Thermoelastic Equilibrium.
