Thermodynamics and Rheology

ISBN-13: 9780792342519 / Angielski / Twarda / 1997 / 226 str.

Jozsef Verhas; J. Verhas; J. Verhs

Opis

This book presents a general classical field theory, incorporating continuum mechanics, electrodynamics, and thermodynamics. The continuum equations of material behavior are derived from the principles of Onsager's non-equilibrium thermodynamics supplemented with dynamic degrees of freedom.
The book contains the basic principles and methods of modern continuum mechanics and of rheology. Non-equilibrium thermodynamics is discussed in detail.
Applications include elasticity, thermoelasticity, viscoelasticity, plasticity, rheooptics, etc. The models of rheology are developed within a consistent thermodynamic framework. Viscoelastic and plastic response, Ostwald's curve of generalized Newtonian fluids, creep, elasticity preceding plastic flow, the rules of rheooptics, etc., are discussed, and the empirical Cox-Merz rule is proved. The thermodynamic results are compared to the results of microscopic theories. Several kinds of colloids, polymers, and liquid crystals are studied.
The technical level of the book is high. It is designed for engineers, physicists, natural scientists and applied mathematicians.

Spis treści

Introduction. I. Kinematics. II. Dynamics. III. Deformation and Stress. IV. Non-Equilibrium Thermodynamics. V. Thermodynamics of Deformation. Systems Close to Equilibrium. VI. Thermodynamics of Deformation. Systems Far From Equilibrium. VII. Electric Polarization in Flowing Media. VIII. Applications of the Theory. Appendix: A.1. The Basic Operations. A.2. Symmetric and Antisymmetric Tensors. A.3. Tensor Products. A.4. Eigenvalues and Invariants. A.5. Orthogonal Tensors. A.6. Isotropic Tensors. A.7. Derivatives. A.8. Integral Theorems. References.