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Foundations of the non-linear mechanics of continua /
Foundations of the Non-Linear Mechanics of Continua.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Ruso |
| Publicado: |
Oxford :
Pergamon Press,
1966.
|
| Edición: | First edition. |
| Colección: | International series of monographs in interdisciplinary and advanced topics in science and engineering ;
v. 1. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Foundations of the Non-Linear Mechanics of Continua; Copyright Page; Table of Contents; EDITOR'S PREFACE; FOREWORD; INTRODUCTION; CHAPTER I. OUTLINE OF TENSOR CALCULUS; 1. CURVILINEAR SYSTEMS OF COORDINATES; 2. TRANSFORMATION OF COORDINATES; 3. THE CONCEPT OF A TENSOR AND THE FUNDAMENTALS OF THE ALGEBRA OF TENSORS; 4. TENSORS OF SECOND RANK; 5. TENSOR FUNCTIONS; 6. FUNCTIONS OF SEVERAL TENSORS; 7. TENSOR POTENTIAL FUNCTIONS; 8. DIFFERENTIATION OF TENSORS WITH RESPECT TO SPACE COORDINATES; 9. THE RIEMANN-CHRISTOFFEL TENSOR; 10. DIFFERENTIATION OF TENSORS WITH RESPECT TO PARAMETERS
- CHAPTER II. KINEMATICS OF A DEFORMABLE MEDIUM1. GENERAL FEATURES OF CONTINUOUS DEFORMATIONS; 2. AFFINE DEFORMATIONS; 3. REGULAR FINITE DISPLACEMENTS OF A CONTINUUM; 4. THE DEFORMATION TENSORS; 5. THE VECTOR OF ROTATION OF THE AXES OF DEFORMATION; 6. KINEMATIC TENSOBS CHABACTEBIZING A DEFOBMATION; 7. THE DIFFERENTIATION OF NON-LINEAR TENSOR FUNCTIONS; 8. THE CONDITIONS OF COMPATIBILITY; CHAPTER III. DYNAMIC AND THERMODYNAMIC EXPOSITION; 1. PHYSICAL CONSIDERATIONS; 2. THE CONCEPT OF A MATERIAL CONTINUUM; 3. THE EQUATIONS OF CONTINUITY; 4. DYNAMICAL EQUATIONS
- 5. THE THEOREM OF KINETIC ENERGY AND THE WORK OF THE INTERNAL SURFACE FORCES6. THERMODYNAMIC SYSTEMS AND CYCLES. THE EQUATION OF CONSERVATION OF ENERGY AND THE CONCEPT OF THE INTERNAL ENERGY OF A SYSTEM; 7. THE BASIC CONCEPTS AND CONSEQUENCES OF THE SECOND LAW OF THERMODYNAMICS; 8. IDEAL LIQUIDS AND GASES; 9. THE SIMPLEST IDEAL PROCESSES; 10. SPECIAL EXAMPLES OF IDEAL COMPRESSIBLE MEDIA; 11. THE EQUATIONS OF MOTION OF GAS MIXTURES WITH PHYSICO-CHEMICAL INTERACTION BETWEEN THE COMPONENTS; 12. VISCOUS LIQUIDS AND GASES; 13. THE TURBULENT FLOW OF CONTINUOUS MEDIA
- 14. THE MODEL OF AN ELASTIC BODY15. THERMOELASTIC ISOTROPIC MEDIA; 16. SOME REMARKS ON MECHANICAL MODELS FOR IRREVERSIBLE PROCESSES; 17. PLASTIC, ELASTIC AND TOTAL DEFORMATIONS; 18. THE ELASTIC RANGE AND THE LOADING SURFACE; 19. THE BASIC LAWS IN THE THEORIES OF PLASTIC BODIES; 20. MODELS OF PLASTIC MEDIA FOR WHICH THE LOADING SURFACE POSSESSES SINGULAR POINTS; REFERENCES; INDEX