Cargando…
Introduction to continuum mechanics /
Continuum mechanics studies the response of materials to different loading conditions. The concept of tensors in introduced through the idea of linear transformation in a self-contained chapter, and the interrelation of direct notation, indicial notation and matrix operations is clearly presented. A...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford ; New York :
Pergamon Press,
1993.
|
| Edición: | 3rd ed. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Introduction to Continuum Mechanics; Copyright Page; Table of Contents; Preface to the Third Edition; Preface to the First Edition; The Authors; Chapter 1. Introduction; 1.1 Continuum Theory; 1.2 Contents of Continuum Mechanics; Chapter 2. Tensors; Part A The Indicial Notation; Part B Tensors; Part C Tensor Calculus; Part D Curvilinear Coordinates; Chpter 3. Kinematics of a Continuum; 3.1 Description of Motions of a Continuum; 3.2 Material Description and Spatial Description; 3.3 Material Derivative; 3.4 Acceleration of a Particle in a Continuum; 3.5 Displacement Field
- 3.6 Kinematic Equations For Rigid Body Motion3.7 Infinitesimal Deformations; 3.8 Geometrical Meaning of the Components of the Infinitesimal Strain Tensor; 3.9 Principal Strain; 3.10 Dilatation; 3.11 The Infinitesimal Rotation Tensor; 3.12 Time Rate of Change of a Material Element; 3.13 The Rate of Deformation Tensor; 3.14 The Spin Tensor and the Angular Velocity Vector; 3.15 Equation of Conservation of Mass; 3.16 Compatibility Conditions for Infinitesimal Strain Components; 3.17 Compatibility Conditions for the Rate of Deformation Components; 3.18 Deformation Gradient
- 3.19 Local Rigid Body Displacements3.20 Finite Deformation; 3.21 Polar Decomposition Theorem; 3.22 Calculation of the Stretch Tensor from the Deformation Gradient; 3.23 Right Cauchy-Green Deformation Tensor; 3.24 Lagrangian Strain Tensor; 3.25 Left Cauchy-Green Deformation Tensor; 3.26 Eulerian Strain Tensor; 3.27 Compatibility Conditions for Components of Finite Deformation Tensor; 3.28 Change of Area due to Deformation; 3.29 Change of Volume due to Deformation; 3.30 Components of Deformation Tensors in other Coordinates; 3.31 Current Configuration as the Reference Configuration; Problems
- Chapter 4. Stress4.1 Stress Vector; 4.2 Stress Tensor; 4.3 Components of Stress Tensor; 4.4 Symmetry of Stress Tensor
- Principle of Moment of Momentum; 4.5 Principal Stresses; 4.6 Maximum Shearing Stress; 4.7 Equations of Motion
- Principle of Linear Momentum; 4.8 Equations of Motion in Cylindrical and Spherical Coordinates; 4.9 Boundary Condition for the Stress Tensor; 4.10 Piola Kirchhoff Stress Tensors; 4.11 Equations of Motion Written With Respect to the Reference Configuration; 4.12 Stress Power; 4.13 Rate of Heat Flow Into an Element by Conduction; 4.14 Energy Equation