Page 12 - Mechanics Analysis Composite Materials

CONTENTS

Preface v

Chapter 1. Introduction 1

1.1. Structural Materials 1
1.2. Composite Materials 9
1.2.1. Fibers for Advanced Composites 10
1.2.2. Matrix Materials 16
1.2.3. Processing 21
1.3. References 27
Chapter 2. Fundamentals of Mechanics of Solids 29

2.1. Stresses 29
2.2. Equilibrium Equations 30
2.3. Stress Transformation 32
2.4. Principal Stresses 34
2.5. Displacements and Strains 36
2.6. Transformation of Small Strains 39
2.7. Compatibility Equations 40
2.8. Admissible Static and Kinematic Fields 41
2.9. Constitutive Equations for an Elastic Solid 41
2.10. Formulations of the Problem 48
2.11. Variational Principles 49
2.11.1. Principle of Minimum Total Potential Energy 50
2.1 1.2. Principle of Minimum Strain Energy 52
2.11.3. Mixed Variational Principles 52
2.12. References 53

Chapter 3. Mechanics of a Unidirectional Ply 55

3.1. Ply Architecture 55
3.2. Fiber-Matrix Interaction 58
3.2.1. Theoretical and Actual Strength 58
3.2.2. Statistical Aspects of Fiber Strength 62
3.2.3. Stress Diffusion in Fibers Interacting Through the Matrix 65
3.2.4. Fracture Toughness 79
3.3. Micromechanics of a Ply 80
3.4. Mechanical Properties of a Ply under Tension, Shear, and
Compression 95

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