III.3 The Three-Cylinder Model for Short Fibers

Kapitel in diesem Buch

1. Frontmatter I
2. Contents V
3. I. Preface 1
4. II. Introduction 5
5. III. Models for Composite Materials
6. III.1 General Aspects 9
7. III.2 The Three-Layer Model for Particulates Based on Thermal Expansion Measurements 11
8. III.3 The Three-Cylinder Model for Short Fibers 18
9. III.4 The Unfolding Models for Particulates 32
10. III.5 The Unfolding Models for Fiber-Reinforced Composites 53
11. IV. Retardation Spectra of Composites Indicating the Existence of a Mesophase 62
12. V. Static and Dynamic Properties of Composites as Influenced by the Mesophase
13. V.1 Static and Dynamic Moduli in Fiber Composites 70
14. V.2 Influence of the Mesophase on the Loss Tangent of Fiber Composites 82
15. V.3 Dynamic Properties of Particulates 86
16. V.4 Mechanical Properties of Particulates 94
17. V.5 Evaluation of Static and Dynamic Moduli in Particulates 102
18. VI. The Influence of the Mesophase on the Thermal Behavior of Composites
19. VI.1 Thermal Properties of Fiber-Reinforced Composites 110
20. VI.2 Thermal Properties of Particulates and Volume-Fraction of the Mesophase 117
21. VII. The Glass Transition of Composites and Influence of the Mesophase
22. VII.1 Variation of the Glass-Transition Temperature with Direction of Fibers in Composites 125
23. VII.2 Influence of the Mesophase on the Glass Transition of Particulates 132
24. VIII. Mechanisms of Moisture Absorption in Composites 140
25. IX. Shrinkage Stress at the Mesophase Developed During Casting
26. IX.1 Shrinkage Stress in Fiber-Reinforced Composites 157
27. IX.2 Shrinkage Stress in Particulates 170
28. IX.3 Shrinkage Stress Distribution Along a Fiber 178
29. X. Stress Singularities at the Mesophase due to the Geometry of Inclusions
30. X.1 General Aspects 182
31. X,2 Effect of Singularities at the Extremities of Fibers 182
32. X.3 Effect of Stress Raisers 208
33. XI. Stress Singularities in Cracked Phases
34. XI.1 Order of Singularities at the Apices of Multiwedges 226
35. XI.2 The Optical Method of Caustics for the Study of Singularities 235
36. XI.3 Singularities at Crack Tips of General Curvilinear Interfaces 251
37. XI.4 Composites Plates with Cracked or Notched Phases 261
38. References 274
39. Author Index 287
40. Subject Index 288