Mechanics and Analysis of Composite Materials

V.V. Vasiliev, E. Morozov0080427022, 9780080427027, 9780080536057

This book is concerned with the topical problems of mechanics of advanced composite materials whose mechanical properties are controlled by high-strength and high-stiffness continuous fibers embedded in polymeric, metal, or ceramic matrix. Although the idea of combining two or more components to produce materials with controlled properties has been known and used from time immemorial, modern composites have been developed only several decades ago and have found by now intensive application in different fields of engineering, particularly, in aerospace structures for which high strength-to-weightand stiffnessto-weight ratios are required.

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Table of contents :
Cover……Page 1
Half Title Page……Page 2
Title Page……Page 3
Copyright……Page 4
Preface……Page 5
Table of Contents……Page 8
1.1. Structural Materials……Page 11
1.2. Composite Materials……Page 19
1.3. References……Page 37
2.1. Stresses……Page 39
2.2. Equilibrium Equations……Page 40
2.3. Stress Transformation……Page 42
2.4. Principal Stresses……Page 44
2.5. Displacements and Strains……Page 46
2.6. Transformation of Small Strains……Page 49
2.7. Compatibility Equations……Page 50
2.9. Constitutive Equations for an Elastic Solid……Page 51
2.10. Formulations of the Problem……Page 58
2.11. Variational Principles……Page 59
2.12. References……Page 63
3.1. Ply Architecture……Page 64
3.2. Fiber-Matrix Interaction……Page 67
3.3. Micromechanics of a Ply……Page 89
3.4. Mechanical Properties of a Ply under Tension, Shear, and Compression……Page 104
3.5. Hybrid Composites……Page 122
3.6. Phenomenological Homogeneous Model of a Ply……Page 126
3.7. References……Page 128
4.1. Isotropic Layer……Page 130
4.2. Unidirectional Orthotropic Layer……Page 149
4.3. Unidirectional Anisotropic Layer……Page 156
4.4. Orthogonally Reinforced Orthotropic Layer……Page 172
4.5. Angle-Ply Orthotropic Layer……Page 193
4.6. Fabric Layers……Page 214
4.7. Lattice Layer……Page 221
4.8. Spatially Reinforced Layers and Bulk Materials……Page 223
4.9. References……Page 231
5.1. Stiffness Coefficients of a Generalized Anisotropic Layer……Page 233
5.2. Stiffness Coefficients of a Homogeneous Layer……Page 244
5.3. Stiffness Coefficients of a Laminate……Page 246
5.4. Quasi-Homogeneous Laminates……Page 248
5.5. Quasi-Isotropic Laminates……Page 251
5.6. Symmetric Laminates……Page 253
5.7. Antisymmetric Laminates……Page 256
5.8. Sandwich Structures……Page 257
5.9. Coordinate of the Reference Plane……Page 259
5.10. Stresses in Laminates……Page 262
5.11. Example……Page 264
5.12. References……Page 277
6.1. Failure Criteria for an Elementary Composite Layer or Ply……Page 278
6.2. Practical Recommendations and Discussion……Page 292
6.3. Examples……Page 301
6.4. References……Page 307
7.1. Temperature Effects……Page 308
7.2. Hygrothermal Effects and Aging……Page 324
7.3. Time and Time-Dependent Loading Effects……Page 326
7.4. Manufacturing Effects……Page 357
7.5. References……Page 369
8.1. Optimal Fibrous Structures……Page 371
8.2. Composite Laminates of Uniform Strength……Page 378
8.3. Application to Pressure Vessels……Page 385
8.4. References……Page 398
Author Index……Page 399
Subject Index……Page 402
Back Cover……Page 418