“Strength of Fibrous Composites” addresses evaluation of the strength of a fibrous composite by using its constituent material properties and its fiber architecture parameters. Having gone through the book, a reader is able to predict the progressive failure behavior and ultimate strength of a fibrous laminate subjected to an arbitrary load condition in terms of the constituent fiber and matrix properties, as well as fiber geometric parameters. The book is useful to researchers and engineers working on design and analysis for composite materials.

1 Background

 1.1 Scope of This Book

 1.2 Linear Elasticity

1.2.1 Isotropic Material

1.2.2 Transversely Isotropic Material

1.2.3 Orthotropic Material

 1.3 Basic Concepts

1.3.1 Representative Volume Element (RVE)

1.3.2 Volume Averaged Stress and Strain

1.3.3 Maximum Fiber Volume Fraction

 1.4 Micromechanics

1.4.1 Rule of Mixture Formulae

1.4.2 Chamis Formulae

1.4.3 Hill-Hashin-Christensen-Lo Formulae

 1.5 Eshelby's Problem

1.5.1 Eshelby's Approach

1.5.2 Eshelby's Tensor

1.5.3 Equivalent Inclusion

 1.6 Coordinate Transformation

 References

2 Plastic Theories of Isotropic Media

 2.1 Introduction

 2.2 Prandtl-Reuss Elasto-Plastic Theory

 2.3 2D Prandtl-Reuss formulae

 2.4 Bodner-Partom Unified Plasticity Theory

 2.5 Conversion of Bodner-Partom Model into Prandtl-Reuss Equations

 References

3 Bridging Micromechanics Model

 3.1 Introduction

 3.2 Model Development

 3.3 Characterization of Bridging Matrix

 3.4 Mori-Tanaka Approach

 3.5 Determination of Bridging Matrix

 3.6 Effective Elastic Moduli

 3.7 Unified Formulae for Elastic Moduli

 3.8 Plastic Theory

 3.9 Planar Stress Formulae

 3.10 Thermal Analysis

 References

4 Strength of UnidirectionaIComposites

 4.1 Introduction

 4.2 Failure Criteria

4.2.1 Strength Theories for Isotropic Materials

4.2.2 Composite Strength Theories

 4.3 Strength Formulae under Uniaxial Loads

 4.4 Off-axial Strength

 4.5 Strength Envelope under Combined Loads

 4.6 Strength at Elevated Temperature

 4.7 Fatigue Strength and Life Prediction

 References

5 Strength of Muitidirectional Laminates

 5.1 Introduction

 5.2 Stacking Code and Global Coordinates

 5.3 Classical Laminate Theory

5.3.1 Isothermal Theory

5.3.2 Convention for Positive Shear Stress

5.3.3 Thermal Analysis

5.3.4 Coupled Thermal-Mechanical Analysis

 5.4 Fatal or Nonfatal Failure

 5.5 Stiffness Degradation

 5.6 Inter-layer in between Adjacent Laminae

 5.7 Ultimate Failure criteria

 5.8 Pseudo 3D Laminate Theory

 5.9 Constituent Properties

 5.10 Inelastic Response

 5.11 Biaxial Strength Envelope

 5.12 Strength Under Thermo-Mechanical Load

 5.13 Fatigue Life Prediction

 5.14 Prediction for WWFE-I Problems

 5.15 Prediction for the WWFE-II Problems

 5.16 Concluding Remarks

5.16.1 Laminate Theory

5.16.2 Effect of the Load Application Manner

5.16.3 Definition of Fiber and Matrix Properties

5.16.4 Failure Criteria

5.16.5 Analysis of Composite Structures

5.16.6 Application to Other Kinds of Composites

 References

6 Computer Routine Implementation

 6.1 Introduction

 6.2 Description of the Computer Routine

6.2.1 Main Routine and Data Input Module

6.2.2 Solution Module

6.2.3 Results Module

 6.3 Explanation of Input Data

 6.4 Original Code of the Computer Routine

 6.5 Examples

6.5.1 Example 6-1

6.5.2 Example 6-2

6.5.3 Example 6-3

6.5.4 Example 6-4

Index