Mechanics of Composite Materials

List of Contributors

Foreword

Preface to Volume 2

Contents of Previous Volume


1 The Role of Effective Moduli in the Elastic Analysis of Composite Laminates

I. Introduction

II. Basic Concepts in Micromechanics

III. Laminate Analysis

IV. Comparison of Basic Definitions of Effective Moduli

V. Mathematical and Physical Definitions of Effective Moduli

VI. Influence of Number of Fiber Rows

VII. Surface Strains

VIII. Effective Flexural Rigidity

IX. Concluding Remarks

References


2 Exact Moduli of Anisotropic Laminates

I. Introduction

II. General Formulation of Effective Constitutive Law

III. Reduction to Classical Lamination Theory

IV. Boundary Layer Response

V. Illustrative Problem

VI. Summary

References


3 Elastic Behavior of Composites

I. Introduction

II. Some Exact Results

III. Approximations for the Effective Elastic Moduli

IV. Variational Approach

V. Regular Array Models

VI. Statistical Formulation

VII. Additional Results

VIII. Discussion and Recommendations for Future Work

Appendix: Coefficients of Thermal Expansion

References

Bibliography


4 Viscoelastic Behavior and Analysis of Composite Materials

I. Introduction

II. Linear Behavior

III. Correspondence Principles and Approximate Methods of Analysis

IV. Prediction of Effective Viscoelastic Properties

V. Analysis of Viscoelastic Structures

VI. Nonlinear Behavior

References


5 Elastoplastic Behavior of Composites

I. Introduction

II. Elastoplastic Constitutive Relations

III. Simple Model Analyses

IV. Rigorous Analyses

V. Needs for Additional Research

List of Symbols

References


6 Application of Statistical Theories for the Determination of Thermal, Electrical, and Magnetic Properties of Heterogeneous Materials

I. Introduction

II. Basic Equations

III. Statistical Formulation

IV. Equations Governing the Mean Field

V. Effective Constants

VI. Comparison of Theory and Experiment

VII. Applications

VIII. Summary

References

Bibliography


7 Finite Deformations of Ideal Fiber-Reinforced Composites

I. Introduction

II. Infinitesimal Plane Deformations

III. Finite Plane Deformations

IV. Plane Deformations with Uniform Axial Stretching

V. Axisymmetric Deformations

VI. General Three-Dimensional Theory

References


8 Waves and Vibrations in Directionally Reinforced Composites

I. Introduction

II. The Effective Modulus Theory

III. Wave Motions in a Laminated Medium—Exact Theory

IV. Advanced Theories and Mathematical Approaches

V. Experimental Results

VI. Concluding Remarks

Appendix A: On the Propagation of Mechanical Disturbances

Appendix B: Some Results on the Dynamics of Linearly Elastic Solids

References


9 Phenomenological Anisotropic Failure Criterion

I. Introduction

II. Mathematical Modeling

III. Experiments

IV. Data Analysis

V. Summary

List of Symbols

References


10 Photoelastic Investigation of Composites

I. Introduction

II. Fundamentals of Photoelasticity

III. Two-Dimensional Model Analyses of Stresses on a Transverse Plane

IV. Two-Dimensional Model Analyses of Stresses on an Axial Plane

V. Microphotoelastic Investigations

VI. Three-Dimensional Model Studies

VII. Dynamic Investigations

References

Author Index

Subject Index