Mechanics of Composite Materials

Mechanics of Composite Materials

Composite Materials, Vol. 2

1st Edition - January 28, 1974

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  • Editor: G. P. Sendeckyj
  • eBook ISBN: 9781483216683

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Composite Materials, Volume 2: Mechanics of Composite Materials deals with the prediction of the deformation behavior and strength of composite materials. The book discusses the basic concepts in micromechanics, definition of effective moduli, and the influence of the number of fibers through-the-thickness within a single composite layer on the effective properties. The text also describes the exact moduli of anisotropie laminates; the elastic behavior of composites; and the viscoelastic behavior and analysis of composite materials. The elastoplastic behavior of composites, and the application of statistical theories for the determination of thermal, electrical, and magnetic properties of heterogeneous materials are also considered. The book further tackles the finite deformations of ideal fiber-reinforced composites; wave propagation and vibrations in directionally reinforced composites; and the phenomenological anisotropie failure criterion. The text also looks into the photoelastic investigation of composites. Civil engineers, mechanical engineers, aerospace engineers, and people involved in the study of non-metallic materials will find the book invaluable.

Table of Contents

  • List of Contributors


    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


    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


    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



    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


    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


    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



    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


    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


    9 Phenomenological Anisotropic Failure Criterion

    I. Introduction

    II. Mathematical Modeling

    III. Experiments

    IV. Data Analysis

    V. Summary

    List of Symbols


    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


    Author Index

    Subject Index

Product details

  • No. of pages: 520
  • Language: English
  • Copyright: © Academic Press 1974
  • Published: January 28, 1974
  • Imprint: Academic Press
  • eBook ISBN: 9781483216683

About the Editor

G. P. Sendeckyj

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