Micromechanics of Composites

Multipole Expansion Approach

Volodymyr Kushch

• Publisher: Butterworth-Heinemann
• Year: 2020
• Edition: 2
• eBook ISBN:
  9780128223802
• Topic: Tecnologia e ingegneria
• Subtopic: Scienza dei materiali

Micromechanics of Composites: Multipole Expansion Approach, Second Edition outlines substantial recent progress in the development of the multipole expansion method and focuses on its application to actual micromechanical problems. The book covers micromechanics topics such as conductivity and elasticity of particulate and fibrous composites, including those with imperfect and partially debonded interfaces, nanocomposites, cracked solids, and more. Complete analytical solutions and accurate numerical data are presented in a unified manner for the multiple inhomogeneity models of finite, semi-, and infinite heterogeneous solids. This new edition has been updated to include the theories and techniques of the multipole expansion method. Two entirely new chapters covering the conductivity and elasticity of composites with ellipsoidal inhomogeneities and anisotropic constituents have been added. A special emphasis is made on the heterogeneous solids with imperfect interfaces, including the nanoporous and nanocomposite materials. - Gives a systematic account on the multipole expansion method, including its theoretical foundations, analytical and numerical techniques, and a new, dipole moment-based approach to the homogenization problem - Contains detailed analytical and numerical analyses of a variety of micromechanical multiple inhomogeneity models, providing clear insight into the physical nature of the problems under study - Provides a reliable theoretical framework for developing the full-field based micromechanical theories of a composite's strength, brittle/fatigue damage development, and other properties

Table of contents

• Cover image
• Title page
• Table of Contents
• Copyright
• Preface to the first edition
• Preface to the second edition
• Chapter One: Multipole expansion approach
• Part One: Particulate composites
• Chapter Two: Potential fields of interacting spherical inhomogeneities
• Chapter Three: Periodic multipoles and RUC model of a composite
• Chapter Four: Elastic solid with spherical inhomogeneities
• Chapter Five: Elasticity of composite half-space, layer, and bulk
• Chapter Six: Conductivity of a solid with spheroidal inhomogeneities
• Chapter Seven: Elastic solid with spheroidal inhomogeneities
• Chapter Eight: Composites with transversely isotropic constituents
• Chapter Nine: Conductivity of an ellipsoidal particle composite
• Chapter Ten: Elasticity of an ellipsoidal particle composite
• Part Two: Fibrous composites: 2D models
• Chapter Eleven: Circular fiber composite with perfect interfaces
• Chapter Twelve: Fibrous composite with interface cracks
• Chapter Thirteen: Solids with elliptic inhomogeneities
• Chapter Fourteen: Cracked solids
• Chapter Fifteen: Elliptic fiber composite with an imperfect interface
• Chapter Sixteen: Fibrous composite with anisotropic constituents
• Appendix A: Spherical harmonics and related theory
• Appendix B: Spheroidal harmonics and related theory
• Appendix C: Ellipsoidal harmonics and related theory
• Appendix D: Selected properties of functions Rλ and Xλ
• Appendix E: Elliptic harmonics and related theory
• Bibliography
• Index