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.
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Table of Contents
1. Multipole expansion approach2. Potential fields of interacting spherical inhomogeneities3. Periodic multipoles and RUC model of composite4. Elastic solid with spherical inhomogeneities5. Elasticity of composite half-space, layer and bulk6. Conductivity of solid with spheroidal inhomogeneities7. Elastic solid with spheroidal inhomogeneities8. Composites with transversely isotropic constituents9. Conductivity of ellipsoidal particle composite10. Elasticity of ellipsoidal particle composite11. Circular fiber composite with perfect interfaces12. Fibrous composite with interface cracks13. Solids with elliptic inhomogeneities14. Cracked solids15. Elliptic fiber composite with imperfect interface16. Fibrous composite with anisotropic constituents
AppendixA. Spherical harmonics and related theoryB. Spheroidal harmonics and related theoryC. Ellipsoidal harmonics and related theoryD. Selected properties of R_x0015_ and X_x0015_ functionsE. Elliptic harmonics and related theory
