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Micromechanics of Composites: Multipole Expansion Approach

Autor Volodymyr Kushch
en Limba Engleză Paperback – 18 feb 2020
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
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Specificații

ISBN-13: 9780128232538
ISBN-10: 0128232536
Pagini: 640
Ilustrații: 350 illustrations (50 in full color)
Dimensiuni: 152 x 229 mm
Greutate: 0.84 kg
Ediția:2
Editura: ELSEVIER SCIENCE

Public țintă

Academic researchers and professional engineers/material scientists working in mechanics of materials, computational materials science, mechanical and chemical engineering, civil engineering

Cuprins

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

Recenzii

"Kushch presents the multipole expansion method as an alternative to computational micromechanics for analyzing heterogeneous materials on the level of individual constituents. Being mostly analytical in nature, he says, it constitutes a theoretical basis for high-performance computational algorithms and has found applications in astronomy, physics, chemistry, engineering, statistics, and other fields." --Reference & Research Book News, October 2013