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Micromechanics of Composites
Multipole Expansion Approach
- 2nd Edition - February 15, 2020
- Author: Volodymyr Kushch
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 8 2 3 2 5 3 - 8
- eBook ISBN:9 7 8 - 0 - 1 2 - 8 2 2 3 8 0 - 2
Micromechanics of Composites: Multipole Expansion Approach, Second Edition outlines substantial recent progress in the development of the multipole expansion method and focuses o… Read more
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Request a sales quoteMicromechanics 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
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
- No. of pages: 640
- Language: English
- Edition: 2
- Published: February 15, 2020
- Imprint: Butterworth-Heinemann
- Paperback ISBN: 9780128232538
- eBook ISBN: 9780128223802
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Volodymyr Kushch
Prof. Volodymyr Kushch is Leading Research Scientist, Institute for Superhard Materials of the National Academy of Sciences of Ukraine. He is the author of Micromechanics of Composites as well as dozens of peer-reviewed papers. He has over thirty years of research and industry experience in micromechanics of composites and computational mechanics, with research interests that include advanced analytical and numerical methods in mechanics of heterogeneous solids, suspensions and bubbly liquids, computational materials science, mathematical physics, and more.
Affiliations and expertise
Head of Laboratory, Institute for Superhard Materials, The National Academy of Sciences of UkraineRead Micromechanics of Composites on ScienceDirect