Micromechanics of Composites: Multipole Expansion Approach is the first book to introduce micromechanics researchers to a more efficient and accurate alternative to computational micromechanics, which requires heavy computational effort and the need to extract meaningful data from a multitude of numbers produced by finite element software code. In this book Dr. Kushch demonstrates the development of the multipole expansion method, including recent new results in the theory of special functions and rigorous convergence proof of the obtained series solutions. The complete analytical solutions and accurate numerical data contained in the book have been obtained in a unified manner for a number of the multiple inclusion models of finite, semi- and infinite heterogeneous solids. Contemporary topics of micromechanics covered in the book include composites with imperfect and partially debonded interface, nanocomposites, cracked solids, statistics of the local fields, and brittle strength of disordered composites.
Kushch
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Zielgruppe
<p>A multidisciplinary audience consisting of researchers, professionals and graduate students in materials science, mechanics, engineering, applied mathematics, physics and related areas dealing with heterogeneous solids. </p>
Weitere Infos & Material
1. Introduction2. Potential fields of interacting spherical inclusions3. Periodic multipoles: application to composites4. Elastic solid with spherical inclusions5. Elasticity of composite half-space, layer and bulk6. Conductivity of a solid with spheroidal inclusions7. Elastic solid with spheroidal inclusions8. Composites with transversely isotropic constituents9. Circular fiber composite with perfect interfaces10. Fibrous composite with interface cracks11. Solids with elliptic inclusions12. Fibrous composite with anisotropic constituentsReferences
Kushch, Volodymyr
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.
