Micromechanics of Composites: Multipole Expansion Approach

Volodymyr Kushch

Mey 2013 · Butterworth-Heinemann

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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. - Contains detailed analytical and numerical analyses of a variety of micromechanical multiple inclusion models, providing clear insight into the physical nature of the problems under study - Provides researchers with a reliable theoretical framework for developing the micromechanical theories of a composite's strength, brittle/fatigue damage development and other properties - Includes a large amount of highly accurate numerical data and plots for a variety of model problems, serving as a benchmark for testing the applicability of existing approximate models and accuracy of numerical solutions

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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.