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
Along similar lines, joining of dissimilar materials can be made more efficient through the use of functionally graded joints (Drake et al., 1993; Williamson et al., 1993, 1995; Stapleton et al., 2012). Other benefits to be realized ...
This book presents a broad exposition of analytical and numerical methods for modeling composite materials, laminates, polycrystals and other heterogeneous solids, with emphasis on connections between material properties and responses on ...
At the core of macromechanics is the assumption that a material volume element, and therefore each ply, ... by calculating the effective properties/response for each ply based on the constituent properties and microstructural features.
This book elucidates the most recent and highly original developments in the fields of micro- and nanomechanics and the corresponding homogenization techniques that can be reliably adopted and applied in determining the local properties, as ...
Presents Concepts That Can Be Used in Design, Processing, Testing, and Control of Composite MaterialsIntroduction to the Micromechanics of Composite Materials weaves together the basic concepts, mathematical fundamentals, and formulations ...
This book contains fifteen papers based on the presentations made at the symposium on "Inelasticity and Micromechanics of Metal Matrix Composites" held at the University of Washington, USA, in mid-1994.
This book deals almost exclusively with this unified theory and its various applications.
This book presents the most recent progress of fundamental nature made in the new developed field of micromechanics: transformation field analysis, variational bounds for nonlinear composites, higher-order gradients in micromechanical ...
The primary objective of this book is to bridge this gap by presenting the concepts in composites in an integrated and balanced manner and expose the reader to the total gamut of activities involved in composite product development.
Here is an accurate and timely account of micromechanics, which spans materials science, mechanical engineering, applied mathematics, technical physics, geophysics, and biology.