It serves primarily as a graduate level textbook, intended for first year graduate students in materials science, applied computational mechanics, nano-science and technology, and mechanical engineering. This book also serves as a research monograph by compiling recent developments in dislocation dynamics, numerical simulations of material failure, and homogenization theories.
Contents: Introduction; Green's Function and Fourier Transform; Micromechanical Homogenization Theory; Effective Elastic Modulus; Comparison Variational Principles; Eshelby Tensors in a Finite Volume and Their Applications; Micromechanical Damage Theory; Introduction of Dislocation Theory; Introduction to Configurational Mechanics; Small Scale Coarse-Grained Models; Periodic Microstructure and Asymptotic Homogenization.
