An Introduction to Computational Micromechanics: Lecture Notes in Applied and Computational Mechanics, cartea 20

Some Basics of the Mechanics of Solid Continua.- Fundamental Weak Formulations.- Fundamental Micro–Macro Concepts.- A Basic Finite Element Implementation.- Computational/Statistical Testing Methods.- Various Extensions and Further Interpretations of Partitioning.- Domain Decomposition Analogies and Extensions.- Nonconvex–Nonderivative Genetic Material Design.- Modeling Coupled Multifield Processes.- Closing Comments.

From the reviews:
"This is a concise, well-written book … . The author’s staggering scheme with adaptive time steps, insensitive to the order in which the equations governing individual processes are solved, is described here and it is illustrated by an example. The book is suitable for a graduate course … ." (George J. Dvorak, Meccanica, Vol. 44, 2009)

The recent dramatic increase in computational power available for mathematical modeling and simulation promotes the significant role of modern numerical methods in the analysis of heterogeneous microstructures. In its second corrected printing, this book presents a comprehensive introduction to computational micromechanics, including basic homogenization theory, microstructural optimization and multifield analysis of heterogeneous materials. "An Introduction to Computational Micromechanics" is valuable for researchers, engineers and for use in a first year graduate course for students in the applied sciences, mechanics and mathematics with an interest in the computational micromechanical analysis of new materials.

Well-structured, educational modern introduction to computational micromechanics Mixed monograph/textbook character (clear, self- contained, educational but without exercises and examples) Includes supplementary material: sn.pub/extras