Homogenization and Structural Topology Optimization

Structural topology optimization is a fast growing field that is finding numerous applications in automotive, aerospace and mechanical design processes. Homogenization is a mathematical theory with applications in several engineering problems that are governed by partial differential equations with rapidly oscillating coefficients Homogenization and Structural Topology Optimization brings the two concepts together and successfully bridges the previously overlooked gap between the mathematical theory and the practical implementation of the homogenization method. The book is presented in a unique self-teaching style that includes numerous illustrative examples, figures and detailed explanations of concepts. The text is divided into three parts which maintains the book's reader-friendly appeal.
TOC: Introduction.- Homogenization Theory for Media with a Periodic Structure.- Solution of Homogenization Equations for Topology Optimization.- Structural Topology Optimization using Optimality Criteria Methods.- Experiences in Topology Optimization of Plane Stress Problems .- Topological layout and Reinforcement Optimization Of Plate Structures.- Alternative Approaches to Structural Topology Optimization Problem.- Integrated Structural Optimization.