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. "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."--Back cover "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."--Jacket Front Matter....Pages i-xxv Introduction....Pages 1-8 Front Matter....Pages 9-9 Homogenization Theory for Media with Periodic Structure....Pages 11-30 Solution of Homogenization Equations for Topology Optimization....Pages 31-67 Front Matter....Pages 69-69 Structural Topology Optimization using Optimality Criteria Methods....Pages 71-101 Experiences In Topology Optimization of Plane Stress Problems....Pages 103-137 Topological Layout and Reinforcement Optimization of Plate Structures....Pages 139-167 Front Matter....Pages 169-169 Alternative Approaches to Structural Topology Optimization....Pages 171-183 Integrated Structural Optimization....Pages 185-226 Back Matter....Pages 227-268
