Homogenization and Structural Topology Optimization Theory, Practice and Software

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.

Preface vii.- Acknowledgements xi.- Table of Contents xiii.- Notation xvii.- 1. Introduction.- 1.1 Overview.- 1.2 Mathematical description of optimization problem.- 1.3 Types of structural optimization.- 1.4 Aspects of topology optimization.- 1.5 Layout of the book.- References.- I: Homogenization.- 2. Homogenization Theory for Media with a Periodic Structure.- 3. Solution of Homogenization Equations for Topology Optimization.- II: Topology Optimization.- 4. Structural Topology Optimization using Optimality Critieria Methods.- 5. Experiences in Topology Optimization of Plane Stress Problems.- 6. Topological layout and Reinforcement Optimization of Plate Structures.- III: Other Methods and Integrated Structural Optimization.- 7. Alternative Approaches to Structural Topology Optimization.- 8. Integrated Structural Optimization.- Appendix A.- Appendix B.- Appendix C.- Appendix D HOMOG Manual.- Appendix E PLATO Manual.- Author Index.