Topology Design of Structures

This book contains the edited version of lectures and contributed papers presented at the NA TO ADV ANCED RESEARCH WORKSHOP ON TOPOLOGY OPTIMIZATION OF STRUCTURES, held at Hotel do Mar, Sesimbra, Portugal, 20 June to 26 June, 1992, and organised by the Mathematical Institutc, The Technical University of Denmark and bv CEMUL-Center of Mechanics and Materials of the Techmcal University of Lisbon, Fifty participants from' fourteen countries attended the workshop, This book is organiLed in ten parts, each one addressing a sub field of topology optimiIalion, its relations to materials modelling and its implementation: Part 1- Topology design of discrete structures. Part II - Discrete design and sclection problems. Part III - The homogenization method for topology design. Part IV - AlternatiYC methods for topology design of continuum structures. Part V - Boundary shape design meth(xis. Part VI- Rela\.ation and optimal shape design. Part VII - EtTectiw media theory and optimal design. Part VIII - Extending the scope of topology design. Part IX- Topology design in a computer-aided design environment .. Parl X- Aspects of topology design.

Table of Contents:
I - Topology design of discrete structures.- Fundamental Properties of Optimal Topologies.- Topology Optimization of Three Dimensional Trusses.- Two Nonsmooth Approaches to Simultaneous Geometry and Topology Design of Trusses.- Minimax Compliance Truss Topology Subject to Multiple Loading.- An Interior Point Algorithm for Truss Topology Design.- Truss Topology Optimization with Stress and Displacement Constraints.- II - Discrete design and selection problems.- Discrete Valued Optimal Design Problems.- Discrete Optimal Design Using a Genetic Algorithm.- Lay-out and Sizing Design of Civil Engineering Structures in Accordance with the Eurocodes.- Genetic Algorithms in Structural Topology Optimization.- Optimal Placement of Actuators and other Peripherals for Large Space Structures.- Passive/Active Strut Placement by Integer Programming.- III - The homogenization method for topology design.- Topology and Generalized Layout Optimization of Elastic Structures.- Topology Optimization and Optimal Shape Design using Homogenization.- A Displacement-Based Topology Design Method with Self-Adaptive Layered Materials.- A Numerical Algorithm for Topology and Shape Optimization.- IV - Alternative methods for topology design of continuum structures.- Layout Theory for Grid-type Structures.- Topology Optimization using Iterative Continuum-Type Optimality Criteria (COC) Methods for Discretized Systems.- Some Explorations in the Genesis of Structures.- V - Boundary shape design methods.- Imbedding / Control Approach for Solving Optimal Shape Design Problems.- Applications of Material Derivative Method.- Optimal Design of Thin Laminated Composite Structures.- VI- Relaxation and optimal shape design.- Why Does It Seem Difficult to Avoid Homogenization Type Methods in Order to Change Topologyin Shape Optimization.- Existence Via Relaxation for Some Domain Optimization Problems.- Extremal Eigenvalue Problems for Starlike Drums.- VII - Effective media theory and optimal design.- On the Strength of Composite Materials: Variational Bounds and Computational Aspects.- Effective Properties for Non-Linear Composite Materials: Computational Aspects.- The Warping and the Torsion Problems in a Quasi-Periodically Perforated Domain.- VIII - Extending the scope of topology design.- Optimum Layout and Shape of Plate Structures using Homogenization.- Optimal Reliability Design of Plates..- Topology Optimization of Linear Elastic Structures Subjected to Thermal Loads.- Truss Topology Design for Elastic/Softening Materials.- Decision Makings for Initial Designs Made of Advanced Materials.- IX - Topology design in a computer aided design environment..- Integrating Topology and Boundary Variations Design Methods in a CAD system.- Integrated Structural Optimization System.- X - Aspects of topology design.- Topology Design of Discrete Structures.- An Optimization-Based Approach to the Domain Decomposition Problem in Parallel Finite Element Analysis.- Stability of Optimal Structures of Elastic Composites.