Topology Optimization in Structural Mechanics

Topology optimization is a relatively new and rapidly expanding field of structural mechanics. It deals with some of the most difficult problems of mechanical sciences but it is also of considerable practical interest, because it can achieve much greater savings than mere cross-section or shape optimization.

G.I.N. Rozvany, Aims, Scope, Basic Concepts and Methods of Topology Optimization.- W. Achtziger, Topology Optimization of Discrete Structures: an Introduction in View of Computational and Nonsmooth Aspects.- G. Allaire, The Homogenization Method for Topology and Shape Optimization.- H.A. Eschenauer, A. Schumacher, Topology and Shape Optimization Procedures Using Hole Positioning Criteria – Theory and Applications.- U. Kirsch, Reduction and Expansion Processes in Topology Optimization.- U. Kirsch, Singular and Local Optima in Layout Optimization.- U. Kirsch, Reanalysis Models for Topology Optimization – Concepts.- U. Kirsch, Reanalysis Models for Topology Optimization – Applications.- L.A. Krog, N. Olhoff, Topology and Reinforcement Layout Optimization of Disk, Plate, and Shell Structures.