This volume offers edited papers presented at the IUTAM-Symposium Topological design optimization of structures, machines and materials - status and perspectives, October 2005. The papers cover the application of topological design optimization to fluid-solid interaction problems, acoustics problems, and to problems in biomechanics, as well as to other multiphysics problems. Also in focus are new basic modelling paradigms, covering new geometry modelling such as level-set methods and topological derivatives.

Level Sets, FEM and Sound.- Coupling the Level Set Method and the Topological Gradient in Structural Optimization.- Parametric Shape and Topology Optimization with Radial Basis Functions.- Generalized Shape Optimization Using X-FEM and Level Set Methods.- Topology Design of Three-Dimensional Structures Using Hybrid Finite Elements.- Topology Optimization of Vibrating Bi-Material Structures with Respect to Sound Radiation.- Classics Revisited.- Force Fields within Michell-Like Cantilevers Transmitting a Point Load to a Straight Support.- Reflections on Truss and Continuum Topology Optimal Designs.- Some Basic Issues of Topology Optimization.- Composites and Cellular Structures.- On Discrete Material Optimization of Laminated Composites Using Global and Local Criteria.- Analysis and Continuum Topology Optimization of Periodic Solids with Linearized Elastic Buckling Criterion.- Design of Cellular Structure for Optimum Efficiency of Heat Dissipation.- Layout of Tileable Multistable Structures Using Topology Optimization.- Topology Optimization of Dispersion Properties in Optical Fibres.- Optimal Design with Small Contrast.- Eigenfrequency and Buckling Optimization of Laminated Composite Shell Structures Using Discrete Material Optimization.- Effect of Internal Length Scale on Optimal Topologies for Cosserat Continua.- Mathematical Programming and Modelling.- Cellular Automata Paradigm for Topology Optimisation.- A one Shot Approach to Topology Optimization with Local Stress Constraints.- A Concept for Global Optimization of Topology Design Problems.- Image Processing Ideas and Level Sets.- Impedance Imaging for Inhomogeneities of Low Volume Fraction.- The Phase-Field Method in Optimal Design.- Level Set Based Shape Optimization of Geometrically Nonlinear Structures.- Industry and Software.- Industrial Implementation and Applications of Topology Optimization and Future Needs.- Recent Developments in the Commercial Implementation of Topology Optimization.- Mechanisms and Multiphysics.- Configuration Design of Rigid Link Mechanisms by an Optimization Method: A First Step.- The Pressure Load Problem Re-Visited.- Topology Optimization in Magnetic Fields.- Electro-Mechanical Topology Optimization Considering Non-Matching Meshes.- Waves.- Structural Topology Optimization of Mechanical Resonators, Actuators and Sensors.- Topology Optimization of Wave Transducers.- Optimal Mode Coupling in Simple Planar Waveguides.- Geometry Modelling.- Topology Optimization by Penalty (TOP) Method.- Topology Optimization with CAMD for Structures Undergoing Finite Deformation.- Spectral Level Set Methodology in the Design of a Morphing Airfoil.- Acoustics and Fluids and Actuators.- Topology Optimization for Acoustic-Structure Interaction Problems.- Topology Optimization of Mass Distribution Problems in Stokes Flow.- Topology Optimization for Acoustic Problems.- Topology Optimization of Wave-Propagation Problems.- Topology Optimization of Piezoelectric Actuators Considering Geometric Nonlinearities.- Mathematical Programming Issues.- The Worst-Case Multiple Load FMO Problem Revisited.- Simultaneous Optimization of Truss Topology and Geometry, Revisited.- Topology Optimization by Sequential Integer Linear Programming.- Bio.- Bio-Inspired Material Design and Optimization.- Protein Sequence Design on the Basis of Topology Optimization Techniques.- Topological Derivatives, Reliability, and Other Features.- Topological-Shape Sensitivity Method: Theory and Applications.- Topological Derivatives for Contact Problems.- Reliability-Based Topology Optimization (RBTO).- A Feature-Based Structural Topology Optimization Method.- Composites and Graded Materials.- Design of Fiber Reinforced Shafts Subject to Local Stress Constraints Through Inverse Homogenization.- Hierarchical Optimization of Material and Structure for Thermal Transient Problems.- Optimization of Foam Filled Structures Using Gradient Algorithms.- Fluids and Materials.- The Darcy-Stokes Topology Optimization Problem.- Topology Optimization of Fluid Problems by the Lattice Boltzmann Method.- A Class of Optimal Two-Dimensional Multimaterial Conducting Laminates.- New Approaches.- Multidisciplinary Topology Design and Partial Differential Games.- Coupling Topological Gradient and Gauss-Newton Method.