Synopses & Reviews
This volume contains the edited versions of papers presented at the IUTAM-Symposium Topological design optimization of structures, machines and materials - status and perspectives, held at Rungstedgaard, near Copenhagen, Denmark, in October 2005. The Symposium was attended by scientists in mechanics, optics, and applied mathematics from 19 countries. It is now more than 15 years ago that the so-called homogenization method was proposed as a basis for computational means to optimize the topology and shape of continuum structures. From initially being capable mainly of treating minimum compliance design we now see the basic material distribution idea of the methodology applied to a wide range of structural and mechanical problems as well as to problems that couple structural response to other physical responses. Also, the method has provided insight for micro-mechanical studies, meaning that the method has given feedback to the area which provided impetus to the field of topological design optimization in its creation. Finally, topological design is now an integral part of most FEM software systems and it has become a standard industrial tool in some fields. The IUTAM Symposium provided a forum for the exchange of ideas for future developments in the area of topological design optimization. This encompassed the application to fluid-solid interaction problems, acoustics problems, and to problems in biomechanics, as well as to other multiphysics problems. New basic modelling paradigms, covering new geometry modelling such as level-set methods and topological derivatives, as well as developments in computational approaches were also focus areas.
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.
Table of Contents
In Memoriam -- John E. Taylor (1931--2005); Level Sets, FEM, and Sound; Coupling the Level Set Method and the Topological Gradient in Structural Optimization, by Grégoire Allaire and François Jouve; Parametric Shape and Topology Optimization with Radial Basis Functions, by Michael Yu Wang and Shengyin Wang Generalized Shape Optimization Using X-FEM and Level Set Methods, by Pierre Duysinx, Laurent Van Miegroet, Thibault Jacobs and Claude Fleury; Topology Design of Three-Dimensional Structures Using Hybrid Finite Elements, by CS. Jog; Topology Optimization of Vibrating Bi-Material Structures with Respect to Sound Radiation, by Niels Olhoff and Jianbin Du; Classics Revisited; Force Fields within Michell-Like Cantilevers Transmitting a Point Load to a Straight Support, by Cezary Graczykowski and Tomasz Lewiiiski; Reflections on Truss and Continuum Topology Optimal Designs, by Pauli Pedersen and Niels L. Pedersen; Some Basic Issues of Topology Optimization, by George LN. Rozvany, Vanda Pomezanski, Osvaldo M. Querin, Zsolt Gaspar and Janos Logo; Composites and Cellular Structures; On Discrete Material Optimization of Laminated Composites Using Global and Local Criteria, by Jan Stegmann and Erik Lund; Analysis and Continuum Topology Optimization of Periodic Solids with Linearized Elastic Buckling Criterion, by Miguel Matos Neves; Design of Cellular Structure for Optimum Efficiency of Heat Dissipation -- A Three-Dimensional Formulation, by Bo Wang and Gengdong Cheng; Layout of Tileable Multistable Structures Using Topology Optimization, by Jitendra Prasad and Alejandro R. Diaz; Topology Optimization of Dispersion Properties in Optical Fibres, by Jesper Riishede and Kristian Hougaard; Optimal Design with Small Contrast, by Grégoire Allaire and Sergio Gutiérrez; Eigenfrequency and Buckling Optimization of Laminated Composite Shell Structures Using Discrete Material Optimization, by Erik Lund and Jan Stegmann; Effect of Internal Length Scale on Optimal Topologies for Cosserat Continua, by Massimiliano Gei, Marco Rovati and Daniele Veber; Mathematical Programming and Modelling; Cellular Automata Paradigm for Topology Optimisation, by Mostafa M. Abdalla, Shahriar Setoodeh and Zafer Gürdal ; A One Shot Approach to Topology Optimization with Local Stress Constraints, by Roman Stainko and Martin Burger; A Concept for Global Optimization of Topology Design Problems, by Mathias Stolpe, Wolfgang Achtziger and Atsushi Kawamoto; Image Processing Ideas and Level Sets Impedance Imaging for Inhomogeneities of Low Volume Fraction, by Yves Capdeboscq; The Phase-Field Method in Optimal Design, by Blaise Bourdin and Antonin Chambolle; Level Set based Shape Optimization of Geometrically Nonlinear Structures, by Seonho Cho, Seung-Hyun Ha and Min-Geun Kim; Industry and Software; Industrial Implementation and Applications of Topology Optimization and Future Needs, by Claus B. W Pedersen and Peter Allinger; Recent Developments in the Commercial Implementation of Topology Optimization, by Uwe Schramm and Ming Zhou; Mechanisms and Multiphysics; Configuration Design of Rigid Link Mechanisms by an Optimization Method: A First Step, by Yoon Young Kim, Gang Won Jang, Jung Hun Park, Jin Seup Hyun and Sang Jun Nam; The Pressure Load Problem Re-Visited, by Peter Michael Clausen and Ole Sigmund; Topology Optimization in Magnetic Fields, by Jeonghoon Yoo; Electro-Mechanical Topology Optimization Considering Non-Matching Meshes, by Michael Rautli; Waves; Structural Topology Optimization of Mechanical Resonators, Actuators and Sensors, by Shinji Nishiwaki, Emilio C.N. Silva, Kazumi Matsui, Kenjiro Terada, Kazuhiro Izui and Masataka Yoshimura; Topology Optimization of Wave Transducers, by Eddie Wadbro and Martin Berggren; Optimal Mode Coupling in Simple Planar Waveguides, by David C. Dobson; Geometry Modelling; Topology Optimization by Penalty (TOP) Method, by T E. Bruns; Topology Optimization with CAMD for Structures Undergoing Finite Deformation, by K. Matsui, K. Terada and S. Nishiwaki; Spectral Level Set Methodology in the Design of a Morphing Airfoil, by Alexandra A. Gomes and Afzal Suleman; Acoustics and Fluids and Actuators; Topology Optimization for Acoustic-Structure Interaction Problems, by Gil Ho Yoon, Jakob Søndergaard Jensen and Ole Sigmund Topology Optimization of Mass Distribution Problems in Stokes Flow, by Allan Gersborg-Hansen, Martin Berggren and Bernd Dammann; Topology Optimization for Acoustic Problems, by Maria Bayard Duhring; Topology Optimization of Wave-Propagation Problems, by Jakob S. Jensen and Ole Sigmund; Topology Optimization of Piezoelectric Actuators Considering Geometric Nonlinearities, by Eduardo Lenz Cardoso and Jun Sérgio Ono Fonseca; Mathematical Programming Issues; The Worst-Case Multiple Load FMO Problem Revisited, by Michal Koèvara and Michael Stingi; Simultaneous Optimization of Truss Topology and Geometry Revisited, by Wolfgang Achtziger; Topology Optimization by Sequential Integer Linear Programming, by Krister Svanberg and Mats Werme; Bio; Bio-Inspired Material Design and Optimization, by Xu Guo and Huajian Gao; Protein Sequence Design on the Basis of Topology Optimization Techniques -- Using Continuous Modeling of Discrete Amino Acid Types, by G.K. Ananthasuresh; Topological Derivatives, Reliability, and Other Features Topological-Shape Sensitivity Method: Theory and Applications, by A.A. Novotny, R.A. Feijóo, E. Taroco and C. Padra; Topological Derivatives for Contact Problems -- Conical Differentiability and Asymptotic Analysis, by Jan Sokolowski and Antoni Zochowski; Reliability-Based Topology Optimization (RBTO), by Semyung Wang, Heegon Moon, Chwail Kim, Jenam Kang and Kyung K. Choi; A Feature-Based Structural Topology Optimization Method, by Gengdong Cheng, Yulin Mei and Xiaoming Wang; Composites and Graded Materials; Design of Fiber Reinforced Shafts Subject to Local Stress Constraints through Inverse Homogenization -- A Preliminary Study on Fiber Size Effect, by Robert Lipton and Michael Stuebner; Hierarchical Optimization of Material and Structure for Thennal Transient Problems, by J.M. Guedes, E. Lubrano, H.C. Rodrigues and S. Turteltaub; Optimization of Foam Filled Structures Using Gradient Algorithms, by A. Lipka and E. Ramm; Fluids and Materials; The Darcy--Stokes Topology Optimization Problem, by Niclas Wiker Anders Klarbring and Thomas Borrvall; Topology Optimization of Fluid Problems by the Lattice Boltzmann Method, by Anton Evgrafov, Georg Pingen and Kurt Maute; A Class of Optimal Two-Dimensional Multimaterial Conducting Laminates, by Nathan Albin, Andrej Cherkaev and Vincenzo Nesi; New Approaches; Multidisciplinary Topology Design and Partial Differential Games, by Abderrahmane Habbal; Coupling Topological Gradient and Gauss--Newton Method, by Jérôme Fehrenbach and Mohamed Masmoudi; Author Index; Subject Index.