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.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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topological gradient, logy optimization, horn optimized, fixed design domain, topological derivative, optimization using sensitivity analysis, topological sensitivity, level set description, level set methodology, material interpolation schemes, local stress constraints, generalized shape optimization, homogenized designs, composite shell structures, topological asymptotic, topology optimisation, extended finite element method, moving asymptotes, initial horn, compliance minimization, penalization parameter, matching meshes, multidisciplinary optimization, topology design problems, active actuators Key Phrases - Capitalized Phrases (CAPs): (learn more)
Topological Design Optimization of Structures, New York, International Journal, Applied Mechanics, Computer Methods, Springer Printed, World Congress, Department of Mechanical Engineering, Technical University of Denmark, Applied Mathematics, Springer Verlag, Journal of Computational Physics, Methods Appl, Rio de Janeiro, Aalborg University, Cambridge University Press, Department of Mathematics, Lecture Notes, Cellular Automata Paradigm, Institute of Mechanical Engineering, Kluwer Academic Publishers, Straight Support, Configuration Design of Rigid Link Mechanisms, Control Optim, John Wiley New!
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topological gradient, logy optimization, horn optimized, fixed design domain, topological derivative, optimization using sensitivity analysis, topological sensitivity, level set description, level set methodology, material interpolation schemes, local stress constraints, generalized shape optimization, homogenized designs, composite shell structures, topological asymptotic, topology optimisation, extended finite element method, moving asymptotes, initial horn, compliance minimization, penalization parameter, matching meshes, multidisciplinary optimization, topology design problems, active actuators Key Phrases - Capitalized Phrases (CAPs): (learn more)
Topological Design Optimization of Structures, New York, International Journal, Applied Mechanics, Computer Methods, Springer Printed, World Congress, Department of Mechanical Engineering, Technical University of Denmark, Applied Mathematics, Springer Verlag, Journal of Computational Physics, Methods Appl, Rio de Janeiro, Aalborg University, Cambridge University Press, Department of Mathematics, Lecture Notes, Cellular Automata Paradigm, Institute of Mechanical Engineering, Kluwer Academic Publishers, Straight Support, Configuration Design of Rigid Link Mechanisms, Control Optim, John Wiley New!
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Citations (learn more)
This book cites 81
books:
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- Topology Optimization by Martin Philip Bendsoe on 31 pages
- Shape Optimization By the Homogenization Method by Gregoire Allaire on 5 pages
- Structural Optimization by George Rozvany on 4 pages
- Variational Methods for Structural Optimization (Applied Mathematical Sciences Vol. 140) by Andrej Cherkaev on page 215, page 525, and page 581
- Finite Element Procedures by Klaus-Jurgen Bathe on page 194, and page 364
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