Least-weight design of perforated elastic plates. II

G. I. N. Rozvany, T. G. Ong, W.T. Szeto, Roman Sandler, N. Olhoff · International Journal of Solids and Structures · 1987

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Type: article
Published: 1987-01-01
Cited by: 66
References: 23
DOI: https://doi.org/10.1016/0020-7683(87)90016-3
OpenAlex: https://openalex.org/W1965364620
Semantic Scholar: https://api.semanticscholar.org/CorpusID:222266303

Keywords

Microstructure, Axial symmetry, Structural engineering, Simple (philosophy), Materials science

References

Regularized formulation for optimal design of axisymmetric platesCheng Keno-Tung, Niels Olhoff — 1982
On the Solid Plate Paradox in Structural OptimizationG. I. N. Rozvany, Niels Olhoff, Keng-Tung Cheng — 1982
Grillages of maximum strength and maximum stiffnessG. I. N. Rozvany — 1972
An investigation concerning optimal design of solid elastic platesKeng-Tung Cheng, Niels Olhoff — 1981
LVIII. The limits of economy of material in frame-structuresA. G. M. Michell — 1904
Optimal plastic design of axisymmetric solid plates with a maximum thickness constraintC.M. Wang, G. I. N. Rozvany, N. Olhoff — 1984
A General Theory of Optimal Plastic DesignWilliam Prager, R. T. Shield — 1967
A new model for thin plates with rapidly varying thicknessRobert V. Kohn, Michael Vogelius — 1984
On the existence of solutions to some problems of optimal design for bars and platesK. A. Lurie, Andrej Cherkaev, A. V. Fedorov — 1984
On non-smoothness in optimal design of solid, elastic platesCheng Keng-Tuno — 1981
Regularization of optimal design problems for bars and plates, part 2K. A. Lurie, Andrej Cherkaev, A. V. Fedorov — 1982
Optimal Layout of GrillagesWilliam Prager, G. I. N. Rozvany — 1977
G-closure of a set of anisotropically conducting media in the two-dimensional caseK. A. Lurie, Andrej Cherkaev — 1984
Sliding regimes and anisotropy in optimal design of vibrating axisymmetric platesNiels Olhoff, Konstantin A. Lurie, Andrej Cherkaev — 1981
Optimal structural design and relaxed controlsK. A. Lurie, Andrej Cherkaev — 1983
Optimal design and relaxation of variational problems, IIIRobert V. Kohn, Gilbert Strang — 1986
Exact estimates of conductivity of composites formed by two isotropically conducting media taken in prescribed proportionK. A. Lurie, Andrej Cherkaev — 1984
Optimal design for torsional rigidityRobert V. Kohn, Gilbert Strang — 1982
Regularization of optimal design problems for bars and plates, part 1K. A. Lurie, Andrej Cherkaev, A. V. Fedorov — 1982
The limits of economy of material in frame structuresA. G. M. Michell — 1904

Cited by

Topology and shape optimization methods using evolutionary algorithms: a reviewDavid J. Munk, Gareth A. Vio, Grant P. Steven — 2015
Checkerboard and minimum member size control in topology optimizationM. Zhou, Y.K. Shyy, Harold Thomas — 2001
Exact least-weight truss layouts for rectangular domains with various support conditionsTomasz Lewiński, Mingdong Zhou, G. I. N. Rozvany — 1993
Generalized shape optimization without homogenizationG. I. N. Rozvany, Mingdong Zhou, T. Birker — 1992
The Michell layout problem as a low volume fraction limit of the perforated plate topology optimization problem: An asymptotic studyMartin P. Bendsøe, Robert B. Haber — 1993
Basic geometrical properties of exact optimal composite platesG. I. N. Rozvany — 2000
A homogenization method for shape and topology optimizationKatsuyuki Suzuki, Noboru Kikuchi — 1991
Optimal structural design considering flexibilityShinji Nishiwaki, Seungjae Min, Jeonghoon Yoo — 2001
Special issue to honour Niels OlhoffG. I. N. Rozvany — 2003
Analytical and numerical solutions for a reliability-based benchmark exampleG. I. N. Rozvany, Kurt Maute — 2011
Effective stiffnesses of transversely non-homogeneous plates with unidirectional periodic structureTomasz Lewiński — 1995
Exact analytical solutions for some popular benchmark problems in topology optimization II: three-sided polygonal supportsTomasz Lewiński, G. I. N. Rozvany — 2007
Exact analytical solutions for non-selfadjoint variable-topology shape optimization problems: perforated cantilever plates in plane stress subject to displacement constraints. Part IGyula K�rolyi, G. I. N. Rozvany — 1997
The COC algorithm, Part II: Topological, geometrical and generalized shape optimizationMingdong Zhou, G. I. N. Rozvany — 1991
Optimal design of rib-stiffeners in disks and platesK. Dems, Z. Mróz, D. Szeląg — 1989
Why multi-load topology designs based on orthogonal microstructures are in general non-optimalG. I. N. Rozvany, Mingdong Zhou, T. Birker — 1993
A critical review of established methods of structural topology optimizationG. I. N. Rozvany — 2009
On symmetry and non-uniqueness in exact topology optimizationG. I. N. Rozvany — 2011
Extended optimality in topology designG. I. N. Rozvany, Osvaldo M. Querin, Zsolt Gáspár — 2002
The MINLP optimization approach to structural synthesis. Part I: A general view on simultaneous topology and parameter optimizationStojan Kravanja, Zdravko Kravanja, Branko S. Bedenik — 1998

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