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Revue Européenne des Éléments Finis Volume 5, 1996 - Issue 5-6
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Original Articles

The homogenization method for topology and shape optimization. Single and multiple loads case

Grégoire Allaire Commissariat à l'Energie Atomique, DRN/DMT/SERMA, CEA Saclay, 91191 Gif sur Yvette et Laboratoire d'Analyse Numérique, Université Paris 6
,
Zakaria Belhachmi Département de Mathématiques, Université de Metz, lie du Saulcy, 57045, Metz
&
François Jouve Centre de Mathématiques Appliquées, URA-CNRS 756, Ecole Polytechnique, 91128, Palaiseau
Pages 649-672 | Published online: 31 May 2012

Citations (13)

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Read on this site (3)

Jean-Christophe Cuillière, Vincent François & Alexandre Nana. (2018) Automatic construction of structural CAD models from 3D topology optimization. Computer-Aided Design and Applications 15:1, pages 107-121.
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Jean-Marie Rossi & Sylvie Wendling-Mansuy. (2007) A topology optimization based model of bone adaptation. Computer Methods in Biomechanics and Biomedical Engineering 10:6, pages 419-427.
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Grégoire Allaire & François Jouve. (2002) Optimal design of micro-mechanisms by the homogenization method. Revue Européenne des Éléments Finis 11:2-4, pages 405-416.
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Articles from other publishers (10)

Lander Vertonghen, François-Xavier Irisarri, Dimitri Bettebghor & Boris Desmorat. (2023) Gradient-based concurrent topology and anisotropy optimization for mechanical structures. Computer Methods in Applied Mechanics and Engineering 412, pages 116069.
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Tom De Weer, Nicolas Lammens & Karl Meerbergen. (2023) A multi-objective framework for Pareto frontier exploration of lattice structures. Structural and Multidisciplinary Optimization 66:5.
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Paul Lacko, Geert Buckinx & Martine Baelmans. (2023) A study on the application and accuracy of macro-scale topology optimization for flow devices containing solid microstructures. Structural and Multidisciplinary Optimization 66:4.
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Jun Wu, Ole Sigmund & Jeroen P. Groen. (2021) Topology optimization of multi-scale structures: a review. Structural and Multidisciplinary Optimization 63:3, pages 1455-1480.
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Sonia Calvel & Marcel Mongeau. (2007) Black-box structural optimization of a mechanical component. Computers & Industrial Engineering 53:3, pages 514-530.
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Grégoire Allaire & François Jouve. (2005) A level-set method for vibration and multiple loads structural optimization. Computer Methods in Applied Mechanics and Engineering 194:30-33, pages 3269-3290.
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Grégoire Allaire, Sylvie Aubry & François Jouve. (2001) Eigenfrequency optimization in optimal design. Computer Methods in Applied Mechanics and Engineering 190:28, pages 3565-3579.
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Jean Céa, Stéphane Garreau, Philippe Guillaume & Mohamed Masmoudi. (2000) The shape and topological optimizations connection. Computer Methods in Applied Mechanics and Engineering 188:4, pages 713-726.
Crossref
Grégoire Allaire, Sylvie Aubry & François Jouve. 2000. Topology Optimization of Structures and Composite Continua. Topology Optimization of Structures and Composite Continua 239 249 .
Grégoire Allaire & François Jouve. 1999. IUTAM Symposium on Variations of Domain and Free-Boundary Problems in Solid Mechanics. IUTAM Symposium on Variations of Domain and Free-Boundary Problems in Solid Mechanics 293 300 .

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