Contents of volume 34 issue 1
(2005)
Control and Cybernetics
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Displaying similar documents to “Structural optimization using topological and shape sensitivity via a level set method”
Contents of volume 34 issue 1
Removing holes in topological shape optimization
Philippe Guillaume, Maatoug Hassine (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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The gradient based topological optimization tools introduced during the last ten years tend naturally to modify the topology of a domain by creating small holes inside the domain. Once these holes have been created, they usually remain unchanged, at least during the topological phase of the optimization algorithm. In this paper, a new asymptotic expansion is introduced which allows to decide whether an existing hole must be removed or not for improving the cost function. Then, two...
Multi-phase structural optimization via a level set method
G. Allaire, C. Dapogny, G. Delgado, G. Michailidis (2014)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider the optimal distribution of several elastic materials in a fixed working domain. In order to optimize both the geometry and topology of the mixture we rely on the level set method for the description of the interfaces between the different phases. We discuss various approaches, based on Hadamard method of boundary variations, for computing shape derivatives which are the key ingredients for a steepest descent algorithm. The shape gradient obtained for a sharp interface involves...
A new approach for simultaneous shape and topology optimization based on dynamic implicit surface function
Xu Guo, Kang Zhao, Michel Wang (2005)
Control and Cybernetics
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Preface to Special Issue
Jan Sokołowski, Tomasz Lewiński (2005)
Control and Cybernetics
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Hadamard incomplete sensitivity and shape optimization
Bijan Mohammadi (2010)
Control and Cybernetics
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Electrical Impedance Tomography: from topology to shape
Michael Hintermüller, Antoine Laurain (2008)
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