Structural optimization using topological and shape sensitivity via a level set method
Grégoire Allaire, Frédéric de Gournay, François Jouve, Anca-Maria Toader (2005)
Control and Cybernetics
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Grégoire Allaire, Frédéric de Gournay, François Jouve, Anca-Maria Toader (2005)
Control and Cybernetics
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(2005)
Control and Cybernetics
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Serguei Nazarov, Jan Sokołowski (2005)
Control and Cybernetics
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Andrzej Myśliński (2012)
International Journal of Applied Mathematics and Computer Science
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This paper deals with the formulation of a necessary optimality condition for a topology optimization problem for an elastic contact problem with Tresca friction. In the paper a quasistatic contact model is considered, rather than a stationary one used in the literature. The functional approximating the normal contact stress is chosen as the shape functional. The aim of the topology optimization problem considered is to find the optimal material distribution inside a design domain occupied...
A. Novotny, R. Feijóo, C. Padra, E. Taroco (2005)
Control and Cybernetics
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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...
Samuel Amstutz, Antonio A. Novotny (2011)
ESAIM: Control, Optimisation and Calculus of Variations
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The topological asymptotic analysis provides the sensitivity of a given shape functional with respect to an infinitesimal domain perturbation, like the insertion of holes, inclusions, cracks. In this work we present the calculation of the topological derivative for a class of shape functionals associated to the Kirchhoff plate bending problem, when a circular inclusion is introduced at an arbitrary point of the domain. According to the literature, the topological derivative has been...