Displacement Derivatives in Shape Optimization of Thin Shells

Abstract : In the present paper the framework for the shape sensitivity analysis of systems of equations defined on a surface in $\bbbr^3$ is established. The model of thin shell presented in Koiter, 1970 is considered. The formulation of the model in a reference domain has been chosen for our analysis. The shape gradients and shape Hessians of associated shape functionals are defined and evaluated using the so-called displacement derivatives.
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Type de document :
Rapport
[Research Report] RR-2995, INRIA. 1996, pp.21
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Soumis le : mercredi 24 mai 2006 - 13:33:48
Dernière modification le : samedi 17 septembre 2016 - 01:06:50
Document(s) archivé(s) le : dimanche 4 avril 2010 - 23:55:33

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• HAL Id : inria-00073702, version 1

Citation

Jan Sokolowski. Displacement Derivatives in Shape Optimization of Thin Shells. [Research Report] RR-2995, INRIA. 1996, pp.21. 〈inria-00073702〉

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