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# 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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https://hal.inria.fr/inria-00073702
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Submitted on : Wednesday, May 24, 2006 - 1:33:48 PM
Last modification on : Friday, February 4, 2022 - 3:23:36 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:55:33 PM

### Identifiers

• 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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