Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Structural optimization of thin elastic plates: the three dimensional approach

Abstract : The natural way to find the most compliant design of an elastic plate, is to consider the three-dimensional elastic structures which minimize the work of the loading term, and pass to the limit when the thickness of the design region tends to zero. In this paper, we study the asymptotic of such compliance problem, imposing that the volume fraction remains fixed. No additional topological constraint is assumed on the admissible configurations. We determine the limit problem in different equivalent formulations, and we provide a system of necessary and sufficient optimality conditions. These results were announced in [18]. Furthermore, we investigate the vanishing volume fraction limit, which turns out to be consistent with the results in [16, 17]. Finally, some explicit computation of optimal plates are given.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [29 references]  Display  Hide  Download
Contributor : Pierre Seppecher <>
Submitted on : Saturday, October 23, 2010 - 1:10:38 PM
Last modification on : Tuesday, September 24, 2019 - 3:40:07 PM
Long-term archiving on: : Monday, January 24, 2011 - 2:34:50 AM


Files produced by the author(s)


  • HAL Id : hal-00528976, version 1



Guy Bouchitté, Ilaria Fragalà, Pierre Seppecher. Structural optimization of thin elastic plates: the three dimensional approach. 2010. ⟨hal-00528976⟩



Record views


Files downloads