Stiffness and Strength Optimization of the Anisotropy Distribution for Laminated Structures

Anita Catapano (), Boris Desmorat () and Paolo Vannucci ()
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Anita Catapano: UMR 7190 - CNRS and Université Paris 6
Boris Desmorat: Sorbonne Universités, UPMC Univ Paris 06, CNRS
Paolo Vannucci: LMV, UMR 8100 - CNRS and Université de Versailles et Saint Quentin en Yvelines

Journal of Optimization Theory and Applications, 2015, vol. 167, issue 1, No 7, 118-146

Abstract: Abstract In this paper, we deal with the problem of optimizing the anisotropy distribution of a laminated structure in order to maximize, simultaneously, its stiffness and strength. For these two objectives, two functionals are considered: the compliance as a measure of the plate stiffness and a laminate-level failure index as a measure of the strength. To solve this optimization problem we used a two-step hierarchical strategy: in the first step the aim is to find the best distribution of the stiffness and strength anisotropic tensors of an equivalent homogenized plate, while in the second one the objective is to find at least one laminate lay-up satisfying the optimal properties obtained as result of the first step. The polar formalism has been used to represent both the stiffness and strength tensors and allowed us to find analytical solutions to the local minimizations of the two functionals. A test case is finally presented to show the effectiveness of the proposed strategy.

Keywords: Anisotropy; Polar method; Stiffness and strength optimization; 74E10 Anisotropy; 74B05 Classical linear elasticity; 74P05 Compliance or weight optimization; 74P10 Optimization of other properties (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-014-0693-5

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