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Optimization of the reinforcement of a 3D medium with thin composite plates

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Abstract

The reinforcement with a thin composite plate of a 3D linear elastic medium on its external boundary or inside is considered. A linear analysis of the 3D problem leads to a variational formulation in which the reinforcement is modelled by a Kirchhoff–Love plate. Considering the sum of the compliance and a cost as the design objective, a numerical example of the optimization of this reinforcement is performed taking into account the in-plane membrane rigidity only (i.e. the bending aspects are not treated numerically).

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Authors and Affiliations

  1. Matériaux et Structures, UPMC / UCP / CNRS UMR 7143, Laboratoire de Modélisation, 4 place Jussieu, Case 161, 75252, Paris Cedex 5, France

    B. Desmorat & G. Duvaut

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  1. B. Desmorat
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  2. G. Duvaut
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Correspondence to B. Desmorat.

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Desmorat, B., Duvaut, G. Optimization of the reinforcement of a 3D medium with thin composite plates. Struct Multidisc Optim 28, 407–415 (2004). https://doi.org/10.1007/s00158-004-0446-4

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  • DOI: https://doi.org/10.1007/s00158-004-0446-4

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