Abstract
Different models that can be used to compute the optimum layout and shape of plate structures using homogenization techniques are presented. These models differ in the plate equation used as the basis for the analysis, the microstructure assumed for the material, and the order in which the homogenization and the assembly of plies is performed. Different ply stacking arrangements to assemble the plate are used to build plates with external ribs, internal ribs (honeycomb plates) and transversely perforated plates. The shape optimization problem is stated and the optimality conditions are derived. It is found that the optimality condition for the orientation of the ribs requires the solution of a fourth order polynomial equation, giving directions that are not necessarily aligned with the in-plane principal stress directions. Some shape optimization examples are solved and compared with results from the literature.
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© 1993 Springer Science+Business Media Dordrecht
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Soto, C.A., Díaz, A.R. (1993). Optimum Layout and Shape of Plate Structures Using Homogenization. In: Bendsøe, M.P., Soares, C.A.M. (eds) Topology Design of Structures. NATO ASI Series, vol 227. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1804-0_29
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DOI: https://doi.org/10.1007/978-94-011-1804-0_29
Publisher Name: Springer, Dordrecht
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