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Abstract
In this paper, the optimal configuration—in a remote uniform tension field—is investigated for stiffening rings (made of a different material) in a perforated elastic plate. The complex variable approach and the Kolosov-Muskhelishvili potentials are used to determine the unknown shape of the multiconnected region in which we pose the equations of equilibrium. It turns out that, for any number and relative spacing of the holes, the ring boundaries should represent equalstrength contours. This finding is extended to the case of multilayered and composite materials with elastic moduli varying continuously in a given direction.
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