Abstract
We consider a family of three-dimensional stiffened plates whose dimensions are scaled through different powers of a small parameter varepsilon . The plate and the stiffener are assumed to be linearly elastic, isotropic, and homogeneous. By means of Gamma -convergence, we study the asymptotic behavior of the three-dimensional problems as the parameter varepsilon tends to zero. For different relative values of the powers of the parameter varepsilon , we show how the interplay between the plate and the stiffener affects the limit energy. We derive twenty-three limit problems.
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