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Linear Models of a Stiffened Plate via $Gamma$-convergence

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 نشر من قبل Marco Picchi Scardaoni Dr.
 تاريخ النشر 2021
  مجال البحث فيزياء
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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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