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Register a new userLinear Models of a Stiffened Plate via $Gamma$-convergence
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Added by
Marco Picchi Scardaoni Dr.
Publication date
2021
fields
Physics
and research's language is
English
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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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