Linear Models of a Stiffened Plate via $\Gamma $-Convergence

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