We study the bending of a thin plate, stiffened with a thin elastic layer, of thickness δ. We describe the complete construction of an asymptotic expansion with respect to δ of the solution of the Kirchhoff-Love model and give optimal estimates for the remainder. We identify approximate boundary conditions, which take into account the effect of the stiffener at various orders. Thanks to the too...

Complex thin-plate structures such as ships and bridges are welded together with numerous thin plates stiffeners. Thermal elastic-plastic analysis based on the finite element method is a fundamental tool for predicting welding deformations residual stresses in large steel structures. The shell-solid coupling can improve scale efficiency compared to solid method. This study aims introduce into m...

Abstract A mathematical model for nonlocal vibration and buckling of embedded two-dimensional (2D) decagonal quasicrystal (QC) layered nanoplates is proposed. The Pasternak-type foundation used to simulate the interaction between elastic medium. exact solutions frequency critical load 2D QC are obtained by solving eigensystem using propagator matrix method. present three-dimensional (3D) soluti...

This paper is concerned with an investigation into the localized instability of a thin elastic orthotropic semi-infinite plate. In this study, a semi-infinite plate, simply supported on two edges and under different boundary conditions of clamped, hinged, sliding contact and free on the other edge, is studied. A mathematical model is used and a general solution is presented. The conditions unde...

This paper is devoted to describe the asymptotic behavior of a structure made by a thin plate and a thin rod in the framework of nonlinear elasticity. We scale the applied forces in such a way that the level of the total elastic energy leads to the Von-Kármán’s equations (or the linear model for smaller forces) in the plate and to a one dimensional rod-model at the limit. The junction condition...

Composite materials are used in aeronautical, automobile, healthcare and marine industries due to their high stiffness, higher strength-to-weight ratio long fatigue life. Thin plate plays vital role manufacturing of engineering structures. Components made from composite often subjected damage while working. Buckling can cause loss stability component which subsequently leads failure the entire ...