Mesh-less post-buckling analysis of imperfect composite plates under end-shortening strain

In this article, post-buckling analysis of square imperfect composite plates with simply supported edges to uniform end-shortening in their planes is investigated by mesh-less method. The mesh-less method means that do not require the generation ofmeshes as in the finite element method, but only requires a scattered set of nodes to discretize the domain of interest. Due to sharp fluctuations in the boundary conditions and the occurrence of Runge’s phenomenon in the case of the uniform points, in the present study the plate is discretized with Legendregauss- lobatto nodes. First order shear deformationtheory is used for developing equilibrium equationsthat it produces acceptable results for moderately thick plates. Equations system is obtained by discretizing von-Karman’s compatibility equations and boundaryconditions with finite Legendre basis functions that aresubstituted into displacement fields. The nonlinear system of equations is solved by using Newton- Raphson procedure. Some results are computed andcompared with those available in the literature, wherever possible.

Keywords:

Mesh-less , Post-buckling , Legendrebasis- functions , FSDT , Imperfection