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Paper 223

Buckling of Laminated and Functionally Graded Plates using Radial Basis Functions

A.M.A. Neves1, A.J.M. Ferreira1, E. Carrera3, M. Cinefra3, C.M.C. Roque2, C.M. Mota Soares4 and R.M.N. Jorge1
1Departamento de Engenharia Mecânica, 2INEGI,
Faculdade de Engenharia, Universidade do Porto, Portugal
3Departament of Aeronautics and Aerospace Engineering, Politecnico di Torino, Italy
4Instituto Superior Técnico, Lisbon, Portugal

Keywords: plates and shells, collocation, meshless methods, functionally graded plates.

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A hyperbolic sine shear deformation theory is used for the buckling analysis of functionally graded plates. It accounts for through-the-thickness deformations and there is no need of a shear correction factor.

Linearized buckling equations and boundary conditions are derived using Carrera's unified formulation and further interpolated by collocation with radial basis functions. The collocation method is truly meshless, allowing a fast and simple domain and boundary discretization.

A large numerical investigation has been conducted considering and neglecting the thickness stretching on the buckling of sandwich plates with functionally graded skins. The numerical results demonstrate the accuracy of the present approach.