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Buckling analysis of sandwich plates with functionally graded skins using a new quasi‐3D hyperbolic sine shear deformation theory and collocation with radial basis functions
Author(s) -
Neves A.M.A.,
Ferreira A.J.M.,
Carrera E.,
Cinefra M.,
Jorge R.M.N.,
Soares C.M.M.
Publication year - 2012
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201100186
Subject(s) - buckling , discretization , collocation (remote sensing) , boundary value problem , mathematics , mathematical analysis , collocation method , deformation (meteorology) , geometry , structural engineering , materials science , computer science , differential equation , engineering , composite material , ordinary differential equation , machine learning
A hyperbolic sine shear deformation theory is used for the linear buckling analysis of functionally graded plates. The theory accounts for through‐the‐thickness deformations. The buckling governing 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 discretization of equations in the domain and on the boundary. A numerical investigation has been conducted considering and neglecting the thickness stretching effects on the buckling of sandwich plates with functionally graded skins. Numerical results demonstrate the high accuracy of the present approach.