This paper focuses for the first time on the static analysis of sandwich plates with functionally graded faces and homogeneous core by an nth-order shear deformation theory and meshless global collocation method. The meshless global collocation method approximates the solutions of governing differential equations based on the nth-order shear deformation theory using all nodes in the problem domain. The deflection and stress of a simply supported sandwich plates under sinusoidal load are calculated to verify the accuracy and efficiency of the present theory.
ZenkourAM. A comprehensive analysis of functionally graded sandwich plates: Part 1—Deflection and stresses. Int J Solids Struct2005; 42: 5224–5242.
2.
ZenkourAM. A comprehensive analysis of functionally graded sandwich plates: Part 2—Buckling and free vibration. Int J Solids Struct2005; 42: 5243–5258.
3.
LiQIuVPKouKP. Three-dimensional vibration analysis of functionally graded material sandwich plates. J Sound Vibrat2008; 311: 498–515.
4.
KashtalyanMMenshykovaM. Three-dimensional elasticity solution for sandwich panels with a functionally graded core. Compos Struct2009; 87: 36–43.
5.
WoodwardBKashtalyanM. Bending response of sandwich panels with graded core: 3D elasticity analysis. Mech Adv Mater Struct2010; 17: 586–594.
6.
ZenkourAMAlghamdiNA. Bending analysis of functionally graded sandwich plates under the effect of mechanical and thermal loads. Mech Adv Mater Struct2010; 17: 419–432.
7.
CinefraMSoaveM. Accurate vibration analysis of multilayered plates made of functionally graded materials. Mech Adv Mater Struct2011; 18: 3–13.
8.
PandeySPradyumnaS. Free vibration of functionally graded sandwich plates in thermal environment using a layerwise theory. Eur J Mech-A/Solid2015; 51: 55–66.
9.
ThaiHTNguyenTKVoTP. Analysis of functionally graded sandwich plates using a new first-order shear deformation theory. Eur J MechA/Solids2014; 45: 211–225.
10.
FerreiraAJMRoqueCMCMartinsPALS. Analysis of composite plates using higher-order shear deformation theory and a finite point formulation based on the multiquadric radial basis function method. Compos: Part B2003; 34: 627–636.
11.
FerreiraAJMRoqueCMCJorgeRMN. Free vibration analysis of symmetric laminated composite plates by FSDT and radial basis functions. Comp Meth Appl Mech Eng2005; 194: 4265–4278.
12.
FerreiraAJMRoqueCMCJorgeRMN. Analysis of composite plates by trigonometric shear deformation theory and multiquadrics. Comput Struct2005; 83: 2225–2237.
13.
XiangSWangKMAiYT. Analysis of isotropic, sandwich and laminated plates by a meshless method and various shear deformation theories. Compos Struct2009; 91: 31–37.
14.
XiangSWangKM. Free vibration analysis of symmetric laminated composite plates by trigonometric shear deformation theory and inverse multiquadric RBF. Thin-Wall Struct2009; 47: 304–310.
XiangSJinYXBiZY. A n-order shear deformation theory for free vibration of functionally graded and composite sandwich plates. Compos Struct2011; 93: 2826–2832.
