We proposed an improved moving Kriging interpolation-based meshfree method. As a result, the moving Kriging solution becomes stable. The proposed method was investigated for linear and nonlinear analyses of FGM plates. Besides, a rotation-free technique based on isogeometric analysis was applied to enforce boundary conditions of normal slopes for clamped plate cases, which is simpler and more efficient than several existing approaches.

Papers

1. T.N. Nguyen, C.H. Thai, H. Nguyen-Xuan. A novel computational approach for functionally graded isotropic and sandwich plate structures based on a rotation-free meshfree method. Thin-Walled Structures 107, 473-488. (2016) (link)

2. C.H. Thai, T.N. Nguyen, T. Rabczuk, H. Nguyen-Xuan. An improved moving Kriging meshfree method for plate analysis using a refined plate theory. Computers & Structures 176, 34-49. (2016) (link)

3. T.N. Nguyen, C.H. Thai, H. Nguyen-Xuan, J. Lee . Geometrically nonlinear analysis of functionally graded material plates using an improved moving Kriging meshfree method based on a refined plate theory. Composite Structures 193, 268-280. (2018) (link)