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Mechanics in Engineering ›› 2009, Vol. 31 ›› Issue (3): 48-51.doi: 10.6052/1000-0879-2008-405

• Application study • Previous Articles     Next Articles

THE RADIAL POINT INTERPOLATION WITH POLYNOMIAL BASIS FUNCTIONS IN MESHLESS METHOD FOR A MODERATELY THICK PLATE

  

  • Received:2008-08-29 Revised:2009-01-12 Online:2009-06-08 Published:2009-06-08

Abstract: The bending of a moderately thick plate is analyzed by the meshless method with the radial point interpolation and polynomial basis functions in this paper. The global Galerkin weak-form equation for isotropic moderately thick plate is established based on Mindlin plate theory and the minimum total potential energy principle. The shape functions constructed using the radial point interpolation method with polynomial basis functions enjoy Kronecker Delta function property, so the essential boundary conditions can be easily imposed. Numerical examples show that the presented method features high efficiency, good accuracy and easy implementation. The shear locking can thus be avoided in the bending analysis for thin plates.

Key words: radial point interpolation with polynomial basis functions, moderatelythick plate , meshless method, the Galerkin global weak-form