6TH International Congress on Technology - Engineering - Kuala Lumpur3 - Malaysia (2018-07-19)

A New Meshless Method For 2d- Cantilever Beam And Hollow Cylinder

A new semi-analytical method called scaled boundary radial point interpolation method (SBRPIM), is introduced and applied to the analysis of the stress-strain problems. The advantages of the scaled boundary finite element method (SBFEM) and the boundary radial point interpolation method (BRPIM) are combined in the proposed method. In this method no mesh is required, nodes are scattered only on the boundary of the domain, no fundamental solution is required and as the shape functions constructed based on the radial point interpolation method, the boundary conditions of problems can be imposed accurately without additional efforts. Several benchmark examples of 2D elastostatic are analyzed to validate the accuracy and efficiency of the proposed method. It is found that the SBRPIM are very easy to implement and the obtained results of the proposed method show a very good agreement with the analytical solution.
Mohammad Hajiazizi, Adel Graili