TY - JOUR ID - 2305 TI - RPIM and RPIM-MLS based MDLSM method for the solution of elasticity problems JO - Scientia Iranica JA - SCI LA - en SN - 1026-3098 AU - Nikravesh Kazeroni, Siavash AU - Afshar, Mohammad Hadi AU - Faraji, Saeb AD - Y1 - 2016 PY - 2016 VL - 23 IS - 6 SP - 2458 EP - 2468 KW - meshfree method KW - MDLSM method KW - radial point interpolation method (RPIM) KW - moving least squares approximation (MLS) KW - coupled method DO - 10.24200/sci.2016.2305 N2 -  One of the main difficulties in the development of meshless methods using the Moving Least Squares approximation, such as Mixed Discrete Least SquaresMeshless (MDLSM) method, is the imposition of the essential boundary conditions. In this paper the RPIM shape function, which satisfies the properties of the Kronecker delta condition, is employed in the Mixed Discrete Least SquaresMeshless (MDLSM)method for solving the elasticity problems. Accordingly, two new MDLSM formulation is proposed in this article namely RPIM-based MDLSM and coupled MLS-RPIM MDLSM formulation. The essential boundary conditions can be imposed directly in both presented methods.The proposed methods are used for the solution of three benchmark elasticity problems and the results are presented and compared with the available analytical solutions and those of MLS-based MDLSM formulation. In addition, in each example different types of nodal distributions, regular and irregular configurations, are considered to test the performance of the presented methods. The numerical tests indicates higher accuracy of the suggested approaches in comparison with the MLS-based MDLSM method. UR - https://scientiairanica.sharif.edu/article_2305.html L1 - https://scientiairanica.sharif.edu/article_2305_decccb9b0a88f6ab6ae57aed72fbaceb.pdf ER -