RPIM AND RPIM-MLS-BASED MDLSM METHOD FOR THE SOLUTION TO ELASTICITY PROBLEMS

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NIKRAVESH S.; AFSHAR M.H.; Faraji S.

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Paper Information

Journal: Scientia Iranica Year:2016 | Volume:23 | Issue:6 (TRANSACTIONS A: CIVIL ENGINEERING) Page(s): 2458-2468

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Information Journal Paper

Title

RPIM AND RPIM-MLS-BASED MDLSM METHOD FOR THE SOLUTION TO ELASTICITY PROBLEMS

Author(s)

NIKRAVESH S. | AFSHAR M.H. | Faraji S. | Issue Writer Certificate

Keywords

MESH-FREE METHOD

MDLSM METHOD

RADIAL POINT INTERPOLATION METHOD (RPIM)

MOVING LEAST SQUARES APPROXIMATION (MLS)

COUPLED METHOD

Abstract

One of the main difficulties in the development of meshless methods using the Moving Least Squares approximation, such as Mixed Discrete Least Squares Meshless (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 Squares Meshless (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.

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APA: Copy

NIKRAVESH, S., AFSHAR, M.H., & Faraji, S.. (2016). RPIM AND RPIM-MLS-BASED MDLSM METHOD FOR THE SOLUTION TO ELASTICITY PROBLEMS. SCIENTIA IRANICA, 23(6 (TRANSACTIONS A: CIVIL ENGINEERING)), 2458-2468. SID. https://sid.ir/paper/290479/en

Vancouver: Copy

NIKRAVESH S., AFSHAR M.H., Faraji S.. RPIM AND RPIM-MLS-BASED MDLSM METHOD FOR THE SOLUTION TO ELASTICITY PROBLEMS. SCIENTIA IRANICA[Internet]. 2016;23(6 (TRANSACTIONS A: CIVIL ENGINEERING)):2458-2468. Available from: https://sid.ir/paper/290479/en

IEEE: Copy

S. NIKRAVESH, M.H. AFSHAR, and S. Faraji, “RPIM AND RPIM-MLS-BASED MDLSM METHOD FOR THE SOLUTION TO ELASTICITY PROBLEMS,” SCIENTIA IRANICA, vol. 23, no. 6 (TRANSACTIONS A: CIVIL ENGINEERING), pp. 2458–2468, 2016, [Online]. Available: https://sid.ir/paper/290479/en

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