The Effect of Support Domain on Radial Point Interpolation Method (RPIM) for Displacement Analysis in 2D Problem

  • Mokhtazul Haizad Mokhtaram Faculty of Engineering and Life Sciences, Universiti Selangor, Jalan Timur Tambahan, 45600 Bestari Jaya, Selangor, Malaysia.
  • Mohamed Elmi Abdi
Keywords: Meshfree Method, Numerical Analysis, Radial Point Interpolation Method, Support Domain

Abstract

The Radial Point Interpolation Method (RPIM) is one of the Meshfree methods. RPIM approximation function passes through each node point in the influence domain, thus makes the implementation of essential boundary conditions much easier and reducing complexity in numerical algorithms than other Meshfree methods. However, without the use of predefined mesh, there will be considerable differences in the location of the nodes thus causing topological errors. This topological error will create unstable solutions for the simultaneous equations. This present study is concerned with developing a more efficient solution by introducing a support domain in the RPIM. The study is to outline the complete procedures for formulations of RPIM with support domain for two-dimensional plane stress problems and write the corresponding MATLAB source code. The performance of the optimum size of the support domain is evaluated then compare to Finite Element Method (FEM). The result shows that RPIM with support domain, works well and provides an approving comparison against the conventional FEM. The converged solution is achieved.

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Published
2022-07-08
How to Cite
Mokhtaram, M., & Abdi, M. (2022). The Effect of Support Domain on Radial Point Interpolation Method (RPIM) for Displacement Analysis in 2D Problem. Selangor Science & Technology Review (SeSTeR), 6(3), 28-35. Retrieved from https://sester.journals.unisel.edu.my/ojs/index.php/sester/article/view/277