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The Stress Analysis of Structural Element Using Meshfree Method(RPIM)  

Han, Sang-Eul (인하대학교 건축학부)
Yang, Jae-Guen (인하대학교 건축학부)
Joo, Jung-Sik (인하대하교 건축공학과)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.20, no.3, 2007 , pp. 311-319 More about this Journal
Abstract
A Meshfree is a method used to establish algebraic equations of system for the whole problem domain without the use of a predefined mesh for the domain discretization. A point interpolation method is based on combining radial and polynomial basis functions. Involvement of radial basis functions overcomes possible singularity Furthermore, the interpolation function passes through all scattered points in an influence domain and thus shape functions are of delta function property. This makes the implementation of essential boundary conditions much easier than the meshfree methods based on the moving least-squares approximation. This study aims to investigate a stress analysis of structural element between a meshfree method and the finite element method. Examples on cantilever type plate, hollow cylinder and stress concentration problems show that the accuracy and convergence rate of the meshfree methods are high.
Keywords
meshfree method; radial basis function; radial point interpolation method;
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  • Reference
1 Liu, G.R.(2006) An Intriduction to Meshfree Methods and their Programming, Springer Company. New York
2 Timoshenko, S.P., Goodier J.N.(1970) Theory of Elasticity. McGraw-Hill Company. New York
3 Liu G.R., Gu, Y.T.(2001a) A matrix triangularization algorithm for point interpolation method, Computer Methods in Applied Mechanics and Engineering, 192(19), pp.2269-2295   DOI   ScienceOn
4 최창근(2002) 유한요소법, 테크노프레스, 대한민국, p.650
5 Hardy R.L.(1990) Theory and Applications of the Multiquadrics-Biharmonic Method. Computers & Mathematics with Applications. 19. pp.163-208   DOI   ScienceOn
6 Timoshenko, S.P., Woinowsky K.(959) Theory of Plates and Shells, McGraw-Hill Company. New York
7 Liu, G.R. (2002) Mesh Free Methods Moving beyond the Finite Element Method. CRC Press Company, New York