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Title: A boundary radial point interpolation method (BRPIM) for 2-D structural analyses
Authors: Gu, Y.T.
Liu, G.R. 
Keywords: Boundary element method
Boundary integral equation
Meshfree method
Meshless method
Numerical analysis
Radial basis function
Issue Date: May-2003
Citation: Gu, Y.T.,Liu, G.R. (2003-05). A boundary radial point interpolation method (BRPIM) for 2-D structural analyses. Structural Engineering and Mechanics 15 (5) : 535-550. ScholarBank@NUS Repository.
Abstract: In this paper, a boundary-type meshfree method, the boundary radial point interpolation method (BRPIM), is presented for solving boundary value problems of two-dimensional solid mechanics. In the BRPIM, the boundary of a problem domain is represented by a set of properly scattered nodes. A technique is proposed to construct shape functions using radial functions as basis functions. The shape functions so formulated are proven to possess both delta function property and partitions of unity property. Boundary conditions can be easily implemented as in the conventional Boundary Element Method (BEM). The Boundary Integral Equation (BIE) for 2-D elastostatics is discretized using the radial basis point interpolation. Some important parameters on the performance of the BRPIM are investigated thoroughly. Validity and efficiency of the present BRPIM are demonstrated through a number of numerical examples.
Source Title: Structural Engineering and Mechanics
ISSN: 12254568
Appears in Collections:Staff Publications

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