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|Title:||A boundary point interpolation method for stress analysis of solids|
|Source:||Gu, Y.T., Liu, G.R. (2002-02). A boundary point interpolation method for stress analysis of solids. Computational Mechanics 28 (1) : 47-54. ScholarBank@NUS Repository. https://doi.org/10.1007/s00466-001-0268-9|
|Abstract:||A boundary point interpolation method (BPIM) is proposed for solving boundary value problems of solid mechanics. In the BPIM, the boundary of a problem domain is represented by properly scattered nodes. The boundary integral equation (BIE) for 2-D elastostatics has been discretized using point interpolants based only on a group of arbitrarily distributed boundary points. In the present BPIM formulation, the shape functions constructed using polynomial basis function in a curvilinear coordinate possess Dirac delta function property. The boundary conditions can be implemented with ease as in the conventional boundary element method (BEM). The BPIM for 2-D elastostatics has been coded in FORTRAN, and used to obtain numerical results for stress analysis of two-dimensional solids.|
|Source Title:||Computational Mechanics|
|Appears in Collections:||Staff Publications|
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