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Title: A linearly conforming point interpolation method (LC-PIM) for three-dimensional elasticity problems
Authors: Zhang, G.Y. 
Liu, G.R. 
Wang, Y.Y.
Huang, H.T.
Zhong, Z.H.
Li, G.Y.
Han, X.
Keywords: Linearly conforming
Mesh free
Nodal integration
Point interpolation method
Three dimensional
Issue Date: 24-Dec-2007
Citation: Zhang, G.Y., Liu, G.R., Wang, Y.Y., Huang, H.T., Zhong, Z.H., Li, G.Y., Han, X. (2007-12-24). A linearly conforming point interpolation method (LC-PIM) for three-dimensional elasticity problems. International Journal for Numerical Methods in Engineering 72 (13) : 1524-1543. ScholarBank@NUS Repository.
Abstract: Linearly conforming point interpolation method (LC-PIM) is formulated for three-dimensional elasticity problems. In this method, shape functions are generated using point interpolation method by adopting polynomial basis functions and local supporting nodes are selected based on the background cells. The shape functions so constructed have the Kronecker delta functions property and it allows straightforward imposition of point essential boundary conditions. Galerkin weak form is used for creating discretized system equations, and a nodal integration scheme with strain-smoothing operation is used to perform the numerical integration. The present LC-PIM can guarantee linear exactness and monotonic convergence for the numerical results. Numerical examples are used to examine the present method in terms of accuracy, convergence, and efficiency. Compared with the finite element method using linear elements, the LC-PIM can achieve better efficiency, and higher accuracy especially for stresses. Copyright © 2007 John Wiley & Sons, Ltd.
Source Title: International Journal for Numerical Methods in Engineering
ISSN: 00295981
DOI: 10.1002/nme.2050
Appears in Collections:Staff Publications

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