Please use this identifier to cite or link to this item: https://doi.org/10.1002/1097-0207(20010210)50:4<937
Title: A point interpolation method for two-dimensional solids
Authors: Liu, G.R. 
Gu, Y.T.
Keywords: Element-free method
Interpolation function
Meshless method
Stress analysis
Issue Date: 2001
Source: Liu, G.R.,Gu, Y.T. (2001). A point interpolation method for two-dimensional solids. International Journal for Numerical Methods in Engineering 50 (4) : 937-951. ScholarBank@NUS Repository. https://doi.org/10.1002/1097-0207(20010210)50:4<937
Abstract: A point interpolation method (PIM) is presented for stress analysis for two-dimensional solids. In the PIM, the problem domain is represented by properly scattered points. A technique is proposed to construct polynomial interpolants with delta function property based only on a group of arbitrarily distributed points. The PIM equations are then derived using variational principles. In the PIM, the essential boundary conditions can be implemented with case as in the conventional finite element methods. The present PIM has been coded in FORTRAN. The validity and efficiency of the present PIM formulation are demonstrated through example problems. It is found that the present PIM is very easy to implement, and very flexible for obtained displacements and stresses of desired accuracy in solids. As the elements are not used for meshing the problem domain, the present PIM opens new avenues to develop adaptive analysis codes for stress analysis in solids and structures. Copyright © 2001 John Wiley and Sons, Ltd.
Source Title: International Journal for Numerical Methods in Engineering
URI: http://scholarbank.nus.edu.sg/handle/10635/54717
ISSN: 00295981
DOI: 10.1002/1097-0207(20010210)50:4<937
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