A point interpolation method for two-dimensional solids. (English) Zbl 1050.74057

Liu, G. R.; Gu, Y. T.

Int. J. Numer. Methods Eng. 50, No. 4, 937-951 (2001).

From the summary: We present a point interpolation method (PIM) 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 ease as in 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.

MSC:

74S30	Other numerical methods in solid mechanics (MSC2010)
74K99	Thin bodies, structures

Keywords:

meshless method; stress analysis; polynomial interpolants

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