Two-dimensional modelling of contaminant transport through saturated porous media using the radial point interpolation method (RPIM)

2008 ◽  
Vol 16 (8) ◽  
pp. 1497-1505 ◽  
Author(s):  
R. Praveen Kumar ◽  
G. R. Dodagoudar
Keyword(s):  
Porous Media ◽  
Contaminant Transport ◽  
Interpolation Method ◽  
Saturated Porous Media ◽  
Two Dimensional ◽  
Radial Point Interpolation Method ◽  
Radial Point Interpolation ◽  
Point Interpolation Method ◽  
Point Interpolation

scholarly journals An interaction integral method for evaluating T-stress for two-dimensional crack problems using the extended radial point interpolation method

2015 ◽  
Vol 18 (2) ◽  
pp. 106-113
Author(s):  
Nha Thanh Nguyen ◽  
Hien Thai Nguyen ◽  
Minh Ngoc Nguyen ◽  
Thien Tich Truong
Keyword(s):  
Integral Method ◽  
Interpolation Method ◽  
Two Dimensional ◽  
Radial Point Interpolation Method ◽  
Interaction Integral ◽  
Crack Problems ◽  
Radial Point Interpolation ◽  
T Stress ◽  
Point Interpolation Method ◽  
Point Interpolation

The so-called T-stress, or second term of the William (1957) series expansion for linear elastic crack-tip fields, has found many uses in fracture mechanics applications. In this paper, an interaction integral method for calculating the T-stress for two-dimensional crack problems using the extended radial point interpolation method (XRPIM) is presented. Typical advantages of RPIM shape function are the satisfactions of the Kronecker’s delta property and the high-order continuity. The T-stress can be calculated directly from a path independent interaction integral entirely based on the J-integral by simply the auxiliary field. Several benchmark examples in 2D crack problem are performed and compared with other existing solutions to illustrate the correction of the presented approach.

scholarly journals Two-dimensional beams in rectangular coordinates using the radial point interpolation method

2020 ◽  
Vol 73 (1) ◽  
pp. 9-16
Author(s):  
William Luiz Fernandes ◽  
Gustavo Botelho Barbosa ◽  
Karine Dornela Rosa ◽  
Emanuel Silva ◽  
Walliston dos Santos Fernandes
Keyword(s):  
Interpolation Method ◽  
Two Dimensional ◽  
Radial Point Interpolation Method ◽  
Radial Point Interpolation ◽  
Rectangular Coordinates ◽  
Point Interpolation Method ◽  
Point Interpolation
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