Numerical analysis of Biot's consolidation process by radial point interpolation method

By Jian-Guo Wang, Guirong Liu, Ping Lin. 2002

158 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/0559af831de41d95b7c083dd119ff7ba384e28f8

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In Civil and Structural Engineering

In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

Analysis of laminated shells by a sinusoidal shear deformation theory and radial basis functions collocation, accounting for through-the-thickness deformations (2011, unknown): “The use of radial basis function for the analysis of structures and materials has been previously studied by numerous authors [27–41].”
Analysis of Functionally Graded Plates by a Robust Meshless Method (2007, methodology): “The method has also been applied to the analysis of several engineering problems [ 10 , 11 , 12 ].”
Solving high order ordinary differential equations with radial basis function networks (2005, methodology): “The case of using the integration formulations (weakform/inverse statement) with the direct RBF interpolation schemes can be found in, for example, Liu and Gu [23], Wang and Liu [24,25], Wang et al [26], Gu and Liu [27] and Wu and Liu [28].”
A LINEARLY CONFORMING POINT INTERPOLATION METHOD (LC-PIM) FOR 2D SOLID MECHANICS PROBLEMS (2005, background): “RPIM can effectively solve the problem of singularity and has been extended for solving many types of problems [Wang et al., 2002; Dai et al., 2005; Liu et al., 2005; etc.].”
Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and RBF-PS discretizations with optimal shape parameter (2008, methodology): “The method has also been applied to other engineering problems such as in [28–31].”
Radial basis functions collocation and a unified formulation for bending, vibration and buckling analysis of laminated plates, according to a variation of Murakami’s zig-zag theory (2011, unknown): “The use of radial basis function for the analysis of structures and materials has been previously studied by numerous authors (Hon et al., 1997; Hon et al., 1999; Wang et al., 2002; Liu and Gu, 2001; Liu and Wang, 2002; Wang and Liu, 2002; Chen et al., 2003; Dai et al., 2004; Liu and Chen, 2002; Lie”
Static and free vibration analysis of laminated composite plates using the conforming radial point interpolation method (2008, methodology): “The radial point interpolation meshless method (RPIM) [12,31] has been demonstrated to be an efficient meshless method and successfully applied in many engineering problems [32–36].”
A meshfree method for fully coupled analysis of flow and deformation in unsaturated porous media (2013, background): “[20, 21] and Khoshghalb and Khalili [26], albeit for fluid saturated porous media only.”
An improved meshless Shepard and least squares method possessing the delta property and requiring no singular weight function (2014, background): “Remarkable successes have been reported in applying these methods for analyzing challenging engineering problems, namely, fracture modelling [4-6], plate problems [7], finite deformation problem [8,9], consolidation problem [10], dynamic simulation [11], three-dimensional problems [12,13], topology-”