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Title: Numerical analysis of Biot's consolidation process by radial point interpolation method
Authors: Wang, J.G. 
Liu, G.R. 
Lin, P. 
Keywords: Consolidation process
Global equilibrium
Meshless method
Pore water pressure
Radial basis functions
Issue Date: 12-Mar-2002
Citation: Wang, J.G., Liu, G.R., Lin, P. (2002-03-12). Numerical analysis of Biot's consolidation process by radial point interpolation method. International Journal of Solids and Structures 39 (6) : 1557-1573. ScholarBank@NUS Repository.
Abstract: An algorithm is proposed to solve Biot's consolidation problem using meshless method called a radial point interpolation method (radial PIM). The radial PIM is advantageous over the meshless methods based on moving least-square (MLS) method in implementation of essential boundary condition and over the original PIM with polynomial basis in avoiding singularity when shape functions are constructed. Two variables in Biot's consolidation theory, displacement and excess pore water pressure, are spatially approximated by the same shape functions through the radial PIM technique. Fully implicit integration scheme is proposed in time domain to avoid spurious ripple effect. Some examples with structured and unstructured nodes are studied and compared with closed-form solution or finite element method solutions. © 2002 Elsevier Science Ltd. All rights reserved.
Source Title: International Journal of Solids and Structures
ISSN: 00207683
DOI: 10.1016/S0020-7683(02)00005-7
Appears in Collections:Staff Publications

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