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

J. G. Wang; G. R. Liu; P.  Lin

doi:10.1016/S0020-7683(02)00005-7

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

J. G. Wang, G. R. Liu, P. Lin

Research output: Contribution to journal › Article › peer-review

145 Citations (Scopus)

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. (C) 2002 Elsevier Science Ltd. All rights reserved.

Original language	English
Pages (from-to)	1557-1573
Number of pages	17
Journal	International Journal of Solids and Structures
Volume	39
Issue number	6
DOIs	https://doi.org/10.1016/S0020-7683(02)00005-7
Publication status	Published - Mar 2002

Keywords

Meshless method
Radial basis functions
Global equilbrium
Consolidation process
Pore water presure

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10.1016/S0020-7683(02)00005-7

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title = "Numerical analysis of Biot's consolidation process by radial point interpolation method",

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. (C) 2002 Elsevier Science Ltd. All rights reserved.",

keywords = "Meshless method, Radial basis functions, Global equilbrium, Consolidation process, Pore water presure",

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T1 - Numerical analysis of Biot's consolidation process by radial point interpolation method

AU - Wang, J. G.

AU - Liu, G. R.

AU - Lin, P.

PY - 2002/3

Y1 - 2002/3

N2 - 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. (C) 2002 Elsevier Science Ltd. All rights reserved.

AB - 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. (C) 2002 Elsevier Science Ltd. All rights reserved.

KW - Meshless method

KW - Radial basis functions

KW - Global equilbrium

KW - Consolidation process

KW - Pore water presure

U2 - 10.1016/S0020-7683(02)00005-7

DO - 10.1016/S0020-7683(02)00005-7

M3 - Article

SN - 0020-7683

VL - 39

SP - 1557

EP - 1573

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

IS - 6

ER -

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

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Keywords

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