Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/210974
Title: A local boundary integral-based meshless method for Biot's consolidation problem
Authors: Wang, JG 
Xie, Hua
Leung, CF 
Keywords: Science & Technology
Technology
Physical Sciences
Engineering, Multidisciplinary
Mathematics, Interdisciplinary Applications
Engineering
Mathematics
Biot's consolidation theory
Local boundary integral equation
Heaviside step function
Meshless method
Radial basis function
POINT INTERPOLATION METHOD
RADIAL BASIS FUNCTIONS
GALERKIN MLPG METHOD
COMPUTATIONAL MECHANICS
DISSIPATION PROCESS
NODE METHOD
DISCRETIZATION
ELEMENT
Issue Date: 1-Jan-2009
Publisher: ELSEVIER SCI LTD
Citation: Wang, JG, Xie, Hua, Leung, CF (2009-01-01). A local boundary integral-based meshless method for Biot's consolidation problem. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 33 (1) : 35-42. ScholarBank@NUS Repository.
Abstract: Traditional numerical techniques such as FEM and BEM have been successfully applied to the solutions of Biot's consolidation problems. However, these techniques confront some difficulties in dealing with moving boundaries. In addition, pre-designing node connectivity or element is not an easy task. Recently, developed meshless methods may overcome these difficulties. In this paper, a meshless model, based on the local Petrov-Galerkin approach with Heaviside step function as well as radial basis functions, is developed and implemented for the numerical solution of plane strain poroelastic problems. Although the proposed method is based on local boundary integral equation, it does not require any fundamental solution, thus avoiding the singularity integral. It also has no domain integral over local domain, thus largely reducing the computational cost in formulation of system stiffness. This is a truly meshless method. The solution accuracy and the code performance are evaluated through one-dimensional and two-dimensional consolidation problems. Numerical examples indicate that this meshless method is suitable for either regular or irregular node distributions with little loss of accuracy, thus being a promising numerical technique for poroelastic problems. © 2008.
Source Title: ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
URI: https://scholarbank.nus.edu.sg/handle/10635/210974
ISSN: 09557997
1873197X
Appears in Collections:Staff Publications
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