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Title: A local boundary integral-based meshless method for Biot's consolidation problem
Authors: Wang, J.G. 
Xie, H.
Leung, C.F. 
Keywords: Biot's consolidation theory
Heaviside step function
Local boundary integral equation
Meshless method
Radial basis function
Issue Date: Jan-2009
Citation: Wang, J.G., Xie, H., Leung, C.F. (2009-01). 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
ISSN: 09557997
DOI: 10.1016/j.enganabound.2008.04.005
Appears in Collections:Staff Publications

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