Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/13186
Title: Hybrid meshless methods for elasticity and poroelasticity
Authors: XIE HUA
Keywords: Elasticity, poroelasticity, boundary integral equation, local boundary integral equation, meshless method, radial basis function
Issue Date: 8-May-2008
Source: XIE HUA (2008-05-08). Hybrid meshless methods for elasticity and poroelasticity. ScholarBank@NUS Repository.
Abstract: Two meshless methods are proposed as alternatives to the Finite Element and Boundary Element methods for elasticity and poroelasticity. First, a radial boundary node method is developed by combining the radial point interpolation method with the boundary integral equation for elasticity. The proposed method needs only nodal information on the boundary such that the essential boundary conditions can be implemented readily. Second, a time domain local boundary integral method is proposed to handle two-phase poroelasticity problems. This method develops the local weak forms of the coupled governing equations for a porous medium, which needs neither fundamental solution nor singularity integral. Third, parametric studies are carried out for both meshless methods. When applying the two meshless methods to elastic problems or poroelastic problems, the numerical results reveal that the proposed methods are feasible and flexible.
URI: http://scholarbank.nus.edu.sg/handle/10635/13186
Appears in Collections:Ph.D Theses (Open)

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