Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/14190
Title: Development of differential quadrature methods and their applications to plane elasticity
Authors: ZHANG YINGYAN
Keywords: Multi-domain, Differential quadrature, Material discontinuity, Bounday collocation, Complex variable, Plane elasticity
Issue Date: 12-Aug-2004
Source: ZHANG YINGYAN (2004-08-12). Development of differential quadrature methods and their applications to plane elasticity. ScholarBank@NUS Repository.
Abstract: Three differential quadrature (DQ)-based numerical methods have been developed for plane elasticity in this thesis. Firstly, direct multi-domain DQ method, based on DQ and domain decomposition technique, is applied to plane elastic multi-material problems which are assembly of regular sub-domains. The technique of treating material discontinuity is proposed. Secondly, multi-domain DQ method in conjunction with coordinate transformation is exploited for the analysis of plane elastic heterogeneous solids. The above approaches are characterized by being first-order accurate at the interfaces of two different materials, but high-order accurate elsewhere. Finally, as the extension of DQ to the complex plane, a complex variable boundary collocation method is proposed based on Lagrange interpolation and complex variable theory. The new method features high accuracy by use of a small number of nodes as well as dimensionality advantage. Its application to two-dimensional potential problems and plane elastic problems are successful.
URI: http://scholarbank.nus.edu.sg/handle/10635/14190
Appears in Collections:Master's Theses (Open)

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