Singular boundary method for solving plane strain elastostatic problems |
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Authors: | Yan Gu Wen Chen Chuan-Zeng Zhang |
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Affiliation: | 1. Center for Numerical Simulation Software in Engineering and Sciences, Department of Engineering Mechanics, Hohai University, Nanjing 210098, PR China;2. State Key Laboratory of Structural Analysis for Industrial Equipment, University of Technology, Dalian 116024, PR China;3. Department of Civil Engineering, University of Siegen, Paul-Bonatz-Str. 9-11, D-57076 Siegen, Germany |
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Abstract: | This study documents the first attempt to apply the singular boundary method (SBM), a novel boundary only collocation method, to two-dimensional (2D) elasticity problems. Unlike the method of fundamental solutions (MFS), the source points coincide with the collocation points on the physical boundary by using an inverse interpolation technique to regularize the singularity of the fundamental solution of the equation governing the problems of interest. Three benchmark elasticity problems are tested to demonstrate the feasibility and accuracy of the proposed method through detailed comparisons with the MFS, boundary element method (BEM), and finite element method (FEM). |
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