A meshless singular boundary method for three‐dimensional elasticity problems |
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| Authors: | Yan Gu Wen Chen Hongwei Gao Chuanzeng Zhang |
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| Affiliation: | 1. College of Mathematics, Qingdao University, Qingdao, China;2. Department of Engineering Mechanics, College of Mechanics and Materials, Hohai University, Nanjing, China;3. Department of Civil Engineering, University of Siegen, Siegen, Germany |
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| Abstract: | This study documents the first attempt to extend the singular boundary method, a novel meshless boundary collocation method, for the solution of 3D elasticity problems. The singular boundary method involves a coupling between the regularized BEM and the method of fundamental solutions. The main idea here is to fully inherit the dimensionality and stability advantages of the former and the meshless and integration‐free attributes of the later. This makes it particularly attractive for problems in complex geometries and three dimensions. Four benchmark 3D problems in linear elasticity are well studied to demonstrate the feasibility and accuracy of the proposed method. The advantages, disadvantages, and potential applications of the proposed method, as compared with the FEM, BEM, and method of fundamental solutions, are also examined and discussed. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | meshless boundary collocation method method of fundamental solutions singular boundary method boundary element method three‐dimensional elasticity problems |
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