| MESHLESS ANALYSIS FOR THREE-DIMENSIONAL ELASTICITY WITH SINGULAR HYBRID BOUNDARY NODE METHOD |
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| 作者姓名： | 苗雨 王元汉 |
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| 作者单位： | School of Civil Engineering and Mechanics Huazhong University of Science and Technology，Wuhan 430074，P. R. China，School of Civil Engineering and Mechanics，Huazhong University of Science and Technology，Wuhan 430074，P. R. China |
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| 基金项目： | Project supported by the Program of the Key Laboratory of Rock and Soil Mechanics of Chinese Academy of Sciences （No.Z110507） |
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| 摘 要： | The singular hybrid boundary node method (SHBNM) is proposed for solving three-dimensional problems in linear elasticity. The SHBNM represents a coupling between the hybrid displacement variational formulations and moving least squares (MLS) approximation. The main idea is to reduce the dimensionality of the former and keep the meshless advantage of the later. The rigid movement method was employed to solve the hyper-singular integrations. The 'boundary layer effect', which is the main drawback of the original Hybrid BNM, was overcome by an adaptive integration scheme. The source points of the fundamental solution were arranged directly on the boundary. Thus the uncertain scale factor taken in the regular hybrid boundary node method (RHBNM) can be avoided. Numerical examples for some 3D elastic problems were given to show the characteristics. The computation results obtained by the present method are in excellent agreement with the analytical solution. The parameters that influence the performance of this method were studied through the numerical examples.
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| 关 键 词： | 三维弹性 修正变化理论 单一混合边界结点法 数值分析 |
| 收稿时间： | 2004-12-03 |
| 修稿时间： | 2006-02-10 |
Meshless analysis for three-dimensional elasticity with singular hybrid boundary node method |
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| Yu Miao Doctor,Yuan-han Wang.MESHLESS ANALYSIS FOR THREE-DIMENSIONAL ELASTICITY WITH SINGULAR HYBRID BOUNDARY NODE METHOD[J].Applied Mathematics and Mechanics(English Edition),2006,27(5):673-681. |
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| Authors: | Yu Miao Doctor Yuan-han Wang |
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| Institution: | School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China |
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| Abstract: | The singular hybrid boundary node method (SHBNM) is proposed for solving three-dimensional problems in linear elasticity. The SHBNM represents a coupling between the hybrid displacement variational formulations and moving least squares (MLS) approximation. The main idea is to reduce the dimensionality of the former and keep the meshless advantage of the later. The rigid movement method was employed to solve the hyper-singular integrations. The 'boundary layer effect', which is the main drawback of the original Hybrid BNM, was overcome by an adaptive integration scheme. The source points of the fundamental solution were arranged directly on the boundary. Thus the uncertain scale factor taken in the regular hybrid boundary node method (RHBNM) can be avoided. Numerical examples for some 3D elastic problems were given to show the characteristics. The computation results obtained by the present method are in excellent agreement with the analytical solution. The parameters that influence the performance of this method were studied through the numerical examples. |
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| Keywords: | three-dimensional elasticity moving least squares meshless method modified variational principle singular hybrid boundary node method |
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