| 多域自然应力边界积分方程 |
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| 引用本文： | 程长征,牛忠荣,杨智勇.多域自然应力边界积分方程[J].合肥工业大学学报(自然科学版),2007,30(9):1170-1173. |
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| 作者姓名： | 程长征 牛忠荣 杨智勇 |
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| 作者单位： | 1. 合肥工业大学,土木建筑工程学院,安徽,合肥,230009
2. 铜陵学院,机械系,安徽,铜陵,244000 |
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| 基金项目： | 教育部博士点基金资助项目(20050359009)，安徽省自然科学基金资助项目(050440503) |
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| 摘 要： | 文章通过对常规应力边界积分方程反复的分部积分,将应力表示成位移ui、面力ti及自然变量wi的积分形式,并推广到多域系统,建立了多域自然应力边界积分方程;该积分方程仅含几乎强奇异积分,同常规应力边界积分方程所含的几乎超奇异积分相比,奇异性降低了一阶;再利用正则化技术解析处理多域自然应力边界积分方程中的几乎强奇异积分,从而可以准确计算多域系统近边界内点的应力。
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| 关 键 词： | 多域法 应力边界积分方程 几乎超奇异积分 |
| 文章编号： | 1003-5060(2007)09-1170-04 |
| 修稿时间： | 2006年10月12 |
Natural stress boundary integral equation in multi-domain systems |
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| CHENG Chang-zheng,NIU Zhong-rong,YANG Zhi-yong.Natural stress boundary integral equation in multi-domain systems[J].Journal of Hefei University of Technology(Natural Science),2007,30(9):1170-1173. |
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| Authors: | CHENG Chang-zheng NIU Zhong-rong YANG Zhi-yong |
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| Abstract: | This paper studies the boundary integral equation(BIE) for analysis of stress in multi-domain systems.A new formulation termed as the natural stress BIE is obtained by means of integration by parts from the conventional stress BIE.The natural stress BIE reduces one order singularity in comparison with the conventional one for there are only the nearly strong-singular integrals in the natural stress BIE.Then the regularization algorithm is introduced to evaluate the nearly strong-singular integrals in the natural stress BIE.Thus,the natural stress BIE can be applied to calculating the stresses at the points very close to the boundary.A numerical example illustrates the efficiency of the presented method. |
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| Keywords: | multi-domain technique boundary integral equation for analysis of stress nearly hyper-singular integral |
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