| 滚动楔形边双材料平面V形切口应力奇性指数的计算 |
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| 引用本文： | 葛大丽,牛忠荣,张伟林.滚动楔形边双材料平面V形切口应力奇性指数的计算[J].安徽建筑工业学院学报,2009,17(5):5-8. |
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| 作者姓名： | 葛大丽 牛忠荣 张伟林 |
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| 作者单位： | [1]安徽建筑工业学院土木工程学院,合肥230022 [2]合肥工业大学工程力学系,合肥230009 |
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| 摘 要： | 研究具有滚动楔形边界的平面V形切口问题应力奇性指数的分析。首先,以V形切口尖端附近位移场沿其径向渐近展开为基础,将其线弹性理论控制方程转换成切口尖端附近关于周向变量的常微分方程组特征值问题。然后采用插值矩阵法计算该常微分方程组特征值问题,从而得到具有滚动楔形边界V形切口的应力奇性指数。计算结果表明本文方法是分析V形切口应力奇性指数的一个准确、有效的路径。
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| 关 键 词： | 应力奇性指数 插值矩阵法 V形切口 双材料 滚动边界 |
Calculation of stress singularityof plane bimaterial V-notches with rolling edges |
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| GE Da-li,ZHANG Wei-lin,ZHANG Wei-lin.Calculation of stress singularityof plane bimaterial V-notches with rolling edges[J].Journal of Anhui Institute of Architecture(Natural Science),2009,17(5):5-8. |
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| Authors: | GE Da-li ZHANG Wei-lin ZHANG Wei-lin |
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| Affiliation: | GE Da-li1,ZHANG Wei-lin2,ZHANG Wei-lin1(1.School of Civil Engineering,Anhui Institute of Architecture,Hefei 230022 China,b.School of Civil Engineering,Hefei University of Technology,Hefei 230009,China) |
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| Abstract: | In this paper,the evaluation of the singularity orders of plane V-notch problems with rolling edged was studied.Based on the assumption of asymptotic displacement field in the V-notch tip region,the governing equations of the elastic theory were transformed into the eigenvalue problems of ordinary differential equations(ODEs) around the notch tip.Then the interpolating matrix method was employed numerically to analyze the general the eigenvalue problems of ODEs.Thus,the singularities of the V-notches were d... |
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| Keywords: | stress singularities interpolating matrix method V-notch bimaterial rolling edge |
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