| 平面V形切口应力奇性指数分析 |
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| 引用本文： | 牛忠荣,葛大丽,程长征,胡宗军.平面V形切口应力奇性指数分析[J].中国科学技术大学学报,2008,38(3):314-319. |
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| 作者姓名： | 牛忠荣 葛大丽 程长征 胡宗军 |
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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. 合肥工业大学土木建筑工程学院,安徽合肥,230009;安徽建筑工业学院土木工程学院,安徽合肥,230022 |
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| 基金项目： | 高等学校博士学科点专项科研项目
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安徽省自然科学基金 |
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| 摘 要： | 对于一般的V形切口结构，其切口尖端区域存在强的应力集中．基于切口尖端附近区域渐近应力场的假设，提出将线弹性理论控制方程转换成一组常微分方程特征值问题．然后采用插值矩阵法数值计算该常微分方程特征值问题，从而得到V形切口的各阶应力奇性指数．算例显示该方法是分析V形切口应力奇异指数的一个准确、有效的路径．
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| 关 键 词： | 应力奇异指数 插值矩阵法 V形切口 stress singularity exponents interpolating matrix method V-notch 平面 形切口 应力奇性 指数分析 bimaterial plane examples accuracy effectiveness matrix method values interpolating analyze general notch ODEs differential equations elastic theory eigenvalue problems ordinary |
| 文章编号： | 0253-2778(2008)03-0314-06 |
| 修稿时间： | 2006年12月15 |
Determining stress singularity exponents of plane V-notches in bonded bimaterial |
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| NIU Zhong-rong,GE Da-li,CHENG Chang-zheng,HU Zong-jun.Determining stress singularity exponents of plane V-notches in bonded bimaterial[J].Journal of University of Science and Technology of China,2008,38(3):314-319. |
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| Authors: | NIU Zhong-rong GE Da-li CHENG Chang-zheng HU Zong-jun |
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| Abstract: | A new numerical method is proposed to determine the singularity orders of plane V-notch problems. Based on the assumption of asymptotic displacement field near the V-notch tip, 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 further employed numerically to analyze the general eigenvalue problems of ODEs. Thus, the values of the singularity orders of the V-notches were determined through solving the corresponding ODEs by the interpolating matrix method. Two examples are given to illustrate the accuracy and effectiveness of the method. |
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| Keywords: | stress singularity exponents interpolating matrix method V-notch |
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