| 各向异性平面含斜裂纹的奇异积分方程方法 |
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| 引用本文： | 张建勇 李星. 各向异性平面含斜裂纹的奇异积分方程方法[J]. 力学季刊, 2004, 25(2): 248-255 |
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| 作者姓名： | 张建勇 李星 |
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| 作者单位： | 宁夏大学,数学计算机学院,银川,750021;宁夏大学,数学计算机学院,银川,750021 |
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| 基金项目： | 国家自然科学基金(10161009)，高等学校优秀青年教师教学和科研奖励计划基金资助 |
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| 摘 要： | 本文应用平面弹性复变方法，将无限各向异性平面中的任意斜裂纹问题归结为求解一组解析函数边值问题，通过构造适当的积分变换将边值问题转化为奇异积分方程，进而应用Lobotto-Chebyshev数值求积公式，求出该奇异积分方程的数值解，并得到了应力强度因子的近似表达式，最后，给出了一些实例的数值结果，对特例的数值结果与精确结果进行比较，吻合的很好。
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| 关 键 词： | 各向异性 裂纹 奇异积分方程 数值解 应力强度因子 |
| 文章编号： | 0254-0053(2004)02-248-8 |
| 修稿时间： | 2003-12-08 |
Numerical Solution of Singular Integral Equation for Anisotropic Elastic Plane with Arbitrarily Inclined Cracks |
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| ZHANG Jian-yong,LI Xing. Numerical Solution of Singular Integral Equation for Anisotropic Elastic Plane with Arbitrarily Inclined Cracks[J]. Chinese Quarterly Mechanics, 2004, 25(2): 248-255 |
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| Authors: | ZHANG Jian-yong LI Xing |
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| Abstract: | The problem of anisotropic elastic plane with arbitrary incline cracks was investigated by the plane elastic complex variable method, and was reduced to solve the boundary value problem for analytic function. After constructing appropriate integral transformations, the boundary value problems were transformed into singular integral equations. By using Lobotto-Chebyshev quadrature formulas, the singular integral equations were solved numerically. The approximate analytical expressions of stress intensity factors and some numerical results for several specific examples were obtained. |
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| Keywords: | anisotropic crack singular integral equation numerical solution stress intensity factor |
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