| 引用本文: | 袁杰红,孙鹏飞,段静波.非均布应力场中内埋裂纹的应力强度因子.[J].国防科技大学学报,2012,34(3):44-47.[点击复制] |
| YUAN Jiehong,SUN Pengfei,DUAN Jingbo.The stress intensity factor of embedded cracks in non-uniform stress fields[J].Journal of National University of Defense Technology,2012,34(3):44-47[点击复制] |
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| 非均布应力场中内埋裂纹的应力强度因子 |
| 袁杰红1, 孙鹏飞1, 段静波2 |
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(1.国防科技大学 指挥军官基础教育学院，湖南 长沙 410072;2.国防科技大学 航天与材料工程学院，湖南 长沙 410073)
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| 摘要: |
| 在内埋裂纹线性线弹簧模型的基础上，通过引入二维权函数将裂纹面上的非均布载荷进行均布化等效，求解了中心内埋椭圆形裂纹在沿板厚非均匀分布应力场中的应力强度因子，列出了问题的奇异积分方程，利用Gauss-Chebyshev方法求解了在4种应力场分布情形下的数值结果，并与已有文献的解进行了比较，当a0/c0＜0.4、a0/h≤0.3时，两者结果具有较好的一致性，表明了本文方法的合理性和可靠性。 |
| 关键词: 线弹簧模型 中心内埋裂纹 非均布应力场 权函数 应力强度因子 |
| DOI： |
| 投稿日期：2011-06-09 |
| 基金项目: |
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| The stress intensity factor of embedded cracks in non-uniform stress fields |
| YUAN Jiehong1, SUN Pengfei1, DUAN Jingbo2 |
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(1.College of Basic Education for Commanding Officers, National University of Defense Technology, Changsha 410072, China;2.College of Aerospace and Materials Engineering, National University of Defense Technology, Changsha 410073, China)
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| Abstract: |
| The stress intensity factor of a center embedded elliptical crack in non-uniform stress fields, which is along the thickness direction of the plate, is gained based on the linear line-spring model for embedded cracks. The two dimensional weight function is used to transform the non-uniform stress field to an equivalent uniform one. The singular integral equations are formulated and the numerical results in four cases of stress distributions are gained by Gauss-Chebyshev method. The results are in good accordance with those given in the previous literature when a0/c0＜0.4、a0/h≤0.3, and the rationality and reliability of this method are demonstrated. |
| Keywords: line-spring model center embedded crack non-uniform stress field weight function stress intensity factor |
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