| 带裂纹的椭圆孔口问题的应力分析 |
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| 引用本文： | 郭怀民, 刘官厅, 皮建东. 带裂纹的椭圆孔口问题的应力分析[J]. 固体力学学报, 2007, 28(3): 308-312. doi: 10.3969/j.issn.0254-7805.2007.03.017 |
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| 作者姓名： | 郭怀民 刘官厅 皮建东 |
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| 作者单位： | 内蒙古师范大学数学科学学院,呼和浩特,010022; 内蒙古师范大学数学科学学院,呼和浩特,010022; 内蒙古师范大学数学科学学院,呼和浩特,010022 |
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| 基金项目： | 国家自然科学基金 , 内蒙古自然科学基金 |
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| 摘 要： | 断裂现象与材料和结构中的孔洞、缺口或裂纹等缺陷密切相关,这是因为缺陷附近的应力集中明显.该文利用复变方法,通过保角映射研究了带裂纹的椭圆孔洞的平面弹性问题,给出了应力强度因子的解析解.并由此计算了两互相垂直的裂纹问题.
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| 关 键 词： | 带裂纹的椭圆孔洞 应力强度因子 复变方法 保角映射 |
| 修稿时间： | 2006-06-15 |
STRESS ANALYSIS OF AN ELLIPSE HOLE WITH A STRAIGHT EDGE-CRACK BY COMPLEX VARIABLE METHOD |
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| Guo Huaimin, Liu Guanting, Pi Jiandong. STRESS ANALYSIS OF AN ELLIPSE HOLE WITH A STRAIGHT EDGE-CRACK BY COMPLEX VARIABLE METHOD[J]. Chinese Journal of Solid Mechanics, 2007, 28(3): 308-312. doi: 10.3969/j.issn.0254-7805.2007.03.017 |
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| Authors: | Guo Huaimin Liu Guanting Pi Jiandong |
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| Affiliation: | Mathematics Science College of Inner Mongolia Normal University, Huhhot,010022 |
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| Abstract: | The fracture phenomenon is always in close relation to defects,such as holes,notches or cracks in materials and structures because of the strong stress concentration there.By means of complex variable method together with conformal mapping,this paper analyzes the elastic problem of a plate with a elliptic hole wtih a straight edge-crack.The SIFs at the crack tip are obtained.Moreover,the analytical solutions of an elastic plane including two perpendicur cracks are able to be solved out by degenerating the semi-major axis in the crack direction to zero. |
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| Keywords: | ellipse hole SIFs complex variable method conformal mapping |
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