| 含球形空穴弹性体中应力集中的非局部度量 |
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| 引用本文： | 刘振国. 含球形空穴弹性体中应力集中的非局部度量[J]. 北京航空航天大学学报, 1996, 22(3): 363-367 |
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| 作者姓名： | 刘振国 |
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| 作者单位： | 北京航空航天大学飞行器设计与应用力学系 |
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| 摘 要： | 为反映球形空穴以至地应力集中程度的影响，对含单个球形空穴的无限大弹性体受单向拉伸（压缩）时的应力集中问题，应用非局部线弹性理论进行了研究，建立问题的基本方程并采用分离变量法进行求解。研究结果表明：球形空穴边缘的应力集中不仅与弹性常数有关，而且随空穴尺寸与材料内部特征尺寸比值的变化而变化，因而较经典线弹性理论结果更符合实际。
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| 关 键 词： | 应力集中 球形 弹性体 非局部 空穴 |
NONLOCAL MEASUREMENT OF STRESS CONCENTRATION IN AN ELASTIC BODY WITH A SPHERICAL CAVITY |
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| Liu Zhenguo. NONLOCAL MEASUREMENT OF STRESS CONCENTRATION IN AN ELASTIC BODY WITH A SPHERICAL CAVITY[J]. Journal of Beijing University of Aeronautics and Astronautics, 1996, 22(3): 363-367 |
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| Authors: | Liu Zhenguo |
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| Abstract: | The stress concentration of an infinite elastic body with a spherical cavity was studied by using nonlocal linear elasticity.The study shows the stress concentration at the edge of the cavity not only relates to elastic modulus,but also varies with the different ratios of the size of the cavity to the internal characteristic length of the material. |
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| Keywords: | stress concentration sphere elastic bodies nonlocal cavities |
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