| 含裂纹悬臂梁的塑性动力响应及破坏 |
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| 引用本文： | 杨嘉陵,余同希.含裂纹悬臂梁的塑性动力响应及破坏[J].北京大学学报(自然科学版),1991,27(5):576-589. |
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| 作者姓名： | 杨嘉陵 余同希 |
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| 作者单位： | 力学系
(杨嘉陵)，力学系(余同希) |
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| 摘 要： | 本文分析了含裂纹的悬臂梁在冲击载荷作用下的刚塑性动力响应,给出了整个响应过程封闭形式的完全解。然后将这个解与J积分及撕裂模数联系起来,给出了裂纹失稳扩展的准则。作为实例,计算了含腐蚀性裂纹的薄壁圆管受冲击载荷作用时的J积分和撕裂模数。
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| 关 键 词： | 悬臂梁 裂纹 动力响应 冲击载荷 |
Complete Solutions for Dynamic Response of a Rigid-Plastic Cantilever with Crack under Impact and the Crack Instable Growth Criteria |
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| YANG Jialing,YU Tongxi.Complete Solutions for Dynamic Response of a Rigid-Plastic Cantilever with Crack under Impact and the Crack Instable Growth Criteria[J].Acta Scientiarum Naturalium Universitatis Pekinensis,1991,27(5):576-589. |
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| Authors: | YANG Jialing YU Tongxi |
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| Abstract: | The paper analyses the dynamic response of a rigid-plastic cracked cantilever subjected to impact. The complete solutions for entire response process have been obtained and the criteria by which the stability of crack is determined are suggested by associating the solutions with J-integral and the tearing modulus of fracture. As an example of circumferential stress corrosion crack in cantilever thin-walled piping subjected to impact at its tip mass, the criteria are used to decide the stability of the crack. |
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| Keywords: | Cantilever Impact Rigid-plastic Dynamic response Complete Solution Crack J-integral Tearing modulus |
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