| 具有中间穿透裂纹载流薄板裂纹前缘的应力场 |
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| 引用本文： | 田振国,郑坚,白象忠.具有中间穿透裂纹载流薄板裂纹前缘的应力场[J].燕山大学学报,2004,28(6):493-498. |
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| 作者姓名： | 田振国 郑坚 白象忠 |
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| 作者单位： | 1. 中国科学院力学研究所,国家非线性连续介质力学重点实验室,北京,100080;燕山大学,建筑工程与力学学院,河北,秦皇岛,066004
2. 中国科学院力学研究所,国家非线性连续介质力学重点实验室,北京,100080;中国人民解放军军械工程学院一系,河北,石家庄,050003 |
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| 基金项目： | 国家自然科学基金资助项目(No. 50275128) |
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| 摘 要： | 用复变函数方法研究了带有中间穿透裂纹的载流薄板在瞬间电流通入时，在裂纹尖端处由于电流集中及电磁热效应而形成的点热源的计算方法，进而推导并计算了由此热源在裂纹前缘产生的温度场和应力场。通过控制通入电流密度，可以使裂纹尖端温升达到熔化状态，至使裂尖钝化，由温升产生的压应力可以遏制裂纹的扩展。在文中讨论了裂尖附近材料的热传导系数、线胀系数、弹性模量随温度的变化，及其对应力场的影响。
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| 关 键 词： | 载流薄板 裂纹尖端 穿透 点热源 电磁热效应 复变函数方法 应力场 中间 流通 产生 |
| 文章编号： | 1007-791X(2004)06-0493-06 |
| 修稿时间： | 2004年7月20日 |
Stress field around crack tip inside thin current-carrying plate |
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| TIAN Zhen-guo,ZHENG Jian,BAI Xiang-zhong.Stress field around crack tip inside thin current-carrying plate[J].Journal of Yanshan University,2004,28(6):493-498. |
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| Authors: | TIAN Zhen-guo ZHENG Jian BAI Xiang-zhong |
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| Institution: | TIAN Zhen-guo1,2,ZHENG Jian1,3,BAI Xiang-zhong1,2 |
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| Abstract: | In this paper, a thin current-carrying plate with a penetrated crack is analysed when an instant electric current is switched on. Complex analysis method is used to propose the way of how to calculate the point heat source which is formed owing to the heat concentration effect on the crack tip. Furthermore, the temperature field and the stress field near the crack leading edge are also deduced. Theoretical analysis and experimental surreys show that if the electric current density is controlled, the material around the crack tip will melt due to the heat concentration effect, at the same time the super passive tissue and the compressive stress around the crack tip can prevent the crack from propagating. The influence of heat transfer coefficient varying with tempera- ture on stress field is also discussed. |
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| Keywords: | thin current-carrying plate crack tip temperature field stress field complex function |
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