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具有中间穿透裂纹载流薄板裂纹前缘的应力场

Stress field around crack tip inside thin current-carrying plate

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【作者】 田振国郑坚白象忠

【Author】 TIAN Zhen-guo1,2, ZHENG Jian1,3, BAI Xiang-zhong1,2 (1. The State Key Laboratory of Nonlinear Continuum Mechanical LNM), Beijing 100080, China; 2. College of Architecture ( Engineering and Mechanics, YanshanUniversity, Qinhangdao, Hebei 066004, China; 3. Dept. of Artillery Engineering, Ordnance Engineering College, Shijiazhuang, Hebei 050003, China)

【机构】 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,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,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,北京100080中国人民解放军军械工程学院一系,河北石家庄050003,北京100080燕山大学建筑工程与力学学院,河北秦皇岛066004

【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。

【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.

【基金】 国家自然科学基金资助项目(No. 50275128)
  • 【文献出处】 燕山大学学报 ,Journal of Yanshan University , 编辑部邮箱 ,2004年06期
  • 【分类号】O346.1
  • 【被引频次】5
  • 【下载频次】577
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