| 含半无限长裂纹导电薄板的热电磁止裂问题 |
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| 引用本文： | 胡宇达,白象忠.含半无限长裂纹导电薄板的热电磁止裂问题[J].应用基础与工程科学学报,2001,9(1):64-67. |
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| 作者姓名： | 胡宇达 白象忠 |
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| 作者单位： | 燕山大学土木工程与力学系，秦皇岛 066004 |
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| 基金项目： | 国家自然科学基金(19772046)和河北省自然科学基金(599255)资助项目 |
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| 摘 要： | 对含半无限长直线裂纹的无限大导电薄板的热电磁止裂问题进行了研究。以导电弹性体的麦克斯威尔方程为出发点，推得了在向板内通入电流的瞬时，裂纹尖端附近电流密度的表达式。在此基础上，通过对热传导方程的求解，得到了裂纹尖端区域处温度的具体表达式。最后，给出了算例分析，表明适当强度电流的通入，可在相应的瞬时内使裂纹尖端处熔化，形成焊口，从而达到裂纹止裂的目的。
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| 关 键 词： | 裂纹尖端 导电薄板 表达式 裂纹止裂 无限大 热传导方程 求解 熔化 电流密度 强度 |
| 文章编号： | 1005-0930（2001）-01-0064-04 |
| 修稿时间： | 2000年7月24日 |
On the Thermo-electromagnet Crack-preventing of a Thin Conducting Plate with a
Semi-infinite Crack in it |
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| HU Yuda,BAI Xiangzhong.On the Thermo-electromagnet Crack-preventing of a Thin Conducting Plate with a
Semi-infinite Crack in it[J].Journal of Basic Science and Engineering,2001,9(1):64-67. |
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| Authors: | HU Yuda BAI Xiangzhong |
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| Abstract: | The thermo electromagnetic crack preventing process was studied in the infinite thin conducting plate loath a semi infinite straight crack within .The equations of electricity current density nerve the crack tip were derived on basis of Maxwell's equations and the concrete expressions of the temperature in the crack tip field were obtained by solvating the thermo conductive equations .The completing example plate would melt inside nerve the crack tip and so the cracking is prevented. |
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| Keywords: | thermo magnet elastic crack current keeping crack within limits |
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