| 压电陶瓷板中非电渗透型反平面裂纹的电弹性场 |
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| 引用本文： | 李显方,范天佑.压电陶瓷板中非电渗透型反平面裂纹的电弹性场[J].应用数学和力学,2002,23(2):179-187. |
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| 作者姓名： | 李显方 范天佑 |
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| 作者单位： | 1.湖南师范大学理学院, 长沙 410081; |
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| 摘 要： | 对受4种机电载荷的内含裂纹的压电陶瓷板的电弹性行为进行了分析。利用积分变换方法将非电渗透型反平面裂纹问题化为对偶积分方程组,求解这些方程组可以获得裂纹线上电弹性场的明显解析表达式,及裂尖处一些量的强度因子和机械应变能释放率。当板的厚度趋近于无穷大时,所得结果还原为熟知结果。
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| 关 键 词： | 压电陶瓷 电弹性场 反平面问题 非电渗透型裂纹 |
| 文章编号： | 1000-0887(2002)02-0179-09 |
| 收稿时间： | 2000-06-20 |
| 修稿时间： | 2000年6月20日 |
Electroelastic Field for an Impermeable Anti-Plane Shear Crack in a Piezoelectric Ceramics Plate |
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| LI Xian-fang ,FAN Tian-you.Electroelastic Field for an Impermeable Anti-Plane Shear Crack in a Piezoelectric Ceramics Plate[J].Applied Mathematics and Mechanics,2002,23(2):179-187. |
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| Authors: | LI Xian-fang FAN Tian-you |
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| Institution: | 1.College of Science, Hunan Normal University, Changsha 410081, P R China;2.Research Center for Materials Science, Beijing Institute of Technology, Beijing 100081, P R China |
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| Abstract: | Electroelastic behavior of a cracked piezo electric ceramics plate subjected to four cases of combined mechanical-electrical loads was analyzed. The integral transform method was applied to convert the problem involving an impermeable anti-plane crack to dual integral equations. Solving the resulting equations, the explicit analytic expressions for electr oelastic field along the crack line and the intensity factors of relevant quantities near the crack tip and the me chanical strain energy releaser ate were obtained. The known results for an infinite piezoelectr icceramics plane containing an impermeable anti-plane crack are recovered from the present results only if the thickness of the plate hy. |
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| Keywords: | piezoelectirc ceramics electroelastic field anti-plane shear problem impermeable crack |
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