| 含椭圆孔的压电材料反平面应变问题的精确解 |
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| 引用本文： | 胡玉林,侯密山.含椭圆孔的压电材料反平面应变问题的精确解[J].中国石油大学学报(自然科学版),1998(1). |
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| 作者姓名： | 胡玉林 侯密山 |
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| 作者单位： | 石油大学机械系 |
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| 摘 要： | 考虑椭圆孔内空气介质对电场的作用，用复变函数的Ｆａｂｅｒ级数展开方法，分析了含椭圆孔的压电材料反平面应变问题的耦合场，给出了问题的精确解。将精确解与齐次边界条件结果（近似解）进行了比较，两者的弹性均完全一致，产生弹性场奇异性的物理因素相同。
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| 关 键 词： | 介质 椭圆孔 裂纹 强度因子 精确解 |
EXACT SOLUTION OF ANTIPLANE STRAIN PROBLEM FOR THE PIEZOELECTRIC MATERIALS WITH AN ELLIPTIC HOLE |
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| Hu Yulin,Hou Mishan.EXACT SOLUTION OF ANTIPLANE STRAIN PROBLEM FOR THE PIEZOELECTRIC MATERIALS WITH AN ELLIPTIC HOLE[J].Journal of China University of Petroleum,1998(1). |
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| Authors: | Hu Yulin Hou Mishan |
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| Abstract: | The electric field boundary conditions for the holes and voids at the material surfaces were considered as the homogeneous or constant boundary conditions by the previous researches.In this paper,in consideration of air medium inside the hole defects acting on the electric field, a coupled field of antiplane strain problem for the piezoelectric material with an elliptic hole is analyzed with an expression for potential function of complex veriable in Faber series. An exact solution of the problem is given.These results are compared with some results of previous researches by using homogeneous boundary conditions. |
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| Keywords: | piezoelectric material elliptic hole cracks intensity factor exact solution |
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