含椭圆孔或裂纹压电介质平面问题的基本解

高存法; 樊蔚勋

含椭圆孔或裂纹压电介质平面问题的基本解

南京航空航天大学飞行器系, 南京 210016

详细信息

中图分类号: O343;O482
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出版历程
- 收稿日期: 1997-11-13
- 刊出日期: 1998-11-15

The Fundamental Solutions for the Plane Problem in Piezoelectric Media with an Elliptic Hole or a Crack

Department of Aircraft, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China

摘要

摘要: 应用复变函数的方法,并基于精确的电边界条件,导出了含一椭圆孔或裂纹的横观各向同性压电体在任意集中力和集中电荷作用下的复变函数解,即Cren函数解.叠加该解,得到了裂纹表面作用任意集中载荷或分布载荷时的一般解.这些解不但澄清了从前文献中一些不合理的结果,同时也为应用边界元法求解更复杂的压电介质断裂力学问题提供了基本解.
- 压电介质 /
- 椭圆孔 /
- 裂纹 /
- 平面问题 /
- 基本解
Abstract: Based on the complex potential method, the Green's functions of the plane problem in transversely isotropic piezoelectric media with an elliptic hole are obtained in terms of exact electric boundary conditions at therim of the hole. When the elliptic hole degenerates into a crack, the fundamental solutions for the field intensity factors are given. The general solutions for concentrated and distributed loads applied on the surface of the hole or crack are produced through the superposition of the fundamental solustions. With the aid of these soltuions, some erroneous results provided previously in other works are pointed out. More important is that these solutions can be used as the fundamental solutions of boundary method to solve more practical problems in piezoelectric media.
- piezoelectric media /
- elliptic hole /
- crack /
- plane strain /
- fundamental solution

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参考文献(18)

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