含椭圆形夹杂的压电材料平面问题

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Plane Problems in Piezoelectric Media with Elliptic Inclusion

摘要: 应用复变函数的Faber级数展开方法,本文研究了含椭圆形夹杂的压电材料平面问题,给出了问题的封闭解.解答表明,椭圆夹杂内的应力、应变、电场强度和电位移均为常量.通过算例,还讨论了正、逆压电效应在基体孔周处的机电行为.
- 压电介质 /
- 夹杂 /
- 平面问题 /
- Faber级数
Abstract: This paper expresses potential function of complex variable in Fabere series and the solution in closed form is provided for the plane stress problems in piezoelectric media with elliptic inchusion.It is shown from the solution that the stress,strain,electric field intensity and electric displacement in inclusion are all constant.In addition,the electromechanical behavior of piezoelectric influence at the elliptic rim of the infinite matrix with only acting mechanical or electric load is discussed with numerical examplex.
- piezoelectric media /
- inclusion /
- plane problem /
- Faber series

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