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中文核心期刊

压电体椭圆孔边的力学分析

On the problem of piezoelectric solid with an elliptic hole

  • 摘要: 基于复变函数的方法,以PZT-4材料为例,分别采用精确电边界条件和非导通电边界条件进行了远场均匀载荷作用下的横观各向同性压电体椭圆孔的力学分析并与相关结果进行对比. 结果表明当椭圆孔退化为圆孔时,无论在远场作用力载荷或电载荷,两种电边界条件下的结果均能完全吻合. 随着椭圆孔的愈加尖锐化,非导通电边界条件逐渐不能适用.

     

    Abstract: An electroelastic analysis is performed on a transverselyisotropic material containing elliptic hole, which subject to a uniformstress field \sigma ^\infty and a uniform electric displacement fieldD^\infty at infinity while the surface of the hole is free of tractionand electrically open. Taking PZT-4 ceramic into consideration, the resultsbased on the exact electric boundary conditions and the impermeable electricboundary conditions are all obtained. It can be seen that the relatedresults of these two electric boundary conditions are entirely identicalwhen the hole is a circular hole. The impermeable electric boundarycondition is becoming incorrect with the elliptic hole degenerating into acrack. A comparison between these present results and the related resultsshows that the present results are validity. It also shows that some resultsgiven by Sosa are incorrect maybe due to his calculation, not theimpermeable electric boundary.

     

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