电/磁特性参数对多铁性层合柱谐振断裂行为的影响  

Effects of Electrical and Magnetic Characteristic Parameters on Resonant Fracture Behavior of a Multiferroic Cylindrical Structure

作　　者：郭运坤 靳莹[1] 张瑞芝[2] 张俊[1] 李永东[1] 

机构地区：[1]装甲兵工程学院机械工程系,北京100072 [2]中南大学数学统计学院,湖南长沙410083

出　　处：《装甲兵工程学院学报》2017年第3期100-105,共6页Journal of Academy of Armored Force Engineering

基　　金：国家自然科学基金资助项目(11372358)

摘　　要：针对多铁性复合材料谐振断裂力学问题,建立了谐振条件下多铁性层合柱动态断裂力学模型,然后应用分离变量法、无穷级数法、奇异积分方程和Lobatto-Chebyshev配点法研究了其谐振断裂行为,最后分析了压电系数、压磁系数、介电常数以及磁导率对应力强度因子(Stress Intensity Factor,SIF)一阶共振行为的影响。结果表明:在上述电/磁特性参数中,影响多铁性层合柱共振断裂行为的只有压电材料中的电特性参数和压磁材料中的磁特性参数。研究结果为多铁性智能器件的防断裂的优化设计提供了参考。In order to study the resonant fracture mechanics behavior of multiferroic composite material,a mechanical model is established for the dynamic fracture problem of a multiferroic cylindrical structure subjected to simple harmonic vibration. The resonant fracture behavior is studied by the combined methods of variable separation,infinite series,singular integral equation and Lobatto-Chebyshev collocation,and the effects of piezoelectric,piezomagnetic,dielectric coefficients and magnetic conductivity on the first order resonance behavior of Stress Intensity Factor（ SIF） mainly are analyzed. The results show that,among the above electrical and magnetic characteristic parameters,only can the electrical characteristic parameters of the piezoelectric ceramics and magnetic characteristic coefficients of the piezomagnetic material affect fracture resonance behavior in the multiferroic cylindrical structure. The obtained conclusion can provide guidelines for the anti-fracture optimal designs of multiferroic devices.

关 键 词：简谐振动 动态断裂 压电/压磁材料 应力强度因子 

分 类 号：O346.1[理学—固体力学]