压电压磁双层材料界面二维裂纹分析  

TWO DIMENSIONAL INTERFACIAL CRACKS ANALYSIS BETWEEN PIEZOELECTRIC AND PIEZOMAGNETIC LAYERS

作　　者：马鹏[1] 冯文杰[1] 靳静[2] 

机构地区：[1]石家庄铁道大学工程力学系,河北石家庄050043 [2]河北科技大学建筑工程学院,河北石家庄050018

出　　处：《工程力学》2011年第6期163-169,共7页Engineering Mechanics

基　　金：国家自然科学基金项目(10772123;11072160);河北省自然科学杰出青年基金项目(A2009001624)

摘　　要：该文利用积分变换和奇异积分方程技术研究压电压磁双材料界面裂纹二维断裂问题。假设界面上压电材料电势和压磁材料磁势为零;压电层表面受机械载荷和电位移作用,压磁层表面受机械载荷和磁导作用。导出了相应问题的应力强度因子和机械能量释放率的表达式,给出了机械能量释放率的数值结果。结果表明:在同样机械载荷作用下,压电压磁双材料界面裂纹要比相应的弹性双材料不易产生和(或)传播,而且增加层的高度可以抑制裂纹扩展。研究结果对多层电磁复合结构的设计具有理论与应用价值。Two dimensional fracture problem of interfacial cracks between piezoelectric and piezomagnetic layers are investigated by using integral transform method and singular integral equation technique.On the interface,both electric potential for piezoelectric material and magnetic potential for piezomagnetic material are assumed to be zero.On the boundaries of the bounded piezoelectric and piezomagnetic layers,both mechanical and electrical loads are applied to the surface of piezoelectric ceramics;both mechanical and magnetic loads are applied to the surface of piezomagnetic material.The stress intensity factors as well as mechanical energy release rates（MERRs） are derived.And the MERRs are further calculated and discussed.The numerical results show that the interfacial crack between piezoelectric and piezomagnetic bimaterials is more difficult to initiate and propagate than the one between corresponding elastic bimaterials under the same mechanical loadings,and that for a central interfacial crack,increasing the height of the layers generally can impede the crack propagation and growth.The results presented here should have potential applications to the design of multilayered magnetoelectroelastic structures.

关 键 词：压电材料 压磁材料 界面裂纹 应力强度因子 机械能量释放率 

分 类 号：O346.1[理学—固体力学]