各向异性压电材料平面裂纹的耦合场分析  

COUPLED SOLUTION FOR ANISOTROPIC PIEZOELECTRIC MATERIALS WITH CRACK

作　　者：胡玉林[1] 侯密山[1] 

机构地区：[1]石油大学建筑工程系,东营257062

出　　处：《固体力学学报》2000年第4期325-329,共5页Chinese Journal of Solid Mechanics

基　　金：山东省自然科学基金资助项目(项目编号:Y99A02)

摘　　要：用Stroh方法分析了各向异性压电材料电导通型裂纹问题的耦合场 .结果表明 ,裂纹面上的切向电场强度和法向电位移均为常数 ,在裂纹尖端有由弹性场的耦合作用产生的奇异 ;电导通裂纹模型中的静电场对裂纹尖端扩展的能量释放率不作贡献 .The coupled elastic and electric fields for the anisotropically piezoelectric materials with electrically permeable cracks are exactly analyzed by using Stroh formulae in anisotropic elasticity. It is shown from the solution that the tangent component of the electric field strength and the normal component of the electric displacement along the faces of those cracks are all constants. Both the electric field intensity and the electric displacement have (1/2) type of singularity at the crack tip. The energy release rate for crack propagation depends only on the stress intensity factor and the material constants.

关 键 词：压电介质 裂纹 强度因子 能量释放率 各向异性 耦合场 

分 类 号：O346[理学—固体力学]