横观各向同性双压电板Ⅲ型界面裂纹力学分析  

Stress Field Analysis Near the Interface Crack Tip for Mode Ⅲ of Transverse Isotropic Dual Piezoelectric Materials

作　　者：韩贵花 张雪霞[1] 解海玲 赵文彬[1] 王慧[1] 

机构地区：[1]太原科技大学应用科学学院,太原030024

出　　处：《太原科技大学学报》2016年第2期144-148,共5页Journal of Taiyuan University of Science and Technology

基　　金：太原科技大学博士启动资金(20122005);太原科技大学研究生科技创新项目(20125027;20111028)

摘　　要：研究含界面裂纹的横观各向同性双压电材料板在反平面剪切载荷和平面内电位移共同作用下的裂纹尖端场问题。利用复变函数方法,引入含待定实系数的应力函数,借助边界条件和待定系数法,建立非齐次线性方程组。求解得到满足控制方程和边界条件的应力函数,推导得到双压电材料板Ⅲ型界面裂纹尖端的应力场、电位移场和应力强度因子、电位移强度因子的表达式。The problem near the interface crack tip for mode Ⅲ of transversely isotropic dual piezoelectric materialswas studied under anti-plane shear load and plane electric displacement field. With the help of the complex tunc- tion method, the stress function containing undetermined real coefficients based on boundary conditions and unde- termined coefficient method were introduced to establish a non-homogeneous linear equations. The stress function to satisfy the boundary conditions is got by solving equations. After that, near the interface crack tip for mode Ⅲ of transverse isotropic dual piezoelectric materials, the computational formulas of stress intensity factor, electric dis- placement factor, stress field and electric displacement are further deduced.

关 键 词：双压电材料 Ⅲ型界面裂纹 复变函数 横观各向同性 

分 类 号：O157.5[理学—数学]