功能梯度压电层状介质中反平面运动裂纹问题分析  

Analysis on the problem of anti-planar motion crack in a functional gradient piezoelectric laminar medium

作　　者：陆万顺[1] 郭玉彬[2] 马旭[1] 田彦山[1] LU Wan-shun;GUO Yu-bin;MA Xu;TIAN Yan-shan(Department of Mathematics and Computer Science,Ningxia Normal College,Guyuan 756000,Ningxia,China;School of Mathematics and Computer Science,Ningxia University,Yinchuan 750021,Ningxia,China)

机构地区：[1]宁夏师范学院数学与计算机科学学院,宁夏固原756000 [2]宁夏大学数学与计算机学院,宁夏银川750021

出　　处：《西北师范大学学报（自然科学版）》2018年第5期56-62,共7页Journal of Northwest Normal University(Natural Science)

基　　金：宁夏高等学校科学研究项目(NGY2017182);宁夏师范学院科学研究项目(NXSFZDC1803;NXSY201803);宁夏自然科学基金资助项目(2018AAC03243);宁夏高等学校一流学科建设(教育学学科)资助项目(NXYLXK20171311)

摘　　要：研究了功能梯度压电层状介质中反平面运动裂纹问题,在渗透型电边界条件下,应用积分变换技术将混合边值问题转化成对偶积分方程,然后化为第二类Fredholm积分方程,最后给出应力强度因子的表达式.通过数值算例分析了裂纹的运动速度、梯度参数和几何比率对应力强度因子的影响.A moving crack of antiplane along the interface of sandwich materials including functionally graded piezoelectric layer is studied in this paper.Taking account of the permeable boundary conditions,firstly,Fourier transforms are used to reduce the problem to the solution of a pair of dual integral equations,which are then reduced to a Fredholm integral equation of second kind by the Copson method.At last,numerical results showed the effect of loading combination parameter,gradient parameter sand geometric ration upon the normalized stress intensity factor.

关 键 词：功能梯度压电 反平面 裂纹 

分 类 号：O343.7[理学—固体力学]