留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

压电材料中两平行不相等界面裂纹的动态特性研究

孙建亮 周振功 王彪

孙建亮, 周振功, 王彪. 压电材料中两平行不相等界面裂纹的动态特性研究[J]. 应用数学和力学, 2005, 26(2): 145-154.
引用本文: 孙建亮, 周振功, 王彪. 压电材料中两平行不相等界面裂纹的动态特性研究[J]. 应用数学和力学, 2005, 26(2): 145-154.
SUN Jian-liang, ZHOU Zhen-gong, WANG Biao. Dynamic Behavior of Two Unequal Parallel Permeable Interface Cracks in a Piezoelectric Layer Bonded to Two Half Piezoelectric Materials Planes[J]. Applied Mathematics and Mechanics, 2005, 26(2): 145-154.
Citation: SUN Jian-liang, ZHOU Zhen-gong, WANG Biao. Dynamic Behavior of Two Unequal Parallel Permeable Interface Cracks in a Piezoelectric Layer Bonded to Two Half Piezoelectric Materials Planes[J]. Applied Mathematics and Mechanics, 2005, 26(2): 145-154.

压电材料中两平行不相等界面裂纹的动态特性研究

基金项目: 国家自然科学基金资助项目(10172030;50232030);黑龙江省自然科学基金资助项目(A0301);黑龙江省杰出青年基金资助项目
详细信息
    作者简介:

    孙建亮(1977- ),男,山西曲沃人,博士(E-mail:zhouzhg@hit.edu.cn);周振功(1963- ),教授,博士,博士导师(联系人.Tel:+86-451-86402396;Fax:+86-451-86418251;E-mail:zhouzhg@hit.edu.cn)

  • 中图分类号: O345.51

Dynamic Behavior of Two Unequal Parallel Permeable Interface Cracks in a Piezoelectric Layer Bonded to Two Half Piezoelectric Materials Planes

  • 摘要: 利用Schmidt方法,研究了压电材料中两个平行不相等的可导通界面裂纹对简谐反平面剪切波的散射问题.利用Fourier变换,使问题的求解转换为对两对以裂纹面张开位移为未知变量的对偶积分方程的求解.数值计算结果表明,动态应力强度因子及电位移强度因子受裂纹的几何参数、入射波频率的影响.在特殊情况下,与已有结果进行了比较分析.同时,电位移强度因子远小于不可导通电边界条件下相应问题的结果.
  • [1] Pak Y E. Crack extension force in a piezoelectric material[J].Journal of Applied Mechanics, 1990,57(4): 647—653. doi: 10.1115/1.2897071
    [2] CHEN Zeng-tao, YU Shou-wen. Anti-plane vibration of cracked piezoelectric materials[J].Mechanics Research Communications, 1998,25(2): 321—327. doi: 10.1016/S0093-6413(98)00044-5
    [3] Meguid S A, Wang X D. Dynamic antiplane behaviour of interacting cracks in a piezoelectric medium[J].International Journal of Solids and Structures, 1998,91(2):391—403.
    [4] Soh A K, Fang D N, Lee K L. Analysis of a bi-piezoelectric ceramic layer with an interfacial crack subjected to anti-plane shear and in-plane electric loading[J].European Journal of Mechanics A/Solids, 2000,19(5):961—977. doi: 10.1016/S0997-7538(00)01107-4
    [5] Li X F, Tang G J. Antiplane interface crack between two bonded dissimilar piezoelectric layers[J].European Journal of Mechanics A/Solids, 2003,22(2): 231—242. doi: 10.1016/S0997-7538(03)00028-7
    [6] Narita F, Shindo Y, Watanabe K. Anti-plane shear crack in a piezoelectric layer bonded to dissimilar half spaces[J].JSME International Journal Series A, 1999,42(1): 66—72. doi: 10.1299/jsmea.42.66
    [7] ZHOU Zhen-gong, WANG Biao. The behavior of two parallel symmetry permeable interface cracks in a piezoelectric layer bonded to two half piezoelectric materials planes[J].International Journal of Solids and Structure,2002,39(17): 4485—4500. doi: 10.1016/S0020-7683(02)00347-5
    [8] 周振功,王彪.压电材料中两平行对称可导通裂纹断裂性能分析[J].应用数学和力学,2002,23(12): 1211—1219.
    [9] Morse P M, Feshbach H.Methods of Theoretical Physics[M]. New York: McGraw-Hill,1958,828—929.
    [10] Yan W F. Axisymmetric slipless indentation of an infinite elastic cylinder[J].SIAM Journal on Applied Mathematics, 1967,15(2):219—227. doi: 10.1137/0115018
    [11] Gradshteyn I S, Ryzhik I M.Table of Integral, Series and Products[M]. New York: Academic Press,1980,980—997.
    [12] Erdelyi A.Tables of Integral Transforms[M]. New York: McGraw-Hill, 1954,38.
    [13] Itou S. Stress intensity factors around a crack in a non-homogeneous interface layer between two dissimilar elastic half-planes[J].International Journal of Fracture, 2001,110(1):123—135. doi: 10.1023/A:1010851732746
    [14] ZHOU Zhen-gong,HAN Jie-cai, DU Shan-yi. Two collinear Griffith cracks subjected to uniform tension in infinitely long strip[J].International Journal of Solids and Structures, 1999,36(4):5597—5609. doi: 10.1016/S0020-7683(98)00250-9
    [15] Ratwani M, Gupta G D. Interaction between parallel cracks in layered composites[J].International Journal of Solids and Structures, 1974,10(4):701—708. doi: 10.1016/0020-7683(74)90034-1
  • 加载中
计量
  • 文章访问数:  2763
  • HTML全文浏览量:  157
  • PDF下载量:  479
  • 被引次数: 0
出版历程
  • 收稿日期:  2003-07-21
  • 修回日期:  2004-09-10
  • 刊出日期:  2005-02-15

目录

    /

    返回文章
    返回