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

压电材料中两平行不相等界面裂纹的动态特性研究

哈尔滨工业大学复合材料研究所,哈尔滨 150001

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
计量
- 文章访问数: 2749
- HTML全文浏览量: 154
- PDF下载量: 478
- 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

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

P. O. Box 1247, Center for Composite Materials, Harbin Institute of Technology, Harbin, 150001, P. R. China

摘要

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．
- 界面裂纹 /
- 弹性波 /
- 强度因子 /
- 压电材料 /
- Schmidt方法
Abstract: The dynamic behavior of two unequal parallel permeable interface cracks in a piezoelectric layer bonded to two half-piezoelectric material planes subjected to harmonic anti-plane shear waves is investigated.By using the Fourier transform,the problem can be solved with the help of two pairs of dual integral equations in which the unknown variables were the jumps of the displacements across the crack surfaces.Numerical results are presented graphically to show the effects of the geometric parameters,the frequency of the incident wave on the dynamic stress intensity factors and the electric displacement intensity factors.Especially,the present problem can be returned to static problem of two parallel permeable interface cracks.Compared with the solutions of impermeable crack surface condition,it is found that the electric displacement intensity factors for the permeable crack surface conditions are much smaller.
- interface crack /
- elastic wave /
- intensity factor /
- piezoelectric material /
- Schmidt method

HTML全文

参考文献(15)

[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

施引文献

资源附件(0)

访问统计

计量

文章访问数: 2749
HTML全文浏览量: 154
PDF下载量: 478
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

压电材料中两平行不相等界面裂纹的动态特性研究

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)

计量

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

计量

目录

留言板

压电材料中两平行不相等界面裂纹的动态特性研究

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)

计量

出版历程

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

计量

出版历程

目录

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)