[1]陆万顺,李 星.功能梯度/压电材料层合中裂纹对SH波的散射[J].南京师大学报(自然科学版),2009,32(02):55-59.
 Lu Wanshun,Li Xing.Scattering of SH Wave on Crack in Functionally Graded/Piezoelectric Layers[J].Journal of Nanjing Normal University(Natural Science Edition),2009,32(02):55-59.
点击复制

功能梯度/压电材料层合中裂纹对SH波的散射()
分享到:

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

卷:
第32卷
期数:
2009年02期
页码:
55-59
栏目:
物理学
出版日期:
2009-06-30

文章信息/Info

Title:
Scattering of SH Wave on Crack in Functionally Graded/Piezoelectric Layers
作者:
陆万顺1 李 星2
1. 宁夏师范学院数学与计算机科学学院, 宁夏固原756000 2. 宁夏大学数学计算机学院, 宁夏银川750021
Author(s):
Lu Wanshun1Li Xing2
1.Department of Mathematics and Computer Science,Ningxia Normal College,Guyuan 756000,China
关键词:
功能梯度/压电材料 裂纹 Four ie r变换
Keywords:
functiona lly graded /piezoe lec tric ma teria ls crack Four ier transfo rm
分类号:
O346.1
摘要:
讨论了功能梯度/压电材料层合中裂纹对SH波的散射,借助Fourier积分变换,将所研究的问题转化成对偶积分方程,运用Copson方法将对偶积分方程变为第二类Fredholm积分方程进行求解,最后通过数值计算,讨论了材料梯度参数、波数等因素对标准动应力强度因子的影响.
Abstract:
Scattering o f SH w ave on crack in functiona lly graded/ piezoe lectric layers is d iscussed. Fourier transform s are used to reduce the prob lem to the solution o f a pa ir of dua l integra l equations, w hich are then reduced to a Fredho lm integ ra l equation of second k ind by the Copson m ethod. Fina lly, num er ica l resu lts show ed the effec t of ma teria l g radient, the frequency o f wave and so on upon the no rma lized stress intensity factor.

参考文献/References:

[ 1] Param eswaran V, Shukla A. Crack-T ip stress fie lds of dynam ic fracture in functionally graded m a teria ls[ J]. M echanic o f M ater ia ls, 1999, 31( 9): 579- 596.
[ 2]  K im J H, Pau lino G H. Isoparam eter ic graded fin ite e lem en ts for nonhom og eneous isotropic and o rthotropic m ater ia ls[ J].ASME Journa l of App liedM echanics, 2002,69( 2): 502-514.
[ 3]  Kum ar S, Singh R N. C rack propagation in piezoelectricm a terials under comb ined m echan ica l and e lectr ica l loadings[ J].A ctaM ater ia lia, 1996, 44( 1): 173-200.
[ 4]  SoonM an Kwon. E lectrica l nonlinea r ant-i p lane shear crack in a functiona lly graded p iezoe lectr ic str ip[ J]. Inte rnational Journal o f So lids and Structures, 2003, 40( 21): 5 649-5 667.
[ 5]  Gu B, Yu SW, Feng X Q. E lastic wave scatte ring by an interface crack be tw een a piezo le lectr ic layer and an elastic substrate[ J]. Interna tiona l Journal o f Fracture, 2002, 116( 2): L29-L34.
[ 6]  W angX D. On the dynam ic behav io r o f inte racting interfac ial cracks in p iezoe lectr icm edia[ J]. Internationa l Journa l o f Solid and Structures, 2001, 38( 5) : 815-831.
[ 7]  Na rita F, Shindo Y. Sca tter ing o f ant-i plane shear wave by a fin ite crace in p iezoe lectr ic lam ina tes[ J]. Acta M echanica,1999, 134( 2) : 27-43.
[ 8]  B iX S, Chen J, Chen X L. Mov ing crack fo r functiona lly g rated m ater ia l in an infinite leng th str ip under antiplane shear[ J]. Theo re tica l and App lied FractureM echan ics, 2003, 39( 1) : 89-97.
[ 9]  W on SM, Won C, South K. On the dynam ic propagation o f an ant-i p lane shear crack in a functionally g raded p iezoe lectric strip[ J] . ActaM echan ica, 2004, 167( 2): 73-89.

备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 10661009)、宁夏自然科学基金(NZ0604 )资助项目. 通讯联系人: 陆万顺, 助教, 研究方向: 复分析及其在力学中的应用. E-m ail: lu5823@ 163. com
更新日期/Last Update: 2013-04-23