Steady state analysis for circular cavity impacted by transmitted SH wave in a bi-material half space

Qi Hui; Cai Li-ming; Luo Guang-long; Pan Xiang-nan; Yang Jie; Wang Xian-zhang; Li Guo-wen; Jiang Jing-jiang

doi:10.11883/1001-1455(2015)04-0591-08

Volume 35 Issue 4

Jun. 2016

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Qi Hui, Cai Li-ming, Luo Guang-long, Pan Xiang-nan, Yang Jie, Wang Xian-zhang, Li Guo-wen, Jiang Jing-jiang. Steady state analysis for circular cavity impacted by transmitted SH wave in a bi-material half space[J]. Explosion And Shock Waves, 2015, 35(4): 591-598. doi: 10.11883/1001-1455(2015)04-0591-08

Citation:

Qi Hui, Cai Li-ming, Luo Guang-long, Pan Xiang-nan, Yang Jie, Wang Xian-zhang, Li Guo-wen, Jiang Jing-jiang. Steady state analysis for circular cavity impacted by transmitted SH wave in a bi-material half space[J]. Explosion And Shock Waves, 2015, 35(4): 591-598. doi: 10.11883/1001-1455(2015)04-0591-08

Citation:

Qi Hui, Cai Li-ming, Luo Guang-long, Pan Xiang-nan, Yang Jie, Wang Xian-zhang, Li Guo-wen, Jiang Jing-jiang. Steady state analysis for circular cavity impacted by transmitted SH wave in a bi-material half space[J]. Explosion And Shock Waves, 2015, 35(4): 591-598. doi: 10.11883/1001-1455(2015)04-0591-08

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Steady state analysis for circular cavity impacted by transmitted SH wave in a bi-material half space

doi: 10.11883/1001-1455(2015)04-0591-08

1.
College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang, China
2.
School of Mechanical Engineering, Shanghai Dianji University, Shanghai 201306, China
3.
China Construction First Engineering Division Corp. Ltd., Beijing 100070, China

Received Date: 2013-12-04
Rev Recd Date: 2014-03-01
Publish Date: 2015-07-25

Abstract

Abstract

To study the way that the plane SH wave propagating in an elastic bi-material half space from medium Ⅰ to medium Ⅱ, the steady-state scattering of the transmitted wave by a circular cavity is analyzed by using Green function and integral equation methods on complex function description. The bi-material half space is divided into a quarter space medium Ⅰ and a quarter space medium Ⅱ with a circular cavity in it. Their Green functions are constructed as anti-plane point source response problem respectively. The total displacement fields of medium Ⅰ and medium Ⅱ are formulated as two parts' vector sum. The first part is interfacial integral of interactive force multiplied by corresponding Green function. The second part is plane displacement field formed by omitting the circular cavity. Steady state solution is obtained by determining the integral equations along interface with displacement continuity. Numerical results are presented to reveal the effects of locations and material parameters on circular cavity scattering.
- solid mechanics,
- scattering,
- Green function,
- SH wave,
- a circular cavity,
- a bi-material half space,
- vibration and wave

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References(18)

References

[1]	Achenbach J D. Wave propagation in elastic solids[M]. Netherlands, Amsterdam: North-Holland, 1973.
[2]	胡德绥.弹性波动力学[M].北京: 地质出版社, 1989.
[3]	Ying C F, Truell R. Scattering of plane longitudinal wave by a spherical obstacle in an isotropically elastic solid[J]. Journal of Applied Physics, 1956, 27(9): 1086-1097. http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5121709
[4]	PaoY H, Mow C C. Diffraction of elastic waves and dynamic wtress concentrations[M]. New York: Crane & Russak, 1973.
[5]	Liu D K, Gai B Z, Tao G Y. Applications of the method of complex functions to dynamic stress concentrations[J]. Wave Motion, 1982, 4(3): 293-304. http://www.sciencedirect.com/science/article/pii/0165212582900257
[6]	刘殿魁.各向异性介质中Ⅲ型裂缝的动力分析[J].地震工程与工程振动, 1991, 11(2): 29-38. http://www.cqvip.com/QK/95364X/19912/462508.html Liu Dian-kui. Analysis of dynamic stresses of mode Ⅲ crack in anisotropic materials[J]. Earthquake Engineering and Engineering Vibration, 1991, 11(2): 29-38. http://www.cqvip.com/QK/95364X/19912/462508.html
[7]	刘殿魁, 刘宏伟. SH波散射与界面圆孔附近的动应力集中[J].力学学报, 1998, 30(5): 597-604. Liu Dian-kui, Liu Hong-wei. Scattering and dynamic stress concentration of SH-wave by interface circular hole[J]. Acta Mechanica Sinica, 1998, 30(5): 598-604.
[8]	刘殿魁, 田家勇. SH波对界面圆柱形弹性夹杂散射及动应力集中[J].爆炸与冲击, 1999, 19(2): 115-122. http://www.bzycj.cn/article/id/10328 Liu Dian-kui, Tian Jia-yong. Scattering and dynamic stress concentration of SH-wave by interface cylindrical elastic inclusion[J]. Explosion and Shock Waves, 1999, 19(2): 115-122. http://www.bzycj.cn/article/id/10328
[9]	史文谱, 刘殿魁, 宋永涛.直角平面区域内固定圆形刚性夹杂问题的Green函数解[J].固体力学学报, 2006, 27(2): 207-212. http://www.cqvip.com/Main/Detail.aspx?id=22435451 Shi Wen-pu, Liu Dian-kui, Song Yong-tao. The anti-plane Green function solution of the problem of a fixed rigid circular inclusion in right-angle plane[J]. Acta Mechanica Solida Sinica, 2006, 27(2): 207-212. http://www.cqvip.com/Main/Detail.aspx?id=22435451
[10]	史文谱, 刘殿魁, 宋永涛, 等.直角平面内圆孔对稳态SH波的散射[J].应用数学和力学, 2006, 27(12): 1619-1626. http://d.wanfangdata.com.cn/Periodical_yysxhlx200612004.aspx Shi Wen-pu, Liu Dian-kui, Song Yong-tao, et al. Scattering of circular cavity in right-angle plane space to steady SH-wave[J]. Applied Mathematics and Mechanics, 2006, 27(12): 1619-1626. http://d.wanfangdata.com.cn/Periodical_yysxhlx200612004.aspx
[11]	折勇, 齐辉, 杨在林. SH波对直角平面区域内圆形孔洞的散射与地震动[J].应用力学学报, 2008, 25(3): 392-397. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=yylxxb200803009 Shi Yong, Qi Hui, Yang Zai-lin. Scattering of SH-wave by circular cavity in right-angle plane and seismic ground motion[J]. Chinese Journal of Applied Mechanics, 2008, 25(3): 392-397. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=yylxxb200803009
[12]	张根昌, 齐辉, 刘平安. SH波对直角平面区域内圆形衬砌的散射与地震动[J].力学与实践, 2013, 35(1): 60-66. http://d.wanfangdata.com.cn/Periodical/yylxxb200803009 Zhang Gen-chang, Qi Hui, Liu Ping-an. Scattering of SH-wave by circular lining in right-angle plane and seismic ground motion[J]. Mechanics in Engineering, 2013, 35(1): 60-66. http://d.wanfangdata.com.cn/Periodical/yylxxb200803009
[13]	刘殿魁, 林宏. SH波对双相介质界面附近圆形孔洞的散射[J].固体力学学报, 2003, 24(2): 197-2004. http://d.wanfangdata.com.cn/Periodical/gtlxxb200302010 Liu Dian-kui, Lin Hong. Scattering of SH-waves by circular cavities near bi-material interface[J]. Acta Mechanica Solida Sinica, 2003, 24(2): 197-2004. http://d.wanfangdata.com.cn/Periodical/gtlxxb200302010
[14]	齐辉, 折勇, 李宏亮, 等. SH波入射时垂直半空间中双相介质界面附近圆孔的动力分析[J].爆炸与冲击, 2009, 29(1): 73-79. doi: 10.11883/1001-1455(2009)01-0073-07 Qi Hui, Shi Yong, Li Hong-liang, et al. Dynamic analysis for scattering of SH-wave by circular cavities near bimaterial interfaces in a vertical half-space[J]. Explosion and Shock Waves, 2009, 29(1): 73-79. doi: 10.11883/1001-1455(2009)01-0073-07
[15]	齐辉, 杨杰. SH波入射双相介质半空间浅埋任意位置圆形夹杂的动力分析[J].工程力学, 2012, 29(7): 320-327. http://www.cnki.com.cn/Article/CJFDTotal-GCLX201207048.htm Qi Hui, Yang Jie. Dynamic analysis for shallowly buried circular inclusions of arbitrary positions impacted by SH-wave in bi-material half space[J]. Engineering Mechanics, 2012, 29(7): 320-327. http://www.cnki.com.cn/Article/CJFDTotal-GCLX201207048.htm
[16]	Qi H, Yang J, Shi Y. Scattering of SH-wave by cylindrical inclusion near interface in bi-material half space[J]. Journal of Mechanics, 2011, 27(1): 37-45. http://journals.cambridge.org/abstract_S1727719111000050
[17]	Qi H, Yang J, Shi Y, Tian J Y. Dynamic analysis for circular inclusion near interfacial crack impacted by SH wave in half space[J]. Journal of Mechanics, 2012, 28(1): 143-151. http://www.sciencedirect.com/science/article/pii/S0997753812000319
[18]	Qi H, Yang J. Dynamic analysis for circular inclusions of arbitrary positions near interfacial crack impacted by SH-wave in half-space[J]. European Journal of Mechanics: A: Solids, 2012, 36: 18-24. http://www.sciencedirect.com/science/article/pii/S0997753812000319