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《ACTA MECHANICA SINICA》 1998-05
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SCATTERING AND DYNAMIC STRESS CONCENTRATION OF SH-WAVE BY INTERFACE CIRCULAR HOLE 1)

Liu Diankui Liu Hongwei (Dept of Civil Engineering, Harbin Engineering University, Harbin 150001, China) 1) The project supported by the National Natural Science Foundation of China and the State Education Commission of China  
The present paper investigates the problem of SH-wave scattering and dynamic stress concentration by bi-material structure possessing cylindrical interface hole Green’s Function method is used here, which means a special essential solution suitable to the present problem must be constructed In terms of wave functions expansion method and Graf formula, we give the construction course for the special Green's function, and deduce it strictly from the essential solution for a perfect half space impacted by line source loading The special Green's function is an essential solution of displacement field for an elastic half space with a half cylindrical gap impacted by out-plane line source loading harmonically at horizontal surface Once the special Green's function is gotten,various scatering problems of SH-waves by a kind of interface blemish or complex flaw can be solved Here we only deal with the case of interface circular hole The model of the problem is composed of two half spaces with half cylindrical gaps Horizontal surfaces of the two half spaces are loaded with undetermined anti-plane forces in order to satisfy continuity conditions at interface section, and the added force at interface point of the circle is directly related to its dynamic stress concentration factor By combining two half spaces with unknown loading at surfaces into one infinite elastic body, the interface circular hole can be formed Therefore, a set of Fredholm integral equations of first kind to determine the unknown loading are established by use of the Green's function The integral equations can be transformed into algebraic equations and solved numerically Finally, examples of dynamic stress concentration are calculated, and the relations of dynamic stress concentration factors versus different parameters are illustrated The study indicates that wave number, incident wave angle and combination of different media parameters all play important roles for the problem of SH-wave scattering by interface circular hole Their influence often causes over-high stress appear at interface circle, and the circular hole may crack along interface section We can go on investigating scattering problem of SH-wave by cracks originating at hole edge in use of Green's function method shown above
【Fund】: 国家自然科学基金 国家教委博士点基金
【CateGory Index】: O343.4
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1 Lei LIU;Cun-fa GAO;State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics & Astronautics;;SCATTERING PROBLEM OF THE INTERFACE CIRCULAR CAVITY IN PIEZOELECTRIC MEDIA[A];[C];2012
【Co-references】
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1 GAO Chun;QI Hui;PAN Xiangnan;CAI Liming;ZHAO Yuanbo;College of Aerospace and Civil Engineering,Harbin Engineering University;Dept of Civil Engineering,Harbin University;;Anti-plane scattering of interfacial point source load and semi-circular cylinder in an elastic quarter space[J];哈尔滨工业大学学报;2015-10
2 Qi Hui;Cai Li-ming;Luo Guang-long;Pan Xiang-nan;Yang Jie;Wang Xian-zhang;Li Guo-wen;Jiang Jing-jiang;College of Aerospace and Civil Engineering,Harbin Engineering University;School of Mechanical Engineering,Shanghai Dianji University;China Construction First Engineering Division Corp.Ltd.;;Steady state analysis for circular cavity impacted by transmitted SH wave in a bi-material half space[J];爆炸与冲击;2015-04
3 QI Hui;CAI Li-ming;PAN Xiang-nan;GAO Chun;College of Aerospace and Civil Engineering, Harbin Engineering University;State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences;Department of Civil Engineering, Harbin University;;Ground motion of right-angle domain with a semi-circular cylindrical hill subjected to plane SH waves[J];岩土工程学报;2015-07
4 QI Hui;CAI Li-ming;PAN Xiang-nan;ZHANG De-wei;ZHANG Yang;College of Aerospace and Civil Engineering, Harbin Engineering University;;Scattering and seismic ground motion of circular cavity and salient with SH wave in a quarter space[J];岩土力学;2015-02
5 QI Hui;ZHAO Chun-xiang;HUANG Min;Civil Engineering College,Harbin Engineering University;Heilongjiang Institute of Science and Technology;;Dynamic effect of a subsurface cavity in half space under out-of-plane line source load on a cylindrical elastic inclusion with a semi-cylindrical hill[J];振动与冲击;2013-17
6 YANG Zai-lin,XU Hua-nan,HEI Bao-ping(College of Aerospace and Civil Engineering,Harbin Engineering University,Harbin 150001,China);Dynamic response of elliptical inclusion and crack near interface under vertically incident SH-wave from above[J];岩土力学;2013-08
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【Secondary References】
Chinese Journal Full-text Database 10 Hits
1 ZHANG Ximeng;QI Hui;XIANG Meng;DING Xiaohao;College of Aerospace and Civil Engineering,Harbin Engineering University;;Scattering of SH-wave by a circular lining and a semi-circular canyon near vertical interface crack in the bi-material half space[J];振动与冲击;2017-20
2 DING Xiaohao;QI Hui;ZHAO Yuanbo;College of Aerospace and Civil Engineering,Harbin Engineering University;;Scattering of SH-wave caused by an elliptical inclusion and a beeline crack in bi-material half space[J];振动与冲击;2017-11
3 ZHANG Qian;CHEN Wen-hua;School of Civil Engineering,Beijing Jiaotong University;;Cylindrical longitudinal vibration while metro train arriving at station[J];振动工程学报;2017-03
4 Zhang Ximeng;Qi Hui;Sun Xueliang;College of Aerospace and Civil Engineering,Harbin Engineering University;;Scattering of SH-wave by a circular cavity in radial inhomogeneous piezoelectric medium[J];爆炸与冲击;2017-03
5 GAO Meng;ZHANG Ji-yan;WANG Ying;CHAO Ming-song;CHEN Qing-shen;Shandong University of Science and Technology,Shandong Province Key Laboratory of Civil Engineering & Disaster Prevention and Mitigation;Institute of Civil Engineering and Architecture, Shandong University of Science and Technology;Department of Civil and Environmental Engineering, National University of Singapore;;Exact solutions for dynamic responses of a cylindrical lined tunnel in saturated soil to internal blast loads[J];岩土工程学报;2017-12
6 YU Yongxiu;Guangdong Polytechnic of Science and Technology;;Steel structure design model based on support vector machine modifying finite element analysis[J];现代电子技术;2017-03
7 ZHANG Qian;CHEN Wenhua;School of Civil Enginering,Beijing Jiaotong University;;Out-of-plane vibration induced by axial excitation while a metro train arriving at or leaving a station[J];振动与冲击;2016-24
8 ZHAO Yuanbo;QI Hui;DING Xiaohao;ZHAO Dongdong;College of Aerospace and Civil Engineering,Harbin Engineering University;;Dynamic analysis for a shallow buried circular cavity impacted by SH-Wave in a soft layered half-space[J];振动与冲击;2016-24
9 DING Xiaohao;QI Hui;ZHAO Yuanbo;College of Aerospace and Civil Engineering,Harbin Engineering University;;Scattering of SH-wave by an ellipse cavity in right-angle plane with beeline crack[J];岩石力学与工程学报;2016-S2
10 GAO Meng;ZHANG Ji-yan;GAO Guang-yun;CHEN Qing-shen;CHAO Ming-song;LI Da-yong;Institute of Civil Engineering and Architecture,Shandong University of Science and Technology;Shandong University of Science and Technology,Shandong Province Key Laboratory of Civil Engineering & Disaster Prevention and Mitigation;Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education,Tongji University;Department of Civil and Environmental Engineering,National University of Singapore;;Solution to transient response of a cylindrical lined tunnel in an infinite elastic medium under internal blast load[J];岩土工程学报;2017-08
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