Dynamic Effect of Out-Plane Line Source Load by A Cylindrical Elastic Inclusion with A Semi-Cylindrical Hill Above Subsurface Cavity in Half Space
QI Hui 1, ZHAO Chun-xiang1,2,HUANG Min1
1, Civil Engineering College, Harbin Engineering University, Harbin 150001, China2, Heilongjiang Institute of Science and Technology, Harbin 150001, China
Abstract：The dynamic effect of a cylindrical elastic inclusion with a semi-cylindrical hill above subsurface circular cavity in half space while bearing out-of-plane harmonic line source load on horizontal interface have been considered using the methods of complex function and multi-polar coordinate. The solution of dynamic effect was given by the idea of “partitioning” and “conjunction”. Firstly, divide the solution domain into two. The one was an elastic half space with the semi-circular canyon and circular cavity, and the second one was a cylindrical elastic inclusion. Secondly, the scattering wave field, which satisfies the free stress boundary conditions of the half space on the horizontal interface and circular cavity boundary could be constructed, moreover, a standing wave in the inclusion and a scattering wave outside it were formulated separately. Finally, we conjoin the two domains to satisfy the continuous condition of displacement and stress around the common boundary and the stress free boundary condition of circular cavity boundary, and a series of infinite algebraic equations could be obtained to settle this problem. In the examples, numerical results for dynamic stress concentration factor of around cylindrical elastic inclusion edge are presented and discussed. Numerical results show that the existence of circular cavity will have different effects on dynamic stress concentration factor of around the ‘soft ’and ‘hard’ cylindrical inclusion edge.
齐 辉;赵春香;黄敏. 出平面线源荷载作用下半空间内浅埋圆孔对半圆形凸起的圆柱形弹性夹杂的动力影响[J]. , 2013, 32(17): 109-112.
QI Hui;ZHAO Chun-xiang;HUANG Min. Dynamic Effect of Out-Plane Line Source Load by A Cylindrical Elastic Inclusion with A Semi-Cylindrical Hill Above Subsurface Cavity in Half Space . , 2013, 32(17): 109-112.
2013, Vol. 32 
