In this study, we investigated the dynamic stress concentration factor of single circular inclusion shallow buried in surface softlayered half space impacted by steady SH-wave using the complex variable function method and the wave function expansion method, and obtained the analytical solution. Based on the attenuation characteristic of SH-Wave scattering and using the large-arc assumption method, we converted the problem of the layer half space linear boundary to that of the circle boundary and, by an example, analyzed the influence of different incident wave numbers and the ratios of the circular inclusion to the half space on the distribution of the dynamic stress concentration factor and on the change of the maximum dynamic stress concentration when the incident SH-wave is vertical. Numerical examples show that the "softer" the circular inclusion, the greater its wave number of circular inclusions, and the larger the dynamic stress concentration factor around the circular inclusion; the maximum dynamic stress concentration factor around circular inclusion reaches its maximum value when the number of the incident SH-wave approaches 0.35.
Yu Xiang, Chen Qiliang, Zhao Yuetang, et al.The status quo and methods ofantiseismic research of underground structure[J]. Journal of PLA University of Science and Technology (Natural Science Edition), 2000, 1(5):63-69. http://d.old.wanfangdata.com.cn/Periodical/jfjlgdxxb200005013
[2]
Pao Y H, Mow C C, Achenbach J D.Diffraction of elastic waves and dynamic stress concentrations[M]. New York:Crane and Russak, 1973:114-304.
[3]
Liu D, Gai B, Tao G.Applications of the method of complex functions to dynamic stress concentrations[J]. Wave Motion, 1982, 4(3):293-304. doi: 10.1016/0165-2125(82)90025-7
Qi Hui, Shi Yong, Li Hongliang, et al.Dynamic analysis for scattering of SH-wave by circular cavitiesnear bimaterial interfaces in a vertical half-space[J]. Explosion and Shock Waves, 2009, 29(1):73-79. doi: 10.3321/j.issn:1001-1455.2009.01.014
[6]
Lee V W, Karl J.Diffraction of elastic plane P wave by circular underground unlined tunnels[J]. European Earthquake Engineering, 1993, 6(1):29-36.
Qi Hui, Chen Dongni, Cai Liming.Scattering of SH-wave to subsurface circular cavity andinclusion in a layered half-space and the induced ground motion[J]. Journal of Vibration and Shock, 2014, 33(22):152-156. http://d.old.wanfangdata.com.cn/Periodical/zdycj201422028
Lin Hong, Liu Diankui.Scattering of SH-wave around a circular cavity in half space[J]. Earthquake Engineering and Engineering Vibration, 2002, 22(2):9-16. doi: 10.3969/j.issn.1000-1301.2002.02.002