Citation: | Zhai Chao -jiao, Xia Tang -dai, Chen Wei -yun, Du Guo -qing. Transient response of cavity in infinite elastic soil to anti -plane impact[J]. Explosion And Shock Waves, 2014, 34(2): 209-215. doi: 10.11883/1001-1455(2014)02-0209-07 |
[1] |
Pao Yih-hsing, Mow C C. Diffraction of elastic waves and dynamic stress concentrations[M]. New York, USA: Adam Hilger Limited, 1973.
|
[2] |
Lee J, Mal A K. A volume integral equation technique for multiple scattering problems in elastodynamics[J]. Applied Mathematics and Computation, 1995, 67(1/2/3): 135-159. https://www.sciencedirect.com/science/article/pii/009630039400057B
|
[3] |
Davis C A, Lee V W, Bardet J P. Transverse response of underground cavities and pipes to incident SV waves[J]. Earthquake Engineering and Structural Dynamics, 2001, 30(3): 395-410. doi: 10.1002/eqe.14
|
[4] |
Iakovlev S. Interaction of a spherical shock wave and a submerged fluid-filled circular cylindrical shell[J]. Journal of Sound and Vibration, 2002, 255(4): 615-633. doi: 10.1006/jsvi.2001.4181
|
[5] |
Manolis G D. Elastic wave scattering around cavities in inhomogeneous continua by the BEM[J]. Journal of Sound and Vibration, 2003, 266(2): 281-305. https://www.sciencedirect.com/science/article/pii/S0022460X03001755
|
[6] |
Eason G. Propagation of waves from spherical and cylindrical cavities[J]. The Journal of Applied Mathematics and Physics, 1963, 14(1): 12-23. doi: 10.1007/BF01601142
|
[7] |
Eason G. The propagation of waves from a cylindrical cavity[J]. Journal of Composite Materials, 1973, 7(1): 90-99. doi: 10.1177/002199837300700107
|
[8] |
张庆元, 战人瑞.爆轰载荷作用下球形空腔的动力响应[J].爆炸与冲击, 1994, 14(2): 182-185. http://www.bzycj.cn/article/id/10625
Zhang Qing-yuan, Zhan Ren-rui. Dynamic response of a spherical cavity subjected to blast loads[J]. Explosion and Shock Waves, 1994, 14(2): 182-185. http://www.bzycj.cn/article/id/10625
|
[9] |
刘国利, 赵会滨, 许贻燕.阶跃SH波作用下半圆形凹陷地形的瞬态反应:长期解[J].地震工程与工程振动, 1995, 15(1): 92-99.
Liu Guo-li, Zhao Hui-bin, Xu Yi-yan. Transient response of semi-circular canyon under step SH wave: Long term solution[J]. Earthquake Engineering and Engineering Vibration, 1995, 15(1): 92-99.
|
[10] |
Herman H, Klosner J M. Transient response of a periodically supported cylindrical shell Immersed in a fluid medium[J]. Journal of Applied Mechanics, 1965, 32(3): 562-568. doi: 10.1115/1.3627259
|
[11] |
Geers T L. Excitation of an elastic cylindrical shell by a transient acoustic wave[J]. Journal of Applied Mechanics, 1969, 36(3): 459-469. doi: 10.1115/1.3564702
|
[12] |
杨峻, 宫全美, 吴世明, 等.饱和土体中圆柱形孔洞的动力分析[J].上海力学, 1996, 17(1): 37-45.
Yang Jun, Gong Qun-mei, Wu Shi-ming, et al. Dynamic analysis of cylindrical holes in saturated soil[J]. Shanghai Mechanics, 1996, 17(1): 37-45.
|
[13] |
Forrestal M J, Sagartz M J. Radiated pressure in an acoustic medium produced by pulsed cylindrical and spherical shells[J]. Journal of Applied Mechanics, 1971, 38(4): 1057-1060. doi: 10.1115/1.3408916
|
[14] |
Moodie T B, Barclay D W. Wave propagation from a cylindrical cavity[J]. Acta Mechanica, 1977, 27(1/2/3/4): 103-120.
|
[15] |
Moodie T B, Haddow J B, Mioduchowski A, et al. Plane elastic waves henerated by dynamical loading applied to edge of circular hole[J]. Journal of Applied Mechanics, 1981, 48(3): 577-581. doi: 10.1115/1.3157677
|
[16] |
Akkas N, Erdogogan F. The residual variable method applied to the diffusion equation in cylindrical coordinates[J]. Acta Mechanic, 1989, 79(3/4): 207-219. doi: 10.1007/BF01187263
|
[17] |
Zakout U, Akkas N. Transient response of a cylindrical cavity with and without a bonded shell in an infinite elastic medium[J]. International Journal of Engineering Science, 1997, 35(12/13): 1203-1220. https://www.sciencedirect.com/science/article/pii/S0020722597000116
|
[18] |
Feldgun V R, Kochetkov A V, Karinski Y S, et al. Internal blast loading in a buried lined tunnel[J]. International Journal of Impact Engineering, 2008, 35(3): 172-183. doi: 10.1016/j.ijimpeng.2007.01.001
|
[19] |
高盟, 高广运, 王滢, 等.内部荷载作用下圆柱形孔洞的动力响应解答[J].力学季刊, 2009, 30(2): 266-272.
Gao Meng, Gao Guang-yun, Wang Ying, et al. Solution on dynamic response of a cylindrical cavity under internal load[J]. Chinese Quarterly of Mechanics, 2009, 30(2): 266-272.
|
[20] |
高盟, 高广运, 王滢, 等.饱和土与衬砌动力相互作用的圆柱形孔洞内源问题解答[J].固体力学学报, 2009, 30(5): 481-488.
Gao Meng, Gao Guang-yun, Wang Ying, et al. Dynamic solutions of cylindrical cavities with the lining under internal load in the saturated soil[J]. Chinese Journal of Solid Mechanics, 2009, 30(5): 481-487.
|
[21] |
蔡袁强, 陈成振, 孙宏磊.黏弹性饱和土中隧道在爆炸荷载作用下的动力响应[J].浙江大学学报:工学版, 2011, 45(9): 1657-1663. doi: 10.3785/j.issn.1008-973X.2011.09.024
Cai Yuan-qiang, Chen Cheng-zhen, Sun Hong-lei. Dynamic response of tunnel in viscoelastic saturated soil subjec-ted to blast loads[J]. Journal of Zhejiang University: Engineering Science, 2011, 45(9): 1657-1663. doi: 10.3785/j.issn.1008-973X.2011.09.024
|
[22] |
Haddow J B, Lorimer S A, Tait R J. Nonlinear axial shear wave propagation in a hyperelastic incompressible solid[J]. Acta Mechanica, 1987, 66(1/2/3/4): 205-216. doi: 10.1007/BF01184294
|
[23] |
Haddow J B, Jiang L. Finite amplitude azimuthal shear waves in a compressible hyperelastic solid[J]. Journal of Applied Mechanics, 2001, 68(2): 145-152. doi: 10.1115/1.1334862
|
[24] |
Watanabe K, Payton R G. SH wave in a cylindrically anisotropic elastic solid a general solution for a point source[J]. Wave Motion, 1996, 25(2): 197-212. https://www.sciencedirect.com/science/article/pii/S0165212596000418
|
[25] |
Barclay D W. Wavefront expansion for non-linear axial shear wave propagation[J]. International Journal of Nonlinear Mechanics, 1998, 33(2): 259-274. doi: 10.1016/S0020-7462(97)00016-4
|
[26] |
Barclay D W. Shock front analysis for axial shear wave propagation in a hyperelastic incompressible solid[J]. Acta Mechanica, 1999, 133(1/2/3/4): 105-129. doi: 10.1007%2FBF01179013
|
[27] |
Barclay D W. Shock calculations for axially symmetric shear wave propagation in a hyperelastic incompressible solid[J]. International Journal of Non-linear Mechanics, 2004, 39(1): 101-121. doi: 10.1016/S0020-7462(02)00141-5
|
[28] |
Durbin F. Numerical inversion of Laplace transformation: An efficient improvement to Durbin and Abatep's method[J]. The Computer Journal, 1974, 17(4): 371-376. doi: 10.1093/comjnl/17.4.371
|
[29] |
梁昆淼.数学物理方法[M].北京: 高等教育出版社, 2010.
|
[30] |
Watson G N. Theory of Bessel function[M]. Cambridge, UK: Cambridge University Press, 1995.
|