Pao Y H, Mow C C. Diffraction of Elastic Waves and Dynamic Stress Concentrations. New York: Crane and Russak, 1973.
[2]
徐长节, 吴世明, 蔡袁强等. 波在饱和土中柱状空穴界面上的反射. 计算力学学报, 1997, 14(增刊): 291-294. Xu C J, Wu S M, Cai Y Q, et.al. Refracting of plane waves by cylindrical cavity in saturated soil. Chinese Journal of Computational Mechanics (in Chinese), 1997, 14(Suppl.): 291-294.
[3]
Biot M A. Theory of propagation of elastic waves in fluid-saturated porous solid. I. Low-frequency range. The Journal of the Acoustical Society of America, 1956, 28(2): 168-178.
[4]
Deresiewicz H, Skalak R. On uniqueness in dynamic poroelasticity. Bulletin of the Seismological Society of America, 1963, 53(4): 783-788.
[5]
Durbin F. Numerical inversion of Laplace transforms: an efficient improvement to Dubner and Abate''s method. The Computer Journal, 1974, 17(4): 371-376.
[6]
胡亚元, 王立忠, 陈云敏等. 饱和土中平面应变波在圆柱体上的散射和折射. 地震学报, 1998, 20(3): 300-307. Hu Y Y, Wang L Z, Chen Y M, et.al. Scattering and refracting of plane strain waves by cylinder in saturated soil. Acta Seismological Sinica (in Chinese), 1998, 20(3): 300-307.
[7]
陆建飞, 王建华. 饱和土中的任意形状孔洞对弹性波的散射. 力学学报, 2002, 34(6): 904-913. Lu J F, Wang J H. The scattering of elastic waves by holes of arbitrary shapes in saturated soil. Acta Mechanica Sinica (in Chinese), 2002, 34(6): 904-913.
[8]
Kattis S E, Beskos D E, Cheng A H D. 2D dynamic response of unlined and lined tunnels in poroelastic soil to harmonic body waves. Earthquake Engineering and Structural Dynamics, 2003, 32(1): 97-110.
[9]
李伟华, 赵成刚. 饱和土半空间中圆柱形孔洞对平面P波的散射. 岩土力学, 2004, 25(12): 1867-1872. Li W H, Zhao C G. An analytical solution for diffraction of plane P-waves by cylindrical cavity in a fluid-saturated porous media semi-space. Rock and Soil Mechanics (in Chinese), 2004, 25(12): 1867-1872.
[10]
李伟华, 赵成刚. 平面SV波在饱和土半空间中圆柱形孔洞周边的散射. 地震工程与工程振动, 2008, 28(6): 1-7. Li W H, Zhao C G. An analytical solution for the scattering of plane SV-waves around cylindrical cavity in a fluid-saturated porous media half space. Journal of Earthquake Engineering and Engineering Vibration (in Chinese), 2008, 28(6): 1-7.
[11]
李伟华, 申齐豪, 赵成刚. 饱和土半空间中地下圆形衬砌洞室对平面SV波的散射. 防灾减灾工程学报, 2009, 29(2): 172-178. Li W H, Shen Q H, Zhao C G. An analytical solution for scattering and diffraction of plane-SV-waves by a cylindrical lined cavity in half-space of saturated soil. Journal of Disaster Prevention and Mitigation Engineering (in Chinese), 2009, 29(2): 172-178.
[12]
尤红兵. 层状饱和土半空间中凹陷地形或隧洞对弹性波的散射. 天津: 天津大学, 2005. You H B. Elastic wave scattering by a canyon or tunnel in layered saturated half space(in Chinese). Tianjin: Tianjin University, 2005.
[13]
周香莲, 周光明, 王建华. 饱和土中圆形衬砌结构对弹性波的散射. 岩石力学与工程学报, 2005, 24(9): 1572-1576. Zhou X L, Zhou G M, Wang J H. Scattering of elastic wave by circular cavity with lining in saturated soil. Chinese Journal of Rock Mechanics and Engineering (in Chinese), 2005, 24(9): 1572-1576.
[14]
徐平, 夏唐代, 韩同春. 饱和弹性土体中圆柱壳体对弹性波的散射. 地震学报, 2006, 28(2): 183-189. Xu P, Xia T D, Han T C. Scattering of elastic wave by a cylindrical shell embedded in saturated soils. Acta Seismologica Sinica (in Chinese), 2006, 28(2): 183-189.
[15]
王建华, 姜领发, 周香莲. 稳态P波对半无限饱和土中的圆形孔洞的散射. 南昌工程学院学报, 2005, 24(1): 8-19. Wang J H, Jiang L F, Zhou X L. Scattering of steady P-wave around a circular cavity in half space saturated soil. Journal of Nanchang Institute of Technology (in Chinese), 2005, 24(1): 8-19.
[16]
Gatmiri B, Eslami H. Scattering of Harmonic waves by a circular cavity in a porous medium: Complex functions theory approac. International Journal of Geomechanics, 2007, 7(5): 371-381.
[17]
Karinski Y S, Shershnev V V, Yankelevsky D Z. Analytical solution of the harmonic waves diffraction by a cylindrical lined cavity in poroelastic saturated medium. International Journal for Numerical and Analytical Methods in Geomechanics, 2007, 31(5): 667-689.
[18]
Hasheminejad S M, Kazemirad S. Dynamic response of an eccentrically lined circular tunnel in poroelastic soil under seismic excitation. Soil Dynamics and Earthquake Engineering,2008, 28(4): 277-292.
[19]
丁光亚, 蔡袁强, 徐长节. 半空间饱和土中圆形壳结构对平 面P波的散射. 工程力学, 2008, 25(12): 35-41. Ding G Y, Cai Y Q, Xu Z J. Scattering of P waves by a cylindrical shell in a saturated half-space. Engineering Mechanics (in Chinese), 2008, 25(12): 35-41.
[20]
姜领发, 陈善雄, 于忠久. 饱和土中任意形状衬砌对稳态压缩波的散射. 岩土力学, 2009, 30(10): 3063-3070. Jiang L F, Chen S X, Yu Z J. Scattering around a liner of arbitrary shape in saturated soil under dilatational waves. Rock and Soil Mechanics (in Chinese), 2009, 30(10): 3063-3070.
[21]
Schanz M. Poroelastodynamics: Linear models, analytical solutions, and numerical methods. Applied Mechanics Reviews, 2009, 62(3): 030803, doi: 10.1115/1.3090831.
[22]
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. 固体力学学报, 2009, 30(5): 481-488. Gao M, Gao G Y, Wang Y, et al. A solution on the internal source problem of a cylindrical cavity cosidering the dynamic interaction between lining and saturated soil. Chinese Journal of Solid Mechanics (in Chinese), 2009, 30(5): 481-488.
[23]
Hajra S, Mukhopadhyay A. Reflection and refraction of seismic waves incident obliquely at the boundary of a liquid-saturated porous solid. Bulletin of the Seismological Society of America, 1982, 72(5): 1509-1533.
