Citation: | WANG Peng, SHI Li, ZHANG Bing-qin, GU Chuan. Bending consolidation of an infinite beam of finite width resting on a saturated poroelastic halfspace[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(6): 1022-1029. DOI: 10.11779/CJGE201706007 |
[1] |
DIETERMAN H A, METRIKINE A. The equivalent stiffness of a halfspace interacting with a beam: critical velocities of a moving load along the beam[J]. European Journal of mechanics A/Solids, 1996, 15(1): 67-90.
|
[2] |
DIETERMAN HA, METRIKINE A. Steady-state displacement of a beam on an elastic halfspace due to a uniformly moving constant load[J]. European Journal of Mechanics A/Solids, 1997, 16(2): 295-306.
|
[3] |
KONONOV A V, WOLFERT R A M. Load motion along a beam on a viscoelastic halfspace[J]. European Journal of Mechanics A/Solids, 2000, 19: 361-371.
|
[4] |
TAKEMIYA H. Simulation of track-ground vibrations due to a high-speed train: the case of X-2000 at Ledsgard[J]. Journal of Sound and Vibration, 2003, 261: 503-526.
|
[5] |
XU B, LU J, WANG J H. Dynamic response of an infinite beam overlying a layered poroelastic halfspace to moving loads[J]. Journal of Sound and Vibration, 2007, 306: 91-110.
|
[6] |
AUERSCH L. Dynamic interaction of various beams with the underlying soil-finite and infinite, halfspace and Winkler models[J]. European Journal of Mechanics A/Solids, 2008, 27: 933-958.
|
[7] |
LOMBAERT G, DEGRANDE G, CLOUTEAU D. Numerical modelling of free field traffic-induced vibrations[J]. Soil Dynamic and Earthquake Engineering, 2000, 19: 473-488.
|
[8] |
KARLSTROM A, BOSTROM A. An analytical model for train-induced ground vibrations from railways[J]. Journal of Sound and Vibration, 2006, 292(12): 221-241.
|
[9] |
BIOT M A. Bending of an infinite beam on an elastic foundation[J]. Journal of Applied Physics, 1937, 4: A1-A7.
|
[10] |
RVACHEV V L. On the bending of an infinite beam on an elastic halfspace[J]. Journal of Applied Mathematics and Mechanics, 1958, 22: 984-988.
|
[11] |
LEKKERKERKER J G. Bending of an infinite beam resting on an elastic halfspace[J]. Physica Status Solid, 1960, 63(1): 199-201.
|
[12] |
SELVADURAI A P S. The flexure of an infinite strip of finite width embedded in an isotropic elastic medium of infinite extent[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1984, 8: 157-166.
|
[13] |
SELVADURAI A P S. Elastic analysis of soil-foundation interaction, development in geotechnical engineering[M]. Amsterdam: Elsevier, 1979.
|
[14] |
ALEYNIKOV S M. Spatial contact problems in geotechnics[M]. Berlin: Springer-Verlag, 2011.
|
[15] |
STEENBERGEN M, METRIKINE A. The effect of the interface conditions on the dynamic response of a beam on a half-space to a moving load[J]. European Journal of Mechanics A/Solids, 2007, 26: 33-54.
|
[16] |
BIOT M A. General theory of three-dimensional consolidation[J]. Journal of Applied Physics, 1941(12): 155-164.
|
[17] |
BIOT M A. Theory of propagation of elastic waves in a fluid-saturated porous solid: I low-frequency range[J]. Journal of the Acoustical Society of America, 1956, 28(2): 168-178.
|
[18] |
黎剑华, 徐 斌, 刘优平, 等. 简谐移动荷载作用下饱和土地基无限长梁的动力响应[J]. 中南大学学报(自然科学版), 2010(3): 1116-1123. (LI Jian-hua, XU Bin, LIU You-ping, et al. Dynamic response of an infinite beam overlying a saturated poroelastic soil under harmonic moving loads[J]. Journal of Central South University (Science and Technology), 2010(3): 1116-1123. (in Chinese))
|
[19] |
金 波. 高速荷载下多孔饱和地基的动力响应[J]. 力学季刊, 2004, 25(2): 168-174. (JIN Bo. Dynamic response of a poroelastic halfspace generated by high speed load[J]. Chinese Quarterly of Mechanics, 2004, 25(2): 168-174. (in Chinese))
|
[20] |
蔡袁强, 王 玉, 曹志刚. 移动荷载作用下饱和地基板式轨道动力分析[J]. 振动工程学报, 2011, 24(1): 48-54. (CAI Yuan-qiang, WANG Yu, CAO Zhi-gang. Dynamic analysis of a slab track on the poroelastic soil subjected to moving loads[J]. Journal of Vibration Engineering, 2011, 24(1): 48-54. (in Chinese))
|
[21] |
BIOT M A, CLINGAN F M. Bending settlement of a slab resting on a consolidating foundation[J]. Journal of Applied Physics, 1942, 13(1): 35-40.
|
[22] |
MARVIN E L. Viscoelastic plate on poroelastic foundation[J]. Journal of Engineering Mechanics Division, 1972, 98: 911-928.
|
[23] |
BOOKER J R, SMALL J C. The behavior of an impermeable flexible raft on a deep layer of consolidating soil[J]. International Journal for Numerical Methods in Geomechanics, 1986, 10: 311-327.
|
[24] |
CHIARELLA C, BOOKER J R. Time-settlement behavior of a rigid die resting on a deep clay layer[J]. Quarterly Journal of Mechanics and Applied Mathematics, 1975, 28(3): 317-328.
|
[25] |
YUE Z Q, SELVADURAI A P S. Contact problem for saturated poroelastic solid[J]. Journal of Engineering Mechanics, 1995, 121(4): 502-512.
|
[26] |
YUE Z Q, SELVADURAI A P S. On the mechanics of a rigid disc inclusion embedded in fluid saturated poroelastic medium[J]. International Journal of Engineering Science, 1995, 33(11): 1633-1662.
|
[27] |
CRUMP K S. Numerical inversion of Laplace transforms using a Fourier series approximation[J]. Journal of the Association for Computing Machinery, 1976, 23(1): 89-96.
|
[28] |
DE HOOG F R, KNIGHT J H, STOKES A N. An improved method for numerical inversion of Laplace transforms[J]. SIAM Journal on Scientific Computing, 1982, 3(3): 357-366.
|
[29] |
SNEDDON L N. The use of integral transforms[M]. New York: McGraw-Hill Company, 1972.
|
[30] |
SELVADURAI A P S, YUE Z Q. On the indentation of a poroelastic layer[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1994, 18: 161-175.
|