[1] M′ENARD L, BROISE Y. Theoretical and practical aspects of dynamic consolidation [J]. Geotechnique, 1975,25(1): 3-18. [2] LU Y, TAN Y. Examination of loose saturated sands impacted by a heavy hammer [J]. Environmeantal Earth Sciences, 2012, 66(5): 1557-1567. [3] HWANG J H, TU T Y. Ground vibration due to dynamic compaction [J]. Soil Dynamics and Earthquake Engineering, 2006, 26(5): 337-346. [4] SHENTHAN T, NASHED R, THEVANAYAGAM S,et al. Liquefaction mitigation in silty soils using composite stone columns and dynamic compaction [J].Earthquake Engineering and Engineering Vibration,2004, 3(1): 39-50. [5] NASHED R, THEVANAYAGAM S, MARTIN G R.Simulation of dynamic compaction processes in saturated silty soils [C]//Proceedings of Geo Congress.[s.l.]: ASCE, 2006: 1-6. [6] FENG S J, TAN K, SHUIWH, et al. Densification of desert sands by high energy dynamic compaction [J].Engineering Geology, 2013, 157: 48-54. [7] FENG S J, DU F L, SHI Z M, et al. Field study on the reinforcement of collapsible loess using dynamic compaction [J]. Engineering Geology, 2015, 185: 105-115. [8] CAO Y C, WANG W T. Seabed ground improvement in coastal reclamation area by heavy tamping after rockfilling displacement [J]. Marine Georesources and Geotechnology, 2007, 25(1): 1-14. [9] FENG S J, SHUIWH, GAO L Y, et al. Field studies of the effectiveness of dynamic compaction in coastal reclamation areas [J]. Bulletin of Engineering Geology and the Environment, 2010, 69(1): 129-136. [10] BO M W, NA M Y, ARULRAJAH A, et al. Densification of granular soil by dynamic compaction [J]. Proceeding of the Institution of Civil Engineers: Ground Improvement, 2009, 162(G13): 121-132. [11] HAJIALILUE-BONAB M, REZAEI A H. Physical modelling of low-energy dynamic compaction [J]. International Journal of Physical Modelling in Geotechnics,2009, 9(3): 21-32. [12] LEONARDS G A, CUTTER W A, HOLTZ R D.Dynamic compaction of granular soils [J]. Journal ofGeotechnical Engineering, 1980, 106: 35-44. [13] MAYNE P W, JONES J S, DUMAS J C. Ground responseto dynamic compaction [J]. Journal of GeotechnicalEngineering, 1984, 110(6): 757-74. [14] HEH K S. DC of sand [D]. Brooklyn: Polytechnic University,1990.[15] OSHIMA A, TAKADA N. 1998. Evaluation of compactedarea of heavy tamping by cone point resistance[C]//Proceedings of Centrifuge 98. Tokyo: [s.n.], 1998:813-818. [16] HAJIALILUE-BONAB M, ZARE F S. Investigationon tamping spacing in dynamic compaction usingmodel tests [J]. Proceeding of the Institution of CivilEngineers: Ground Improvement, 2004, 167(G13):219-231. [17] CHOWY K, YONGDM, YONGK Y, et al. Dynamiccompaction analysis [J]. Journal of Geotechnical Engineering,1992, 118(8): 1141-1157. [18] CHOW Y K, YONG D M, YONG K Y, et al. Dynamiccompaction of loose sand deposits [J]. Soils andFoundations, 1992, 32(4): 93-106. [19] CHOW Y K, YONG D M, YONG K Y, et al. Dynamiccompaction of loose Granular soils: Effect ofprint spacing [J]. Journal of Geotechnical Engineering,1994, 120(7): 1115-1133. [20] PORAN C J, RODRIGUEZ J A. Modeling of successiveimpacts in sand [C]//Proceedings of the 8th EngineeringMechanics Conference. Columbus: [s.n.], 1991:1184-1188. [21] PORAN C J, RODRIGUEZ J A. Finite element analysisof impact behavior of sand [J]. Soils Foundations,1992, 32(4): 68-80. [22] GU Q, LEE F H. Ground response to dynamic compactionof dry sand [J]. G′eotechnique, 2002, 52(7):481-493. [23] PAN J L, SELBY A R. Simulation of dynamic compactionof loose granular soils [J]. Advances in EngineeringSoftware, 2002, 33(7): 631-640. [24] THEVANAYAGAM S, NASHED R, MARTIN G R.Dynamic compaction of saturated sands and siltysands: Theory [J]. Proceeding of the Institution of CivilEngineers: Ground Improvement, 2009, 162(G12): 57-68. [25] NASHED R, THEVANAYAGAM S, MARTIN G R.Dynamic compaction of saturated sands and siltysands: Results [J]. Proceeding of the Institution of CivilEngineers: Ground Improvement, 2009, 162(G12): 69-79. [26] NASHED R, THEVANAYAGAM S, MARTIN G R.Dynamic compaction of saturated sands and siltysands: Results [J]. Proceeding of the Institution of CivilEngineers: Ground Improvement, 2009, 162(G12): 81-92. [27] GHANBARI E, HAMIDI A. Improvement parametersin dynamic compaction adjacent to the slopes [J]. Journalof Rock Mechanics and Geotechnical Engineering,2015, 7(2): 233-236. [28] LEE F H, GU Q. Method for estimating dynamic compactioneffect on sand [J]. Journal of Geotechnical andGeo Environmental Engineering, 2004, 130(2): 139-152. [29] PASDARPOURM, GHAZAVI M, TESHNEHLAB M,et al. Optimal design of soil dynamic compaction usinggenetic algorithm and fuzzy system [J]. Soil Dynamicand Earthquake Engineering, 2009, 29(7): 1103-1112. [30] GHASSEMI A, PAK A, SHAHIR H. Validity ofMenard relation in dynamic compaction operations [J].Proceeding of Institution Civil Engineering: GroundImprovement, 2009, 161(1): 37-45. [31] HALLQUIST J O. LS-DYNA theoretical manual version971 [S]. California: Livermore Software TechnologyCorporation, 2006. [32] GHASSEMI A, PAK A, SHAHIR H. A numerical toolfor design of dynamic compaction treatment in dry andmoist sands [J]. Iranian Journal of Science and Technology,Transaction B, Engineering, 2009, 33(B4):313-326. [33] GHASSEMI A, PAK A, SHAHIR H. Numerical studyof the coupled hydro-mechanical effects in dynamiccompaction of saturated granular soils [J]. Computersand Geotechnics, 2010, 37(1/2): 10-24. [34] WANG W, ZHANG L L, CHEN J J, et al. Parameterestimation for coupled hydromechanical simulation ofdynamic compaction based on Pareto multi objectiveoptimization [J]. Shock and Vibration, 2015, 1: 1-15. [35] TONG X L, TUAN C Y. Viscoplastic cap modelfor soils under high strain rate loading [J]. Journalof Geotechnical and Geoenvironmental Engineering,2007, 133(2): 206-214. [36] SANDLER I S, RUBIN D. An algorithm and a modularsubroutine for the cap model [J]. InternationalJournal for Numerical and Analytical Methods in Geomechanics,1979, 3(2): 173-186. [37] SIMO J C, JU J W, PISTER K S, et al. Assessmentof cap model: Consistent return algorithms and ratedependentextension [J]. Journal of Engineering Mechanics,1988, 114(2): 191-218. [38] XIE N G, YE Y, WANG L. Numerical analysis of dynamiccontact during dynamic compaction with largedeformation [J]. Journal of Engineering Mechanics,2013, 139(4): 479-488. [39] MIAO L C, CHEN G, HONG Z S. Application ofdynamic compaction in highway: A case study [J].Geotechnical and Geological Engineering, 2006, 24(1):91-99. [40] KIM Y H, HOSSAIN M S, WANG D. Effect of strainrate and strain softening on embedment depth of atorpedo anchor in clay [J]. Ocean Engineering, 2015,108: 704-715.