Geomechanics and Engineering

  • 제11권1호
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  • Pages.59-76
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  • 2016
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  • 2005-307X(pISSN)
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  • 2092-6219(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Numerical simulations of deep penetration problems using the material point method

  • Lorenzo, R. (Department of Civil Engineering, Federal University of Tocantins) ;
  • da Cunha, Renato P. (Department of Civil and Environmental Engineering, University of Brasilia) ;
  • Cordao Neto, Manoel P. (Department of Civil and Environmental Engineering, University of Brasilia) ;
  • Nairn, John A. (Wood Science and Engineering, Oregon State University)
  • 투고 : 2014.11.15
  • 심사 : 2016.03.17
  • 발행 : 2016.07.25
⟨ 이전 논문 다음 논문 ⟩

초록

Penetration problems in geomechanics are common. Usually the soil is heavily disturbed around the penetrating bodies and large deformations and distortions can occur. The simulation of the installation of displacement piles is a good example of the interest of these types of problems for geomechanics. In this paper the Material Point Method is used to overcome the difficulties associated with the simulations of problems involving large deformation and full displacement type penetration. Recent modifications of the Material Point Method known as Generalized Interpolation Material Point and the Convected Particle Domain Interpolation are also used and evaluated in some of the examples. Herein a footing submitted to large settlements is presented and simulated, together with the processes associated to a driven pile under undrained conditions. The displacements of the soil surrounding the pile are compared with those obtained by the Small Strain Path Method. In addition, the Modified Cam Clay model is implemented in a code of MPM and used to simulate the process of driving a pile in dry sand. Good and rather encouraging agreement is found between compared data.

키워드

과제정보

연구 과제 주관 기관 : National Brazilian Agency CNPq, University of Brasilia

참고문헌

  1. Al-Kafaji, I.K.J. (2013), "Formulation of a dynamic Material Point Method (MPM) for geotechnical problems", Ph.D. Thesis; University of Stuttgart, Germany.
  2. Arroyo, M., Butlanska, J., Gens, A., Calvetti, F. and Jamiolkowski, M. (2011), "Cone penetration tests in a virtual calibration chamber", Geotechnique, 61(6), 525-531. https://doi.org/10.1680/geot.9.P.067
  3. Baligh, M.M. (1986), "Strain path method", J. Geotech. Eng., 111(9), 1108-1136. https://doi.org/10.1061/(ASCE)0733-9410(1985)111:9(1108)
  4. Bardenhagen, S.G. and Kober, E.M. (2004), "The generalized interpolation material point method", Tech. Sci. Press, 5(6), 477-495.
  5. Bardenhagen, S.G., Brackbill, J.U. and Sulsky, D. (2000), "The material-point method for granular materials", Comput. Method Appl. Mech. Eng., 187(3-4), 529-541. https://doi.org/10.1016/S0045-7825(99)00338-2
  6. Bardenhagen, S.G., Guilkey, J.E., Roessig, K.M., Brackbill, J.U. and Witzel, W.M. (2001), "An improved contact algorithm for the material point method and application to stress propagation in granular material", Comput. Model. Eng. Sci., 2(4), 509-522.
  7. Bardenhagen, S.G., Nairn, J.A. and Lu, H. (2011), "Simulation of dynamic fracture with the material point method using a mixed j-integral and cohesive law approach", Int. J. Fract., 170(1), 49-66. https://doi.org/10.1007/s10704-011-9602-1
  8. Beuth, L. (2012), "Formulation and application of a Quasi-Static material point method", Ph.D. Thesis; Univertisty of Stuttgart, Germany.
  9. Beuth, L., Benz, T. and Vermeer, P.A. (2007), "Large deformation analysis using a quasi-static material point method", Proceedings of the 11th International Conference on Computer Methods in Mechanics, Lodz-Spala, Poland, June.
  10. Campos, J.L.E., Vargas, E.A., Bernardes, G., Ibañez, J.P. and Velloso, R.Q. (2005), "Numerical experiments with discrete elements to simulate pile penetration in granular soils", Proceedings of CCVI Iberian Latin-American Congress on Computational Methods in Engineering-CILANCE, Espirito Santo, Brazil, July.
  11. Carter, J.P., Randolph, M.F. and Wroth, C.P. (1979), "Stress and pore pressure changes in clay during and after the expansion of a cylindrical", Int. J. Numer. Anal. Methods Geomech., 3, 305-322. https://doi.org/10.1002/nag.1610030402
  12. Di, Y., Yang, J. and Sato, T. (2007), "An operator-split ALE model for large deformation analysis of geomaterials", Int. J. Numer. Anal. Methods Geomech, 31(12), 1375-1399. https://doi.org/10.1002/nag.601
  13. Dijkstra, J., Broere, W. and Heeres, O.M. (2011), "Numerical simulation of pile installation", Comput Geotech., 38(5), 612-622. https://doi.org/10.1016/j.compgeo.2011.04.004
  14. Gadala, M.S. and Wang, J. (2000), "Computational implementation of stress integration in FE analysis of elasto-plastic large deformation problems", Finite Elem. Anal. Design, 35(4), 379-396. https://doi.org/10.1016/S0168-874X(00)00003-2
  15. Grabe, J., Henke, S. and Schumann, B. (2009), "Numerical simulation of pile driving in the passive earth pressure zone of excavation support walls", Bautechnik, 86(S1), 40-45. https://doi.org/10.1002/bate.200910040
  16. Gue, S.S. (1984), "Ground heave around driven piles in clay", Ph.D. Thesis; University of Oxford, UK.
  17. Henke, S. (2010), "Influence of pile installation on adjacent structures", Int. J. Numer. Anal. Method. Geomech., 34(11), 1191-1210. https://doi.org/10.1002/nag.859
  18. Jardine, R.J., Chow, F., Overy, R. and Standing, J. (2005), ICP Design Methods for Driven Piles in Sands and Clays, Thomas Telford Publishing, London, UK.
  19. Jardine, R.J., Zhu, B.T., Foray, P.Y. and Yang, Z.X. (2013a), "Interpretation of stress measurements made around closed-ended displacement piles in sand, Geotechnique, 63(8), 613-627. https://doi.org/10.1680/geot.9.P.138
  20. Jardine, R.J., Zhu, B.T., Foray, P.Y. and Yang, Z.X. (2013b), "Measurement of stresses around closed-ended displacement piles in sand", Geotechnique, 63(8), 1-17. https://doi.org/10.1680/geot.9.P.137
  21. Lehane, B.M. and Gill, D.R. (2004), "Displacement fields induced by penetrometer installation in an artificial soil", Int. J. Phy. Modelling Geotech., 4(1), 25-36. https://doi.org/10.1680/ijpmg.2004.040103
  22. Lehane, B.M. and White, D.J. (2005), "Lateral stress changes and shaft friction for model displacement piles in sand", Can Geotech J., 42(4), 1039-1052. https://doi.org/10.1139/t05-023
  23. Lemiale, V., Nairn, J.A. and Hurmane, A. (2010), "Material point method simulation of equal channel angular pressing involving large plastic strain and contact through sharp corners", Tech Sci. Press, 70(1), 41-66.
  24. Llano-Serna, M.A. (2012), "Applications of the Material Point Method (MPM) to geotechnical problems", M.Sc. Dissertation; University of Brasilia, Brasilia, Brazil.
  25. Lorenzo, R., Cunha, R.P. and Cordao Neto, M.P. (2013), "Materal point method for geotechnical problems involving large deformation", Proceedings of III International Conference in Particles-Based Methods, Sttutgart, Germany, September.
  26. Nairn, J.A. (2003), "Material point method calculations with explicit cracks", Comput. Model. Eng. Sci., 4(6), 649-663.
  27. Nairn, J.A. (2006), "Numerical simulations of transverse compression and densification in wood", Wood Fiber Sci., 38(4), 576-591.
  28. Nairn, J.A. and Guilkey, E. (2015), "Axisymmetric form of the generalized interpolation material point method", Int. J. Numer. Methods Eng., 101(2), 127-147. https://doi.org/10.1002/nme.4792
  29. Nazem, M., Sheng, D. and Carter, J.P. (2006), "Stress integration and mesh refinement for large deformation in geomechanics", Int. J. Numer. Methods Eng., 65(7), 1002-1027. https://doi.org/10.1002/nme.1470
  30. Nazem, M., Carter, J.P., Sheng, D. and Sloan, S.W. (2009), "Alternative stress-integration schemes for large-deformation problems of solid mechanics", Finite Elem. Anal. Design, 45(12), 934-943. https://doi.org/10.1016/j.finel.2009.09.006
  31. Potts, D.M. and Gens, A. (1985), "A critical assessment of methods of correcting for drift from the yield surface in elasto-plastic finite element analysis", Int. J. Numer. Anal. Methods Geomech, 9, 149-159. https://doi.org/10.1002/nag.1610090204
  32. Poulos, H.G. and Davis, E.H. (1974), Elastic Solutions for Soils and Rocks, John Wiley & Sons, Sydney, Australia.
  33. Randolph, M.F. (2003), "Science and empiricism in pile foundation design", Geotechnique, 53(10), 847-875. https://doi.org/10.1680/geot.2003.53.10.847
  34. Randolph, M.F., Carter, J.P. and Wroth, C.P. (1979), "Driven piles in clay-the effects of installation and subsequent effects consolidation", Geotechnique, 29(4), 361-393. https://doi.org/10.1680/geot.1979.29.4.361
  35. Sadeghirad, A., Brannon, R.M. and Burghardt, J. (2011), "A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations", Int. J. Numer. Method. Eng., 86(12), 1435-1456. https://doi.org/10.1002/nme.3110
  36. Sagaseta, C. and Whittle, A.J. (2001), "Prediction of ground movements due to pile driving in clay", J. Geotech. and Geoenviron. Eng., 127(1), 55-66. https://doi.org/10.1061/(ASCE)1090-0241(2001)127:1(55)
  37. Sagaseta, C., Whittle, A.J. and Santagata, M. (1997), "Deformation analysis of shallow penetration", Int. J. Numer. Anal. Methods Geomech., 21(10), 687-719. https://doi.org/10.1002/(SICI)1096-9853(199710)21:10<687::AID-NAG897>3.0.CO;2-3
  38. Sheng, D., Nazem, M. and Carter, J.P. (2009), "Some computational aspects for solving deep penetration problems in geomechanics", Computat. Mech., 44(4), 549-561. http://doi.org/10.1007/s00466-009-0391-6
  39. Shin, K.W. (2009), "Numerical simulation of landslides and debris flows using an enhanced material point method", Ph.D. Dissertation; University of Washington, Washington, USA.
  40. Sulsky, D., Zhou, S.-J. and Schreyer, H.L. (1995), "Application of a particle-in-cell method to solid mechanics", Comput. Phys. Commun., 87(1-2), 236-252. https://doi.org/10.1016/0010-4655(94)00170-7
  41. Tsuha, C.H.C., Foray, P.Y., Jardine, R.J., Yang, Z.X., Silva, M. and Rimoy, S. (2012), "Behaviour of displcament piles i sand under cyclic axial loading", Soil. Found., 52(3), 393-410. https://doi.org/10.1016/j.sandf.2012.05.002
  42. Wang, D., Bienen, B., Nazem, M., Tian, Y., Zheng, J., Pucker, T. and Randolph, M.F. (2015), "Large deformation finite element analyses in geotechnical engineering", Comput Geotech., 65, 104-114. https://doi.org/10.1016/j.compgeo.2014.12.005
  43. Wieckowski, Z. (2004), "The material point method in large strain engineering problems", Comput. Method. Appl. Mech. Eng., 193(34-41), 4417-4438. https://doi.org/10.1016/j.cma.2004.01.035
  44. Xu, X., Liu, H. and Lehane, B.M. (2006), "Pipe pile installation effects in soft clay", Geotech. Eng., 159(4), 285-296. https://doi.org/10.1680/geng.2006.159.4.285
  45. Yang, J., Tham, L.G., Lee, P.K.K., Chan, S.T. and Yu, F. (2006), "Behaviour of jacked and driven piles in sandy soil", Geotechnique, 56(4), 245-259. https://doi.org/10.1680/geot.2006.56.4.245
  46. Yang, Z.X., Jardine, R.J., Zhu, B.T., Foray, P. and Tsuha, C.H.C. (2010), "Sand grain crushing and interface shearing during displacement pile installation in sand", Geotechnique, 60(6), 469-482. https://doi.org/10.1680/geot.2010.60.6.469
  47. Zhang, L.M. and Wang, H. (2009), "Field study of construction effects in jacked and driven steel H-piles", Geotechnique, 59(1), 63-69. https://doi.org/10.1680/geot.2008.T.029
  48. Zhang, Z. and Wang, Y. (2014), "Examining setup mechanisms of driven piles in sand using laboratory model pile tests", J. Geotech. Geoenviron. Eng., 141(3), 1-12.

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