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Numerical simulations of deep penetration problems using the material point method
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  • Journal title : Geomechanics and Engineering
  • Volume 11, Issue 1,  2016, pp.59-76
  • Publisher : Techno-Press
  • DOI : 10.12989/gae.2016.11.1.059
 Title & Authors
Numerical simulations of deep penetration problems using the material point method
Lorenzo, R.; da Cunha, Renato P.; Cordao Neto, Manoel P.; Nairn, John A.;
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.
MPM;penetration problems;pile installation effects;large deformation;MCC;SSPM;
 Cited by
Al-Kafaji, I.K.J. (2013), "Formulation of a dynamic Material Point Method (MPM) for geotechnical problems", Ph.D. Thesis; University of Stuttgart, Germany.

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. crossref(new window)

Baligh, M.M. (1986), "Strain path method", J. Geotech. Eng., 111(9), 1108-1136.

Bardenhagen, S.G. and Kober, E.M. (2004), "The generalized interpolation material point method", Tech. Sci. Press, 5(6), 477-495.

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. crossref(new window)

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.

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. crossref(new window)

Beuth, L. (2012), "Formulation and application of a Quasi-Static material point method", Ph.D. Thesis; Univertisty of Stuttgart, Germany.

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.

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.

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. crossref(new window)

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. crossref(new window)

Dijkstra, J., Broere, W. and Heeres, O.M. (2011), "Numerical simulation of pile installation", Comput Geotech., 38(5), 612-622. crossref(new window)

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. crossref(new window)

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. crossref(new window)

Gue, S.S. (1984), "Ground heave around driven piles in clay", Ph.D. Thesis; University of Oxford, UK.

Henke, S. (2010), "Influence of pile installation on adjacent structures", Int. J. Numer. Anal. Method. Geomech., 34(11), 1191-1210.

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.

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. crossref(new window)

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. crossref(new window)

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. crossref(new window)

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. crossref(new window)

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.

Llano-Serna, M.A. (2012), "Applications of the Material Point Method (MPM) to geotechnical problems", M.Sc. Dissertation; University of Brasilia, Brasilia, Brazil.

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.

Nairn, J.A. (2003), "Material point method calculations with explicit cracks", Comput. Model. Eng. Sci., 4(6), 649-663.

Nairn, J.A. (2006), "Numerical simulations of transverse compression and densification in wood", Wood Fiber Sci., 38(4), 576-591.

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. crossref(new window)

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. crossref(new window)

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. crossref(new window)

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. crossref(new window)

Poulos, H.G. and Davis, E.H. (1974), Elastic Solutions for Soils and Rocks, John Wiley & Sons, Sydney, Australia.

Randolph, M.F. (2003), "Science and empiricism in pile foundation design", Geotechnique, 53(10), 847-875. crossref(new window)

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. crossref(new window)

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. crossref(new window)

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. crossref(new window)

Sagaseta, C., Whittle, A.J. and Santagata, M. (1997), "Deformation analysis of shallow penetration", Int. J. Numer. Anal. Methods Geomech., 21(10), 687-719. crossref(new window)

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. crossref(new window)

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.

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. crossref(new window)

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. crossref(new window)

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. crossref(new window)

Wieckowski, Z. (2004), "The material point method in large strain engineering problems", Comput. Method. Appl. Mech. Eng., 193(34-41), 4417-4438. crossref(new window)

Xu, X., Liu, H. and Lehane, B.M. (2006), "Pipe pile installation effects in soft clay", Geotech. Eng., 159(4), 285-296. crossref(new window)

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. crossref(new window)

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. crossref(new window)

Zhang, L.M. and Wang, H. (2009), "Field study of construction effects in jacked and driven steel H-piles", Geotechnique, 59(1), 63-69. crossref(new window)

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.