Bearing and uplift capacities of under-reamed piles in soft clay underlaid by stiff clay using lower-bound finite element limit analysis

Mantu MAJUMDER, Debarghya CHAKRABORTY

PDF(3134 KB)
PDF(3134 KB)
Front. Struct. Civ. Eng. ›› 2021, Vol. 15 ›› Issue (2) : 537-551. DOI: 10.1007/s11709-021-0708-x
RESEARCH ARTICLE

Bearing and uplift capacities of under-reamed piles in soft clay underlaid by stiff clay using lower-bound finite element limit analysis

Author information +
History +

Abstract

Ensuring a safe foundation design in soft clay is always a challenging task to engineers. In the present study, the effectiveness of under-reamed piles in soft clay underlaid by stiff clay is numerically studied using the lower-bound finite element limit analysis (LB FELA). The bearing and uplift capacities of under-reamed piles are estimated through non-dimensional factors Ncul and Fcul, respectively. These factors increased remarkably and marginally compared to Ncul and Fcul of the piles without bulbs when the bulb is placed in stiff and soft clay, respectively. For a given ratio of undrained cohesion of stiff to soft clay (c2/c1), the factors Ncul and Fcul moderately increased with the increase in the length-to-shaft-diameter ratio (Lu/D) and adhesion factors in soft clay (αs1) and stiff clay (αs2). The variation of radial stress along the pile–soil interface, distribution of axial force in the under-reamed piles, and state of plastic shear failure in the soil are also studied under axial compression and tension. The results of this study are expected to be useful for the estimation of the bearing and uplift capacities of under-reamed piles in uniform clay and soft clay underlaid by stiff clay.

Graphical abstract

Keywords

bearing capacity / uplift capacity / under-reamed pile / clay / limit analysis

Cite this article

Download citation ▾
Mantu MAJUMDER, Debarghya CHAKRABORTY. Bearing and uplift capacities of under-reamed piles in soft clay underlaid by stiff clay using lower-bound finite element limit analysis. Front. Struct. Civ. Eng., 2021, 15(2): 537‒551 https://doi.org/10.1007/s11709-021-0708-x

References

[1]
Meyerhof G G. Some recent research on the bearing capacity of foundations. Canadian Geotechnical Journal, 1963, 1(1): 16–26
CrossRef Google scholar
[2]
Coyle H M, Reese L C. Load transfer for axially loaded piles in clay. Journal of the Soil Mechanics and Foundations Division, 1966, 92(2): 1–26
[3]
Vesic A S. A Study of Bearing Capacity of Deep Foundations. Final Report, Project B-189. Atlanta: Georgia Institute of Technology, 1967
[4]
Poulos H G. The influence of shaft length on pile load capacity in clays. Geotechnique, 1982, 32(2): 145–148
CrossRef Google scholar
[5]
Zhou H, Chen Z. Analysis of effect of different construction methods of piles on the end effect on skin friction of piles. Frontiers of Architecture and Civil Engineering in China, 2007, 1(4): 458–463
CrossRef Google scholar
[6]
Khatri V N, Kumar J. Bearing capacity factor Nc under φ = 0 condition for piles in clays. International Journal for Numerical and Analytical Methods in Geomechanics, 2009, 33(9): 1203–1225
CrossRef Google scholar
[7]
Chakraborty D, Kumar J. Bearing capacity of piles in soft clay underlaid by cohesive frictional soil. International Journal of Geomechanics, 2013, 13(3): 311–317
CrossRef Google scholar
[8]
Ismail A. ANN-based empirical modelling of pile behaviour under static compressive loading. Frontiers of Structural and Civil Engineering, 2018, 12(4): 594–608
CrossRef Google scholar
[9]
Meyerhof G G, Adams J I. The ultimate uplift capacity of foundations. Canadian Geotechnical Journal, 1968, 5(4): 225–244
CrossRef Google scholar
[10]
Das B M. A procedure for estimation of ultimate uplift capacity of foundations in clay. Soil and Foundation, 1980, 20(1): 77–82
CrossRef Google scholar
[11]
Das B M, Seeley G R. Uplift capacity of pipe piles in saturated clay. Soil and Foundation, 1982, 22(1): 91–94
CrossRef Google scholar
[12]
Shin E C, Das B M, Puri V K, Yen S C, Cook E E. Ultimate uplift capacity of model rigid metal piles in clay. Geotechnical and Geological Engineering, 1993, 11(3): 203–215
CrossRef Google scholar
[13]
Veeresh C, Rao S N. Vertical pullout capacity of model batter anchor piles in marine clays. Marine Georesources and Geotechnology, 1996, 14(3): 205–215
CrossRef Google scholar
[14]
Khatri V N, Kumar J. Uplift capacity of axially loaded piles in clays. International Journal of Geomechanics, 2011, 11(1): 23–28
CrossRef Google scholar
[15]
Cooke R W, Whitaker T. Experiments on model piles with enlarged bases. Geotechnique, 1961, 11(1): 1–13
CrossRef Google scholar
[16]
Mohan D, Murthy V N S, Jain G S. Design and construction of multi-under-reamed piles. In: Proceedings of the 7th International Conference on Soil Mechanics and Foundation Engineering. Mexico, 1969, 183–186
[17]
Martin R E, DeStephen R. Large diameter double under-reamed drilled shafts. Journal of Geotechnical Engineering, 1983, 109(8): 1082–1098
CrossRef Google scholar
[18]
Prakash S, Sharma H D. Pile Foundations in Engineering Practice. New York: Wiley-Interscience, 1990
[19]
Peter J A, Lakshmanan N, Devadas Manoharan P. Investigations on the static behavior of self-compacting concrete under-reamed piles. Journal of Materials in Civil Engineering, 2006, 18(3): 408–414
CrossRef Google scholar
[20]
Shrivastava N, Bhatia N. Ultimate bearing capacity of under-reamed pile-finite element approach. In: The 12th International Conference of International Association for Computer Methods and Advances in Geomechanics (IACMAG). Goa, India, 2008, 1–6
[21]
Kurian N P, Srilakshmi G. Studies on the geometrical features of under-reamed piles by the finite element method. Journal of Karunya University, 2010, 2(1): 1–14
[22]
Watanabe K, Sei H, Nishiyama T, Ishii Y. Static axial reciprocal load test of cast-in-place nodular concrete pile and nodular diaphragm wall. Geotechnical Engineering Journal of the SEAGS & AGSSEA, 2011, 42(2): 11–19
[23]
Kong G Q, Yang Q, Liu H L, Liang R Y. Numerical study of a new belled wedge pile type under different loading modes. European Journal of Environmental and Civil Engineering, 2013, 17(sup1): s65–82
[24]
Farokhi A S, Alielahi H, Mardani Z. Optimizing the performance of under-reamed piles in clay using numerical method. Electronic Journal of Geotechnical Engineering, 2014, 19: 1507–1520
[25]
Vali R, Mehrinejad Khotbehsara E, Saberian M, Li J, Mehrinejad M, Jahandari S. A three-dimensional numerical comparison of bearing capacity and settlement of tapered and under-reamed piles. International Journal of Geotechnical Engineering, 2019, 13(3): 236–248
CrossRef Google scholar
[26]
Kumar A, Khatri V N, Gupta S K. Effect of linearly increasing cohesion on the compression and uplift capacity of the under-reamed pile in clay. SN Applied Sciences, 2020, 2(2): 315
CrossRef Google scholar
[27]
Golait Y S, Padade A H, Cherian T. Prediction of quantitative response of under-reamed anchor piles in soft clay using laboratory model study. Journal of Testing and Evaluation, 2017, 46(2): 507–522
[28]
Khatri V N, Kumar A, Gupta S K, Dutta R K, Gnananandarao T. Numerical study on the uplift capacity of under-reamed piles in clay with linearly increasing cohesion. International Journal of Geotechnical Engineering, 2019 (in press)
CrossRef Google scholar
[29]
Zienkiewicz O C, Taylor R L, Nithiarasu P, Zhu J Z. The Finite Element Method. London: McGraw-Hill, 1977
[30]
Hughes T J R. The Finite Element Method: Linear Static and Dynamic Finite Element Analysis. Mineola, NY: Dover Publications, 2000
[31]
Rabczuk T, Belytschko T. Cracking particles: A simplified meshfree method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering, 2004, 61(13): 2316–2343
CrossRef Google scholar
[32]
Rabczuk T, Zi G, Bordas S, Nguyen-Xuan H. A simple and robust three-dimensional cracking-particle method without enrichment. Computer Methods in Applied Mechanics and Engineering, 2010, 199(37-40): 2437–2455
CrossRef Google scholar
[33]
Nguyen V P, Anitescu C, Bordas S P, Rabczuk T. Isogeometric analysis: An overview and computer implementation aspects. Mathematics and Computers in Simulation, 2015, 117: 89–116
CrossRef Google scholar
[34]
Hughes T J, Sangalli G, Tani M. Isogeometric Analysis: Mathematical and Implementational Aspects, with Applications. Insplines and PDEs: From Approximation Theory to Numerical Linear Algebra. Cham: Springer, 2018, 237–315
[35]
Anitescu C, Atroshchenko E, Alajlan N, Rabczuk T. Artificial neural network methods for the solution of second order boundary value problems. Computers, Materials & Continua, 2019, 59(1): 345–359
CrossRef Google scholar
[36]
Samaniego E, Anitescu C, Goswami S, Nguyen-Thanh V M, Guo H, Hamdia K, Zhuang X, Rabczuk T. An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications. Computer Methods in Applied Mechanics and Engineering, 2020, 362: 112790
CrossRef Google scholar
[37]
Rabczuk T, Ren H, Zhuang X. A nonlocal operator method for partial differential equations with application to electromagnetic waveguide problem. Computers. Materials and Continua, 2019, 59(1): 31–55
CrossRef Google scholar
[38]
IS 2911 Part III. Indian Standard Code of Practice for Design and Construction of Pile Foundations (Part–III): Under-Reamed Piles. 1st ed. New Delhi: Bureau of Indian Standards, 1980
[39]
Chen W F, Liu X L. Limit Analysis in Soil Mechanics. Amsterdam: Elsevier Science, 1990
[40]
Makrodimopoulos A, Martin C M. Lower bound limit analysis of cohesive-frictional materials using second-order cone programming. International Journal for Numerical Methods in Engineering, 2006, 66(4): 604–634
CrossRef Google scholar
[41]
Keawsawasvong S, Ukritchon B. Undrained stability of an active planar trapdoor in non-homogeneous clays with a linear increase of strength with depth. Computers and Geotechnics, 2017, 81: 284–293
CrossRef Google scholar
[42]
Bottero A, Negre R, Pastor J, Turgeman S. Finite element method and limit analysis theory for soil mechanics problems. Computer Methods in Applied Mechanics and Engineering, 1980, 22(1): 131–149
CrossRef Google scholar
[43]
Sloan S W. Lower bound limit analysis using finite elements and linear programming. International Journal for Numerical and Analytical Methods in Geomechanics, 1988, 12(1): 61–77
CrossRef Google scholar
[44]
Griffiths D V. Elasto-plastic analyses of deep foundations in cohesive soil. International Journal for Numerical and Analytical Methods in Geomechanics, 1982, 6(2): 211–218
CrossRef Google scholar
[45]
NAVFAC DM (Naval Facilities Engineering Command Design Manual) 7.2. Foundation and Earth Structures. Alexandria: U.S. Department of the Navy, 1984
[46]
Tomlinson M J. Pile Design and Construction Practice. 4th ed. London: E and F N Spon, 1994
[47]
Salgado R, Lyamin A V, Sloan S W, Yu H S. Two-and three-dimensional bearing capacity of foundations in clay. Geotechnique, 2004, 54(5): 297–306
CrossRef Google scholar
[48]
Martin C M, Randolph M F. Applications of the lower and upper bound theorems of plasticity to collapse of circular foundations. In: Proceedings of the 10th International Conference on Computer Methods and Advances in Geomechanics. Abingdon: Taylor and Francis, 2001, 2: 1417–1428
[49]
Nguyen V Q. Numerical modelling of the undrained vertical bearing capacity of shallow foundations. Thesis for the Master’s Degree. Queensland: University of Southern Queensland, 2008
[50]
Clark J I, Meyerhof G G. The behavior of piles driven in clay. An investigation of soil stress and pore water pressure as related to soil properties. Canadian Geotechnical Journal, 1972, 9(4): 351–373
CrossRef Google scholar
[51]
Randolph M F, Carter J P, Wroth C P. Driven piles in clay-the effects of installation and subsequent consolidation. Geotechnique, 1979, 29(4): 361–393
CrossRef Google scholar
[52]
Zhou S, Zhuang X, Rabczuk T. A phase-field modeling approach of fracture propagation in poroelastic media. Engineering Geology, 2018, 240: 189–203
CrossRef Google scholar
[53]
Zhou S, Rabczuk T, Zhuang X. Phase field modeling of quasi-static and dynamic crack propagation: COMSOL implementation and case studies. Advances in Engineering Software, 2018, 122: 31–49
CrossRef Google scholar
[54]
Zhou S, Zhuang X, Zhu H, Rabczuk T. Phase field modelling of crack propagation, branching and coalescence in rocks. Theoretical and Applied Fracture Mechanics, 2018, 96: 174–192
CrossRef Google scholar
[55]
Zhou S, Zhuang X, Rabczuk T. Phase-field modeling of fluid-driven dynamic cracking in porous media. Computer Methods in Applied Mechanics and Engineering, 2019, 350: 169–198
CrossRef Google scholar
[56]
Zhou S, Zhuang X, Rabczuk T. Phase field modeling of brittle compressive-shear fractures in rock-like materials: A new driving force and a hybrid formulation. Computer Methods in Applied Mechanics and Engineering, 2019, 355: 729–752
CrossRef Google scholar
[57]
Zhuang X, Zhou S, Sheng M, Li G. On the hydraulic fracturing in naturally-layered porous media using the phase field method. Engineering Geology, 2020, 266: 105306
CrossRef Google scholar

Acknowledgements

The authors gratefully acknowledge the financial support from ISIRD, SRIC, Indian Institute of Technology Kharagpur (No. IIT/SRIC/CE/PPL/2015-16/108).

RIGHTS & PERMISSIONS

2021 Higher Education Press
AI Summary AI Mindmap
PDF(3134 KB)

Accesses

Citations

Detail

Sections
Recommended

/