Effect of interface adhesion factor on the bearing capacity of strip footing placed on cohesive soil overlying rock mass
Shuvankar DAS, Debarghya CHAKRABORTY
Effect of interface adhesion factor on the bearing capacity of strip footing placed on cohesive soil overlying rock mass
The problem related to bearing capacity of footing either on pure soil or on pure rock mass has been investigated over the years. Currently, no study deals with the bearing capacity of strip footing on a cohesive soil layer overlying rock mass. Therefore, by implementing the lower bound finite element limit analysis in conjunction with the second-order cone programming and the power cone programming, the ultimate bearing capacity of a strip footing located on a cohesive soil overlying rock mass is determined in this study. By considering the different values of interface adhesion factor (αcr) between the cohesive soil and rock mass, the ultimate bearing capacity of strip footing is expressed in terms of influence factor (If) for different values of cohesive soil layer cover ratio (Tcs/B). The failure of cohesive soil is modeled by using Mohr−Coulomb yield criterion, whereas Generalized Hoek−Brown yield criterion is utilized to model the rock mass at failure. The variations ofIf with different magnitudes of αcr are studied by considering the influence of the rock mass strength parameters of beneath rock mass layer. To examine stress distribution at different depths, failure patterns are also plotted.
bearing capacity / soil-rock interface / Hoek−Brown yield criterion / plasticity / limit analysis
[1] |
Prandtl L. The bond strength of plastic building materials and the strength of cutting edges. Journal of Applied Mathematics and Mechanics, 1921, 1( 1): 15– 20
CrossRef
Google scholar
|
[2] |
Meyerhof G G. Some recent research on the bearing capacity of foundations. Canadian Geotechnical Journal, 1963, 1( 1): 16– 26
CrossRef
Google scholar
|
[3] |
Hansen J B. A revised and extended formula for bearing capacity. Bulletin of Danish Geotechnical Institute, 1970, 28
|
[4] |
Griffiths D V. Computation of bearing capacity factors using finite elements. Geotechnique, 1982, 32( 3): 195– 202
CrossRef
Google scholar
|
[5] |
Merifield R S, Lyamin A V, Sloan S W. Limit analysis solutions for the bearing capacity of rock masses using the generalised Hoek–Brown criterion. International Journal of Rock Mechanics and Mining Sciences, 2006, 43( 6): 920– 937
CrossRef
Google scholar
|
[6] |
Kumar J, Mohapatra D. Lower-bound finite elements limit analysis for Hoek−Brown materials using semidefinite programming. Journal of Engineering Mechanics, 2017, 143( 9): 04017077–
CrossRef
Google scholar
|
[7] |
Kumar J, Rahaman O. Lower bound limit analysis using power cone programming for solving stability problems in rock mechanics for generalized Hoek–Brown criterion. Rock Mechanics and Rock Engineering, 2020, 53( 7): 3237– 3252
CrossRef
Google scholar
|
[8] |
Das S, Halder K, Chakraborty D. Bearing capacity of interfering strip footings on rock mass. Geomechanics and Geoengineering, 2021,
CrossRef
Google scholar
|
[9] |
Griffiths D V. Computation of bearing capacity on layered soils. In: Numerical Methods in Geomechanics, Proceedings of the 4th International Conference. Edmonton: Balkema, 1982,
|
[10] |
Florkiewicz A. Upper bound to bearing capacity of layered soils. Canadian Geotechnical Journal, 1989, 26( 4): 730– 736
CrossRef
Google scholar
|
[11] |
Burd H J, Frydman S. Bearing capacity of plane-strain footings on layered soils. Canadian Geotechnical Journal, 1997, 34( 2): 241– 253
CrossRef
Google scholar
|
[12] |
Huang M, Qin H L. Upper-bound multi-rigid-block solutions for bearing capacity of two-layered soils. Computers and Geotechnics, 2009, 36( 3): 525– 529
CrossRef
Google scholar
|
[13] |
Ouahab M Y, Mabrouki A, Mellas M, Benmeddour D. Effect of load eccentricity on the bearing capacity of strip footings on non-homogenous clay overlying bedrock. Transportation Infrastructure Geotechnology, 2018, 5( 2): 169– 186
CrossRef
Google scholar
|
[14] |
Mohr O. Circumstances that cause the elastic limit and the breakage of a material. Journal of the German Engineers Association, 1900, 46
|
[15] |
Hoek E, Carranza-Torres C, Corkum B. Hoek−Brown failure criterion—2002 edition. Proceedings of NARMS-Tac, 2002, 1( 1): 267– 273
|
[16] |
Halder K, Chakraborty D. Effect of interface friction angle between soil and reinforcement on bearing capacity of strip footing placed on reinforced slope. International Journal of Geomechanics, 2019, 19( 5): 06019008–
CrossRef
Google scholar
|
[17] |
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
|
[18] |
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
|
[19] |
MATLAB. Version 8.5. Natick, Massachusetts: MathWorks. 2015
|
[20] |
MOSEK ApS. Version 9.0. Copenhagen: MOSEK, 2020
|
[21] |
Krabbenhøft K, Lyamin A V, Sloan S W. Formulation and solution of some plasticity problems as conic programs. International Journal of Solids and Structures, 2007, 44( 5): 1533– 1549
CrossRef
Google scholar
|
[22] |
Tang C, Phoon K K, Toh K C. Lower-bound limit analysis of seismic passive earth pressure on rigid walls. International Journal of Geomechanics, 2014, 14( 5): 04014022–
CrossRef
Google scholar
|
[23] |
Nguyen-Xuan H, Rabczuk T. Adaptive selective ES-FEM limit analysis of cracked plane-strain structures. Frontiers of Structural and Civil Engineering, 2015, 9( 4): 478– 490
CrossRef
Google scholar
|
[24] |
Ukritchon B, Keawsawasvong S. Lower bound limit analysis of an anisotropic undrained strength criterion using second-order cone programming. International Journal for Numerical and Analytical Methods in Geomechanics, 2018, 42( 8): 1016– 1033
CrossRef
Google scholar
|
[25] |
Halder K, Chakraborty D. Probabilistic bearing capacity of strip footing on reinforced soil slope. Computers and Geotechnics, 2019, 116
CrossRef
Google scholar
|
[26] |
Rahaman O, Kumar J. Stability analysis of twin horse-shoe shaped tunnels in rock mass. Tunnelling and Underground Space Technology, 2020, 98
CrossRef
Google scholar
|
[27] |
Chakraborty D, Kumar J. Bearing capacity of strip foundations in reinforced soils. International Journal of Geomechanics, 2014, 14( 1): 45– 58
CrossRef
Google scholar
|
[28] |
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
CrossRef
Google scholar
|
[29] |
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
CrossRef
Google scholar
|
[30] |
Zhou S, Zhuang X, Rabczuk T. A phase-field modeling approach of fracture propagation in poroelastic media. Engineering Geology, 2018, 240
CrossRef
Google scholar
|
[31] |
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
CrossRef
Google scholar
|
[32] |
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
CrossRef
Google scholar
|
/
〈 | 〉 |