Technical Paper
Dec 31, 2015

Fracture Analysis of Cohesive Soils Using Bilinear and Trilinear Cohesive Laws

Publication: International Journal of Geomechanics
Volume 16, Issue 4

Abstract

Tensile cracking of soil is an important issue that affects the strength and permeability of soil in many geotechnical applications, such as in soil dams and landfill liners. When the size of the fracture process zone is not negligible compared to specimen dimensions, a nonlinear fracture mechanics approach, such as a cohesive crack model, should be used to simulate the experimental results. A critical issue in the simulation of cohesive failure mechanism is the definition of cohesive interactions along fracture surfaces. In this study, bilinear and trilinear cohesive laws are examined based on data sets available in the literature. The inverse method is used for the definition of the cohesive parameters. As a result of this study, some conclusions are established to assess the importance of using a suitable cohesive law shape for a given soil that accurately predicts the cohesive fracture parameters under different material conditions. Finally, based on a tensile strength model of granular soil, a modified model is proposed to interpret the tensile strength of compacted clayey soils.

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Acknowledgments

The financial support of the Iran National Science Foundation (INSF) under Grant No. 91003668 is gratefully acknowledged.

References

Amarasiri, A. L., Costa, S., and Kodikara, J. K. (2011a). “Determination of cohesive properties for mode I fracture from compacted clay beams.” Can. Geotech. J., 48(8), 1163–1173.
Amarasiri, A. L., and Kodikara, J. K. (2011). “Use of material interfaces in DEM to simulate soil fracture propagation in mode I cracking.” Int. J. Geomech., 314–322.
Amarasiri, A., Kodikara, J., and Costa, S. (2011b). “Numerical modelling of desiccation cracking.” Int. J. Numer. Anal. Methods Geomech., 35(1), 82–96.
Ayad, R., Konrad, J. M., and Soulié, M. (1997). “Desiccation of a sensitive clay: application of the model crack.” Can. Geotech. J., 34(6), 943–951.
Barani, O. R., and Khoei, A. R. (2014). “3D Modeling of cohesive crack growth in partially saturated porous media; A parametric study.” Eng. Fract. Mech.124 –125, 272–286.
Barani, O. R., Khoei, A. R., and Mofid, M. (2011). “Modeling of cohesive crack growth in partially saturated porous media; A study on the permeability of cohesive fracture.” Int. J. Fract., 167(1), 15–31.
Barenblatt, G. I. (1959). “The formation of equilibrium cracks during brittle fracture: general ideas and hypotheses.” J. Appl. Math. Mech., 23(3), 622–636.
Bazant, Z. P., and Planas, J. (1998). Fracture and size effect in concrete and other quasibrittle materials, CRC Press, Boca Raton, FL.
Camacho, G. T., and Ortiz, M. (1996). “Computational modelling of impact damage in brittle materials.” Int. J. Solids Struct., 33(20–22), 899–938.
Delage, P., Audiguier, M., Cui, Y. J., and Howat, M. D. (1996). “Microstructure of a compacted silt.” Can. Geotech. J., 33(1), 150–158.
Dugdale, D. S. (1960). “Yielding of steel sheets containing slits.” J. Mech. Phys. Solids, 8(2), 100–108.
Gallipoli, D., Wheeler, S. J., and Karstunen, M. (2003). “Modelling the variation of degree of saturation in a deformable unsaturated soil.” Geotechnique, 53(1), 105–112.
Hallett, P. D., and Newson, T. A. (2001). “A simple fracture mechanics approach for assessing ductile crack growth in soil.” Soil Sci. Soc. Am. J., 65(4), 1083–1088.
Hallett, P. D., and Newson, T. A. (2005). “Describing soil crack formation using elastic-plastic fracture mechanics.” Eur. J. Soil Sci., 56(1), 31–38.
Hillerborg, A., Modéer, M., and Petersson, P. E. (1976). “Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements.” Cem. Concr. Res., 6(6), 773–782.
Khoei, A. R. (2005). Computational plasticity in powder forming processes, Elsevier, London.
Khoei A. R., Barani O. R., and Mofid M. (2011). “Modeling of dynamic cohesive fracture propagation in porous saturated media.” Int. J. Numer. Anal. Methods Geomech., 35(10), 1160–1184.
Khoei, A. R., Moslemi, H., Majd Ardakany, K., Barani, O. R., and Azadi, H. (2009). “Modeling of cohesive crack growth using an adaptive mesh refinement via the modified–SPR technique.” Int. J. Fract.159(1), 21–41.
Konrad, J. M., and Ayad, R. (1997). “Desiccation of a sensitive clay: Field experimental observations.” Can. Geotech. J., 34(6), 929–942.
Lu, N., Kim, T. H., Sture, S., and Likos, W. J. (2009).”Tensile strength of unsaturated sand.” J. Eng. Mech., 1410–1419.
Park, K., and Paulino, G. H. (2011). “Cohesive zone models: A critical review of traction-separation relationships across fracture surfaces.” Appl. Mech. Rev., 64, 060802.
Park, K., Paulino, G. H., and Roesler, J. (2010) “Cohesive fracture model for functionally graded fiber reinforced concrete.” Cem. Concr. Res.40(6), 956–65.
Petersson, P. E. (1981). “Crack growth and development of fracture zones in plain concrete and similar materials.” Rep. TVBM 1006, Lund University, Lund, Sweden.
Romero, E., Gens, A., and Lloret, A. (1999). “Water permeability, water retention and microstructure of unsaturated compacted Boom clay.” Eng. Geol., 54(1–2), 117–127.
Romero, E., and Simms, P. H. (2008). “Microstructure investigation in unsaturated soils: A review with special attention to contribution of mercury intrusion porosimetry and environmental scanning electron microscopy.” Geotech. Geol. Eng., 26(6), 705–727.
Salager, S., Nuth, M., Ferrari, A., and Laloui, L. (2013). “Investigation into water retention behaviour of deformable soils.” Can. Geotech. J., 50(2), 200–208.
Song, S. H., Paulino, G. H., and Buttlar, W. G. (2006a). “A bilinear cohesive zone model tailored for fracture of asphalt concrete considering viscoelastic bulk material.” Eng. Fract. Mech., 73(18), 2829–2848.
Song, S. H., Paulino, G. H., and Buttlar, W. G. (2006b). “Simulation of crack propagation in asphalt concrete using an intrinsic cohesive zone model.” J. Eng. Mech.,1215–1223.
Spring, D. W., and Paulino, G. H. (2014). “A growing library of three-dimensional cohesive elements for use in ABAQUS.” Eng. Fract. Mech., 126, 190–216.
Sture, S., Alqasabi, A., and Ayari, M. (1999). “Fracture and size effect characters of cemented sand.” Int. J. Fract., 95(1), 405–433.
Tang, C. S., Pei, X. J., Wang, D. Y., Shi, B., and Li, J. (2015). “Tensile strength of compacted clayey soil.” J. Geotech. Geoenviron. Eng., 04014122.
Vallejo, L. E. (1987). “The influence of fissures in a stiff clay subjected to direct shear.” Geotechnique, 37(1), 69–82.
Vallejo, L. E. (1993). “Shear stresses and the hydraulic fracturing of earth dam soils.” Soils Found., 33(3), 14–27.
van Genuchten, M. T. (1980). “A closed form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Sci. Soc. Am. J., 44(5), 892–898.
Wang, J.-J., Zhu, J.-G., Chiu, C. F., and Zhang, H. (2007). “Experimental study on fracture toughness and tensile strength of a clay.” Eng. Geol., 94(1–2): 65–75.
Xu, X. P., and Needleman, A. (1994). “Numerical simulations of fast crack growth in brittle solids.” J. Mech. Phys. Solids, 42(9), 1397–1434.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 16Issue 4August 2016

History

Received: Apr 7, 2015
Accepted: Oct 21, 2015
Published online: Dec 31, 2015
Discussion open until: May 31, 2016
Published in print: Aug 1, 2016

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Authors

Affiliations

Omid Reza Barani [email protected]
Assistant Professor, Dept. of Civil Engineering, K.N. Toosi Univ. of Technology, P.O. Box 15875-4416, 19967-15433 Tehran, Iran (corresponding author). E-mail: [email protected]
Mohammadnabi Mosallanejad
Graduate Student, Dept. of Civil Engineering, K.N. Toosi Univ. of Technology, P.O. Box 15875-4416, 19967-15433 Tehran, Iran.
Seyed Amirodin Sadrnejad
Professor, Dept. of Civil Engineering, K.N. Toosi Univ. of Technology, P.O. Box 15875-4416, 19967-15433 Tehran, Iran.

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