Tensile Strength Framework for Unsaturated Coarse- and Fine-Grained Soils
Publication: International Journal of Geomechanics
Volume 23, Issue 7
Abstract
The tensile strength of unsaturated soils is essential to assess the safety and reliability of earthen structures over a prolonged period. This specific property of unsaturated soils plays a significant role in desiccation cracking and tensile failure of earth structures. The tensile strength of unsaturated soils can be measured through various direct and indirect testing methods in the laboratory and through different models available in the literature. These models can rapidly predict the tensile strength of unsaturated soils over a wide suction range. However, a practical framework to capture the tensile strength behavior with variations in soil type, tensile strength testing methodologies, and sample preparation methodologies has not been probed. In the present study, a novel tensile strength framework for both coarse- and fine-grained soils is proposed to determine the tensile strength characteristic curve (TSCC) over the entire saturation range from the respective soil water retention curves. A critical assessment of the variation of the parameters for the TSCC model for various types of soils, tensile strength testing methods, and sample preparation methodologies was also performed in this study. Further, the proposed framework was validated with several experimental data sets available in the literature for both coarse- and fine-grained soils. A good agreement was found between the experimental data and predicted results in most cases, with variation in soil type, sample preparation, and testing method. Therefore, the proposed model can be effectively used to determine the tensile strength of unsaturated coarse- and fine-grained soils over the entire saturation range and can be widely utilized for various engineering assessments in real-field situations.
Get full access to this article
View all available purchase options and get full access to this article.
Data Availability Statement
All data, models, and codes generated or used in this study are presented in the paper.
Acknowledgments
The work in this paper was supported substantially by the Science and Engineering Research Board, Department of Science and Technology, India (Project No. CRG/2018/004612).
References
Akin, I. D. 2017. Internal stress state of unsaturated clay. Madison, WI: Dept. of Civil and Environmental Engineering, Univ. of Wisconsin-Madison.
Akin, I. D., and W. J. Likos. 2020. “Suction stress of clay over a wide range of saturation.” Geotech. Geol. Eng. 38: 283–296. https://doi.org/10.1007/s10706-019-01016-7.
AlAwad, M. N. J. 2020. “Modification of the Brazilian indirect tensile strength formula for better estimation of the tensile strength of rocks and rock-like geomaterials.” J. King Saud Univ. Eng. Sci. 34 (2): 147–154. https://doi.org/10.1016/j.jksues.2020.08.003.
Al-Dakheeli, H., R. Bulut, C. R. Clarke, and J. B. Nevels. 2017. “Hydro-mechanical analysis of crack initiation in expansive soils.” In: Proc., Pan-Am Unsaturated Soils, 332–341. Reston, VA: ASCE.
Bulolo, S., E. C. Leong, and R. Kizza. 2021. “Tensile strength of unsaturated coarse and fine-grained soils.” Bull. Eng. Geol. Environ. 80: 2727–2750. https://doi.org/10.1007/s10064-020-02073-6.
Cheng, Q., C. S. Tang, C. Zhu, K. Li, and B. Shi. 2020. “Drying-induced soil shrinkage and desiccation cracking monitoring with distributed optical fiber sensing technique.” Bull. Eng. Geol. Environ. 79 (8): 3959–3970. https://doi.org/10.1007/s10064-020-01809-8.
Dagar, V., and E. Cokca. 2021. “A study on tensile strength of compacted fine-grained soils.” Geotech. Geol. Eng. 39: 751–764. https://doi.org/10.1007/s10706-020-01519-8.
Dalla, E., M. Hilpert, and C. T. Miller. 2002. “Computation of the interfacial area for two-fluid porous medium systems.” J. Contam. Hydrol. 56: 25–48. https://doi.org/10.1016/S0169-7722(01)00202-9.
Diamantopoulos, E., W. Durner, and T. Harter. 2016. “Prediction of capillary air–liquid interfacial area vs. saturation function from relationship between capillary pressure and water saturation.” Adv. Water Res. 97: 219–223. https://doi.org/10.1016/j.advwatres.2016.09.012.
Gao, Q. F., L. Zeng, Z. N. Shi, and R. Zhang. 2021. “Evolution of unsaturated shear strength and microstructure of a compacted silty clay on wetting paths.” Int. J. Geomech. 21 (12): 04021103. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002207.
Goulding, R. B. 2006. Tensile strength, shear strength, and effective stress for unsaturated sand. Columbia, MO: University of Missouri.
Grant, G. P., and J. I. Gerhard. 2007. “Simulating the dissolution of a complex dense non-aqueous phase liquid source zone: 1. Model to predict interfacial area.” Water Resour. Res. 43: W12410. https://doi.org/10.1029/2007WR006038.
Grossman, R. B., and W. C. Lynn. 1967. “Gel-like films that may form at the air–water interface in soils.” Soil. Sci. Am. Proc. 31: 259–262. https://doi.org/10.2136/sssaj1967.03615995003100020032x.
Haeri, S. M., A. A. Garakani, and M. K. Zarch. 2021. “Unsaturated 3D column method: New method for evaluation of stability of unsaturated slopes subjected to vertical steady-state infiltration and evaporation.” Int. J. Geomech. 21 (10): 04021177. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002125.
Kim, T. H. 2001. Moisture-induced tensile strength and cohesion in sand. Boulder, CO: Univ. of Colorado at Boulder.
Konrad, J. M., and M. Lebeau. 2015. “Capillary-based effective stress formulation for predicting shear strength of unsaturated soils.” Can. Geotech. J. 52 (12): 2067–2076. https://doi.org/10.1139/cgj-2014-0300.
Kralchevsky, P. A., and K. Nagayama. 2001. Particles at fluid interfaces and membranes: Attachment of colloid particles and proteins to interfaces and formation of two-dimensional arrays. Amsterdam, Netherlands: Elsevier.
Li, X., H. Wen, B. Muhunthan, and J. Wang. 2015. “Modeling and prediction of the effects of moisture on the unconfined compressive and tensile strength of soils.” J. Geotech. Geoenviron. Eng. 141 (7): 04015028. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001308.
Likos, W. J. 2014. “Effective stress in unsaturated soil: Accounting for surface tension and interfacial area.” Vadose Zone J. 13 (5): 1–12. https://doi.org/10.2136/vzj2013.05.0095.
Lin, Z., J. Qian, and Q. Zhan. 2022. “A novel hysteretic soil–water retention model with contact angle-dependent capillarity.” Int. J. Geomech. 22 (2): 06021037. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002284.
Lu, N. 2016. “Generalized soil water retention equation for adsorption and capillarity.” J. Geotech. Geoenviron. Eng. 142 (10): 04016051. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001524.
Lu, N., T. H. Kim, S. Sture, and W. J. Likos. 2009. “Tensile strength of unsaturated sand.” J. Eng. Mech. 135 (12): 1410–1419. https://doi.org10.1061/(ASCE)EM.1943-7889.0000054.
Lu, N., B. Wu, and C. P. Tan. 2007. “Tensile strength characteristics of unsaturated sands.” J. Geotech. Geoenviron. Eng. 133 (2): 144–154. https://doi.org/10.1061/(ASCE)1090-0241(2007)133:2(144).
Lu, N., and C. Zhang. 2019. “Soil sorptive potential: Concept, theory, and verification.” J. Geotech. Geoenviron. Eng. 145 (4): 04019006. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002025.
Madjoudj, N. 2001. Caractérisation du comportement en traction des sols argileux pour les barrières de centres de stockage de déchets. Saint-Martin-d’Hères, France: Université Joseph Fourier de Grenoble.
Murray, I., and A. Tarantino. 2019. “Mechanisms of failure in saturated and unsaturated clayey geomaterials subjected to (total) tensile stress.” Geotechnique 69 (8): 701–712. https://doi.org/10.1680/jgeot.17.P. 252.
Narvaez, B., M. Aubertin, and F. Saleh-Mbemba. 2015. “Determination of the tensile strength of unsaturated tailings using bending tests.” Can. Geotech. J. 52 (11): 1874–1885. https://doi.org/10.1139/cgj-2014-0156.
Oh, W. T., S. K. Vanapalli, and A. J. Puppala. 2009. “Semiempirical model for the prediction of modulus of elasticity for unsaturated soils.” Can. Geotech. J. 46 (8): 903–914. https://doi.org/10.1139/T09-030.
Parry, R. H. G. 2004. Mohr circles, stress paths and geotechnics. Boca Raton, FL: CRC Press.
Rajesh, S., and B. V. S. Viswanadham. 2011. “Hydro-mechanical behavior of geogrid-reinforced soil barriers for landfill covers system.” Geotext. Geomembr. 29 (1): 51–64. https://doi.org/10.1016/j.geotexmem.2010.06.010.
Richard, K. 2019. Suction, hydraulic and strength properties of compacted soils. Singapore: Nanyang Technological Univ.
Roy, S., and S. Rajesh. 2020. “Simplified model to predict features of soil–water retention curve accounting for stress state conditions.” Int. J. Geomech. 20 (3): 04019191. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001591.
Rumpf, H. C. H. 1970. “Zur theorie der zugfestigkeit von agglomeraten bei kraftuebertragung an kontaktpunkten.” Chem. Ing. Tech. 42 (8): 538–540. https://doi.org/https://doi.org10.1002/cite.330420806.
Salimi, K., A. B. Cerato, F. Vahedifard, and G. A. Miller. 2021. “General model for the uniaxial tensile strength characteristic curve of unsaturated soils.” J. Geotech. Geoenviron. Eng. 147 (7): 04021051. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002567.
Schubert, H. 1975. “Tensile strength of agglomerates.” Powder Technol. 11 (2): 107–119. https://doi.org/10.1016/0032-5910(75)80036-2.
Stirling, R. A. 2014. Multiphase modeling of desiccation cracking in compacted soil. Newcastle, UK: School of Civil Engineering and Geosciences, Newcastle Univ.
Stirling, R. A., P. Hughes, C. T. Davie, and S. Glendinning. 2015. “Tensile behavior of unsaturated compacted clay soils—A direct assessment method.” Appl. Clay Sci. 112–113: 123–133. https://doi.org/http://doi.org/10.1016/j.clay.2015.04.011.
Sun, D., L. Wang, and L. Li. 2020. “Stability of unsaturated soil slopes with cracks under steady-infiltration conditions.” Int. J. Geomech. 19 (6): 04019044. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001398.
Tang, C. S., X. J. Pei, D. Y. Wang, B. Shi, and J. Li. 2014. “Tensile strength of compacted clayey soil.” J. Geotech. Geoenviron. 141 (4): 04014122. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001267.
Trabelsi, H., M. Jamei, H. Guiras, H. Zenzri, E. Romero, and S. Olivella. 2010. “Some investigations about the tensile strength and the desiccation process of unsaturated clay.” In EPJ Web of Conf.: Proc., 14th Int. Conf. on Experimental Mechanics. Les Ulis, France: EDP Sciences.
Trabelsi, H., E. Romero, and M. Jameic. 2018. “Tensile strength during drying of remolded and compacted clay: The role of fabric and water retention.” Appl. Clay Sci. 162: 57–68. https://doi.org/10.1016/j.clay.2018.05.032.
Tuller, M., and D. Or. 2005. “Water films and scaling of soil characteristic curves at low water contents.” Water Resour. Res. 41 (9): W09403. https://doi.org/10.1029/2005WR004142.
Vanapalli, S. K., D. G. Fredlund, D. E. Pufahl, and A. W. Clifton. 1996. “Model for the prediction of shear strength with respect to soil suction.” Can. Geotech. J. 33 (3): 379–392. https://doi.org/10.1139/t96-060.
Vanapalli, S. K., and W. T. Oh. 2010. “A model for predicting the modulus of elasticity of unsaturated soils using the soil–water characteristic curve.” Int. J. Geotech. Eng. 4: 425–433. https://doi.org/10.3328/IJGE.2010.04.04.425-433.
Varsei, M., G. A. Miller, and A. Hassanikhah. 2016. “Novel approach to measuring tensile strength of compacted clayey soil during desiccation.” Int. J. Geomech. 16 (6): D4016011. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000705.
Vesga, L. F. 2005. Mechanics of crack propagation in clays under dynamic loading. Pittsburgh: Dept. of Civil and Environmental Engineering, Univ. of Pittsburgh.
Wang, J. P., B. Francois, and P. Lambert. 2020. “From basic particle gradation parameters to water retention curves and tensile strength of unsaturated granular soils.” Int. J. Geomech. 20 (6): 05020003. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001677.
Willson, C. S., N. Lu, and W. J. Likos. 2012. “Quantification of grain, pore, and fluid microstructure of unsaturated sand from X-ray computed tomography images.” Geotech. Test J. 35 (6): 911–923. https://doi.org/10.1520/GTJ20120075.
Xu, X. L., S. C. Wu, A. B. Jin, and Y. T. Gao. 2018. “Review of the relationships between crack initiation stress, mode I fracture toughness, and tensile strength of geo-materials.” Int. J. Geomech. 18 (10): 04018136. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001227.
Yin, P., and S. K. Vanapalli. 2018. “Model for predicting tensile strength of unsaturated cohesionless soils.” Can. Geotech. J. 55 (9): 1313–1333. https://doi.org/https://doi.org10.1139/cgj-2017-0376.
Zeh, R., and K. Witt. 2005. “Suction-controlled tensile strength of compacted clays.” In Proc., Int. Conf. on Soil Mechanics and Geotechnical Engineering. Princeton, NJ: Citeseer.
Information & Authors
Information
Published In
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Mar 8, 2022
Accepted: Feb 17, 2023
Published online: May 5, 2023
Published in print: Jul 1, 2023
Discussion open until: Oct 5, 2023
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.