Technical Papers
Oct 4, 2023

Probabilistic Analysis of Dynamic Shakedown of Pavement due to Vehicular Loads and Earthquakes

Publication: Journal of Engineering Mechanics
Volume 149, Issue 12

Abstract

The uncertainties related to the inherent properties of pavement subgrade subjected to the dynamic effect of vehicular and earthquake loading were studied extensively using probabilistic analysis. The dynamic effect of the loading on pavement was modeled using lower bound shakedown analysis. Pavement subgrade was considered to be purely cohesive and was assumed to fail through the Mohr–Coulomb yield criterion. The soil spatial variability was simulated using random fields, which were represented in the form of finite-element random variables using the Karhunen–Loéve expansion method. The effect of parameter uncertainty was investigated using stochastic results such as the mean, coefficient of variation, and failure probability of the structure using the Monte Carlo simulation technique. The effect of dynamic loading of vehicles was studied by varying the period of vehicular movement. The dynamic shakedown was analyzed using two different methods. Seismic waves were generated using modified pseudodynamic approach. The combined effect of moving vehicles and earthquake was studied to determine the worst-case scenario. It was found that the generation of seismic waves affects the direction and frequency of the moving vehicle, which reduces the effect of shakedown on pavements due to vehicular load. The worst-case scenario was found to be the pavements with period ratio of 0.06 for a deterministic analysis, whereas it was 0.48 for a probabilistic analysis.

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Data Availability Statement

All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

This work used the Supercomputing facility of IIT Kharagpur established under the National Supercomputing Mission (NSM), Government of India, and supported by the Centre for Development of Advanced Computing (CDAC), Pune.

References

Achenbach, J. D. 1974. “Wave propagation in elastic solids.” J. Appl. Mech. 41 (2): 544. https://doi.org/10.1115/1.3423344.
Arvin, M. R., F. Askari, and O. Farzaneh. 2012. “Static and dynamic bearing capacity of strip footings, under variable repeated loading.” Turkish J. Eng. Environ. Sci. 36 (1): 19–31.
Bellezza, I. 2014. “A new pseudo-dynamic approach for seismic active soil thrust.” Geotech. Geol. Eng. 32 (2): 561–576. https://doi.org/10.1007/s10706-014-9734-y.
Brown, S., S. Juspi, and H.-S. Yu. 2008. “Experimental observations and theoretical predictions of shakedown in soils under wheel loading.” In Advances in transportation geotechnics. Boca Raton, FL: CRC Press.
Chakraborty, D., and J. Kumar. 2014. “Bearing capacity of strip foundations in reinforced soils.” Int. J. Geomech. 14 (1): 45–58. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000275.
Krishnan, K., K. Halder, and D. Chakraborty. 2022. “Probabilistic shakedown analysis of cohesive soil under moving surface loads considering wheel-soil interface friction.” Road Mater. Pavement Des. 23 (6): 1329–1344. https://doi.org/10.1080/14680629.2021.1888777.
Kumar, J., and V. N. Khatri. 2008. “Effect of footing roughness on lower bound Nγ values.” Int. J. Geomech. 8 (3): 176–187. https://doi.org/10.1061/(ASCE)1532-3641(2008)8:3(176).
Maier, G. 1969. “Shakedown theory in perfect elastoplasticity with associated and nonassociated flow-laws: A finite element, linear programming approach.” Meccanica 4 (3): 250–260. https://doi.org/10.1007/BF02133439.
Melan, E.1938. “Der spannungszustand eines hencky-mises schen kontinuums bei verlandicher belastung.” Sitz.-Ber. K. Wiss 147 (2A): 73.
Qian, J., Y. Wang, Z. Lin, Y. Liu, and T. Su. 2016. “Dynamic shakedown analysis of flexible pavement under traffic moving loading.” Procedia Eng. 143 (Jan): 1293–1300. https://doi.org/10.1016/j.proeng.2016.06.140.
Qian, J., Y. Wang, J. Wang, and M. Huang. 2019. “The influence of traffic moving speed on shakedown limits of flexible pavements.” Int. J. Pavement Eng. 20 (2): 233–244. https://doi.org/10.1080/10298436.2017.1293259.
Rahmani, R., S. M. Binesh, and M. Rafiei. 2022. “A semi-analytical random shakedown solution for pavements with spatial variability.” Int. J. Pavement Eng. (Apr): 1–14. https://doi.org/10.1080/10298436.2022.2055021.
Sharp, R. W., and J. R. Booker. 1984. “Shakedown of pavements under moving surface loads.” J. Transp. Eng. 110 (1): 1–14. https://doi.org/10.1061/(ASCE)0733-947X(1984)110:1(1).
Shiau, S. H., and H.-S. Yu. 2000. “Load and displacement prediction for shakedown analysis of layered pavements.” Transp. Res. Rec. J. Transp. Res. Board 1730 (1): 117–124. https://doi.org/10.3141/1730-14.
Spanos, P. D., and R. Ghanem. 1989. “Stochastic finite element expansion for random media.” J. Eng. Mech. 115 (5): 1035–1053. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:5(1035).
Vanmarcke, E. 1983. Random fields: Analysis and synthesis. Cambridge, MA: MIT Press.
Wang, J., and H. S. Yu. 2013. “Residual stresses and shakedown in cohesive-frictional half-space under moving surface loads.” Geomech. Geoeng. 8 (1): 1–14. https://doi.org/10.1080/17486025.2012.759281.
Yu, H.-S. 2005. “Three-dimensional analytical solutions for shakedown of cohesive-frictional materials under moving surface loads.” Proc. R. Soc. A Math. Phys. Eng. Sci. 461 (2059): 1951–1964. https://doi.org/10.1098/rspa.2005.1445.
Yu, H.-S., and M. Z. Hossain. 1998. “Lower bound shakedown analysis of layered pavements using discontinuous stress fields.” Comput. Methods Appl. Mech. Eng. 167 (3–4): 209–222. https://doi.org/10.1016/S0045-7825(98)00120-0.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 149Issue 12December 2023

History

Received: Mar 22, 2023
Accepted: Aug 16, 2023
Published online: Oct 4, 2023
Published in print: Dec 1, 2023
Discussion open until: Mar 4, 2024

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Affiliations

K. Krishnan, S.M.ASCE
Research Scholar, Dept. of Civil Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal 721302, India.
Debarghya Chakraborty, Aff.M.ASCE [email protected]
Associate Professor, Dept. of Civil Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal 721302, India (corresponding author). Email: [email protected]

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