- ABAQUS, (2019). ABAQUS user’s manuals version 6.19.1. Provid. RI ABAQUS, Inc. van den.
- Acquah, K., & Chen, Y. (2021). Discrete element modeling of soil compaction of a press-wheel. AgriEngineering, 3, 278-293. https://doi.org/10.3390/agriengineering3020019
- Akker, J. J. (2004). SOCOMO: a soil compaction model to calculate soil stresses and the subsoil carrying capacity. Soil and Tillage Research, 79, 113-127. https://doi.org/10.1016/j.still.2004.03.021
- Arefi, M., Karparvarfard, S. H., Azimi-Nejadian, H., & Naderi-Boldaji, M. (2022). Draught force prediction from soil relative density and relative water content for a non-winged chisel blade using finite element modelling. Journal of Terramechanics, 100, 73-80. https://doi.org/10.1016/j.jterra.2022.01.001
- Azimi-Nejadian, H., Karparvarfard, S. H., Naderi-Boldaji, M., & Rahmanian-Koushkaki, H. (2019). Combined finite element and statistical models for predicting force components on a cylindrical mouldboard plough. Biosystems Engineering, 186, 168-181. https://doi.org/10.1016/j.biosystemseng.2019.07.007
- Bahrami, M., Naderi-Boldaji, M., Ghanbarian, D., & Keller, T. (2022). Simulation of soil stress under plate sinkage loading: A comparison of finite element and discrete element methods. Soil and Tillage Research, 223, 105463. https://doi.org/10.1016/j.still.2022.105463
- Bahrami, M., Naderi-Boldaji, M., Ghanbarian, D., & Keller, T. (2023). Discrete element modelling of stress propagation in soil under a rigid wheel in a soil bin։ a simulation of probe inducing stress deviation and wheel speed. Biosystems Engineering, 230, 159-170. https://doi.org/10.1016/j.biosystemseng.2023.04.013
- Bolling, I. H. (1985). How to predict soil compaction from agricultural tires. Journal of Terramechanics, 22(4), 205-223. https://doi.org/10.1016/0022-4898(85)90017-5
- Boussinesq, M. J. (1885). Application Des Potentiels. Gauthier-Villars. https://books.google.com/books?id¼IYvpq89K_O8C
- Cueto, O. G., Coronel, C. E. I., Bravo, E. L., Morfa, C. A. R., & Suárez, M. H. (2016). Modelling in FEM the soil pressures distribution caused by a tyre on a Rhodic Ferralsol soil. Journal of Terramechanics, 63, 61-67. https://doi.org/10.1016/j.jterra.2015.09.003
- de Lima, R. P., & Keller, T. (2021). Soil stress measurement by load cell probes as influenced by probe design, probe position, and soil mechanical behavior. Soil and Tillage Research, 205, 104796. https://doi.org/10.1016/j.still.2020.104796
- De Pue, J., & Cornelis, W. M. (2019). DEM simulation of stress transmission under agricultural traffic Part 1: Comparison with continuum model and parametric study. Soil and Tillage Research, 195, 104408. https://doi.org/10.1016/j.still.2019.104408
- De Pue, J., Lamandé, M., & Cornelis, W. (2020). DEM simulation of stress transmission under agricultural traffic Part 2: Shear stress at the tyre-soil interface. Soil and Tillage Research, 203, 104660. https://doi.org/10.1016/j.still.2020.104660
- Farhadi, P., Golmohammadi, A., Sharifi Malvajerdi, A., & Shahgholi, G. (2020). Finite element modeling of the interaction of a treaded tire with clay-loam soil. Computers and Electronics in Agriculture, 162,793-806. https://doi.org/10.1016/j.compag.2019.05.031
- Frohlich, O. K. (1934). Druckverteilung im Baugrunde. Springer Verlag, Wien, pp. 178
- Gheshlaghi, F., & Mardani, A. (2021). Prediction of soil vertical stress under off-road tire using smoothed-particle hydrodynamics. Journal of Terramechanics, 95, 7-14. https://doi.org/10.1016/j.jterra.2021.02.004
- Hamza, M. A., & Anderson, W. K. (2005). Soil compaction in cropping systems: A review of the nature, causes and possible solutions. Soil and Tillage Research, 82(2), 121-145. https://doi.org/10.1016/j.still.2004.08.009
- Horn, R., Blackwell, P. S., & White, R. (1989). The effect of speed of wheeling on soil stresses, rut depth and soil physical properties in an ameliorated transitional red-brown earth. Soil and Tillage Research, 13, 353e364. https://doi.org/10.1016/0167-1987(89)90043-3
- Ibrahmi, A., Bentaher, H., Hbaieb, M., Maalej, A., & Mouazen, A. M. (2015). Study the effect of tool geometry and operational conditions on mouldboard plough forces and energy requirement: Part 1. Finite element simulation. Computers and Electronics in Agriculture, 117, 258-267. https://doi.org/10.1016/j.compag.2015.08.006
- Jimenez, K. J., Rolim, M. M., Gomes, I. F., de Lima, R. P., Berrío, L. L. A., & Ortiz, P. F. (2021). Numerical analysis applied to the study of soil stress and compaction due to mechanised sugarcane harvest. Soil and Tillage Research, 206, 104847. https://doi.org/10.1016/j.still.2020.104847
- Keller, T., Défossez, P., Weisskopf, P., Arvidsson, J., & Richard, G. (2007). SoilFlex: A model for prediction of soil stresses and soil compaction due to agricultural field traffic including a synthesis of analytical approaches. Soil and Tillage Research, 93(2), 391-411. https://doi.org/10.1016/j.still.2006.05.012
- Keller, T., Lamandé, M., Naderi-Boldaji, M., & de Lima, R. P. (2022). Soil Compaction Due to Agricultural Field Traffic: An Overview of Current Knowledge and Techniques for Compaction Quantification and Mapping. In: Saljnikov, E., Mueller, L., Lavrishchev, A., Eulenstein, F. (eds) Advances in Understanding Soil Degradation. Innovations in Landscape Research. Springer, Cham. https://doi.org/10.1007/978-3-030-85682-3_13
- Keller, T., Ruiz, S., Stettler, M., & Berli, M. (2016). Determining soil stress beneath a tire: measurements and simulations. Soil Science Society of America Journal, 80(3), 541-553. https://doi.org/10.2136/sssaj2015.07.0252
- Khalid, U., Farooq, K., & Mujtaba, H. (2018). On yield stress of compacted clays. International Journal of Geo-Engineering, 9(1), 1-16. https://doi.org/1186/s40703-018-0090-2
- Kirby, J. M. (1999a). Soil stress measurement: Part I. Transducer in a uniform stress field. Journal of Agricultural Engineering Research, 72(2), 151-160. https://doi.org/10.1006/jaer.1998.0357
- Kirby, J. M. (1999b). Soil stress measurement. Part 2: transducer beneath a circular loaded area. Journal of Agricultural Engineering Research, 73(2), 141-149. https://doi.org/10.1006/jaer.1998.0400
- Koolen, A. J., & Kuipers, H. (1983). Agricultural Soil Mechanics: Advanced Series in Agricultural Sciences Springer, Heidelberg, 241 pp. https://doi.org/10.1007/978-3-642-69010-5
- Labuz, J. F., & Theroux, B. (2005). Laboratory calibration of earth pressure cells. Geotechnical Testing Journal, 28(2), 188-196. https://doi.org/10.1520/GTJ12089
- Mahboub Yangeje, H., & Mardani, A. (2022). Investigating the interaction between soil and cultivator blade by numerical simulation and validation of results by soil bin tests. Journal of Agricultural Machinery, 12(4), 587-599. (in Persian with English abstract). https://doi.org/10.22067/jam.2021.70572.1041
- Naderi-Boldaji, M., Alimardani, R., Hemmat, A., Sharifi, A., Keyhani, A., Tekeste, M. Z., & Keller, T. (2013). 3D finite element simulation of a single-tip horizontal penetrometer–soil interaction. Part I: Development of the model and evaluation of the model parameters. Soil and Tillage Research, 134, 153-162. https://doi.org/10.1016/j.still.2013.08.002
- Naderi-Boldaji, M., Kazemzadeh, A., Hemmat, A., Rostami, S., & Keller, T. (2018). Changes in soil stress during repeated wheeling: A comparison of measured and simulated values. Soil Research, 56(2), 204-214. https://doi.org/10.1071/SR17093
- Naderi-Boldaji, M., Hajian, A., Ghanbarian, D., & Bahrami, M. (2018). Finite element simulation of plate sinkage, confined and semi-confined compression tests: A comparison of the response to yield stress. Soil and Tillage Research, 179, 63-70. https://doi.org/10.1016/j.still.2018.02.003
- Naderi-Boldaji, M., Karparvarfard, S. H., & Azimi-Nejadian, H. (2023). Investigation of the predictability of mouldboard plough draught from soil mechanical strength (cone index shear strength) using finite element modelling. Journal of Terramechanics, 108, 21-31. https://doi.org/10.1016/j.jterra.2023.04.001
- Nawaz, M. F., Bourrie, G., & Trolard, F. (2013). Soil compaction impact and modelling. A review. Agronomy for sustainable development, 33, 291-309. https://doi.org/10.1007/s13593-011-0071-8
- Or, D., & Ghezzehei, T. A. (2002). Modeling post-tillage soil structural dynamics: a review. Soil and Tillage Research, 64(1-2), 41-59. https://doi.org/10.1016/S0167-1987(01)00256-2
- Peth, S., Horn, R., Fazekas, O., & Richards, B. G. (2006). Heavy soil loading its consequence for soil structure, strength, deformation of arable soils. Journal of Plant Nutrition and Soil Science, 169(6), 775-783. https://doi.org/10.1002/jpln.200620112
- Pytka, J. A. (2013). Dynamics of wheelesoil systems: A soil stress and deformation-based approach. CRC Press, Taylor & Francis Group, LLC. https://doi.org/10.1201/b12729
- Rücknagel, J., Hofmann, B., Deumelandt, P., Reinicke, F., Bauhardt, J., Hülsbergen, K. J., & Christen, O. (2015). Indicator based assessment of the soil compaction risk at arable sites using the model REPRO. Ecological Indicators, 52, 341-352. https://doi.org/10.1016/j.ecolind.2014.12.022
- Schjønning, P., Lamandé, M., Tøgersen, F. A., Arvidsson, J., & Keller, T. (2008). Modelling effects of tyre inflation pressure on the stress distribution near the soil–tyre interface. Biosystems Engineering, 99(1), 119-133. https://doi.org/10.1016/j.biosystemseng.2007.08.005
- Shahgholi, G., Ghafouri Chiyaneh, H., & Mesri Gundoshmian, T. (2018). Modeling of soil compaction beneath the tractor tire using multilayer perceptron neural networks. Journal of Agricultural Machinery, 8(1), 105-118. (in Persian with English abstract). https://doi.org/10.22067/jam.v8i1.58891
- Shmulevich, I., Mussel, U., & Wolf, D. (1998). The effect of velocity on rigid wheel performance. Journal of Terramechanics, 35(3), 189-207. https://doi.org/10.1016/S0022-4898(98)00022-6
- Silva, R. P., Rolim, M. M., Gomes, I. F., Pedrosa, E. M., Tavares, U. E., & Santos, A. N. (2018). Numerical modeling of soil compaction in a sugarcane crop using the finite element method. Soil and Tillage Research, 181, 1-10. https://doi.org/10.1016/j.still.2018.03.019
- Söhne, W. (1953). Druckverteilung im Boden und Bodenformung unter Schlepperreifen (Pressure distribution in the soil and soil deformation under tractor tyres). Grundl Land Technik, 5, 49-63. https://doi.org/10.1007/BF01512930
- Stafford, J. V., & de Carvalho Mattos, P. (1981). The effect of forward speed on wheel-induced soil compaction: laboratory simulation and field experiments. Journal of Agricultural Engineering Research, 26(4), 333-347. https://doi.org/10.1016/0021-8634(81)90075-5
- Stettler, M., Keller, T., Weisskopf, P., Lamandé, M., Lassen, P., & Schjønning, P. (2014). Terranimo®–a web-based tool for evaluating soil compaction. Landtechnik, 69(3), 132-138.
- Taghavifar, H., & Mardani, A. (2014). Effect of velocity, wheel load and multipass on soil compaction. Journal of the Saudi Society of Agricultural Sciences, 13(1), 57-66. https://doi.org/10.1016/j.jssas.2013.01.004
- Ucgul, M., Saunders, C., & Fielke, J. M. (2017). Particle and geometry scaling of the hysteretic spring/linear cohesion contact model for discrete element modelling of soil-tool simulation. ASABE Paper No. 1701372. St. Joseph, MI: ASABE. https://doi.org/10.13031/aim.201701372
- Van den Akker, J. J. H. (2004). SOCOMO: a soil compaction model to calculate soil stresses and the subsoil carrying capacity. Soil and Tillage Research, 79(1), 113-127. https://doi.org/10.1016/j.still.2004.03.021
- Weiler Jr, W. A., & Kulhawy, F. H. (1982). Factors affecting stress cell measurements in soil. Journal of the Geotechnical Engineering Division, 108(12), 1529-1548. https://doi.org/10.1061/AJGEB6.0001393
- Xia, K. (2011). Finite element modeling of tire/terrain interaction: Application to predicting soil compaction and tire mobility. Journal of Terramechanics, 48(2), 113-123. https://doi.org/10.1016/j.jterra.2010.05.001
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