A new approach for modelling vertical stress distribution at the soil/tyre interface to predict the compaction of cultivated soils by using the PLAXIS code

Atkinson, 1978 Bardet, 1997 Berli, 2003, Modelling compaction of agricultural subsoils by tracked heavy construction machinery under various moisture conditions in Switzerland, Soil Tillage Res., 73, 57, 10.1016/S0167-1987(03)00099-0 Burt, 1987, A three-dimensional system for measuring tire deformation and contact stresses, Trans. ASAE, 30, 324, 10.13031/2013.31947 Chi, 1993, Finite element modeling of soil compaction by liquid manure spreaders, Trans. ASAE, 36, 637, 10.13031/2013.28380 Craig, 1997 Défossez, 2002, Models of soil compaction due to traffic and their evaluation, Soil Tillage Res., 67, 41, 10.1016/S0167-1987(02)00030-2 Défossez, 2003, Modeling change in soil compaction due to agricultural traffic as function of soil water content, Geoderma, 116, 89, 10.1016/S0016-7061(03)00096-X Febo, P., Lucarrelli, F., Pessina, D., 2000. Soil-tyre interaction parameters influencing soil compaction: a study of contact area prediction models. In: Horn, R., Van den Akker, J.J.H., Arvidsson, J. (Eds.), Subsoil Compaction: Distribution, Processes and Consequences. Advances in Genecology, vol. 32, pp. 191–201. Gere, 1997 Gysi, 2001, Compaction of a Eutric Cambisol under heavy wheel traffic in Switzerland: field data and a critical state soil mechanics model approach, Soil Tillage Res., 61, 133, 10.1016/S0167-1987(01)00161-1 Gysi, 2001, Pressure distribution underneath tires of agricultural vehicles, Trans. ASAE, 44, 1385, 10.13031/2013.7001 Gupta, S.C., Raper, R.L., 1994. Prediction of soil compaction under vehicles. In: Soane, B.D., van Ouwerkerk, C. (Eds.), Soil Compaction in Crop Production. Developments in Agricultural Engineering, vol. 11, pp. 71–90. Johnson, 1985 Johnson, 1990, A method of predicting soil stress state under tires, Trans. ASAE, 33, 713, 10.13031/2013.31390 Jun, 1998, Three-directional contact stress distributions for a pneumatic tractor tire in soft soil, Trans. ASAE, 41, 1237, 10.13031/2013.17288 Keller, 2005, A model for the prediction of the contact area and the distribution of vertical stress below agricultural tyres from readily available tyre parameters, Biosyst. Eng., 92, 85, 10.1016/j.biosystemseng.2005.05.012 Keller, 2007, SoilFlex: a model for prediction of soil stresses and soil compaction due to agricultural field traffic including a synthesis of analytical approaches, Soil Tillage Res., 93, 391, 10.1016/j.still.2006.05.012 Kirby, 1994, Simulating soil deformation using a critical-state model. I. Laboratory tests, Eur. J. Soil Sci., 45, 239, 10.1111/j.1365-2389.1994.tb00506.x Kirby, 1997, Simulating soil deformation using a critical-state model. II. Soil compaction beneath tyres and tracks, Eur. J. Soil Sci., 48, 59, 10.1111/j.1365-2389.1997.tb00185.x Kirby, 1997, Influence of varying axle load and tyre pressure on soil stresses and resulting compaction, 21 Koolen, 1992, Prediction of aspects of soil-wheel systems, Soil Tillage Res., 24, 381, 10.1016/0167-1987(92)90120-Z O'Sullivan, 1999, A simplified method for estimating soil compaction, Soil Tillage Res., 49, 325, 10.1016/S0167-1987(98)00187-1 PLAXIS (Version 7), 1998. Finite element code for soil and rock analysis. Balkema, Rotterdam, Netherlands. PLAXIS Bulletin, 1999. No. 8, pp. 14–15. Pollock, 1986, Finite element analysis of multipass effects of vehicles on soil compaction, Trans. ASAE, 29, 45, 10.13031/2013.30099 Raper, 1990, Prediction of soil stresses using the finite element method, Trans. ASAE, 33, 725, 10.13031/2013.31392 Smith, 1998 Smith, 2000, Modified Boussinesq's equations for nonuniform tire loading, J. Terramechanics, 37, 207, 10.1016/S0022-4898(00)00007-0 Soane, 1994, Soil compaction problems in world agriculture, vol. 11, 1 Söhne, 1958, Fundamentals of pressure distribution and soil compaction under tractor tires, Agric. Eng., 39 VandenBerg, 1962, Pressure distribution between a smooth tire and the soil, Trans. ASAE, 5, 105, 10.13031/2013.40947 Way, 2004, Interface pressures of a tractor drive tyre on structured and loose soils, Biosyst. Eng., 87, 375, 10.1016/j.biosystemseng.2003.12.001 Wood, 1990 Wood, 1987, Soil-tire interface stress measurements, Trans. ASAE, 30, 1254, 10.13031/2013.30554