Numerical analysis of road pavement thermal deformability, based on Biot viscoelastic model of porous medium

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The following study presents numerical calculations for establishing the impact of temperature changes on the process of distortion of bi-phase medium represented using Biot consolidation equations with Kelvin–Voigt rheological skeleton presented, on the example of thermo-consolidation of a pavement of expressway S17. We analyzed the behavior of the expressway under the action of its own weight, dynamic load caused by traffic and temperature gradient. This paper presents the application of the Biot consolidation model with the Kelvin–Voigt skeleton rheological characteristics and the influence of temperature on the deformation process is taken into account. A three-dimensional model of the medium was created describing the thermal consolidation of a porous medium. The 3D geometrical model of the area under investigation was based on data obtained from the land surveying and soil investigation of a 200 m long section of the expressway and its shoulders.

[1] Gradkowski K., Load-bearing capacity of motor road pavements strengthened with geosynthetic materials, Warsaw University of Technology Publishing House, Warsaw, 2008, (in Polish).

[2] Biot M.A., General theory of three-dimensional consolidation, J. Appl. Phys., 1941, No. 12, 155.

[3] Biot M.A., General Solutions of the Equations of Elasticity and Consolidation of a Porous Material, J. Appl. Mech., 1956, 23.

[4] Bartlewska-Urban M., Strzelecki T., Effect of variation of temperature field on the process of thermal consolidation of tailings pond “Żelazny Most”, Studia Geotechnica et Mechanica, 2014, 36(2).

[5] Kondracki J., Geograficzna mapa Polski, Państ. Wydaw. Naukowe, 1978.

[6] Bartlewska M., Determination of the effective parameters of cohesive soil rheological models, PhD thesis, Wrocław University of Technology, Faculty of Geoengineering, Mining and Geology, Wrocław, 2009, (in Polish).

[7] Geological Survey Plan, 2011.

[8] FlexPDE professional v 6.0 manual.

[9] Bartlewska-Urban M., Strzelecki T., Urban R., Determination of effective parameters of Biot model with the Kelvin–Voight rheological skeleton, Archives of Civil and Mechanical Engineering 01/2015. DOI: 10.1016/j.acme.2014.12.007.

[10] Bartlewska M., Strzelecki T., Equations of Biot consolidation with Kelvin–Voigt rheological frame, Studia Geotechnica et Mechanica, 2009, Vol. XXXI, No. 2, 3–15.

[11] Bartlewska M., Strzelecki T., One-dimensional consolidation of the porous medium with the rheological Kelvin–Voight skeleton, Studia Geotechnica et Mechanica, 2008, Vol. XXX, No. 1–2.

Studia Geotechnica et Mechanica

The Journal of Wroclaw University of Technology

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