Thermal elastic deformation of the layered covering on the concave part of a road




automobile road, road coating structure, transport loads, stress field, thermo elastic state


The problem on numerical investigation of thermo-elastic deformation of a layered coating on the concave and rectilinear road parts is stated. The constitutive equations are formulated, their finite-element analogues are constructed. The load versions at different values of geometric, structural, and temperature parameters are taken into account.

The influence of the door curvature on redistribution of the stress fields under action of thermal perturbations are analysed. As in  a  uniform heating (or cooling) the curvilinear layers change their lengths in different manure, then it can be supposed that even under small concentration in all direction of the road body are exhibited. At that, for the rectilinear segments of the roads, the stress, normal to the road surface, practically are equal to zero. With the curvature enlargement, the enlargement of tensile normal stress throughout the road length is observed. This lead to enlargement of the probability of the breakaway of the first layer from the second one.

It is shown by numerous calculations that the peak values of the longitudinal ensile forces in the top layer and shear forces localized between the first and second layers can be a cause of the initial road destruction observed in practice and formation of transversal cracks.

Author Biographies

Viktor Gaidaichuk, Kyiv National University of Construction and Architecture

Doctor of Technical Sciences, Head of the Theoretical Mechanics Department 

Oleksandr Gustieliev, Municipal Corporation "Kievavtodor", National Transport University

General Director

Anatolii Radkevich, Dniprovsky Academician V. Lazaryan National University of Railway Transport

Doctor of technical sciences, professor, vice-rector for scientific-pedagogical, economic, innovative and perspective activity

Liudmyla Shevchuk, National Transport University

Candidate of Technical Sciences, Assistant Professor of the Department of Higher Mathematics

Nataliia Shlyun, National Transport University

Candidate of Technical Sciences, Assistant Professor of the Department of Higher Mathematics


Gaydaychuk V.V., Mozgoviy V.V., Zaets Yu. A., Shevchuk L.V. Modeliuvannia napruzheno-deformovanoho stanu konstruktsii dorozhnoho odiahu pid diieiu transportnykh navantazhen (Simulation of the stress-strain state of the construction of road overlay under the influence of transport loads) // Opir materialiv i teoriia sporud  2017. – V. 99, p. 45-57.

Gulyayev V. I., Gaydaychuk V.V., Mozgoviy V.V., Zaets Yu. A., Shevchuk L.V. Doslidzhennia termonapruzhenoho stanu konstruktsii dorozhnoho odiahu (Investigation of the thermo-stressed state of road overlay structures) // Promyslove budivnytstvo ta inzhenerni sporudy – 2017. – No1, p. 6-12.

Gulyayev V. I., Shevchuk L.V., Kutsman O. M. Sezonnyi pererozpodil poliv napruzhen v konstruktsiiakh sharuvatykh pokryttiv dorih pid diieiu transportnykh navantazhen (Seasonal redistribution of stress fields in structures of layered pavements of roads under the influence of transport loads) // Visnyk Natsionalnoho transportnoho universytetu  2018. – V. 40, p. 98-105.

Kovalenko A.D. Osnovyi termouprugosti (Fundamentals of Thermoelasticity). Kyiv: Naukova Dumka, 1970. − 239 P.

Gulyayev V. I., Koshel P. Z., Zaets Yu. A. Mehanika gornyih vyirabotok pri deystvii gravitatsionnyih i dinamicheskih nagruzok: monografiya (Mechanics of mine cavities under the action of gravitational and dynamic loads). Yvano-Frankovsk: Prykarpat. nats. un-ta ym. V. Stefanyka, 2014. − 438 P.

Novatskiy V. Dinamicheskie zadachi termouprugosti (Dynamic problems of thermoelasticity). Moskva: Mir, 1970. − 256 P.

Perelmuter А.V. O vliyanii izmeneniya zhestokostey na pereraspredelenie usiliy v staticheski neopredelimoy sisteme (On the effect of stiffness changes on the redistribution of efforts in a statically indeterminate system)// Stroitelnaia mekhanika i raschet sooruzhenii – 1974. – No 5, p. 64-67.

Perelmuter, А.V., Slyvner, V.Y Raschetnyie medeli sooruzheniy i vozmozhnost ih analiza (Design models of structures and the possibility of their analysis). Moskva: DMK Press, 2007. − 600 P.

Krishnan J.M. Review of the uses and modeling of bitumen from ancient to modern times. American society of mechanical engineers. / J.M. Krishnan, K.R. Rajagopal // Appl Mech Rev. – 2003. 56(2). – P. 149–214.

Litton R.L., Tsai F.L., Lee S.I., Luo R., Hu S., Zhou F. «Models for Predicting Reflection Cracking of Hot-Mix Asphalt Overlays» Research Report 669, Texas Transportation Institute, Texas A&M University, College Station, Texas, 2010. P.61.

Radovskiy B., Teltayev B. Viscoelastic Properties of Asphalts Based on Penetration and Softening Point. Monograph. Springer Nature, Switzerland, 2017. – 107 p.

Yoder E.J. Principles of pavement design. – New York. John Wiley & sons, INC. London. Chapman & Hall, Ltd.