SINGULARLY PERTURBED PROBLEMS OF THERMO-MECHANICS OF LAYERED ROAD COATINGS

ABSTRACT

Shlyun N.V., Bilobrytska O.I. Singularly perturbed problems of thermo-mechanics of layered road coatings. Visnyk National Transport University. Series «Technical sciences». Scientific and Technical Collection. - Kyiv: National Transport University, 2020. - Issue 1 (46).

The problem of singular perturbation of the equations of elastic bending of layered pavements and thermal conductivity is discussed. It is shown that the complexity of solving these equations significantly exceeds the complexity of singularly perturbed equations known in the scientific literature. First, this is due to the fact that in the problems of road construction, the mechanics of elastic bending are described by the partial differential equations, and the integration domain reaches large dimensions.

The problem of thermal deformation of the pavement and distribution in its array of temperature, displacement, and stress fields is also considered. It is proved that thesolution of the problemof thermal conductivity has the appearance of a boundary effect, localized in the elements of the coating adjacent to its free surface.Also is noted that high-gradient temperature distribution deep in the soil leads to large values of normal and tangential stresses that provoke cracking and delamination of the upper layers of the coating. They are confirmed by the results of computer simulation.

KEYWORDS: SINGULARLY PERTURBED PROBLEM, LAYERED ROAD COVERING, TEMPERATURE FIELD, TRANSPORT LOAD, STRESS FIELD, THERMAL STRAIN STATE.

REFERENCES

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J.Numer. Math., 1(2), 147 - 163.

AUTHOR

Shlyun N.V., Ph.D., National Transport University, tel. +38(044) 280-71-09, Ukraine, 01103, Kyiv, Boichuk str., 42, e-mail: nataliyashlyun@gmail.com, orcid.org/0000-0003-1040-8870

Bilobrytska O.I., Ph.D, National Transport University, tel. +38(044) 280-71-09, Ukraine, 01103, Kyiv, Boichuk str., 42. e-mail: olenkab@ukr.net, orcid.org/0000-0002-6751-6592.

REVIEWER

Gaidaichuk V.V., Dr. Sc. (Engineering), Professor, Kyiv National University of Structures and Architecture, Head of Department of Theoretical Mechanics, Kyiv, Ukraine.

Loza I.A., Dr. Sc. (Physics and Mathematics), Professor, National Transport University, Head of Department of Theoretical and Aplied Mechanics, Kyiv, Ukraine.

Article language: Ukrainian

Open Access: http://publications.ntu.edu.ua/visnyk/46/455.pdf

Print date: 15.04.2020

Online publication date: 27.10.2020

 

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