View the article in PDF: Шевчук, Білобрицька, Гринчак
© Liudmyla Shevchuk, Ph. D., Senior Lecturer, Department of mathematics,
e-mail: ludmilashevchuk25@gmail.com,
ORCID: 0000-0002-5748-9527;
© Olena Bilobrytska, Ph. D., Senior Lecturer, Department of mathematics,
e-mail: o.bilobrytska@ntu.edu.ua,
ORCID: 0000-0002-6751-6592;
© Ilona Hrynchak, Assistant, Department of road building materials and chemistry,
e-mail: ilonaborovyk@ukr.net,
ORCID: 0000-0002-8382-3824
(National Transport University)
INFLUENCE OF INCOMPATIBILITY OF THERMOMECHANICAL PARAMETERS OF THE BEARING LAYERS OF A BRIDGE STRUCTURE ON ITS THERMO-STRESSED STATE
DOI: 10.33868/0365-8392-2021-4-268-71-78
Abstract. On the basis of the theory of thermoelasticity, the problem of the thermally stressed state of a two-layer fragment of a bridge structure, consisting of a metal base and an asphalt-concrete upper layer, under conditions of a change in the ambient temperature at different values of the coefficients of thermal linear expansion of the layers is considered. Using the finite element method, the fields of thermal stresses, deformations and displacements are constructed for various values of the thermomechanical characteristics of the layers. The analysis of the influence of the values of thermomechanical parameters on the stress-strain state of the system is carried out. It is shown that with an increase in the incompatibility of these characteristics, the intensities of stresses and strains increase. The zones of concentration of these functions are found. It is recommended to use materials with close values of their thermomechanical parameters when designing bridges to avoid their premature destruction.
Keywords: two-layer bridge structure, incompatibility of thermomechanical parameters, thermal stress fields, finite element analysis.
References
1. Gulyayev, V. I., Gaydaychuk, V. V., Mozgovyy, V. V., Zayets, Yu. A., Shevchuk, L. V. Termopruzhnyi stan bahatosharovykh dorozhnikh pokryttiv // Monohrafiia – K. : NTU, 2018. – 272 p.
2. Gaydaychuk, V. V., Mozgovyy, V. V., Gustyelyev, O. O., Shevchuk, L. V. Analiz deformuvannia dorozhnoho pokryttia na metaleviiy plyti pivdennoho mosta // Promyslove budivnytstvo ta inzhenerni sporudy. – 2019. – No 1. – P. 31–39.
3. Gaydaychuk, V. V., Mozgovyy, V. V., Zayets, Yu. A., Shevchuk, L.V. Modeliuvannia napruzheno-deformovanoho stanu konstruktsiyi dorozhnoho odiahu pid diyeyu transportnykh navantazhen //Opir materialiv i teoriya sporud. – 2017. – V. 99 – P. 45–57.
4. Gaydaychuk, V. V., Mozgovyy, V. V., Zayets, Yu. A., Shevchuk, L.V. Chyselne modeliuvannia termonapruzhenoho stanu sharuvatoho pokryttia avtomobilnoyi dorohy //Opir materialiv i teoriya sporud. – 2017. – V. 98 – P.56–73.
5. Gulyayev, V. I., Gaydaychuk, V. V., Mozgovyy, V. V., Zayets, Yu. A., Shevchuk, L. V. Doslidzhennia termonapruzhenoho stanu konstruktsiy dorozhnoho odiahu // Promyslove budivnytstvo ta inzhenerni sporudy. – 2017. – No 1. – P. 6-12.
6. Gulyayev, V. I., Shevchuk, L. V., Kutsman, O. M. Sezonnyy pererozpodil poliv napruzhen v konstruktsiyakh sharuvatykh pokryttiv dorih pid diyeyu transportnykh navantazhen //Visnyk Natsionalnoho transportnoho universytetu, 2018. – V. 40. − P. 98−105.
7. Dmytrenko, Yu. I. Mekhanika kompozytnykh konstruktsiy pry vysokykh temperaturakh (Mechanics of composite structures at high temperatures) / Yu.I. Dmytrenko// – Fizmatlit, 2018. – 442 p.
8. Kucher, N. K. Prohnozirovaniye kharakteristik upruhosti sloistykh odnonapravlennykh uhleplastikov pri povyshennykh tyempyeraturakh (Prediction of the elastic characteristics of unidirectional laminated carbon plastics at elevated temperatures) / N.K. Kucher, R.A. Ryazanov // Visnyk NTUU «KPI», seriya Mashynobuduvannia, 2016. – №3 (78). – P.5-11.
9. Radovskiy, B., Mozgovoy, V. Ways to reduce low temperature cracking in Asphalt Pavements. / B. Radovskiy, V. Mozgovoy //In: 4th Eurobitume Symposium, Madrid. – 1989.
10. Yoder E. J. Principles of pavement design.// – New York. John Wiley & sons, INC. London. Chapman & Hall, Ltd. 1991.
11. Huliaiev, V. I., Haidaichuk, V. V., Hustieliev, O. O., Shevchuk, L. V. Thermal Stress State of Layered and Inhomogeneous Pavement // International Applied Mechanics, 2021. – Vol. 57, №1. – P. 86–96.
12. Gaydaychuk, V. V., Mozgovyy, V. V., Zayets, Yu. A. Certain Mechanisms of Thermostress Field Variations in Layered Pavement Structures // Strength of Materialsthis, 2020. – 52(6). – P. 930–938.
13. Kovalyev, Ya. N. Avtomobilnyye dorohi //– Minsk: Art Dizain, 2006, 352 с.
14. Radovskiy, B.S. Problemy mekhaniki dorozhno-stroitelnykh materialov i dorozhnykh odezhd //– K: Polyhraf Konsaltynh, 2003, 252 p.
15. Sendecki, J. Myekhanika kompozitnykh matyerialov //– T.2.M.: Mir, 1978, 566 p.
16. Tyeltayev, B. B. Deformatsii i napryazhyeniyia v nezhyestkikh konstruktsiyakh dorozhnykh odezhd //– Almata: Kazakhskaiya akadyemiiya transporta i kommunikatsiy im. M.Tynyshbayeva, 1999, 217 p.
17. Chang, N., Howes, F. Nyelinyeynyye sinhuliarno vozmushchyennyye krayevyye zadachi (//– M.: Mir, 1988, 247 p.
18. Bahia, H. U., Zeng, M., Nam, K. Consideration of strain at failure and strength in prediction of pavement thermal cracking // J AAPT. – 2000. – 69. – P. 497–535.
19. Bouldin, M. G., Dongré, R., Rowe, G.M., Sharrock, M. J., Anderson, D. A. Predicting thermal cracking of pavements from binder properties // AAPT. – 2000. – 69. – P. 455–496.
20. Chen, E. Y., Pan, G.E., Norfolk, T. S., Wang, O. Surface loading of a multilayered viscoelastic pavement. //– Road Mat Pav Des 12:849–874 (2011)
21. Herve, D. B., Louis, F. Mechanical tests for bituminous materials. Recent improvements and future prospects // – Proceedings of the Fifth international RILEM Symposium MTBM LYON 97/France/14-16 MAI 1997. – P. 353–355.
22. Molenaar, A. A., Li, N. Prediction of compressive and tensile strength of asphalt concrete // Int J Pav Res Tech. – 2014. – 7. – P. 324–331.
23. Mozgovyy, V. V., Onishchenko, A. M., Riznichenko, O. S. Metodyka proektuvannia asfaltobetonnykh shariv znosu dlia miskykh umov // Visnyk, 2010. – Chast.1. – P. 46–50.
24. Mozgovyy, V. V. Povysheniye hidroyizoliatsionnoyi sposobnosti asfaltobyetonnoho pokrytiiya // Problemy mekhaniki i stroityelstva transportnykh sooruzhyeniy: Trudy II Mezhdunarodnoy nauchno-prakticheskoy konfyeryentsii. Almaty– 2015. – 54–60 p.
25. Kovalenko, A. D. Osnovy tyermoupruhosti. – K: Naukova Dumka, 1970, 239 p.
26. Novatsky, V. Dinamicheskiye zadachi //– M.: Mir, 1970, 256 p.
27. Pyeryelmuter, A.V., Slivker, V.I. Rashchyetnyye modyeli sooruzhyeniy y vozmozhnost ikh analiza //– M.: DMK Press, 2007, 600 p.