Article

Received 30.09.2022

Revised 18.03.2023

Accepted 30.03.2023

Retrieved from Vol. 27, No. 1, 2023

Pages 323 -334

Shlyun, N., Bilobrytska, О., Zaiets, Yu., & Shevchuk, L. (2023). Conditions of absence and three mechanisms of generation of thermal stresses in elastic bodies. The National Transport University Bulletin, 27(1), 323-334. https://doi.org/10.33744/2308-6645-2023-1-55-323-334

Conditions of absence and three mechanisms of generation of thermal stresses in elastic bodies

Nataliia Shlyun О. Bilobrytska Yuliia Zaiets Lyudmila Shevchuk

A distinctive feature of the phenomenon of the emergence of thermal stresses in elastic bodies and structures, as a rule, is due not to the fact that when their temperature changes and they are deformed, but to the fact that they cannot be freely deformed. So, if the body is homogeneous and no external constraints are imposed on its displacements, then at a constant or linearly changing along spatially variable temperature, the thermal stress in it is equal to zero. Three mechanisms of thermal stress generation are singled out in the work: external, internal and gradient. An external mechanism takes place when external restrictions are imposed on the movements of the body. The internal mechanism is found in systems with non-uniform thermomechanical properties: in composites, in road and bridge coatings. The gradient mechanism is realized with rapid changes in temperature fields in time and space. The paper analyzes the manifestation of the conditions for the absence of thermal stresses, as well as the mechanisms of their generation in the construction of road and bridge pavements. The issues of reducing these stresses are discussed.

 

thermal stress; composite materials; elastic bodies; road coatings; thermal destruction
  1. Bohomolov V. О., Zhdaniuk V. К., Bohomolov S. V. (2011). Shchodo kryteriiv mitsnosti dlia dorozhnikh odiahiv nezhorstkoho typu [Regarding durability criteria for non-rigid road clothing]. Avtoshliakhovyk Ukrainy – Road Builder of Ukraine, 5, 29–33 [in Ukrainian].
  2. Huliaiev V. I., Haidachuk V. V., Mozghovyi V. V., Zaiets Yu. O., Shevchuk L. V., Shliun N. V. (2018). Termopruzhnyi stan bahatosharovykh dorozhnikh pokryttiv [Thermoelastic state of multilayer pavements]. K: NTU, 252 [in Ukrainian].
  3. Shliun N. V., Zaiets Yu. O. (2022). Pro vnutrishnii mekhanizm termoposhkodzhen v armovanykh kompozytakh z termomekhanichnoiu nesumisnistiu yikh faz [The internal mechanism of thermal damage in reinforced composites with hydromechanical incompatibility of their phases]. Visnyk Natsionalnoho transportnoho universytetu. Seriia «Tekhnichni nauky». Naukovyi zhurnal – Bulletin of the National Transport University. Series «Technical Sciences». Scientific Journal, 3(53), 427–432 [in Ukrainian].
  4. Carlson D. E. (1972). Thermoelasticity. Encyclopedia of Physics. V. VIa/2, ed. Trusdell C. Berlin: Springer.
  5. Christensen R. M., Lo K. H. (1979). Solutions for effective shear properties in three-phase sphere and cylinder models. J. Mech. Phys. Solids, 27, 315–330.
  6. Elwardany M. D., King G., Planche J. P., Rodezno C., Christensen D., Fertig Ill R. S., Kuhn K. H., Bhuiyan F. H. (2019). Internal restraint damage mechanism for age-induced pavement surface damage. Asphalt Paving Technol: J. Assoc. Asphalt Paving Technol, 88.
  7. Fatima-Ezzahra El Mabchour, Abouchadi H., Mohamed Zeriab Es-Sadek, Taha-Janan M. (2020). Theoretical and Numerical Contribution for Prediction of the Mechanical Properties of a Randomly Distributed Reinforcement in the Matrix. International Review of Mechanical Engineering, 14(5), 303–309. https://doi.org/10.15866/ireme.v14i5.19150
  8. Gulyayev V. I., Mozgovyi V. V., Shlyun N. V., Shevchuk L. V. (2022). Modelling negative thermomechanical effects in reinforced road structures with thermoelastic incompatibility of coating and reinforcement materials. Systemni doslidzhennia ta informatsiini tekhnolohii – Systems Research and Information Technology, 2, 117–127. https://doi.org/10.20535/SRIT.2308-8893.2022.2.09
  9. Hetnarsky R. B., Eslami M. R. (2009). Thermal Stresses ─ Advanced Theory and Applications. Solid Mechanics and its Applications 158. Springer Science Business Media B.V., 579.
  10. Hetnarski R. B., Ignaczak J. (2004). Mathematical Theory of Elasticity. New York: Taylor and Francis, 821.
  11. Ju J. W., Chen T. M. (1994). Effective elastic moduli of two-phase composites containing randomly dispersed spherical inhomogeneities. Acta Mech, 103(1), 123–144.
  12. Kovalenko A. D. (1972). Thermoelasticity: Basic Theory and Applications. The Netherlands: Wolters-Noordhoff Groningen.
  13. Marcela Fiedlerova, Petr Jisa, Kamil Stepanek (2021). Using various thermal analytical methods for bitumen characterization. International Journal of Pavement Research and Technology, 14(4), 459–465.
  14. Michael Elwardany, Jean-Pascal Planche, Gayle King (2020). Universal and practical approach to evaluate asphalt binder resistance to thermally-induced damage. Construction and Building Materials, 255, 119331, 1–18.
  15. Miller W., Smith S. W., Mackenzie D. S., Ewans K. E. (2009). Negative Thermal Expansion: a Review. Journal of Material Science, 44, 5441–5451.
  16. Nowacki W. (1986). Thermoelasticity. 2nd ed. Oxford: PWN – Polish Scientific Publishers, Warsaw and Pergamon Press.
  17. Takenaka K. (2012). Negative Thermal Expansion Materials: Technological Key for Control of Thermal Expansion. Science and Technology of Advanced Materials, 13, 1–11.

https://doi.org/10.33744/2308-6645-2023-1-55-323-334