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Thermal Stress State of Layered and Inhomogeneous Pavement

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The problem of the thermoelastic stress–strain states of layered pavements subject to temperature change at night is considered. It is shown that the constitutive equations describing the problem are singularly perturbed. Therefore, the fields of temperatures and stresses are essentially inhomogeneous. The effect of the longitudinal reinforcements on the road strength is studied. It is established that to stabilize the system, the thermomechanical properties of the road materials and reinforcing bar should be compatible.

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References

  1. G. P. Sendeckyj (ed.), Mechanics of Composite Materials, Vol. 2 of the eight-volume series Composite Materials, Academic Press, New York (1974).

  2. A. B. Vasil’eva and V. F. Butuzov, Singularly Perturbed Equations in Critical Cases [in Russian], Izd. MGU, Moscow (1978).

  3. V. I. Gulyaev, P. Z. Lugovoi, V. I. Koshel’, V. G. Kravets, and Yu. A. Zaets, Mechanics of Mine Workings under Gravitational and Dynamic Loads [in Russian], Izd. Prikarpatskogo Nats. Univ. im. V. Stefanika, Ivano-Frankovsk (2014).

  4. A. D. Kovalenko, Basic Thermoelasticity [in Russian], Naukova Dumka, Kyiv (1970).

  5. W. Nowacki, Dynamic Problems of Thermoelasticity [in Russian], Mir, Moscow (1970).

  6. W. Nowacki, Theory of Elasticity [in Polish], PWN, Warsaw (1970).

  7. A. V. Perel’muter and V. I. Slivker, Design Models of Structures and Capabilities for Their Analysis [in Russian], DMK-press, Moscow (2007).

  8. N. Chang and F. Howes, Theory of Elasticity [in Russian], Mir, Moscow (1988).

  9. G. P. Cherepanov, Fracture Mechanics of Composite Materials [in Russian], Nauka, Moscow (1983).

  10. G. I. Shishkin, “Approximation of solutions of singularly perturbed boundary-value problems with a corner boundary layer,” USSR Computational Mathematics and Mathematical Physics, 29, No. 4, 1–10 (1989).

  11. M. E. Babeshko and Yu. N. Shevchenko, “Describing the thermoelastoplastic deformation of compound shells under axisymmetric loading with allowance for the third invariant of the stress deviator,” Int. App. Mech., 46, No. 12, 1362–1371 (2011).

    Article  MathSciNet  Google Scholar 

  12. M. K. Kassir, “Thermal crack propagation,” Trans. ASME. Ser. D, J. Basic Eng., 93, No. 4, 642–648 (1971).

  13. A. Razmi and M. Mirsayar, “Fracture resistance of asphalt concrete modified with crumb rubber at low temperatures,” Int. J. Pav. Res. Tech., 11, No. 3, 265–273 (2018).

    Article  Google Scholar 

  14. G. I. Shishkin, “Method of splitting for singularly perturbed parabolic equations,” East-West J. Numer. Math., 1, No. 2, 147–163 (1993).

    MathSciNet  MATH  Google Scholar 

  15. V. Sadeghi and S. Hesami, “Investigation of load transfer efficiency in jointed plain concrete pavements using FEM,” Int. J. Pav. Res. Tech., 11, No. 3, 245–252 (2018).

    Article  Google Scholar 

  16. B. L. Wang and Y. W. Mai, “Impermeable crack and permeable crack assumptions, which one is more realistic?” J. Appl. Mech., 71, No. 4, 575–578 (2004).

    Article  Google Scholar 

  17. Y. Zhang, P. K. R. Vennapusa, D. J. White, and A. E. Johnson, “Seasonal variations and in situ assessment of concrete pavement foundation mechanistic properties,” Int. J. Pav. Res. Tech., 11, No. 4, 363–373 (2018).

    Article  Google Scholar 

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Correspondence to V. I. Huliaiev.

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Translated from Prikladnaya Mekhanika, Vol. 57, No. 1, pp. 100–114, January–February 2021.

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Huliaiev, V.I., Haidaichuk, V.V., Hustieliev, O.O. et al. Thermal Stress State of Layered and Inhomogeneous Pavement. Int Appl Mech 57, 86–96 (2021). https://doi.org/10.1007/s10778-021-01057-7

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  • DOI: https://doi.org/10.1007/s10778-021-01057-7

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