Article

Received 11.04.2024

Revised 10.05.2024

Accepted 29.06.2024

Retrieved from Vol. 28, No. 1 2024

Pages 190 -196

Shevchuk, L., & Zaiets, Yu. (2024). On negative thermomechanical effects in grain composites. The National Transport University Bulletin, 28(1), 190-196. https://doi.org/10.33744/2308-6645-2024-1-58-190-196

On negative thermomechanical effects in grain composites

Lyudmila Shevchuk Yuliia Zaiets

The problem of the initiation of additional internal thermal stresses in a composite material with a granular filler under the influence of temperature has been posed. Using the spherical inclusion model used in the theory of composites, resolving equations are formulated, and their analytical solutions are constructed in a closed form. It is shown that the internal thermal stresses arising in the system are of a localized nature, proportional to the value of the elastic module of the materials of each phase and the difference between their coefficients of linear thermal expansion, and decrease in inverse proportion to the cube of the radial coordinate. With the help of specific applied examples, it has been established that even with a sufficiently small change in temperature, these stresses can reach limit values that contribute to the initiation of hidden internal localized defects and cracks in the system

granular composite; spherical filler; coated sphere; thermomechanical incompatibility; defect formation; floor sphere
  1. Huliaiev V.I., Haidachuk V.V., Hustieliev O.O., Shevchuk L.V. Termonapruzhenyi stan sharuvatonednoridnykh dorozhnikh pokryttiv. Prykladna mekhanika 2021. – 57, №1 – 100-114 s.
  2. Baumeister E., Klaeger S., Kaldos A. Characterization and application of hollow-sphere composite lightweight materials // JMDASZ, Proc. IMechE Part L: J. Materials. Design and Applications, IMechE. – 2005, 219. – Pp. 207–216.
  3. Beleicheva T.G. and Ziling K.K. Thermoelastic axisymmetric problem for a two-layer cylinder // J. Appl. Mech. Technical Physics. – 1978. – V. 19. – Pp. 108–113.
  4. Carlson D.E. Thermoelasticity, Encyclopedia of Physics, Vol. Via/2 (ed. Trusdell C.), Springer, Berlin, 1972, pp. 297–345.
  5. Christian Karch. Micromechanical Analysis of thermal expansion coefficients // Modeling and Numerical Simulation of Material Science. – 2014, V. 4, № 3. – Pp. 1–15.
  6. Christiansen R.M. Mechanics of Composite Materials; Wiley: New York, NY, USA, 1979, 348 p.
  7. Christensen R.M., Lo K.H. Solutions for effective shear properties in three-phase sphere and cylinder models // J. Mech. Phys. Solids. – 1979. – V. 27. – Pp. 315–330.
  8. Kovalenko A.D. Thermoelasticity: Basic Theory and Applications, Wolters-Noordhoff, Groningen: The Netherlands, 1972.
  9. Nowacki W. Thermoelasticity, 2nd ed. Oxford: PWN – Polish Scientific Publishers, Warsaw and Pergamon Press, 1986.

https://doi.org/10.33744/2308-6645-2024-1-58-190-196