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Analyses of elastic limit heat loads in thick walled tubes subjected to periodic surface temperatures: analytical treatment

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Analytical solutions are derived to analyze elastic limit heat loads in tubes subjected to periodic surface temperatures. The tube is initially at zero temperature and for the times greater than zero one of the surfaces of the cylinder is subject to a periodic boundary condition while the other surface is insulated. For the transient temperature distribution, the heat conduction equation is solved by using Duhamel’s theorem. The uncoupled theory of thermoelasticity is used as the cylinder is heated or cooled slowly. Tresca’s yield criterion is used to monitor the yielding of the tube. The generalized plane strain condition is assumed. It is observed that yielding always occurs at the surface subject to a periodic boundary condition. It is also observed that, depending on the material properties of the tube and the amplitude of the boundary condition, yielding commences with different stress states.
Rocznik
Strony
37--53
Opis fizyczny
Bibliogr. 23 poz., rys.
Twórcy
autor
  • Faculty of Engineering Department of Mechanical Engineering Gazi University Ankara. Turkey
  • Department of Engineering Sciences METU Ankara, Turkey
Bibliografia
  • 1. D.W.A. Rees, The Mechanics of Solids and Structures, McGraw-Hill, London, New York, 1990.
  • 2. S. Timoshenko, J.N. Goodier, Theory of Elasticity, McGraw-Hill, New York, 1970.
  • 3. R.B. Hetnarski, M.R. Eslami, Thermal Stresses – Advanced Theory and Applications, Springer, Netherlands, 2009.
  • 4. A. Kandil, A.A. El-Kady, A. El-Kafrawy, Transient thermal stress analysis of thickwalled cylinders, International Journal of Mechanical Sciences, 37, 721–732, 1995.
  • 5. A. Kandil, Analysis of thick-walled cylindrical pressure vessels under the effect of cyclic internal pressure and cyclic temperature, International Journal of Mechanical Sciences, 38, 1319–1332, 1996.
  • 6. Y. Sun, X. Zhang, Transient heat transfer of a hollow cylinder subjected to periodic boundary conditions, Journal of Pressure Vessel Technology, 137, 5, 2348–2351, 2015.
  • 7. M.N. Ozisik, Heat Conduction, John Wiley, New York, 1980.
  • 8. A.E. Segall, Thermoelastic analysis of thick-walled vessels subjected to transient thermal loading, Journal of Pressure Vessel Technology, 123, 1, 146–149, 2001.
  • 9. A.E. Segall, Transient analysis of thick-walled piping under polynomial thermal loading, Nuclear Engineering and Design, 226, 183–191, 2003.
  • 10. G. Atefi, M.A. Abdous, A. Ganjehkaviri, Analytical solution of temperature field in hollow cylinder under time dependent boundary condition using Fourier series, American Journal of Engineering and Applied Sciences, 1, 2, 141–148, 2008.
  • 11. X. Lu, P. Tervola, M. Viljanen, Transient analytical solution to heat conduction in composite circular cylinder, International Journal of Heat and Mass Transfer, 49, 1, 2, 341–348, 2006.
  • 12. H. Mahmoudi, G. Atefi, Analytical solution for thermal stresses in a hollow cylinder under periodic thermal loading, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 226 7, 1705–1725, 2012.
  • 13. V. Radu, N. Taylor, E. Paffumi, Development of new analytical solutions for elastic thermal stress components in a hollow cylinder under sinusoidal transient thermal loading, International Journal of Pressure Vessels and Piping, 85, 885–893, 2008.
  • 14. S.-Y. Lee, C.-C. Huang, Analytic solutions for heat conduction in functionally graded circular hollow cylinders with time-dependent boundary conditions, Mathematical Problems in Engineering, Hindawi Publishing Corporation, Article ID 816385.
  • 15. Y. Kaya, A.N. Eraslan, Thermoelastic response of a long tube subjected to periodic heating, Mathematical Sciences and Applications E-Notes, 2, 1, 14–27, 2014.
  • 16. T.-W. Tu, S.-Y. Lee, Analytical solution of heat conduction for hollow cylinders with time-dependent boundary condition and time-dependent heat transfer coefficient, Journal of Applied Mathematics, Hindawi Publishing Corporation, Article ID 203404, 2015.
  • 17. A.N. Eraslan, T. Apatay, Analytical solution to thermal loading and unloading of a cylinder subjected to periodic surface heating, Journal of Thermal Stresses, 39, 8, 928–941, 2016.
  • 18. B. Takabi, Thermomechanical transient analysis of a thick-hollow FGM cylinder, Engineering Solid Mechanics, 4, 25–32, 2016.
  • 19. V.R. Manthena, N.K. Lamba, G.D. Kedar, Thermoelastic analysis of a nonhomogeneous hollow cylinder with internal heat generation, Applications and Applied Mathematics: An International Journal (AAM), 12, 2, 946–967, 2017.
  • 20. P. Ayoubi, A. Alibeigloo, Three-dimensional transient analysis of FGM cylindrical shell subjected to thermal and mechanical loading, Journal of Thermal Stresses, 40, 9, 1166–1183, 2017.
  • 21. V.R. Manthena, G.D. Kedar, Transient thermal stress analysis of a functionally graded thick hollow cylinder with temperature-dependent material properties, Journal of Thermal Stresses, https://doi.org/10.1080/01495739.2017.1402669, 2017.
  • 22. A. Najibi, R. Talebitooti, Nonlinear transient thermo-elastic analysis of a 2D-FGM thick hollow finite length cylinder, Composites Part B, 111, 211–217, 2017.
  • 23. M.R. Spiegel, Mathematical Handbook, Mc Graw-Hill, London, New York, 1990.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-8b6ef49e-8f19-4b40-81ca-88b593abff90
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