DOI QR코드

DOI QR Code

Temperature and thermal stress distributions in a hollow circular cylinder composed of anisotropic and isotropic materials

  • 투고 : 2019.06.23
  • 심사 : 2020.02.29
  • 발행 : 2020.03.25

초록

In this article, an analytical solution is presented for the steady-state axisymmetric thermal stress distributions in a composite hollow cylinder. The cylinder is composed of two isotropic and anisotropic materials which is subjected to the thermal boundary conditions of convective as well as radiative heating and cooling on the inner and outer surfaces, respectively. The solution of the temperature is obtained by means of Bessel functions and the thermal stresses are developed using Potential functions of displacement. Numerical results are derived for a cylinder which is similar to a gas turbine combustor and showed that the maximum temperature and thermal stresses (radial, hoop, axial) occurred in the middle point of cylinder and the values of thermal stresses in anisotropic cylinder are more than the isotropic cylinder. It is worthy to note that the values of the thermal conditions which estimated in this research, not to be presented in any other papers but these values are very accurate in calculation.

키워드

과제정보

연구 과제 주관 기관 : University of Kashan

The authors would like to thank the referees for their valuable comments. Also, they are thankful to thank the University of Kashan for supporting this work by Grant No. 682561/5.

참고문헌

  1. Aziz, A. and Torabi, M. (2013), "Thermal stresses in a hollow cylinder with convective boundary conditions on the inside and outside surfaces", J. Thermal. Stress., 36(10), 1096-1111. https://doi.org/10.1080/01495739.2013.818894
  2. Bamdad, M., Mohammadimehr, M. and Alambeigi, K. (2019), "Analysis of sandwich Timoshenko porous beam with temperature-dependent material properties: Magneto-electro-elastic vibration and buckling solution", J. Vib. Control, 25(23-24), 2875-2893. https://doi.org/10.1177/1077546319860314
  3. Barsoum, M.W. (2003), Fundamentals of Ceramics, IOP, Oxford, UK.
  4. Bensaid, I. and Bekhadda, A. (2018), "Thermal stability analysis of temperature dependent inhomogeneous size-dependent nano-scale beams", Adv. Mater. Res., Int. J., 7(1), 1-16. https://doi.org/10.12989/amr.2018.7.1.001
  5. Chen, L.S. and Chu, H.S. (1989), "Transient thermal stresses of a composite hollow cylinder heated by a moving line source", Comput. Struct., 33(5), 1205-1214. https://doi.org/10.1016/0045-7949(89)90459-8
  6. Dejean, T.T. and Mohr, D. (2018), "Elastically-isotropic elementary cubic lattices composed of tailored hollow beams", Extrem. Mech. Lett., 22, 13-18. https://doi.org/10.1016/j.eml.2018.04.005
  7. Eslami, R. and Hetnarski, R.B. (2013), Theory of Elasticity and Thermal Stresses, Springer, New York, USA.
  8. Ghorbanpour Arani, A., Rousta Navi, B. and Mohammadimehr, M. (2016), "Surface stress and agglomeration effects on nonlocal biaxial buckling polymeric nanocomposite plate reinforced by CNT using various approaches", Adv. Compos. Mater., 25(5), 423-441. https://doi.org/10.1080/09243046.2015.1052189
  9. Jin, Zh.H. and Noda, N. (1994), "Transient thermal stress intensity factors for a crack in a semi-infinite plate of a functionally gradient material", Int. J. Solid. Struct., 31(2), 203-218. https://doi.org/10.1016/0020-7683(94)90050-7
  10. Lee, Z. (2005), "Hybrid Numerical Method Applied to 3-D Multilayered Hollow Cylinder with Periodic Loading Conditions", App. Math. Comput., 166, 95-117. https://doi.org/10.1016/j.amc.2004.04.038
  11. Lenkhnitskii, S.G. (1981), Theory of Elasticity of an Anisotropic Body, (2nd edition), MIR publishers, Moscow, Russia.
  12. Liu, Y.J. and Yin, H.M. (2014), "Elastic thermal stresses in a hollow circular overlay/ substrate system", Mech. Research. Commun., 55, 10-17. https://doi.org/10.1016/j.mechrescom.2013.10.002
  13. Mahmoudi, H. and Atefi, G. (2012), "Analytical solution for thermal stresses in a hollow cylinder under periodic thermal loading", Proc. Inst. Mech. Eng., Pt. C: J. Mech. Eng. Sci., 226(7), 1705-1724. https://doi.org/10.1177/0954406211429757
  14. Misra, J.C. and Achari, R.M. (1980), "On Axisymmetric Thermal Stresses in an Anisotropic Hollow Cylinder", J. Thermal. Stress., 3(4), 509-520. https://doi.org/10.1080/01495738008926986
  15. Mohammadimehr, M. and Mehrabi, M. (2017), "Electro-thermo-mechanical vibration and stability analyses of double-bonded micro composite sandwich piezoelectric tubes conveying fluid flow", Appl. Math. Model., 60, 255-272. https://doi.org/10.1016/j.apm.2018.03.008
  16. Mohammadimehr, M. and Mehrabi, M. (2018a), "Stability and free vibration analyses of double-bonded micro composite sandwich cylindrical shells conveying fluid flow", Appl. Math. Model., 47, 685-709. https://doi.org/10.1016/j.apm.2017.03.054
  17. Mohammadimehr, M. and Rostami, R. (2018b), "Bending and vibration analyses of a rotating sandwich cylindrical shell considering nanocomposite core and piezoelectric layers subjected to thermal and magnetic fields", Appl. Math. Mech., 39(2), 219-240. https://doi.org/10.1007/s10483-018-2301-6
  18. Mohammadimehr, M., Navi, B.R. and Arani, A.G. (2017), "Dynamic stability of modified strain gradient theory sinusoidal viscoelastic piezoelectric polymeric functionally graded single-walled carbon nanotubes reinforced nanocomposite plate considering surface stress and agglomeration effects under hydro-thermoelectro-magneto-mechanical loadings", Mech. Adv. Mater. Struct., 24(16), 1325-1342. https://doi.org/10.1080/15376494.2016.1227507
  19. Moosaie, A. (2016), "A nonlinear analysis of thermal stresses in an incompressible functionally graded hollow cylinder with temperature-dependent material properties", Europ. J. Mech. A/Solid., 55, 212-220. https://doi.org/10.1016/j.euromechsol.2015.09.005
  20. Namayandeh, M.J., Mohammadimehr, M. and Mehrabi, M. (2019), "Temperature distribution of ceramic panels of a V94.2 gas turbine combustor under realistic operation conditions", Adv. Mater. Res., Int. J., 8(2), 117-135. https://doi.org/10.12989/amr.2019.8.2.117
  21. Rajabi, J. and Mohammadimehr, M. (2019), "Hydro-thermo-mechanical biaxial buckling analysis of sandwich micro-plate with isotropic/orthotropic cores and piezoelectric/polymeric nanocomposite face sheets based on FSDT on elastic foundations", Steel. Compos. Struct., Int. J., 33(4), 509-523. https://doi.org/10.12989/scs.2019.33.4.509
  22. Shahedi, S. and Mohammadimehr, M. (2019), "Vibration analysis of rotating fully-bonded and delaminated sandwich beam with CNTRC face sheets and AL-foam flexible core in thermal and moisture environments", Mech. Based. Design. Struct. Mach., pp. 1-31. https://doi.org/10.1080/15397734.2019.1646661
  23. Shahedi, S. and Mohammadimehr, M. (2020), "Nonlinear high-order dynamic stability of AL-foam flexible cored sandwich beam with variable mechanical properties and carbon nanotubes-reinforced composite face sheets in thermal environment", J. Sandw. Struct. Mater., 22(2), 248-302. https://doi.org/10.1177/1099636217738908
  24. Xue, Z.N., Chen, Z.T. and Tian, X.G. (2018), "Transient thermal stress analysis for a circumferentially cracked hollow cylinder based on memory-dependent heat conduction model", Theory. Appl. Frac. Mech., 96, 123-133. https://doi.org/10.1016/j.tafmec.2018.04.008
  25. Yaragal, S.C. and Ramanjaneyulu, S. (2016), "Exposure to elevated temperatures and cooled under different regimes-a study on polypropylene concrete", Adv. Mater. Res., Int. J., 5(1), 21-34. https://doi.org/10.12989/amr.2016.5.1.021
  26. Yee, K.C. and Moon, T.J. (2002), "Plane thermal stress analysis of an orthotropic cylinder subjected to an arbitrary, transient, asymmetric temperature distribution", ASME, J. App. Mech., 69, 632-640. https://doi.org/10.1115/1.1491268
  27. Zenkour, A.M. (2014), "Exact solution of thermal stress problem of an inhemogeneous hydgrothermal piezoelectric hollow cylinder", Appl. Math. Model., 38, 6133-6143. https://doi.org/10.1016/j.apm.2014.05.028
  28. Zibdeh, H.S. and Al Farran, J.M. (1995), "Stress analysis in composite hollow cylinders due to an asymmetric temperature distribution", J. Pressure. Vessel. Tech., 117, 59-65. https://doi.org/10.1115/1.2842091