Acknowledgement
Supported by : 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.
References
- 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
- 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
- Barsoum, M.W. (2003), Fundamentals of Ceramics, IOP, Oxford, UK.
- 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
- 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
- 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
- Eslami, R. and Hetnarski, R.B. (2013), Theory of Elasticity and Thermal Stresses, Springer, New York, USA.
- 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
- 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
- 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
- Lenkhnitskii, S.G. (1981), Theory of Elasticity of an Anisotropic Body, (2nd edition), MIR publishers, Moscow, Russia.
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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