Creep Behavior of Cylinders Subjected to an Internal Pressure and a Two Dimensional Temperature Field Using First Order Shear Deformation Theory

محورهای موضوعی : Mechanics of Solids

H Seddighi ¹ , Mehdi Ghannad ² , Abbas Loghman ³

1 - Department of Solid Mechanics, Faculty of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran
2 - Department of Solid Mechanics, Faculty of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran
3 - 2Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran

تاریخ دریافت : 1402/03/25 تاریخ پذیرش : 1402/05/22 تاریخ انتشار : 1402/06/10

کلید واژه: Stress, Pressure, displacement, Heat Flux, Cylinder,

چکیده مقاله :

In this paper, the creep analysis in a thick-walled cylinder subjected to internal pressure and heat flux at the inner and outer surfaces has been investigated. The displacement field is obtained based on the first-order shear deformation theory and the thermal field is assumed two-dimensional through the thickness and along cylinder whose in radial direction the thermal field is considered linear. The equilibrium equations of the mechanical and thermal fields were derived using the energy method and the principle of virtual work for mechanical loading and heat flux. The creep behavior is described by Bailey-Norton’s time-dependent creep law. Analytical solutions with iteration methods have been used to obtain the stresses, strains, and displacement. The relationship between the temperature and the creep deformation was investigated by examining changes in the radial displacement by increasing the temperature by two to three times at a specific point. The effects of parameters such as pressure, heat flux and radial displacement at different temperatures on stress distribution were discussed. It was shown the circumferential stress accounts for the most changes caused by creep behavior. The presented method provides a semi-analytical solution to investigate the creep behavior of the thick-walled cylinders, which can be used for purposes such as designing and their optimization and parametric study under real temperature loading conditions.

چکیده انگلیسی:

In this paper, the creep analysis in a thick-walled cylinder subjected to internal pressure and heat flux at the inner and outer surfaces has been investigated. The displacement field is obtained based on the first-order shear deformation theory and the thermal field is assumed two-dimensional through the thickness and along cylinder whose in radial direction the thermal field is considered linear. The equilibrium equations of the mechanical and thermal fields were derived using the energy method and the principle of virtual work for mechanical loading and heat flux. The creep behavior is described by Bailey-Norton’s time-dependent creep law. Analytical solutions with iteration methods have been used to obtain the stresses, strains, and displacement. The relationship between the temperature and the creep deformation was investigated by examining changes in the radial displacement by increasing the temperature by two to three times at a specific point. The effects of parameters such as pressure, heat flux and radial displacement at different temperatures on stress distribution were discussed. It was shown the circumferential stress accounts for the most changes caused by creep behavior. The presented method provides a semi-analytical solution to investigate the creep behavior of the thick-walled cylinders, which can be used for purposes such as designing and their optimization and parametric study under real temperature loading conditions.

منابع و مأخذ:

1. Loghman A., Shokouhi N., 2009, ­Creep damage evaluation of thick-walled spheres using a long-term creep constitutive model, Journal of Mechanical Science and Technology23(10): 2577-2582.


2. Chen J.J., Tu S.T., Xuan F.Z., Wang Z.D., 2007, Creep analysis for a functionally graded cylinder subjected to internal and external pressure, The Journal of Strain Analysis for Engineering Design 42(2): 69-77.


3. Samaisim G.F., Bidgoli M., 2022, Review of thermoelastic thermal properties and creep analysis of functionally graded cylindrical shell, Australian Journal of Mechanical Engineering, doi:1080/14484846.2022.2100045.


4. Jahed H., Bidabadi J., 2003, An axisymmetric method of creep analysis for primary and secondary creep, International Journal of Pressure Vessels and Piping 80(9): 597-606.


5. Mangel S.K., Kapoor N., Singh T., 2013, Steady-state creep analysis of functionally graded rotating cylinder, Strain 49(6): 457-466.


6. Jones N., Sullivan P. F., 1976, On the creep buckling of a long cylindrical shell, International Journal of Mechanical Science 18(5): 209-213.


7. Stowell E.Z., Gregory R. K., 1965, Steady-state biaxial creep, Journal of Applied Mechanics 32: 37-42.


8. King R.H., Mackie W., 1967, Creep of thick-walled cylinders, Journal of Basic Engineering 89: 877-884.


9. Gupta S. K., Dharamani R. L., Rana V. D., 1979, Creep transition in torsion, International Journal Non-linear Mechanics 13(5): 303-309.


10. Murakami S., Iwatsuki S., 1970, Steady state creep of circular cylindrical shells, Bulletin of JSME 14(73): 615-623.


11. Bhatnagar N.S., Kulkarni P.S., Arya V.K., 1984, Creep analysis of an internally pressurized orthotropic rotating cylinder, Nuclear Engineering and Design 83(3): 379-388.


12. Loghman A., Wahab M.A., 1996, Creep damage simulation of thick-walled tubes using the projection concept, International Journal of Pressure Vessels and Piping 67(1): 105-111.


13. You L.H., Ou H., Zheng Z.Y., 2007, Creep deformation and stresses in thick-walled cylindrical vessels of functionally graded material subjected to internal pressure, Composite Structure 78(2): 285-291.


14. Altenbach H., Gorash Y., Naumenko K., 2008, Steady-state creep of a pressurized thick cylinder in both the linear and the power law ranges, Acta Mechanica 195: 263-274.


15. Loghman A., AtabakhshianV., 2012, Semi-analytical solution for time-dependent creep analysis of rotating cylinder made of anisotropic exponentially graded material (EGM), Journal of Solid Mechanics 14: 313-326.


16. Thakur P., 2013, Creep transition stresses of orthotropic thick-walled cylinder under combined axial load under internal pressure, Facta Universitatis Series Mechanical Engineering11(1): 13-18.


17. Moradi M., Loghman A., 2018, Non-axisymmetric time-dependent creep analysis in a thick-walled cylinder due to the thermo-mechanical loading, Journal of Solid Mechanics 10(4): 845-863.


18. Loghman A., Askari Kashan A., Younesi Bidgoli M., Shajari A.R., Ghorbanpour Arani A., 2013, Effect of particle content, size and temperature on magneto-thermo-mechanical creep behavior of composite cylinders, Journal of Mechanical Science and Technology 27(4): 1041-1051.


19. Ahmad J., Wahab M. A., 2015, Thermoelastic and creep analysis of a functionally graded rotating cylindrical vessel with internal heat generation, World Journal of Engineering 12: 517-532.


20. Thakur P., Gupta N., Singh S. B., 2017, Creep strain rates analysis in cylinder under temperature gradient materials by using Seth’s theory, Engineering Computations 34(3): 1020-1030.


21. Kashkoli M.D., Tahan Kh. N., 2017, Time dependent thermomechanical creep behavior of FGM thick hollow cylindrical shells under non-uniform internal pressure, International Journal of Applied Mechanics 9: 1750086-1750112.


22. Kashkoli M. D., Tahan Kh. N., Zamani-Nejad M., 2018, Thermo-Mechanical creep analysis of FGM thick cylindrical pressure vessels with variable thickness, International Journal of Applied Mechanics 10(1): 1850008-1850045.


23. Kashkoli M.D., Tahan Kh N., 2017, Time dependent creep analysis for life assessment of cylindrical vessels using first order shear deformation theory, Journal of Mechanics 33(4): 461-474.


24. Ghannad M., Parkizkar Yaghoobi M., 2015, A thermoelectricity solution for thick cylinders subjected to thermos-mechanical loads under various boundary condition, International Journal of Advanced Design and Manufacture Technology 8(4): 1-13.


25. Ghannad M., Parkizkar Yaghoobi M., 2016, 2D thermo elastic behavior of a FG cylinder under thermomechanical loads using a first order temperature theory, International Journal of Pressure Vessels and Piping 149: 75-92.


26. Tzou H. S., Bao Y., 1995, A theory on anisotropic piezothermoelastic shell laminates with sensor/actuator applications, Journal of Sound and Vibration 184(3): 453-473.


27. Yang Y.Y., 2000, Time-dependent stress analysis in functionally graded materials, International Journal of Solids and Structures 37(51): 7593-7608.