V. V. Nazarov

A MODEL OF DESCRIBING CREEP STRAINS AND POROSITY EVOLUTION FOR A HOLLOW CYLINDER AFFECTED BY INTERNAL GAS PRESSURE

Two plane-strain states of two identical hollow cylinders are considered, where one is made of a material with porosity evolution and the other is made of an incompressible material. For each hollow cylinder, the process of inflation begins from an undeformed state and ends as soon as the external boundary radius reaches a certain set value. In the assumption that the porosity increases and reaches its highest value at the outer boundary radius, the two hollow cylinders are compared in terms of their strains and stresses.

References:

1. Bailey, R.W. Creep relationships and their application to pipes, tubes, and cylindrical parts under internal pressure. Proceedings of the Institution of Mechanical Engineers, 1951, 164 (1), 425–431. DOI: 10.1243/PIME_PROC_1951_164_046_02.
2. Weir, C.D. The creep of thick tubes under internal pressure. Journal of Applied Mechanics, 1957, 24 (3), 464–466. DOI: 10.1115/1.4011565.
3. Rimrott, F.P.J. Creep of thick-walled tubes under internal pressure considering large strains. Journal of Applied Mechanics, 1959, 26 (2), 271–275. DOI: 10.1115/1.4011994.
4. King, R.H. and Mackie, W.W. Creep of thick-walled cylinders. ASME. Journal of Basic Engineering, 1967, 89 (4), 877–884.
5. Pai, D.H. Steady-state creep analysis of thick-walled orthotropic cylinders. International Journal of Mechanical Sciences, 1967, 9 (6), 335–348. DOI: 10.1016/0020-7403(67)90039-2.
6. Bhatnagar, N.S. and Gupta, S.K. Analysis of thick-walled orthotropic cylinder in the theory of creep. Journal of the Physical Society of Japan, 1969, 27 (6), 1655–1661. DOI: 10.1143/JPSJ.27.1655.
7. Bhatnagar, N.S. and Arya, V.K. Large strain creep analysis of thick-walled cylinders. International Journal of Non-Linear Mechanics, 1974, 9 (2), 127–140. DOI: 10.1016/0020-7462(74)90004-3.
8. Xie, Z.G., He, Y.M., Yang, J.G., and Gao, Z.L. Microstructural evolution of nuclear power steel A508–III in the creep process at 800°C. Applied Mechanics and Materials, 2017, 853, 153–157. DOI: 10.4028/www.scientific.net/AMM.853.153.
9. Liu, W., Guo, Y., Zhang, M., and Zhang, J. Formation and evolution of porosity during high temperature creep of a nickel-based single crystal super alloy. E3S Web of Conferences, 2020, 155, 01005. DOI: 10.1051/e3sconf/202015501005.
10. Leckie, F.A. and Hayhurst, D.R. Constitutive equations for creep rupture. Acta Metallurgica, 1977, 25 (9), pp. 1059–1070. DOI: 10.1016/0001-6160(77)90135-3.
11. Morris, R.E. Creep-rupture data for welded N-155 tubes. NASA Technical Note D-5195, 1969.
12. Nazarov, V.V. Selecting a dependence for the approximation of experimental data on secondary creep and creep rupture strength. Diagnostics, Resource and Mechanics of Materials and Structures, 2023, 3, 44–49. DOI: 10.17804/2410-9908.2023.3.044-049. Available at: https://dream-journal.org/DREAM_Issue_3_2023_Nazarov_V.V._044_049.pdf

Article reference