A Model of Describing Creep Strains and Porosity Evolution for a Hollow Cylinder Affected by Internal Gas Pressure

V. V. Nazarov

doi:10.17804/2410-9908.2023.5.006-014

V. V. Nazarov

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

DOI: 10.17804/2410-9908.2023.5.006-014

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.

Keywords: hollow cylinder, internal pressure, creep, porosity

References:

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.
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.
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.
King, R.H. and Mackie, W.W. Creep of thick-walled cylinders. ASME. Journal of Basic Engineering, 1967, 89 (4), 877–884.
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.
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.
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.
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.
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.
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.
Morris, R.E. Creep-rupture data for welded N-155 tubes. NASA Technical Note D-5195, 1969.
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

В. В. Назаров

МОДЕЛЬ ОПИСАНИЯ ДЕФОРМАЦИЙ ПОЛЗУЧЕСТИ И ЭВОЛЮЦИИ ПОРИСТОСТИ ДЛЯ ПОЛОГО ЦИЛИНДРА ПОД ВОЗДЕЙСТВИЕМ ВНУТРЕННЕГО ДАВЛЕНИЯ ГАЗА

Рассмотрены два плоских деформированных состояния двух одинаковых полых цилиндров, где один изготовлен из материала с эволюцией пористости, а второй – из несжимаемого материала. Процесс раздувания для каждого полого цилиндра начинается из недеформированного состояния и завершается достижением внешним граничным радиусом некоторого заданного значения. В предположении, что пористость возрастает и на внешнем граничном радиусе принимает свое наибольшее значение, приведено сравнение деформаций и напряжений двух полых цилиндров.

Ключевые слова: полый цилиндр, внутреннее давление, ползучесть, пористость

Библиография:

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. – Vol. 164, No. 1. – P. 425–431. – DOI: 10.1243/PIME_PROC_1951_164_046_02.
Weir C. D. The creep of thick tubes under internal pressure // Journal of Applied Mechanics. – 1957. – Vol. 24, No. 3. – P. 464–466. – DOI: 10.1115/1.4011565.
Rimrott F. P. J. Creep of thick-walled tubes under internal pressure considering large strains // Journal of Applied Mechanics. – 1959. – Vol. 26, No. 2. – P. 271–275. – DOI: 10.1115/1.4011994.
King R. H., Mackie W. W. Creep of thick-walled cylinders // ASME. Journal Basic Engineering. – 1967. – Vol. 89, No. 4. – P. 877–884.
Pai D. H. Steady state creep analysis of thick-walled orthotropic cylinders // International Journal of Mechanical Sciences. – 1967. – Vol. 9, No. 6. – P. 335–348. – DOI: 10.1016/0020-7403(67)90039-2.
Bhatnagar N. S., Gupta S. K. Analysis of thick-walled orthotropic cylinder in the theory of creep // Journal of the Physical Society of Japan. – 1969. – Vol. 27, No. 6. – P. 1655–1661. – DOI: 10.1143/JPSJ.27.1655.
Bhatnagar N. S., Arya V. K. Large strain creep analysis of thick-walled cylinders // International Journal of Non-linear Mechanics. – 1974. – Vol. 9, iss. 2. – P. 127–140. – DOI: 10.1016/0020-7462(74)90004-3.
Microstructural evolution of nuclear power steel A508–III in the creep process at 800^oC / Z. G. Xie, Y. M. He, J. G. Yang, Z. L. Gao // Applied Mechanics and Materials. – 2017. – Vol. 853. – P. 153–157. – DOI: 10.4028/www.scientific.net/AMM.853.153.
Formation and evolution of porosity during high temperature creep of a nickel-based single crystal super alloy / W. Liu, Y. Guo, M. Zhang, J. Zhang // E3S Web of Conferences. – 2020. – Vol. 155. – P. 01005. – DOI: 10.1051/e3sconf/202015501005.
Leckie F. A., Hayhurst D. R. Constitutive equations for creep rupture // Acta Metallurgica. –1977. – Vol. 25, No. 9. – P. 1059–1070. – DOI: 10.1016/0001-6160(77)90135-3.
Morris R. E. Creep-rupture data for welded N–155 tubes // NASA Technical Note. – D-5195. – 1969.
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. – Iss. 3. – P. 44–49. – DOI: 10.17804/2410-9908.2023.3.044-049. – URL: https://dream-journal.org/DREAM_Issue_3_2023_Nazarov_V.V._044_049.pdf

Библиографическая ссылка на статью

Nazarov V. V. A Model of Describing Creep Strains and Porosity Evolution for a Hollow Cylinder Affected by Internal Gas Pressure // Diagnostics, Resource and Mechanics of materials and structures. - 2023. - Iss. 5. - P. 6-14. -
DOI: 10.17804/2410-9908.2023.5.006-014. -
URL: http://dream-journal.org/issues/2023-5/2023-5_404.html
(accessed: 21.12.2024).