The positive expulsion diaphragms parameters reversing process calculation within the framework of a rigid plastic body
Heading:
| Mudrov, DS |
| Space Sci. & Technol. 2026, 32 ;(1):57-67 |
| https://doi.org/10.15407/knit2026.01.057 |
| Publication Language: Українська |
Abstract: The paper presents the application of a rigid-plastic model for analyzing the deformation behavior of solids, with particular
attention to expulsion diaphragms. Th e rationale for adopting this model is provided, along with its mathematical assumptions and advantages. Th e study evaluates the model’s performance in solving typical solid mechanics problems and discusses its limitations as well as potential directions for further improvement.Practical examples of using the rigid-plastic approach in engineering calculations are given, accompanied by a comparative analysis with alternative modeling methods. It is demonstrated that the rigid-plastic model provides reliable predictions of critical loads and large plastic deformations; however, it requires refi nement in cases where elastic eff ects become signifi cant during the initial loading stages. Th e fi ndings highlight the need for developing hybrid models that combine rigid-plastic and elastic-plastic formulations to enhance computational accuracy. A detailed analysis of existing techniques based on circular-arc approximation of the meridian in the plastic deformation zone is conducted. It is shown that such methods lead to inaccuracies at boundary points, predicting an unbounded increase in the rolling zone radius and a pressure drop to zero, which contradicts the physical nature of the process.A new computational approach is proposed that is free from these simplifying assumptions. Th is method ensures consistent pressure values at all stages of shell inversion, including the initial and fi nal phases. Comparative analysis with classical methods and experimental data obtained from real diaphragm specimens with predefi ned geometric parameters demonstrates that the proposed approach provides high accuracy in reproducing experimental pressure-diff erential values both at the onset of deformation and at full inversion. Th e results confi rm the practical effi ciency of the developed methodology and its superiority for engineering analysis of axisymmetric components operating under conditions of ultimate plastic deformation. |
| Keywords: aerospace and rocket-space engineering; mathematical modeling; propellant tank; expulsion diaphragm; shells; limit state; deformation; plasticity; buckling |
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https://doi.org/10.15421/472302
2. Efremov V N, Zhuravlev V Yu and Yakubovich O P (2005) [Separators of fuel tanks with negative parallel deformation monograph] (SibSAU: Krasnoyarsk) p 76. [in Russian]
3. Zhuravlev V.Yu., Nazarova L.P., Fisenko E.N. Falkov V.O., [Identification of the metal separa-tor eversion process on the basis of kinematic model] Mechanics. Investigations and Innovations.2018 Vol. 11, pp 68-74. [in Russian]
4. Zhuravlev V.Yu., Falkova E.V., Nazarova L.P., Klimovskiy D.A. [Eversion kinematics of thin-walled shells under plastic deformation] Mechanics. Investigations and Innovations.2018 Vol. 11, pp 75-79. [in Russian]
5. Zahaievskyi, L. and Sanin, A. 2023. [Review of current developments in microgravity-enabled rocket propulsion control devices.] Challenges and Issues of Modern Science. 2023, 1, pp 13-21. [in Ukrainian]
6. Zalesov V.N., Daev I.F. [Plastic deformation of positive expulsion diaphragms]. 1977. 72 p. [in Russin]
7. Klimovskiy D. A., Zhuravlev V. Yu. [Clarification of the plastic deformations zone borders for the fuel tank diaphragm]. Siberian Aerospace Journal. 2024, Vol. 25, No. 2, pp. 223-232.
https://doi.org/10.31772/2712-8970-2024-25-2-223-232
8. Mozharovskij N.S. [Theory of Elasticity, Plasticity, and Creep]. 2002. 308 p. [in Ukrainian]
9. Mudrov D.S., Zil' V.V. [Study of stress-strain state of expulsion diaphragms]. Geo-Technical Mechanics 2016. Vol. 131. pp. 173-182. [in Ukrainian]
10. Novozhilov V.V. [Theory of thin shells]. Saint Petersburg. SPbGU, 2010. 378 p. [in Russin]
11. Pisarenko G.S., Mozharovskij N.S. [Equations and boundary value problems of the theory of plasticity and creep]. 1981. 496 p. [in Russin]
12. Rasskazov A.O. [Limit equilibrium of shells]. 1978. 151 p. [in Russin]
13. Sedov L.I. [Continuum mechanics monograph]. 1994. T. 2. 560 p. [in Russin]
14. Shul'ha V.A., Pidhajnyj A.I., Mudrov D.S. [Experimental investigation of the performance of separating diaphragms for propellant storage and feed systems in rocket engine propellant tanks]. [Space Technology. Missile Armaments]. 2025. №1. pp. 19 - 27.
https://doi.org/10.33136/stma2025.01.019
15. Hartwig J.W. Propellant management devices for low-gravity fluid management: past, present, and future applications. Journal of Spacecraft and Rockets. 2017. Vol. 54, no. 4. pp. 808-824.
https://doi.org/10.2514/1.A33750
16. Klimovskiy D. A., Zhuravlev V. Yu. Investigation of the stress-strain state for the fuel tank separator. IOP Conference Series: Materials Science and Engineering. 2022, Vol. 1230, P. 012010.
https://doi.org/10.1088/1757-899X/1230/1/012010
17. Sabaghzadeh H., Shafaee M. Reversal modeling and optimal design of hyper-elastic dia-phragm in space fuel tanks. SN Applied Sciences. 2021. Vol. 3, Article number: 792. DOI: https://doi.org/10.1007/s42452-021- 04785-0.
https://doi.org/10.1007/s42452-021-04785-0
18. Tam W., Kawahara G., Wlodarczyk K., Gutierrez H., Kirk D. Review of ATK Diaphragm Tanks - An Update, Space Propulsion 2018, SP2018_00024.
19. Weicheng Huang, Tianzhen Liu, Zhaowei Liu, Peifei Xu, Mingchao Liu, Yuzhen Chen, K. Jimmy Hsia. Discrete differential geometry-based model for nonlinear analysis of axisymmetric shells. International Journal of Mechanical Sciences. Volume 283. 2024.
https://doi.org/10.1016/j.ijmecsci.2024.109742
20. Xuehu Yang, Lijuan Wang, Sendong Gu, Ganggang Li, Yong Zhang, Xiaoping Wu. A com-putational analysis of reversal behaviors of a spacecraft propellant tank with titanium diaphragm, Proc. SPIE 13513, The International Conference Optoelectronic Information and Optical Engineer-ing (OIOE2024), 135131S (15 January 2025);
https://doi.org/10.1117/12.3045569