Academic Journal of Engineering and Technology Science, 2021, 4(5); doi: 10.25236/AJETS.2021.040509.
Tingjing Geng, Hongfu Qiang, Zhejun Wang, Xueren Wang, Chunguo Yue
206 Staff Room, Xi’an High-Tech Institute, Xi'an, China
In order to determine the stress state of the solid rocket motor grain under the internal pressure load, based on the finite element numerical simulation calculation, the length and size requirements of the grain under the internal pressure simplified to a plane strain problem are obtained. Numerical simulation calculations are further carried out for the grains in plane strain state that meet the simplified conditions, and the radial and circumferential stress states of the grains are obtained. The numerical simulation results are compared with the viscoelastic theoretical solution of the grains under the same material parameters. The results show that when the aspect ratio exceeds 2.5, the axial strain is approximately 0, which can be equivalent to a plane strain problem. In addition, the analysis shows that under the action of internal pressure, the plane strain grains are in a bidirectional compression stress state with a radial and circumferential stress ratio of approximately 1:1. Finally, by comparing the numerical solution and the analytical solution, it is found that the relative error is within 3%, which verifies the correctness of the numerical simulation calculation results.
solid propellant, finite element, plane strain, bidirectional compression
Tingjing Geng, Hongfu Qiang, Zhejun Wang, Xueren Wang, Chunguo Yue. Analysis of the stress state of solid propellant grains under internal pressure load. Academic Journal of Engineering and Technology Science (2021) Vol. 4, Issue 5: 48-54. https://doi.org/10.25236/AJETS.2021.040509.
 Beckwith S W, Wang D T. Crack Propagation in Double-Base Propellants [J]. Journal of Spacecraft and Rockets, 1978, 15(6): 355-361.
 Krishna R K, Sabarinath K, Sandeep G, et al. Influence of Viscoelastic properties of Solid Propellants on starting transient of solid rocket motors [J]. 2014.
 Yan Bin. Structural integrity analysis of compound propellant loading in a solid rocket engine [D].Nanjing University of Technology, 2007. (in Chinese)
 Yang Yuecheng, Fu Xuejun, Zhang Yongxin. Stress strain analysis of solid propellant column [J]. Aerospace Shanghai (Chinese & English), 2004 (04): 44-47.
 Wang Jialin. Analysis and calculation of finite element theory of solid rocket propellant [D]. Harbin University of Engineering, 2003. (in Chinese)
 Song Shixiong, Shi Hongbin, Liu Zhongbing, et al. Structural analysis of solid rocket motor grain at ignition transient under low temperature [J]. Journal of Solid Rocket Technology, 2018, 41 (03): 278-283. (in Chinese)
 A.B.Boyd, W.M.Burkes and J.E.Medford.Grain Design and Development Problems for Very Large Rocket Motors[J].Solid Propellant Rocket Research, 1960.
 Wang Yuanyou. Viscoelastic analysis of stress and strain in solid propellant grains under pressure loadings [J]. Acta Armamentarii, 1983 (03): 20-33. (in Chinese)
 Yan Qifang, Liu Linchao, Yan Pan.Stress analysis of solid propellant grain based on fractional Derivative Kelvin viscoelastic model [J]. Journal of Xinyang Normal University(Natural Science Edition), 2015,28 (04): 486-488. (in Chinese)
 Bina, Ehsan Parvizi, Haghighat, Heshmatollah. Limit analysis of plane strain compression of cylindrical billets between flat dies [J]. The International Journal of Advanced Manufacturing Technology, 2021 (prepublish).
 Wang Yuanyou, Wang Xinhua, Hu Yafei. A diffusion model upon spacecraft materials acceleration outgassing progress [J]. Journal of Astronautics, 1994 (01): 48-54. (in Chinese)