A mathematical formulation of the boundary value problem of elasticity theory for a hollow metal-composite two-layer sphere under the action of internal static or centrally symmetric dynamic pressure is given. The problem is solved analytically for static loading in the exact formulation. Specific features of solutions for shells with an ultra-thin inner metal layer are investigated analytically. It is found that as the thickness of the inner more rigid layer decreases, the circular stresses in it increase in proportion to the ratio of the spherical stiffnesses of the materials of the inner and outer layers. This may lead to the fact that pseudo reinforcement of the composite shell by a very thin inner sufficiently stiff and strong metal layer will not only be ineffective, but may even cause destruction of the inner layer and, consequently, of the shell as a whole under loads which are quite safe for a composite shell without an inner pseudo-reinforcing layer.
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References
Effectiveness of High Pressure Metal Composite Cylinders in Aerospace Engineering [in Russian], SAFIT LLC – GosNII GA, Moscow (2016).
J. Zheng, Y. Chen, G. Deng, et al., “Recent progress of explosion containment vessels (Part I): Methods for design of explosion containment vessels,” J. Press. Equip. Syst., No. 6, 185–198 (2008).
À. G. Fedorenko, M. A. Syrunin, and A. G. Ivanov, “Dynamic strength of spherical FRP shells under internal explosive loading,” Fiz. Goren. Vzryv., 31, No. 4, 93–99 (1995).
A. G. Ivanov, M. A. Syrunin, and A. G. Fedorenko, “Dynamic strength of spherical shells under internal explosive loading,” Rev. High Press. Sci. Technol., 8, No. 4, 302–305 (1998).
M. A. Syrunin, A. G. Fedorenko, and A. G. Ivanov, “The explosion-proof container, satisfying the IAEA norms on safety,” in: Proc. of the 12th Int. Conf. on the Packaging and Transportation of Radioactive Materials (PATRAM-98), (May 10–15, 1998, Paris, SFEN), 4 (1998), pp. 1574–1580.
À. G. Fedorenko, M. A. Syrunin, and A. G. Ivanov, “The dynamic strength of shells made of oriented fibrous composites under explosive loading (review),” Prikl. Mekh. Tekhn. Fiz., No. 1, 126–133 (1993).
À. G. Ivanov, M. A. Syrunin, and A. G. Fedorenko, “Container for containerized explosion of a compact explosive charge with an inert shell,” Prikl. Mekh. Tekhn. Fiz., 42, No. 1, 196–208 (2001).
V. A. Romashchenko and S. A. Tarasovskaya, “The elastic theory dynamic problem for a transtropic multilayer sphere,” Strength Mater., 43, No. 2, 178–189 (2011), https://doi.org/10.1007/s11223-011-9284-y.
V. A. Romashchenko, “Numerical analysis of the dynamics and strength of multilayer composite spheres under an internal explosion,” Strength Mater., 49, No. 2, 213–223 (2017), https://doi.org/10.1007/s11223-017-9860-x.
P. F. Liu, J. K. Chu, S. J. Hou, et al., “Numerical simulation and optimal design for composite high-pressure hydrogen storage vessel: A review,” Renew. Sust. Energ. Rev., 16, 1817–1827 (2012).
S. G. Lekhnitskii, Theory of Anisotropic Body Elasticity [in Russian], Nauka, Moscow (1977)
P. P. Lepikhin, V. A. Romashchenko, O. S. Beiner, et al., “A program for numerical calculation of dynamic stress-strain state and strength of hollow multilayer anisotropic cylinders and spheres. Part 1. Program description,” Strength Mater., 47, No. 2, 249–256 (2015), https://doi.org/10.1007/s11223-015-9655-x.
G. Randers-Pehrson and K. A. Bannister, Airblast Loading Model for DYNA2D and DYNA3D, Technical Report ARL-TR-1310, Army Research Laboratory (1997).
G. S. Pisarenko, A. P. Yakovlev, and V. V. Matveev, Reference Book on Resistance of Materials [in Russian], Delta, Kiev (2008).
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Translated from Problemy Prochnosti, No. 3, pp. 15 – 21, May – June, 2021.
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Lepikhin, P.P., Romaschenko, V.A. & Tarasovs’ka, S.O. Peculiarities of Strengthening of Spherical Composite Pressure Vessels with Thin Metal Shells Under Static and Dynamic Loads. Part 1. Statics. Strength Mater 53, 388–394 (2021). https://doi.org/10.1007/s11223-021-00298-8
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DOI: https://doi.org/10.1007/s11223-021-00298-8