The paper presents the numerical investigation on the stress-strain state of single- and two-layer spheres with spherically transtropic radially reinforced layers under a centrally symmetric internal explosion. A comparative analysis is made between two widely used methods of modeling the explosive loading. The influence of the reinforcing fiber volume fraction and the alternation of layers on the strength of shells is investigated.
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References
S. G. Lekhnitskii, Theory of Elasticity of an Anisotropic Body [in Russian], Nauka, Moscow (1977).
A. G. Ivanov, A. G. Fedorenko, and M. A. Syrunin, “Influence of the reinforcement structure on the ultimate deformability of shells made of glass-fiber reinforced plastic under internal blast loading,” Prikl. Mekh. Teoret. Fiz., No. 4, 130–135 (1992).
V. Nowatzky, Theory of Elasticity [Polish translation], Mir, Moscow (1975).
L. I. Fridman, “Solution of the dynamic problem of elasticity theory in curvilinear coordinates,” Strength Mater., 8, No. 5, 560–565 (1976).
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).
Sh. U. Galiev, Nonlinear Waves in Limited Continua [in Russian], Naukova Dumka, Kiev (1988).
P. P. Lepikhin and V. A. Romashchenko, “Methods and findings of stress-strain state and strength analyses of multilayer thick-walled anisotropic cylinders under dynamic loading (review). Part 3. Phenomenological strength criteria,” Strength Mater., 45, No. 3, 271–283 (2013).
P. P. Lepikhin and V. A. Romashchenko, Strength of Non-Uniform Anisotropic Hollow Cylinders under Impulsive Loading [in Russian], Naukova Dumka, Kiev (2014).
L. P. Orlenko (Ed.), Physics of Explosion [in Russian], in 2 volumes, Fizmatgiz, Moscow (2004).
N. À. Abrosimiv, V. G. Bazhenov, and À. V. Ålesin, “Numerical analysis of the dynamic deformation and stability loss in composite shells of revolution under impulsive loading,” Mekh. Kompozit. Mater., 31, No. 1, 65–71 (1995).
D. W. Hyde, User’s Guide for Microcomputer Program CONWEP. Application of TM5-855-1: Fundamental of Protective Design for Conventional Weapons, Instruction Report SL-88-1, Vicksburg, MS (1992).
G. Randers-Pehrson and A. B. Kenneth, Airblast Loading Model for Dyna-2D & Dyna-3D, Technical Report ARL-TR-1310 (1997).
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 2. Comparison of numerical results with experimental and theoretical for cylinders,” Strength Mater., 47, No. 3, 406–414 (2015).
E. V. Bakhtina, “Selection of analytical methods for determination of mechanical characteristics of unidirectional composites based on glass fibers,” Strength Mater., 46, No. 1, 64–70 (2014).
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Translated from Problemy Prochnosti, No. 2, pp. 5 – 17, March – April, 2017.
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Romashchenko, V.A. Numerical Analysis of the Dynamics and Strength of Multilayer Composite Spheres Under an Internal Explosion. Strength Mater 49, 213–223 (2017). https://doi.org/10.1007/s11223-017-9860-x
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DOI: https://doi.org/10.1007/s11223-017-9860-x