A technique for the numerical analysis of nonlinear dynamic deformation and progressive failure of cylindrical glass-fiber plastic shells is developed with account of their strain-rate-dependent strength characteristics. The kinematic model of deformation of a layer package is based on a nonclassical theory of shells. The geometrical relations are constructed using the simplest quadratic variant of nonlinear elasticity theory. The relationship between the stress and strain tensors in a composite macrolayer is established on the basis of Hooke’s law for an orthotropic body, with account of volatility of the stiffness and strength characteristics of the multilayer package due to a local failure of some elementary layers of the composite and the strain-rate dependence of strength characteristics. An energy-consistent resolving system of dynamics equations for composite cylindrical shells is obtained as a result of minimization of the functional of total energy of the shell as a three-dimensional body. The numerical method for solving the initial boundary-value problem is based on an explicit variationaldifference scheme. The reliability of the technique developed was confirmed by a satisfactory agreement of calculation results with experimental data. For different shell reinforcement structures, qualitative differences in the character and size of failure zones were found, which were calculated by the model considering the strain-rate dependence of strength or their constancy.
Similar content being viewed by others
References
V. V. Vasiliev, Mechanics of Structures from Composite Materials [in Russian], M., Mashinostoenie (1988).
P. P. Lepikhin and V. A. Romashchenko, “Methods and results of an analysis of stress–strain state and strength of multilayer thick-walled anisotropic cylinders under dynamic loading (Review). Part 2. Theoretical methods,” Probl. Prochn., 45, No. 2, 31-45 (2013).
A. E. Burov, I. I. Koksharov, and V. V. Moskvichev, Modeling the Fracture and Crack Resistance of Fibrous Metal Composites [in Russian], Nauka, Novosibirsk (2003).
A. G. Fedorenko, M. A. Syrunin, and A. G. Ivanov, “Criteria of selection of composite materials for shell structures localizing explosion (Review),” Fiz. Goren. Vzryva, 41, No. 5, 3-13 (2005).
A. G. Ivanov, M. A. Syrunin, and A. G. Fedorenko, “Effect of reinforcement structure on the ultimate deformability and strength of shells made of an oriented GFRP with explosive loading from inside,” Prikl. Mekh. Tekhn. Fiz., No. 4, 130-135 (1992).
V. N. Rusak, A. G. Fedorenko, M. A. Syrunin, et al., “Ultimate deformability and strength of basalt-plastic shells under internal explosive loading,” Prikl. Mekh. Tekhn. Fiz., 43, No. 1, 186-195 (2002).
A. A. Korobkov, A. I. Alatortsev, Yu. V. Girin, A. V. Ostrik, D. V. Smirnov, and A. A. Cheprunov, “Unsteady deformation and fracture of composite shells under thermal force loading,” Global. Nauch. Potents., 39, No. 6, 37-49 (2014).
D. L. Bykov, A. V. Kazakov, D. N. Konovalov, V. P. Mel’nikov, Yu. M. Milekhin, V. A. Peleshko, and D. N. Sadovnichii, “On the law of damage accumulation and failure criteria in highly filled polymer materials,” Izv. RAN, Mekh. Tverd. Tela, No. 5, 76-97 (2014).
S. T. Mileiko, N. M. Sorokin, and A. M. Tsirlin, “Crack propagation in a boron-aluminum composite,” Polymer Mechanics, 12, No. 6, 882-887 (1976).
S. V. Serensen and G. P. Zaitsev, Load-Carrying Capacity of Thin-Wall Structures from Reinforced Plastics with Defects [in Russian], Naukova Dumka, Kiev (1982).
B. D. Annin and V. N. Maksimenko, “Evaluating the strength of composite plates with stress concentrators by the methods of linear fracture mechanics,” Mech. Compos. Mater., 30, No. 3, 244-250 (1994).
K. V. Kukudzhanov, “Investigation of the fracture of layered plates made of composite materials under shock contact loading,” Izv. RAN, Mekh. Tverd. Tela, No. 1, 185-192 (2009).
N. A. Abrosimov, V. G. Bazhenov, and V. P. Stolov, “Nonsteady deformation and failure of composite plates and shells in impulsive loading and in collision with rigid bodies,” Mech. Compos. Mater., 29, No. 3, 260-267 (1993).
M. R. Garnich and V. M. K. Akula, “Review of degradation models for progressive failure analysis of fiber-reinforced polymer composites,” Appl. Mech. Rev., 62, No. 1, 1-33 (2009).
M. M. Shokrieh and A. Karamnejad, “A investigation of strain rate effects on the dynamic response of a glass/epoxy composite plate under blast loading by using the finite-difference method,” Mech. Compos. Mater., 50, No. 3, 295−310 (2014).
P. F. Liu, Y. H. Yang, Z. P. Gu, and J. Y. Zheng, “Finite element analysis of progressive failure and strain localization of carbon fiber/epoxy composite laminates by ABAQUS,” Appl. Compos. Mater., 22, No. 6, 711-731 (2015).
S. Shroff and C. Kassapoglou, “Progressive failure modelling of impacted composite panels under compression,” J. Reinforced Plastics and Compos., 34, No. 19, 1603-1614 (2015).
A. E. Bogdanovich, Nonlinear Problems of Dinamics of Cylindrical Composite Shells [in Russian], Zinatne, Riga (1987).
A. E. Bogdanovich and E. G. Fel’dmane, “Strength and axisymmetric deformation of laminate cylindrical shells under axial impact,” Mech. Compos. Mater., 18, No. 4, 449-456 (1982).
A. E. Bogdanovich and E. V. Yarve, “Analysis of damage zones in graphite-epoxy laminates in low-velocity impact,” Mech. Compos. Mater., 27, No. 3, 270-276 (1991).
N. A. Abrosimov and V. G. Bazhenov, Nonlinear Problems of Dynamics of Composite Structures [in Russian], Izd. NNGU, Nizhni Novgorod (2002).
A. K. Malmeister, V. P. Tamuzhs, and G. A. Teters, Strength of Polymer and Composite Materials [in Russian], Zinatne, Riga (1980).
N. A. Abrosimov and N. A. Novoseltseva, “Numerical simulation of the layer-by-layer destruction of cylindrical shells under explosive loading,” Mech. Compos. Mater., 51, No. 4, 407-418 (2015).
K. Washizu, Variational Methods in Theory Elasticity and Plasticity, Oxford, Pergamon Press (1982).
N. A. Abrosimov, A. V. Elesin, L. N. Lazarev, and N. A. Novoseltseva, “Numerical analysis of the strength of GFRP cylindrical shells of various structures under pulsed loading,” Probl. Prochn. Plast., Mezhvuz. Sb., Izd. NNGU, Nizhni Novgorod, 75, No. 4, 288-295 (2013).
E. K. Ashkenazi and E. V. Ganov, Anisotropy of Structural Materials, Handbook [in Russian], Mashinostroenie, Leningrad (1980).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Mekhanika Kompozitnykh Materialov, Vol. 54, No. 6, pp. 1063-1078, November-December, 2018.
Rights and permissions
About this article
Cite this article
Abrosimov, N.A., Novoseltseva, N.A. Numerical Simulation of the Effect of Deformation Rates on the Dynamic Strength of GFRP Cylindrical Shells. Mech Compos Mater 54, 733–744 (2019). https://doi.org/10.1007/s11029-019-9779-3
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11029-019-9779-3