Abstract
This is an overview of the existing criteria of the failure of the composite materials and of the results of the application of some of them to simulate a low-speed hit on the composition material for the three-dimensional statement of the problem. Simulation is made by means of the grid-characteristic method. Reasons are given for the selection of specific criteria and they are compared with each other.
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References
M. J. Hinton, A. S. Kaddour, and P. D. Soden, Failure Criteria in Fibre Reinforced Polymer Composites: The World-Wide Failure Exercise (Elsevier, Amsterdam, London, 2004).
M. J. Hinton and A. S. Kaddour, “Maturity of 3D failure criteria for fibre-reinforced composites: comparison between theories and experiments: Part B of WWFE-II,” J. Compos. Mater., No. 7, 925–966 (2013).
W. Nowacki, Theory of Elasticity (PWN, Warsaw, 1970; Mir, Moscow, 1970).
L. I. Sedov, Mechanics of Continuous Media (Nauka, Moscow, 1970; World Scientific, Singapore, 1996), Vol. 1.
R. P. Fedorenko, Introduction to Computational Physics (Mosk. Fiz. Tekh. Inst., Moscow, 1994) [in Russian].
F. B. Chelnokov, “Explicit expression of grid-characteristic schemes for elasticity equations in 2D and 3D,” Mat. Model. 18 (6), 96–108 (2006).
K. M. Magomedov and A. S. Kholodov, Grid-Characteristic Numerical Methods (Nauka, Moscow, 1988) [in Russian].
I. B. Petrov and A. V. Favorskaya, “Library of high order interpolation methods on unstructured triangular and tetrahedral meshes,” Inform. Tekhnol., No. 9, 30–32 (2011).
P. I. Agapov, O. M. Belotserkovskii, and I. B. Petrov, “Numerical simulation of the consequences of a mechanical action on a human brain under a skull injury,” Comput. Math. Math. Phys. 46, 1629–1638 (2006).
O. M. Belotserkovskii, Numerical Simulation in Continuous Media Mechanics (Nauka, Moscow, 1984) [in Russian].
K. A. Beklemysheva, I. B. Petrov, and A. V. Favorskaya, “Numerical simulation of processes in solid deformable media in the presence of dynamic contacts using the grid-characteristic method,” Math. Mod. Comput. Simul. 6, 294–304 (2014).
A. A. Il’yushin, Plasticity (Gostekhizdat, Moscow, 1948) [in Russian].
R. Hill, “A theory of the yielding and plastic flow of anisotropic metals,” Proc. R. Soc. London A 193, 281–297 (1948).
S. W. Tsai and E. M. Wu, “A general theory of strength for anisotropic materials,” J. Compos. Mater. 5, 58–80 (1971).
R. Hill, “Theoretical plasticity of textured aggregates,” Math. Proc. Cambridge Philos. Soc., No. 85, 179–191 (1979).
S. Abrate, “Criteria for yielding or failure of cellular materials,” J. Sandwich Struct. Mater. 10, 5–51 (2008).
F. Barlat and O. Cazacu, “Generalization of Drucker’s yield criterion to orthotropy,” Math. Mech. Solids 6, 613–630 (2001).
Y. Huang, C. Liu, and M. G. Stout, “On the asymmetric yield surface of plastically orthotropic materials: a phenomenological study,” Acta Mater. 45, 2397–2406 (1997).
Z. Hashin and A. Rotem, “A fatigue failure criterion for fiber reinforced materials,” J. Compos. Mater. 7, 448–464 (1973).
R. C. Batra, G. Gopinath, and J. Q. Zheng, “Damage and failure in low energy impact of fiber-reinforced polymeric composite laminates,” Compos. Struct. 94, 540–547 (2012).
A. Puck and W. Schneider, “On failure mechanisms and failure criteria of filament-wound glass-fibre/resin composites,” Plast. Polym. 37, 33–42 (1969).
A. Puck and H. Schurmann, “Failure analysis of FRP laminates by means of physically based phenomenological models,” Compos. Sci. Technol. 62, 1633–1662 (2002).
A. Elmarakbi, H. Fukunaga, H. Wang, and Y. Zemba, “Stable numerical simulations of propagations of complex damages in composite structures under transverse loads,” Compos. Sci. Technol. 67, 752–765 (2007).
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Original Russian Text © K.A. Beklemysheva, A.V. Vasyukov, A.S. Ermakov, I.B. Petrov, 2016, published in Matematicheskoe Modelirovanie, 2016, Vol. 28, No. 2, pp. 97–100.
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Beklemysheva, K.A., Vasyukov, A.V., Ermakov, A.S. et al. Numerical simulation of the failure of composite materials by using the grid-characteristic method. Math Models Comput Simul 8, 557–567 (2016). https://doi.org/10.1134/S2070048216050033
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DOI: https://doi.org/10.1134/S2070048216050033