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Evaluation of Crack Resistance of a Compressed Composite Plate with Initial Delamination

  • RELIABILITY, STRENGTH, AND WEAR RESISTANCE OF MACHINES AND STRUCTURES
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Abstract

A procedure for calculation of the fracture force for a compressed composite plate with initial delamination is suggested. The fracture criterion of the J-integral forms the basis of evaluation of crack resistance. To facilitate calculation of the J-integral, an original procedure for expansion of initial loading into two states is suggested, so that the main section would not be loaded for the first system of loadings and the curvature values of sections would be identical for the second system and the system would be safe in the context of crack resistance. In order to determine the fracture force, the system of two transcendent equations is derived. The results of the calculation of the fracture force are compared for laminated plates made from carbon fiber-reinforced plastic and glass-reinforced plastic with various values of the initial delamination prepared according to the suggested procedure for the experimental data (the calculation error of the fracture force is less than 10% as compared to the experimental data).

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REFERENCES

  1. Kablov, E.N., Composites: Today and tomorrow, Met. Evrazii, 2015, no. 1, pp. 36–39.

  2. Mitrofanov, O.V. To the question about the post-buckling behavior of thin composite plates with nonsymmetric structure under compression and uneven local heating, Estestv. Tekh. Nauki, 2019, no. 2, pp. 169–173.

  3. Grinevich, D.V., Yakovlev, N.O., and Slavin, A.V., The criteria of the failure of polymer matrix composites (review), Tr. VIAM, 2019, no. 7, pp. 92–111. https://doi.org/10.18577/2307-6046-2019-0-7-92-111

  4. Knops, M., Analysis of Failure in Fiber Polymer Laminates: The Theory of Alfred Puck, Berlin: Springer, 2008. https://doi.org/10.1007/978-3-540-75765-8

    Book  Google Scholar 

  5. Puck, A. and Schürmann, H., Failure analysis of FRP laminates by means of physically based phenomenological models, Compos. Sci. Technol., 2002, vol. 62, nos. 12–13, pp. 1633–1662.

    Article  Google Scholar 

  6. Puck, A. and Kopp, J., and Knops, M., Guidelines for the determination of the parameters in Puck’s action plane strength criterion, Compos. Sci. Technol., 2002, vol. 62, pp. 371–378.

    Article  Google Scholar 

  7. Dávila, C.G. and Camanho, P.P., Failure Criteria for FRP Laminates in Plane Stress, Hampton, Va.: NASA Langley Research Center, 2003.

    Book  Google Scholar 

  8. Pinho, S., Dávila, C., Camanho, P., Iannucci, L. and Robinson, P., Failure Models and Criteria for FRP under In-Plane or Three-Dimensional Stress States Including Shear Non-Linearity, Hampton, Va.: NASA Langley Research Center, 2005.

    Google Scholar 

  9. Pinho, S.T., Robinson, P., and Iannucci, L., Fracture toughness of the tensile and compressive fibre failure modes in laminated composites, Compos. Sci. Technol., 2006, vol. 66, no. 13, pp. 2069–2079.  https://doi.org/10.1016/j.compscitech.2005.12.023

    Article  Google Scholar 

  10. Dávila, C., Jaunky, N., and Goswami, S., Failure criteria for FRP laminates in plane stress, in 44th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conf. 2003, Norfolk, Va., 2003. https://doi.org/10.2514/6.2003-1991

  11. Cuntze, R.G. and Freund, A., The predictive capability of failure mode concept-based strength criteria for multidirectional laminates, Compos. Sci. Technol., 2004, vol. 64, nos. 3–4, pp. 343–377. https://doi.org/10.1016/S0266-3538(03)00218-5

    Article  Google Scholar 

  12. Cuntze, R.G., Efficient 3D and 2D failure conditions for UD laminae and their application within the verification of the laminate design, Compos. Sci. Technol., 2006, vol. 66, nos. 7–8, pp. 1081–1096.  https://doi.org/10.1016/j.compscitech.2004.12.046

    Article  Google Scholar 

  13. Cuntze, R., The predictive capability of failure mode concept-based strength conditions for laminates composed of unidirectional laminae under static triaxial stress states, J. Compos. Mater., 2012, vol. 46, nos. 19–20, pp. 2563–2594. https://doi.org/10.1177/0021998312449894

    Article  Google Scholar 

  14. Cherepanov, G.P., Mekhanika razrusheniya (Fracture Mechanics), Moscow: Inst. Computernykh Issledovanii, 2012.

  15. Kurguzov, V.D., Astapov, N.S., and Astapov, I.S. Fracture model for structured quasibrittle materials, J. Appl. Mech. Tech. Phys., 2014, vol. 55, no. 6, pp. 1055–1065. https://doi.org/10.1134/S0021894414060182

    Article  Google Scholar 

  16. Finogenov, G.N. and Erasov, V.S., Fracture toughness of polymer composites at interlaminar delamination, Aviats. Mater. Tekhnol., 2003, no. 3, pp. 62–67.

  17. Yakovlev, N.O., Erasov, V.S., Krylov, V.D., and Popov, Yu.A., Methods for determination of shear properties in polymer composite materials, Aviats. Prom., 2014, no. 1, 20–23.

  18. Yakovlev, N.O., Lutsenko, A.N., and Artem’eva, I.V., Methods for determining interlaminar fracture toughness of laminated materials, Vse Mater., 2015, no. 10, pp. 57–64.

  19. Sham, Prasad, M.S., Venkatesha, C.S., and Jayaraju, T., Experimental methods of determining fracture toughness of fiber reinforced polymer composites under various loading conditions, J. Miner. Mater. Charact. Eng., 2011, vol. 10, no. 13, pp. 1263–1275. https://doi.org/10.4236/jmmce.2011.1013099

    Article  Google Scholar 

  20. Gallo, P. and Berto, F., Some considerations on the J-integral under elastic-plastic conditions for materials obeying a Ramberg-Osgood law, Phys. Mesomech., 2015, vol. 18, no. 4, pp. 298–306. https://doi.org/10.1134/S1029959915040037

    Article  Google Scholar 

  21. Bokhoeva, L.A., Osobennosti rascheta na prochnost' elementov konstruktsii iz izotropnykh i kompozitsionnykh materialov s dopustimymi defektami (Features of Strength Evaluation of Structural Elements Made of Isotropic and Composite Materials with Allowed Defects), Ulan-Ude: Vost.-Sib. Gos. Tekh. Univ., 2007.

  22. Pokrovskii, A.M., Bokhoeva, L.A., and Chermoshentseva, A.S., Stability evaluation of fracture process of compressed plate made of laminated materials with defects, in Tez. Dokl. Vseross. Nauch.-Tekh. Konf.: Mekhanika i Matematicheskoe Modelirovanie v Tekhnike (Lecture Notes of All-Russian Sci.-Tech. Conf.: Mechanics and Mathematical Modeling in Engineering), Moscow: MGTU im. N.E. Baumana, 2016, pp. 335–339.

  23. Parton, V.Z. and Morozov, E.M., Mekhanika uprugoplasticheskogo razrusheniya: Osnovy mekhaniki razrusheniya (Mechanics of Elastoplastic Fracture: Foundations of Fracture Mechanics), 3rd ed., Moscow: LKI, 2008.

  24. Chermoshentseva, A.S., Pokrovskiy, A.M., and Bokhoeva, K.A., The behavior of delaminations in composite materials - experimental results, IOP Conf. Ser.: Mater. Sci. Eng., 2016, vol. 116, p. 012005. https://doi.org/10.1088/1757-899X/116/1/012005

  25. Yakovlev, N.O., Gulyaev, A.I., and Lashov, O.A., Fracture toughness of laminated polymer composites (review), Tr. Vseros. Nauchno-Issled. Inst. Aviats. Mater. 2016, no. 4, pp. 106–114. https://doi.org/10.18577/2307-6046-2016-0-4-12-12

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Funding

This work was supported by the Russian Foundation for Basic Research, project no. 18-29-18050/20.

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Authors and Affiliations

  1. Bauman Moscow State Technical University, Moscow, Russia

    A. M. Pokrovskii & A. S. Chermoshentseva

  2. East Siberia State University of Technology and Management, Ulan-Ude, Russia

    L. A. Bokhoeva

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  1. A. M. Pokrovskii
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  2. A. S. Chermoshentseva
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  3. L. A. Bokhoeva
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Correspondence to A. M. Pokrovskii.

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Translated by A. Muravev

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Pokrovskii, A.M., Chermoshentseva, A.S. & Bokhoeva, L.A. Evaluation of Crack Resistance of a Compressed Composite Plate with Initial Delamination. J. Mach. Manuf. Reliab. 50, 446–454 (2021). https://doi.org/10.3103/S1052618821040129

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  • DOI: https://doi.org/10.3103/S1052618821040129

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