Models and criteria of destruction of composite materials at the stage of macrocrack initiation
DOI:
https://doi.org/10.20535/2521-1943.2024.8.3(102).309734Keywords:
diffused failure of composite materials, phenomenological models of damage, anisotropy of mechanical properties, criteria of diffuse failureAbstract
The analysis was carried out and the limits of the use of modern damage models and criteria for the failure of composite materials (CM) at the stage of macrocrack initiation were established. The classification of CM and the main hypotheses and assumptions used in the development of the condition level are described. The main stage of the life cycle of a CM product is considered - the stage of nucleation and accumulation of scattered fractures at the micro and meso levels. The main principles of continuum damage mechanics, thermodynamics of irreversible processes and mechanics of a solid deformed body are used. The main mechanisms of microfailure of reinforced CM are described. It is shown that for them it is necessary to consider a set of phenomenological parameters that could assess the kinetics of the accumulation of diffused failures in the matrix, reinforcing fibers and the delamination between them. These complex processes in reinforced CMs require phenomenological modeling of damage in the form of tensor quantities with certain assumptions. Thus, the "mixture" hypothesis was widely used. It is shown that each component of the damage parameter is more expedient to determine from the hypothesis of the equivalence of specific energies. The method of conducting basic experiments to specify the regularities of damage accumulation in CM is detailed. A modified CM stiffness tensor is established, taking into account the degradation of the mechanical properties of the CM, regardless of the thermo-force parameters of the operating load. An analysis of modern criteria for the destruction of reinforced CMs and the limits of their use was carried out. The main directions of solving the problem of estimating the limit state of CM and the load-bearing elements made from them are shown.
References
- T. W. Clyne and D. Hull, An Introduction to Composite Materials, Cambridge University Press: Cambridge, UK, 326 p. 2019, doi: https://doi.org/10.1017/CBO9781139170130
- C. Zweben, “Composites Materials”, M. Kutz Ed., Mechanical Engineer’s Handbook: Materials and Engineering Mechanics, 2015, doi: https://doi.org/10.1002/9781118985960.meh110
- Donald R. Askeland, Pradeep P. Fulay, Wendelin J. Wright, The Science and Engineering of Materials, 6th Ed., Cengage Learn-ing, Inc., Boston, 949 p., 2010.
- R. Talreja, C. V. Singh, Damage and Failure of composite materials, Cambridge University Press, New York, 304 p., 2012, doi: https://doi.org/10.1017/CBO9781139016063
- E. Wu and C.-Z. Tsai, “Impact behaviour and analysis of CFRP laminated plates”, S. R. Reid and G. Zhou Eds., Impact behav-iour of fibre-reinforced composite materials and structures, Woodhead Publishing Ltd. Cambridge, 212 p., 2000.
- T. Fudzii, M. Dzako, Mekhanika razrusheniya kompozitsionnykh materialov, Mir, 232 p., 1982.
- Y. N. Robotnov, Creep Problems in Structural Members, Amsterdam: North-Holland, 803 p., 1969.
- L. M. Kachanov, On the creep rupture time, Izv Akad Nauk SSR, Otd Tekhn Nauk, 8, pp. 26–31, 1958.
- J. Lemaitre, “A course on damage mechanics”, 2nd Ed., Springer-Verlag Berlin Heidelberg New York., 228 p., 1996, doi: https://doi.org/10.1007/978-3-642-18255-6
- Sumio Murakami, “Continuum damage mechanics”, Solid Mechanics and Its Applications, Springer Dordrecht, 402 p., 2012, doi: https://doi.org/10.1007/978-94-007-2666-6
- J. Lemaitre and J. L. Chaboche, Damage mechanics. Chapter 7 in Mechanics of Solid Materials; Cambridge: Cambridge Univer-sity Press, pp. 346–450, 1990.
- O. A. Bondarets, “Model of scattered damage accumulation in anisotropic structural materials under plastoelastic deformation”, Dys. kand. tekhn. nauk.,CSc, Kyiv, 2021.
- J. Betten, “Damage tensors in continuum mechanics”, Journal de mechanique theorique appliquee, No.1, pp. 13–32, 1983.
- J. Lemaitre, “Handbook of Materials Behavior Models”, Materials Science, Academic Press; 1st Ed., 1200 p., 2001.
- Ever J Barbero, “Finite Element Analysis of Composite Materials Using Abaqus”, by Taylor & Francis Group, LLC, 406p., 2013.
- V. V. Panasiuk, “Mekhanika ruinuvannia ta mitsnist materialiv dosiahnennia ta perspektyvy”, Fizyky-khimichna mekhanika ma-terialiv, vol. 40, no. 3, pp. 5–18, 2004.
- Victor Giurgiutiu, “Stress, Vibration, and Wave Analysis in Aerospace Composites”, for SHM and NDE Applications, pp. 111–277, 2022, doi: https://doi.org/10.1016/C2016-0-04241-9
- PP Camanho, A Arteiro, AR Melro, G Catalanotti, M. Vogler, Three-dimensional invariant-based failure criteria for fibre-reinforced composites, Int. J. Solids Struct. 55, pp. 92–107, 2015, doi: https://doi.org/10.1016/j.ijsolstr.2014.03.038
- Ladeveze, P. and Le Dantec, E., Damage Modeling of the Elementary Ply for Laminated Composites. Composites Science and Technology, 43, pp. 257–267, 1992, doi: https://doi.org/10.1016/0266-3538(92)90097-M
- P. P. Lepikhin, V. A. Romashchenko and E. V. Bakhtina, “Metody i rezul'taty analiza napryazhenno-deformirovanogo sostoyaniya i prochnosti mnogosloi-nykh tolstostenykh anizotropnykh tsilindrov pri dinamicheskom nagruzhenii (obzor). Soobshchenie 3. Fenomenologicheskie kriterii prochnosti,” Problemy prochnosti, No. 3, pp. 31–45, 2013.
- M. R. T. Arruda, L. Almeida-Fernandes, L. Castro, J.R. Correia, Tsai–Wu based orthotropic damage model, Composites Part C: Open Access 4, 2021, doi: https://doi.org/10.1016/j.jcomc.2021.100122
- G. Catalanotti, P. P. Camanho, A. T. Marques, “Three-dimensional failure criteria for fiber-reinforced laminates,” Composite Structures, Vol. 95, pp. 63–79, Jan., 2013, doi: https://doi.org/10.1016/j.compstruct.2012.07.016
- J. Reinos, G. Catalanotti, A. Blázquez, P. Areias, P.P. Camanho and F. Parísa, “A consistent anisotropic damage model for laminated fiber-reinforced composites using the 3D-version of the Puck failure criterion,” International Journal of Solids and Structures, pp. 37–53, 2017, doi: 10.1016/j.ijsolstr.2017.07.023
- J. Reinoso, A. Blázquez, “Application and finite element implementation of 7-parameter shell element for geometrically nonlinear analysis of layered CFRP composites,” Composite Structures, Vol. 139, 1, pp. 263–276, April 2016, doi: 10.1016/j.compstruct.2015.12.009
- P. Maimí, P.P. Camanho, J.A. Mayugo and C.G. Dávila, “A continuum damage model for composite laminates: Part I – Consti-tutive model,” Mechanics of Materials, Vol. 39, Issue 10, pp. 897–908, October 2007, doi: https://doi.org/doi.org/10.1016/j.mechmat.2007.03.005
- Pinho, Silvestre & Dávila, Carlos & Camanho, Pedro & Iannucci, Lorenzo & Robinson, P., Failure, Models and Criteria for FRP Under In-Plane or Three-Dimensional Stress States Including Shear Non-Linearity, NASA/TM-2005-213530, 69 p., 2005.
- Carolyn Oddy, Magnus Ekh, Martin Fagerström, Macroscale modelling of 3D-woven composites: Elasto-plasticity and progres-sive damage, International Journal of Solids and Structures, 12 p., 2022, doi: https://doi.org/10.1016/j.ijsolstr.2022.111696
- Ever J. Barbero and Paolo Lonetti, “An Inelastic Damage Model for Fiber Reinforced Laminates,” Journal of COMPOSITE MATERIALS, Vol. 36, No. 08, pp. 941–961, 2002, doi: https://doi.org/10.1177/0021998302036008549
- M. I. Bobyr, “Criterion of the limit state of composites materials,” Mech. Adv. Technol., Vol. 6, No. 3, pp. 229–236, 2022, doi: https://dx.doi.org/10.20535/2521-1943.2022.6.3.264783
- Agata Zuzana Galka, “Physically based constitutive model for damage in composites under dynamic loads,” PHD Thesis, 206 р., 2020, doi: 10.13140/RG.2.2.12724.81281
- F. Praud, G. Chatzigeorgiou, Y. Chemisky and F. Meraghni, “Hybrid micromechanical-phenomenological modelling of anisotropic damage and anelasticity induced by micro-cracks in unidirectional composites,” Composite Structures, 182, pp. 223–236, 2017, doi: https://dx.doi.org/10.1016/j.compstruct.2017.09.013
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