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Degradation of the Mechanical Properties of Fiber Reinforced Plastic under Cyclic Loading

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Mechanics of Composite Materials Aims and scope

The brief review and analysis devoted to the problem of the degradation processes of materials, including fiber reinforced plastics, is carried out. As a specific object, a unidirectional carbon fiber reinforced plastic with [±45]2s lay-up under cyclic loading was selected. In the theoretical description of this process, it was assumed that the strain includes the elastic, viscoelastic, and viscoplastic components and the strain, formed as a result of the microdamages accumulation in the material. Modeling the degradation process is based on a phenomenological approach; moreover, the kinetic equation for the degradation parameter contains as the arguments both physical time and number of cycles transformed into a continuous variable. When determining the parameters from the experimental results, that are included in the constitutive relations for the strain components, the hypothesis is used, that with a small number of cycles, the strain caused by degradation is much less the strain caused by the rheological properties of the material. In addition, a number of hypotheses were introduced (a generalization of the Kachanov hypothesis, as well as the assumption that the rates of various inelastic strain cannot always be of the same order at all times of loading). It makes possible to simplify the problem of mechanical characteristics identification, as well as to reduce the variety and amount of experiments. The results of experiments and the problems solved for determining the parameters included in the physical relationships proposed were presented, and their good agreement was obtained.

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References

  1. Yu. N. Rabotnov, Creep of Structural Elements [In Russian], Nauka, Moscow (1966).

    Google Scholar 

  2. L. M. Kachanov, “On the time of failure under creep conditions,” [In Russian], Izv. AN SSSR, No.8, 26-31 (1958).

  3. V. V. Vasiliev, A. A. Dudchenko, and A. N. Elpatyevsky, “On the features of deformation of orthotropic fiberglass under tension” [In Russian], Mech. Polymers, No.1, 144-146 (1970).

  4. N. A. Alfutov, P. A. Zinoviev, and B. G. Popov, Calculation of Multilayer Plates and Shells Made of Composite Materials [In Russian], Mashinostroenie, Moscow (1984).

    Google Scholar 

  5. V. I. Astafiev, Yu. N. Radaev, and L. V. Stepanova, Nonlinear fracture mechanics [In Russian], Izd-vo “Samarskii Universitet”, Samara (2001).

  6. V. V. Bolotin., “To the theory of delayed fracture,” [In Russian], Mechanica tverdogo tela, No.1, 137-146 (1981).

  7. S. Murakami and Yu. N. Radaev, “Mathematical model of a three-dimensional anisotropic state of damage,” [In Russian], Mech. Solids, No.4, 98-110 (1966).

  8. S. A. Nazarov, “Tensor and damage measures. 1. Asymptotic analysis of an anisotropic medium with defects,” [In Russian], Mech. Solids, No. 3, 113-124 (2000).

  9. I. G. Teregulov, “Strength criterion of an orthotropic body and its relationship with the process of microdamages accumulation,” [In Russian], Applied Problems of Strength and Plasticity. Interuniversity. Mezhvuzovskiy sbornik “Analiz i Optimizatsiya Konstruktsiy”. Izd-vo NNGU, No. 51, 32-39 (1994).

    Google Scholar 

  10. A. A. Ilyushin and B. E. Pobedrya, Thermoviscoelasticity Based on Mathematical Theory [In Russian], Nauka, Moscow (1970).

    Google Scholar 

  11. A. C. F. Cocks and M. F. Ashby, “The growth of dominant crack in a creeping material,” Scr. Metall, 16, 109-114 (1982).

    Article  CAS  Google Scholar 

  12. M. B. Akhundov, “Damage and deformation of nonlinear hereditary media in a complex stressed state,” Mech. Compos. Mater., No. 2, 155-158 (1991).

  13. Yu. V. Suvorova, “On the criterion of strength based on the damage accumulation and its applications to composite,” [In Russian], Mech. Solids, No. 4, 107-111 (1979).

    Google Scholar 

  14. A. M. Dumansky and G. N. Finogenov, “Methods for assessing the damage of polymer fiber composites under prolonged static loading,” [In Russian], Industrial Laboratory, No. 4, 60-62 (1993).

    Google Scholar 

  15. V. V. Moskvitin, “Some questions of long-term strength of viscoelastic bodies,” [In Russian], Strength Problems, No. 2, 55-58 (1972).

    Google Scholar 

  16. A. R. Harutyunyan and R. A. Harutyunyan, “Fatigue strength criterion of composite materials based on the damage concept,” Russian Congress on Fundamental Problems of Theoretical and Applied Mechanics: Proc. in 4 Volumes. D23 V. 3: Mechanics of Rigid Bodies, Ufa, Russia (2019), 556-558.

  17. R. A. Harutyunyan, “High-temperature embrittlement and long-term strength of metallic materials,” [In Russian], Mech. Solids, 50, No. 2, 191-197 (2015).

    Article  Google Scholar 

  18. W. Van Paepegem and J. Degrieck, “A new coupled approach of residual stiffness and strength for fatigue of fibre-reinforced composites,” Int. J. Fatigue, 24, No. 7, 747-762 (2002)

    Article  Google Scholar 

  19. J. Bogdanoff and F. Kozin, Probabilistic Models of Damage Accumulation [In Russian], Mir, Moscow (1989).

    Google Scholar 

  20. O. G. Rybakina, “About the works of V. V. Novozhilov in the field of phenomenological description of the first stage of fracture (damage accumulation),” [In Russian], Proc. of the Central Research Institute. Acad. A. N. Krylov, No. 53-1 (337-1), 127-134 (2010).

  21. N. N. Golovin and G. N. Kuvyrkin, “Mathematical models of deformation of carbon-carbon composites,” [In Russian], Mech. Solids, No. 5, 111-123 (2016).

    Google Scholar 

  22. Non-Destructive Testing: Handbook: In 8 volumes [In Russian], Under total. ed. V. V. Klyuev, 1-8 (2006).

  23. J. Varna and L. Asp, “Microdamage in composite laminates: experiments and observation,” Appl. Mech. Mater., 518, 84-89 (2014).

    Article  Google Scholar 

  24. Yu. G. Matvienko, I. E. Vasiliev, A. V. Pankov, and M. A. Trusevich, “Early diagnosis of damage and fracture zones of composite materials using brittle strain gauges and acoustic emission,” [In Russian], Industrial Laboratory. Diagnostics of Materials, No. 1, 45-56 (2016).

    Google Scholar 

  25. V. E. Wildemann, E. V. Spaskova, A. I. Shilova, “Composite materials based on acoustic emission monitoring and method of digital image correlation problems of deformation and fracture in materials and structures,” Solid State Phenomena, 243, 163-170 (2016).

    Article  Google Scholar 

  26. D. L. Bykov, A. V. Kazakov, D. N. Konovalov, V. P. Melnikov, Yu. M. Milekhin, V. A. Peleshko, and D. N. Sadovnichy, “On the law of damage accumulation and fracture criteria in highly filled polymeric materials,” Mech. Solids, No. 5, 76-97 (2014).

    Google Scholar 

  27. A. Yu. Izyumova, A. N. Vshivkov, A. E. Prokhorov, O. A.Plekhov, and B. Venkatraman, “Study of heat source evolution during elastic-plastic deformation of titanium alloy Ti-0.8AL-0.8MN based on contact and non-contact measurements,” PNRPU Mechanics Bulletin, No. 1, 68-81 (2016).

    Article  Google Scholar 

  28. S. A. Kapustin, Yu. A. Churilov, and V. A. Gorokhov, Modeling of Nonlinear Deformation and Failure of Structures under Conditions of Multifactor Effects Based on FEM [In Russian], Izdatelstvo Nizegorodskogo gos. un-ta. named by N. I. Lobachevskij, Nizhny Novgorod (2015).

  29. I. A. Volkov and Yu. G. Korotkikh, Equations of State for Damaged Viscoelastoplastic Media [In Russian], Fizmatlit, Moscow (2008).

    Google Scholar 

  30. I. A. Volkov, L .A. Igumnov, D. A. Kazakov, D. N. Shishulin, I. S. Tarasov, and I. V. Smetanin, “Constitutive relations of the mechanics of a damaged medium for evaluating the long-term strength structural alloys,” J. Appl. Mech.Tech. Physics, No. 1, 181-194 (2019).

  31. M. S. Loukil and J. Varna, “Effective shear modulus of a damaged ply in laminate stiffness analysis: Determination and validation”, J. Compos. Mater., 54, No. 9, 1-16 (2019).

    Google Scholar 

  32. R. Talreja and C. V. Singh, Damage and Failure of Composite Materials, Cambridge University Press, New York (2012).

    Book  Google Scholar 

  33. R. A. Kayumo and R. O. Nezhdanov, “Long-term strength criterion for fiber composite” [In Russian], Izv. TulGU. Seria “Matematika. Mekhanika. Informatika,” 10, No. 2, 111-123 (2004).

  34. W. Van Paepegem, “Fatigue damage modelling of composite materials with the phenomenological residual stiffness approach,” Fatigue Life Pred. Compos. Compos. Struct., 1, 102-138 (2010).

    Google Scholar 

  35. A. V. Berezin and A. I. Kozinkina, “Features of damage diagnosis and assessment of the strength of composites” [In Russian], Mech. Compos. Mater. Struct, 5, No. 1, 99-122 (1999).

    Google Scholar 

  36. P. A. Belov, A. A. Dudchenko, S. A. Lurie, A. M. Semernin, and H. Khadarman, “About one algorithm for accounting for damage in material mechanics,” [In Russian], Mech. Compos. Mater. Struct, 12, No. 4, 566-578 (2006).

    Google Scholar 

  37. V. N. Paimushin, R. A. Kayumov, and S. A. Kholmogorov, “Deformation features and models of [+/-45]2s cross-ply fiber-reinforced plastics in tension”, Mech. Compos. Mater., 55, No. 2, 141-154 (2019).

    Article  CAS  Google Scholar 

  38. R. A. Kayumov, “Extended problem of identification of mechanical characteristics of materials based on the results of tests of structures,” Mech. Solids, No. 2, 94-105 (2004).

    Google Scholar 

  39. Ospina Cadavid M., Al-Khudairi O., Hadavinia H., Goodwin D., and Liaghat G.H., “Experimental studies of stiffness degradation and dissipated energy in glass fibre reinforced polymer composite under fatigue loading,” Polymers and Polymer Compos., 25, No. 6, 435-446 (2017).

    Article  Google Scholar 

Download references

Acknowledgments

The work was funded by Russian Science Foundation (project No. 19-79-10018 (Section "Introduction", "Experimental Results and Their Theoretical Explanation")) and by the Kazan Federal University Strategic Academic Leadership Program (“PRIORITY-2030”).

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Paimushin, V.N., Kayumov, R.A. & Kholmogorov, S.A. Degradation of the Mechanical Properties of Fiber Reinforced Plastic under Cyclic Loading. Mech Compos Mater 59, 371–380 (2023). https://doi.org/10.1007/s11029-023-10101-1

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