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Growth of a mode II crack in an orthotropic plate made of a viscoelastic composite material

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Abstract

The growth of a straight mode II crack in a viscoelastic orthotropic plate is examined. The plate material is modeled by a viscoelastic anisotropic medium. The shear displacement in the fracture process zone is determined as a function of time using the corresponding elastic solution, the Volterra principle, and the method of operator continued functions. The time dependence of the crack length is constructed as integral equations of three phases of stable growth. The solution of these equations gives kinetic curves

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References

  1. E. Wu, “Strength and fracture of composites,” in: Vol. 5 of the series L. Broutman and R. Krock (eds.), Composite Materials, Academic Press, New York (1974), pp. 191–247.

    Google Scholar 

  2. A. A. Kaminsky, Viscoelastic Fracture Mechanics [in Russian], Naukova Dumka, Kyiv (1980).

    Google Scholar 

  3. A. A. Kaminsky, Fracture of Viscoelastic Bodies with Cracks [in Russian], Naukova Dumka, Kyiv (1990).

    Google Scholar 

  4. A. A. Kaminsky and D. A. Gavrilov, Long-Term Fracture of Polymer and Composite Materials with Cracks [in Russian], Naukova Dumka, Kyiv (1992).

    Google Scholar 

  5. A. A. Kaminsky and M. F. Selivanov, “Viscoelastic deformation of a reinforced plate with a crack,” Int. Appl. Mech., 38, No. 12, 1508–1517 (2002).

    Article  Google Scholar 

  6. S. G. Lekhnitskii, Anisotropic Elasticity Theory [in Russian], Gostekhizdat, Moscow (1950).

    Google Scholar 

  7. Yu. N. Rabotnov, Element of Hereditary Mechanics of Solids [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  8. S. V. Serensen and G. P. Zaitsev, Load-Bearing Capacity of Thin-Walled Structures Made of Reinforced Plastics with Defects [in Russian], Naukova Dumka, Kyiv (1982).

    Google Scholar 

  9. G. P. Cherepanov, Brittle Fracture Mechanics [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  10. A. A. Kaminsky, “Subcritical crack growth in polymer composite materials,” in: G. Cherepanov (ed.), Fracture: A Topical Encyclopedia of Current Knowledge, Krieger, Malabar, Fl (1998), pp. 758–765.

    Google Scholar 

  11. A. A. Kaminsky, “Analysing the laws of stable subcritical growth of cracks in polymeric materials on the basis of fracture mesomechanics models: Theory and experiment,” Int. Appl. Mech., 40, No. 8, 829–846 (2004).

    Article  Google Scholar 

  12. A. A. Kaminsky and M. F. Selivanov, “Influence of cyclic loading on crack growth kinetics in a viscoelastic orthotropic plate made of a composite material,” Int. Appl. Mech., 40, No. 9, 1037–1041 (2004).

    Article  Google Scholar 

  13. A. A. Kaminsky and M. F. Selivanov, “An approach to the determination of the deformation characteristics of viscoelastic materials,” Int. Appl. Mech., 41, No. 8, 867–875 (2005).

    Article  Google Scholar 

  14. A. A. Kaminsky and M. F. Selivanov, “A method for determining the viscoelastic characteristics of composites,” Int. Appl. Mech., 41, No. 5, 469–480 (2005).

    Article  Google Scholar 

  15. A. A. Kaminsky and M. F. Selivanov, “Stable growth of penny-shaped crack in viscoelastic composite material under time-dependent loading,” Theor. Appl. Fract. Mech., 35, No. 3, 211–218 (2001).

    Article  Google Scholar 

  16. S. W. Park and R. A. Schapery, “Methods of interconvention between linear viscoelastic material functions. Part I-A numerical method based on Prony series,” Int. J. Solids Struct., 36, 1653–1675 (1999).

    Article  Google Scholar 

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Translated from Prikladnaya Mekhanika, Vol. 42, No. 9, pp. 89–97, September 2006.

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Kaminsky, A.A., Selivanov, M.F. Growth of a mode II crack in an orthotropic plate made of a viscoelastic composite material. Int Appl Mech 42, 1036–1044 (2006). https://doi.org/10.1007/s10778-006-0174-0

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  • DOI: https://doi.org/10.1007/s10778-006-0174-0

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