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Influence of the viscoelastic properties of a composite on the stress distribution around an elliptic hole in a plate

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The time variation in the stresses around an elliptic hole in a composite plate is studied. Solutions that characterize the effect of the time dependence of the relaxation moduli of the composite components on stresses are obtained. The solutions in the time domain are obtained from the elastic–viscoelastic analogy and the corresponding elastic solutions for the effective moduli of the composite and the stress field around an elliptic hole in an anisotropic plate. The inverse Laplace transformation is carried out by an effective numerical method

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References

  1. G. A. Van Fo Fy, Fibrous Composite Materials [in Russian], Naukova Dumka, Kyiv (1970).

    Google Scholar 

  2. A. A. Kaminsky and M. F. Selivanov, “Determination and analysis of the effective relaxation properties of a composite with viscoelastic components,” Int. Appl. Mech., 46, No. 1, 18–27 (2010).

    Article  MathSciNet  Google Scholar 

  3. R. M. Christensen, Mechanics of Composite Materials, Wiley, New York (1979).

    Google Scholar 

  4. S. G. Lekhnitskii, Theory of Elasticity of an Anisotropic Body, Mir, Moscow (1981).

    MATH  Google Scholar 

  5. A. N. Guz (ed.), Mechanics of Composite Materials and Structural Members [in Russian], in 3 vols., Naukova Dumka, Kyiv (1993).

    Google Scholar 

  6. G. N. Savin, Stress Distribution around Holes [in Russian], Naukova Dumka, Kyiv (1968).

    Google Scholar 

  7. L. P. Khoroshun, B. P. Maslov, E. N. Shikula, and L. V. Nazarenko, Statistical Mechanics and Effective Properties of Materials, Vol. 3 of the 12-volume series Mechanics of Composite Materials [in Russian], Naukova Dumka, Kyiv (1993).

    Google Scholar 

  8. M. N. M. Allam and A. M. Zenkour, “Stress concentration factor of a structurally anisotropic composite plate weakened by an oval opening,” Compos. Struct., 61, 199–211 (2003).

    Article  Google Scholar 

  9. M. N. M. Allam, A. M. Zenkour, and H. F. El-Mekawy, “Stress concentrations in a viscoelastic composite plate weakened by a triangular hole,” Compos. Struct., 79, 1–11 (2007).

    Article  Google Scholar 

  10. L. C. Brinson and W. G. Knauss, “Thermoreologically complex behavior of multi-phase viscoelastic materials,” J. Mech. Phys. Solids, 39, 859–880 (1991).

    Article  ADS  Google Scholar 

  11. A. A. Kaminsky, “Study of the deformation of anisotropic viscoelastic bodies,” Int. Appl. Mech., 36, No. 11, 1434–1457 (2000).

    Article  Google Scholar 

  12. A. A. Kaminsky and M. F. Selivanov, “Growth of a penny-shaped crack with nonsmall fracture process zone in a composite,” Int. Appl. Mech., 44, No. 8, 866–871 (2008).

    Article  Google Scholar 

  13. M. Lopez-Fernandez, C. Palencia, and A. Schadle, “A spectral order method for inverting sectorial Laplace transforms,” SIAM J. Numer. Anal., 44, No. 3, 1332–1350 (2006).

    Article  MATH  MathSciNet  Google Scholar 

  14. L. V. Nazarenko, L. P. Khoroshun, W. H. Muller, and R. Wille, “Effective thermoelastic properties of discrete-fiber reinforced materials with transversally-isotropic components,” Contin. Mech. Thermodyn., 20, 429–458 (2009).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  15. I. Yu. Podil’chuk, “Study of stress concentration in a viscoelastic orthotropc plate with an elliptical hole,” Int. Appl. Mech., 33, No. 9, 731–739 (1997).

    Article  MathSciNet  Google Scholar 

  16. M. F. Selivanov, “Effective properties of a linear viscoelastic composite,” Int. Appl. Mech., 45, No. 10, 1084–1091 (2009).

    Article  Google Scholar 

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Correspondence to M. F. Selivanov.

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Translated from Prikladnaya Mekhanika, Vol. 46, No. 7, pp. 76–83, July 2010.

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Selivanov, M.F. Influence of the viscoelastic properties of a composite on the stress distribution around an elliptic hole in a plate. Int Appl Mech 46, 799–805 (2010). https://doi.org/10.1007/s10778-010-0369-2

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  • DOI: https://doi.org/10.1007/s10778-010-0369-2

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