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Influence of contact interaction between the sides of crack on characteristics of failure mechanics in action ofP- andSV-waves

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Abstract

The effect of contact between the sides of a rectilinear crack in the planeR 2={x: x3=0} on the characteristics of the fallure mechanics is studied for the case in which the crack is affected by harmonic tensile-compression waves and shifts. The surfaces of the crack may assume any orientation relative to the direction of propagation of the waves. The presence of friction in the zone of contact of the sides of the crack is taken into account. The method of solving the problem stated is iterative in nature and is based on the solution of a sequence of boundary integral equations for the Fourier coefficients of the displacement discontinuity vector and the contact force vector. It is also corrected at each step of the solution so as to satisfy one-sided restrictions in the zone of contact.

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References

  1. R. V. Gol'dshtein and V. M. Entov,Qualitative Methods in Continuum Mechanics [in Russian], Nauka, Moscow (1989).

    Google Scholar 

  2. A. N. Guz and V. V. Zozulya, “Dynamic contact problem for plane with a slot, incorporating analysis of interaction between sides,”Dokl. Akad. Nauk SSSR,318, No. 2, 304–307 (1991).

    Google Scholar 

  3. A. N. Guz and V. V. Zozulya,Brittle Fracture of Materials Subjected to Dynamic Loads, in 4 vols., vol. 4 [in Russian], Nauk. Dumka, Kiev (1993).

    Google Scholar 

  4. V. V. Zozulya, “Effect of harmonic load on a crack in an infinite body taking into account interaction between its sides,”Dokl. Akad. Nauk UkrSSR. Ser. A, No. 4, 46–49 (1990).

    Google Scholar 

  5. V. V. Zozulya, “Hadamard-type integrals in dynamic problems of the theory of cracks,”Dokl. Akad. Nauk UkrSSR. Ser. A, No. 2, 19–22 (1991).

    Google Scholar 

  6. M. Abramich and I. Sting, ed.,Handbook of Special Functions [Russian translation], Nauka, Moscow (1979).

    Google Scholar 

  7. A. C. Eringen and E. S. Suhubi,Electrodynamics, Vol. 2, Lineal Theory, Academic Press, New York (1975), pp. 343–1003.

    Google Scholar 

  8. A. K. Mal, “Interaction of waves with a Griffith crack,” Ibid., No. 8, 763–776.

    Google Scholar 

  9. G. G. Sih and J. F. Loeber, “Wave propagation in an elastic solid with a line discontinuity of finite crack,”Quart. Appl. Math.,27, No. 2, 193–213 (1969).

    MATH  Google Scholar 

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Authors
  1. V. V. Zozulya
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  2. N. V. Fenchenko
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Additional information

Kharkov Highway Technical Institute, Ukraine. Translated from Prikladnaya Mekhanika, Vol. 35, No. 2, pp. 70–75, February, 1999.

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Zozulya, V.V., Fenchenko, N.V. Influence of contact interaction between the sides of crack on characteristics of failure mechanics in action ofP- andSV-waves. Int Appl Mech 35, 175–180 (1999). https://doi.org/10.1007/BF02682152

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  • DOI: https://doi.org/10.1007/BF02682152

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