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A criterion for the onset of growth of two shear cracks in an elastic body under plane-strain conditions

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Abstract

The Wiener-Hopf method is used to find a solution to a symmetric problem that gives a criterion for the onset of growth of long shear cracks emanating from a corner point on the boundary of a hole and filled with a plastic material

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References

  1. A. M. Danilovich, “Plastic flow near the tips of an arbitrary oriented crack under plane strain, ” Fiz.-Khim. Mekh. Mater., 29, No. 6, 93–96 (1993).

    Google Scholar 

  2. A. A. Kaminsky, L. A. Kipnis, and G. A. Khazin, “Study of the stress state near a corner point in simulating the initial plastic zone by slipbands,” Int. Appl. Mech., 37, No. 5, 647–653 (2001).

    Article  Google Scholar 

  3. A. A. Kaminsky, L. A. Kipnis, and G. A. Khazin, “Analysis of the plastic zone at a corner point by the trident model,” 38, No. 5, 611–616 (2002).

    Google Scholar 

  4. A. A. Kaminsky and S. B. Nizhnik, “Study of the laws governing the change in the plastic zone at the crack tip and characteristics of the fracture toughness of metallic materials in relation to their structure (survey), ” Int. Appl. Mech., 31, No. 10, 777–798 (1995).

    Article  Google Scholar 

  5. A. A. Kaminsky, G. I. Usikova, and E. A. Dmitrieva, “Experimental study of the distribution of plastic strains near a crack tip during static loading,” Int. Appl. Mech., 30, No. 11, 892–897 (1994).

    Article  Google Scholar 

  6. L. A. Kipnis and G. P. Cherepanov, “Application of the choice principle to the problem of initial development of slip lines from a corner point,” Prikl. Mat. Mekh., 53, No. 1, 159–164 (1989).

    MathSciNet  Google Scholar 

  7. B. Noble, Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equations, Pergamon Press, London (1958).

    MATH  Google Scholar 

  8. M. P. Savruk and A. M. Danilovich, “Slip-band propagation at the tip of an edge crack during plastic deformation,” Int. Appl. Mech., 30, No. 1, 48–52 (1994).

    Article  MATH  Google Scholar 

  9. Ya. S. Uflyand, Integral Transformations in Elastic Problems [in Russian], Nauka, Moscow-Leningrad (1967).

    Google Scholar 

  10. G. P. Cherepanov, Mechanics of Brittle Fracture, McGraw-Hill, New York (1979).

    MATH  Google Scholar 

  11. A. N. Guz, “On two-scale model of fracture mesomechanics of composites with cracks under compression, ” Int. Appl. Mech., 41, No. 5, 582–585 (2005).

    Article  MathSciNet  Google Scholar 

  12. A. A. Kaminsky, “Analyzing 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 

  13. A. A. Kaminsky, L. A. Kipnis, and M. V. Dudik, “Initial development of the prefracture zone near the tip of a crack reaching the interface between dissimilar media,” Int. Appl. Mech., 40, No. 2, 176–182 (2004).

    Article  Google Scholar 

  14. A. A. Kaminsky and G. V. Galatenko, “Two-parameter model of a mode I crack in an elastoplastic body under plane-strain conditions,” Int. Appl. Mech., 41, No. 6, 621–630 (2005).

    Article  Google Scholar 

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Translated from Prikladnaya Mekhanika, Vol. 42, No. 4, pp. 83–90, April 2006.

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Kaminsky, A.A., Kipnis, L.A. & Khazin, G.A. A criterion for the onset of growth of two shear cracks in an elastic body under plane-strain conditions. Int Appl Mech 42, 439–446 (2006). https://doi.org/10.1007/s10778-006-0100-5

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  • DOI: https://doi.org/10.1007/s10778-006-0100-5

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