Materials Science

, Volume 40, Issue 5, pp 648–655 | Cite as

Analysis of the Elastoplastic Deformation of the Material in the Process Zone

  • V. V. Panasyuk
  • Ya. L. Ivanyts’kyi
  • O. P. Maksymenko
Research and Testing Methods


By the method of digital correlation of speckle images, we record the displacements in the vicinity of the crack tip in plane specimens of D16AT alloy. The field of elastoplastic displacements is determined in the vicinity of the crack tip under static loading. By using the distribution of displacements, we compute the levels of strains ε y on the continuation of the crack. The theoretical results are in good agreement with the experimental data in estimating the length of the plastic zone for the limiting equilibrium state.


Experimental Data Equilibrium State Structural Material Theoretical Result Static Loading 
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  1. 1.
    V. V. Panasyuk, A. E. Andreikiv, and S. E. Kovchik, Methods for the Evaluation of the Crack Resistance of Structural Materials [in Russian], Naukova Dumka, Kiev (1977).Google Scholar
  2. 2.
    GOST 25.506-85. Strength Analysis and Tests. Methods for Mechanical Testing of Metals. Determination of the Characteristics of Crack Resistance (Fracture Toughness) under Static Loading [in Russian], Izd. Standartov, Moscow (1985).Google Scholar
  3. 3.
    V. V. Panasyuk, Limiting Equilibrium of Brittle Cracked Bodies [in Russian], Naukova Dumka, Kiev (1968).Google Scholar
  4. 4.
    BSI-DD19: Methods for Crack Opening Displacement (COD) Testing, British Standard Institution (1978).Google Scholar
  5. 5.
    I. Ingham, G. R. Egan, D. E. Iliott, and T. C. Harisson, The Effect of Geometry on the Interpretation of COD Test Data, Practical Application of Fracture Mechanics to Pressure Vessel Technology (1971).Google Scholar
  6. 6.
    D. J. Chen, F. P. Chiang, Y. S. Tan, and H. S. Don, “Digital speckle-displacement measurement using a complex spectrum method,” Appl. Opt., 32(11), 1839–1849 (1993).Google Scholar
  7. 7.
    L. I. Muravs’kyi, O. P. Maksymenko, and O. M. Sakharuk, “Evaluation of transverse shifts of the surface of a material by the methods of speckle correlation,” Vidb. Obrob. Inform., Issue 18, 95–99 (2003).Google Scholar
  8. 8.
    O. P. Maksymenko, L. I. Muravs’kyi, and M. O. Lytvyn, “The choice of the parameter of inverse filter for the digital method of measuring of the displacements of speckles,” in: Physical Methods and Tools for Monitoring Media, Materials, and Products [in Ukrainian], Issue 8, Lviv (2003), pp. 151–156.Google Scholar
  9. 9.
    B. V. K. Vijaya Kumar and L. Haseebrook, “Performance measures for correlation filters,” Appl. Opt., 29, No.20, 2997–3006 (1990).Google Scholar
  10. 10.
    A. E. Andreikiv, Three-Dimensional Problems of the Theory of Cracks [in Russian], Naukova Dumka, Kiev (1982).Google Scholar
  11. 11.
    A. Yu. Zhilyukas, Fracture of Structural Elements [in Russian], Mokslas, Vilnius (1988).Google Scholar
  12. 12.
    V. V. Panasyuk, Mechanics of Quasibrittle Fracture of Materials [in Russian], Naukova Dumka, Kiev (1991).Google Scholar
  13. 13.
    GOST 1497-84. Metals. Methods for Tensile Testing [in Russian], Goskomstandart SSSR, Moscow (1985).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • V. V. Panasyuk
    • 1
  • Ya. L. Ivanyts’kyi
    • 1
  • O. P. Maksymenko
    • 1
  1. 1.Karpenko Physicomechanical InstituteUkrainian Academy of SciencesLvivUkraine

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