Two-parameter model of the prefracture zone in a quasi-elastic material near the tip of an interface crack

Authors

  • A. O. Kaminsky S.P. Timoshenko Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv
  • M. V. Dudyk Pavlo Tychyna Uman State Pedagogical University, Uman https://orcid.org/0000-0002-1399-6367
  • Yu. V. Reshitnyk Pavlo Tychyna Uman State Pedagogical University, Uman

DOI:

https://doi.org/10.17721/1812-5409.2023/2.17

Keywords:

interface crack, pre-fracture zone, Mises-Hill strength criterion

Abstract

A model of the pre-fracture zone, which under plane strain conditions extends from the tip of the interface crack at an angle to the plane interface of two different homogeneous isotropic materials, has been developed. The pre-fracture zone is represented by the displacement discontinuity line, on which the strength condition of the Mises-Hill type is satisfied. The parameters of the model are the tensile resistance and shear resistance of the material in which the zone develops. The model takes into account brittle and ductile fracture mechanisms and can be used to describe the quasi-brittle fracture of a piece-homogeneous body with an interface crack. The possibility of a transition between brittle and ductile fracture mechanisms is shown when the ratio of tensile and shear resistance of the material changes.

Pages of the article in the issue: 116 - 119

Language of the article: Ukrainian

References

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Published

2023-12-23

How to Cite

Kaminsky, A. O., Dudyk, M. V., & Reshitnyk, Y. V. (2023). Two-parameter model of the prefracture zone in a quasi-elastic material near the tip of an interface crack. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, (2), 116–119. https://doi.org/10.17721/1812-5409.2023/2.17

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Section

Differential equations, mathematical physics and mechanics