On brittle fracture of a body with partial healed star-shaped crack

Authors

  • T. M. Dalyak Laboratory of Modeling of Damping Systems, Pidstryhach-Institute for Applied Problems in Mechanics and Mathematics, NAS of Ukraine, Ivano-Frankivsk https://orcid.org/0000-0001-7426-0655
  • I. P. Shatsky Laboratory of Modeling of Damping Systems, Pidstryhach-Institute for Applied Problems in Mechanics and Mathematics, NAS of Ukraine, Ivano-Frankivsk https://orcid.org/0000-0003-0223-038X

DOI:

https://doi.org/10.17721/1812-5409.2023/2.13

Keywords:

solid, star crack, brittle fracture, healed efficiency

Abstract

In this article, the express methodology for assessing the strength of a brittle material with a partially healed crack is used to model the renovation of a body with a star-shaped defect of a cyclically symmetrical structure. The rheology of the joint layer is not taken into account, but the specific surface energy in the healed area is generally different than in the solid body. Therefore, we have the problem of crack mechanics in a body that is homogeneous in terms of elastic properties and heterogeneous in terms of crack resistance. The degree of crack healing was described by two parameters: the ratio of the crack resistance of the joint and body materials and the ratio of the length of the healed area to the length of the initial crack. The subject of the analytical study was the efficiency of healing - the ratio of ultimate loads of brittle failure for a healed and primary crack. Two treatment options are considered in detail: near the peaks and near the center of the star defect.

Pages of the article in the issue: 100 - 103

Language of the article: Ukrainian

References

SHATS’KYI, І. P. (2015) Limiting Equilibrium of a Plate with Partially Healed Crack. Mater Sci. 51. p. 322–330.

WESTMANN, R. A. (1964) Pressurized star crack. J. Math. and Phys. 43 (3). p. 191–198.

WILLIAMS, W. E. (1971) A Star-Shaped Crack Deformed by an Arbitrary Inernal Pressure. Int. J. Eng. Sci. 9 (8). p. 705–712.

SAVRUK, М. P. (1988) Intensity factors stresses in bodies with cracks, Fracture mechanics and Strength of Materials: A Reference Guide under General edited by Panasyuk V.V. V.2. - Kyiv: Nauk. Dumka.

TWEED J., ROOKE D. P. (1974) The Stress Intensity Factor of a Star-Shaped Array of Cracks in Infinite Elastic Solid. Int. J. Eng. Sci. 12 (5). p. 423–431.

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Published

2023-12-23

How to Cite

Dalyak, T. M., & Shatsky, I. P. (2023). On brittle fracture of a body with partial healed star-shaped crack. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, (2), 100–103. https://doi.org/10.17721/1812-5409.2023/2.13

Issue

Section

Differential equations, mathematical physics and mechanics