Influence of the material anisotropy on the limit state of orthotropic plate with periodic system of collinear cracks under biaxial loading

Authors

  • O. S. Bogdanova The S. P. Timoshenko Institute of Mechanics of the National Academy of Sciences of Ukraine, 03057, Kyiv, Nesterovstr, 3

DOI:

https://doi.org/10.17721/1812-5409.2019/1.6

Abstract

In the presented paper, the limiting state of the orthotropic plates weakened by the periodic system of collinear cracks under biaxial external loading is studied on the basis of the modified crack model of the Leonov-Panasyuk-Dagdale. The material of plate satisfies the strength condition of the general form. On the basis of the solution of a similar problem for an orthotropic plate with one crack, we obtain the relations for determining the basic parameters of a crack model, such as the size of the process zones, the stresses in these zones, and the opening at the top of the cracks. The criterion of critical crack opening is selected as a fracture criterion. On the example of a material satisfying Hoffman strength criterion (generalization of the Mises–Hill criterion, which takes into account the dependence of the difference between the tensile and compressive strength of unidirectional composite materials), the fracture mechanism of a plate weakened by the periodic system of collinear cracks was investigated. The influence of the degree of material anisotropy and biaxiality of external loading on the fracture process and the limiting state of the plate are shown.

Key words: periodic system of cracks, biaxial loading, orthotropy.

Pages of the article in the issue: 34-37

Language of the article: English

References

BOGDANOVA, O. S. (2007) Limiting state of an elastoplastic orthotropic plate with a periodic system of collinear cracks Int. Appl. Mech. 43(5). p. 539–546.

KAMINSKY, A.A., BOGDANOVA, O.S. and BASTUN, V.N. (2011) On modeling cracks in orthotropic plates under biaxial loading: synthesis and summary. Fatigue & Fracture of Engineering Materials & Structures. 34 (5). p. 345–355.

VIKARIO, A. and TOLAND, R., (1978) Kriterii prochnosti i analiz razrusheniya konstruktsiy iz kompozitsionnyh materialov / V kn. Analiz i proektirovanie konstruktsiy – Moskva, Mashinostroenie. p. 62-107.

No 1 (2019)

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How to Cite

Bogdanova, O. S. (2019). Influence of the material anisotropy on the limit state of orthotropic plate with periodic system of collinear cracks under biaxial loading. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, (1), 34–37. https://doi.org/10.17721/1812-5409.2019/1.6

Issue

No. 1 (2019)

Section

Differential equations, mathematical physics and mechanics

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