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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023 Number 1, Pages 44–48 (Mi vmumm4517)

Mechanics

Numerical modeling of branched cracks

A. V. Zvyagin, A. S. Udalov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: With the growth of various microdefects in bodies, complex systems of cracks of arbitrary configuration can be generated. This paper presents a technique for numerical simulation of complex branched cracks, which makes it possible to analyze such systems. Using the method proposed by the authors, it is possible to find the stress and displacement fields as well as the stress intensity factors, the analysis of which leads to the conclusion about the influence of the considered configuration on the crack stability. The paper also contains the comparison with the results of other authors in the problem of a two-link crack.

Key words: fracture mechanics, cracks, stress intensity factors.

UDC: 532.591, 531.5.031

Received: 07.09.2019

DOI: 10.55959/MSU0579-9368-1-2023-1-44-48


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2023, 78:1, 7–12

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© Steklov Math. Inst. of RAS, 2025