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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2022 Volume 63, Issue 4, Pages 164–171 (Mi pmtf100)

Two-criterion fault diagram for a disk-shaped crack with annoral load

V. I. Smirnova, S. A. Atroshenkob

a Emperor Alexander I St. Petersburg State Transport University, 198103, Saint Petersburg, Russia
b Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, 199178, Saint Petersburg, Russia

Abstract: The critical load (force) is estimated for a space with a disk-shaped crack, in the case when a concentrated force acts on its edges along the circumference. It is shown that it is impossible to determine the ultimate force with the help of classical fracture criteria, so a structural strength criterion formulated for axisymmetric problems is used. The relationship between fracture toughness and crack size is investigated and a two-criteria fracture diagram is constructed.

Keywords: disc-shaped crack, critical force, structural criterion, fracture toughness, short cracks.

UDC: 531

Received: 20.09.2021
Revised: 21.10.2021
Accepted: 29.11.2021

DOI: 10.15372/PMTF20220417


 English version:
Journal of Applied Mechanics and Technical Physics, 2022, 63:4, 695–701

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© Steklov Math. Inst. of RAS, 2026