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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2023 Volume 64, Issue 5, Pages 159–165 (Mi pmtf1818)

This article is cited in 1 paper

Effect of a linear parameter on the brittle fracture of an elastic layer with a circular hole

V. V. Glagolev, A. A. Markin

Tula State University, Tula, Russia

Abstract: The effect of a hole radius in an elastic layer on a critical external load at the moment of the onset of fracture, determined by the energy criterion, is investigated. Using the free energy flow through an interaction arc as a fracture criterion makes it possible to describe the dependence of the critical external load on the hole radius. The length of the interaction arc constructed in the vicinity of a free energy peak point is determined using a linear parameter. The introduced linear parameter for a polymethyl methacrylate layer is obtained using known experimental data. The maximum value of the linear parameter can be taken as a material constant.

Keywords: fracture of a material volume, linear parameter, fracture criterion, Kirsch problem, interaction arc.

UDC: 539.375

Received: 31.01.2023
Revised: 27.03.2023
Accepted: 24.04.2023

DOI: 10.15372/PMTF202315252


 English version:
Journal of Applied Mechanics and Technical Physics, 2024, 64:5, 871–877

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© Steklov Math. Inst. of RAS, 2024