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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik SamU. Estestvenno-Nauchnaya Ser., 2021 Volume 27, Issue 2, Pages 62–69 (Mi vsgu656)

Mechanics

Influence of curvature of the crack tip radius on stresses

Y. A. Gerber, A. E. Nagel, M. V. Tabanyukhova

Novosibirsk State University of Architecture and Civil Engineering (Sibstrin), Novosibirsk, Russian Federation

Abstract: In experimental mechanics, when conducting research on models, the question often arises of whether it is legitimate to replace a crack with a cut, whether the radius of curvature of the cut will have a large effect on the magnitude of stresses near its apex. In order to understand these questions and give answers to them, a number of experiments were carried out on samples made of piezo-optical material (Plexiglass of E2 grade). In the models, the crack was simulated using a cut, then a hole was made at the top of the cut with a drill. The models were investigated in pure bending by the photoelasticity method. Stress fields were obtained in two batches of samples at different loads. The intensity of stresses near cracks-cuts at different radius of curvature of their tops was determined by using the experimental data. An assessment of the influence of the crack-cut tip radius curvature on the magnitude of stresses near it has been carried out.

Keywords: experimental mechanics, models, cracks, photo-elasticity method, stress state, stress concentrators, cuts, stress fields, piezo-optical material.

UDC: 539.42

Received: 18.03.2021
Revised: 21.04.2021
Accepted: 28.05.2021

DOI: 10.18287/2541-7525-2021-27-2-62-69



© Steklov Math. Inst. of RAS, 2024