DataVXApplied SciencesPaper
journal article·2020-03-17Open access

Bending by Concentrated Force of a Cantilever Strip Having a Through-thickness Crack Perpendicular to Its Axis

Mykhaylo Delyavskyy, Viktor Opanasovych, Oksana Bilash

Applied Sciences· Volume 10· Issue 6
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Source abstract

Abstract

The article focuses on the bending problem for a cantilever beam with a straight through-thickness crack, perpendicular to its axis under bending by concentrated force. Depending on the crack location in relation to the axis, crack faces may be in three states: perfect contact, particular contact, or noncontact. Using the theory of functions of complex variable and complex potentials, the considered problem was reduced to a linear conjunction one. An analytical solution of the problem was obtained. In the case of particular contact, the length of the contact area and stress intensity factors were determined. The ultimate force that causes beam destruction was determined. Numerical analyses of the problem were also performed.
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Research context

OpenAlex topics: Elasticity and Wave Propagation · Structural mechanics and materials · Material Properties and Failure Mechanisms

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Affiliations

Department of Mechanics Construction and Buildings Materials, Faculty of Civil, Architecture and Environmental Engineering, UTP University of Science and Technology, Al. prof. S. Kaliskiego 7, 85-796 Bydgoszcz, Poland

Department of Mechanics, Faculty of Mechanics and Mathematics, The Ivan Franko National University of Lviv, Universytetska Street, 1, 79000 Lviv, Ukraine

Department of Engineering Mechanics (Weapons and Equipment of Military Engineering Forces), Faculty training specialists battle (operational) software, Hetman Petro Sahaidachnyi National Army Academy, Heroes of Maidan street, 32, 79026 Lviv, Ukraine

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