Pure Bending of Strip (BEAM) with Crack in Strip of Tensile Stress with Allowance for Plastic Strips Near Crack Tips

Heorgij Sulym; Viktor Opanasovych; Mykola Slobodian; Oksana Bilash

doi:10.2478/ama-2020-0007

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Pure Bending of Strip (BEAM) with Crack in Strip of Tensile Stress with Allowance for Plastic Strips Near Crack Tips

Acta Mechanica et Automatica

Volume 14 (2020): Issue 1 (March 2020)

By: Heorgij Sulym, Viktor Opanasovych, Mykola Slobodian and Oksana Bilash

Open Access

|Apr 2020

Abstract

In the article, the pure bending problem for strip (beam) with straight, perpendicular to its axis crack located in the zone of tensile stresses is investigated on the assumption of narrow plastic strips near crack tips. Using methods of the theory of functions of a complex variable and complex potentials, the problem is reduced to the several linear conjunction problems. The solutions of latter problems are obtained in the class of functions confined in the edges of plastic strips. Formulas for the calculation of their lengths are derived. Expressions for the determination of crack tip opening values are written. Numerical analysis of the problem is performed.

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Articles in this issue

DOI: https://doi.org/10.2478/ama-2020-0007 | Journal eISSN: 2300-5319 | Journal ISSN: 1898-4088

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Language: English

Page range: 44 - 49

Submitted on: Sep 25, 2019

Accepted on: Apr 22, 2020

Published on: Apr 30, 2020

Published by: Bialystok University of Technology

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

Pure Bending,

Strip (Beam),

Crack,

Plastic Strips,

Linear Conjugation Problems

Related subjects:

Engineering,

Electrical engineering,

Electronics,

Mechanical engineering,

Mechanics,

Bioengineering and biomedical engineering,

Biomechanics,

Civil engineering,

Environmental engineering

© 2020 Heorgij Sulym, Viktor Opanasovych, Mykola Slobodian, Oksana Bilash, published by Bialystok University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 14 (2020): Issue 1 (March 2020)