<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Department of Mechanics and Applied Computer Science Application, Faculty of Mechanical Engineering

Faculty of Mechanics and Mathematics, Department of Mechanics

Faculty Training Specialists Battle (Operational) Software, Department of Engineering Mechanics

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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...

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

Published Online: Apr 30, 2020

Page range: 44 - 49

Received: Sep 25, 2019

Accepted: Apr 22, 2020

DOI: https://doi.org/10.2478/ama-2020-0007

Keywords
Pure Bending, Strip (Beam), Crack, Plastic Strips, Linear Conjugation Problems

© 2020 Heorgij Sulym et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Apr 30, 2020

Page range: 44 - 49

Received: Sep 25, 2019

Accepted: Apr 22, 2020

DOI: https://doi.org/10.2478/ama-2020-0007

KeywordsPure Bending, Strip (Beam), Crack, Plastic Strips, Linear Conjugation Problems

© 2020 Heorgij Sulym et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Pure Bending, Strip (Beam), Crack, Plastic Strips, Linear Conjugation Problems