Pure Bending of Strip (BEAM) with Crack in Strip of Tensile Stress with Allowance for Plastic Strips Near Crack Tips-Reference-Cited by-同舟云学术

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

Published:2020-03-01 Issue:1 Volume:14 Page:44-49
ISSN:2300-5319
Container-title:Acta Mechanica et Automatica
language:en
Short-container-title:

Author:

Sulym Heorgij¹,Opanasovych Viktor²,Slobodian Mykola²,Bilash Oksana³

Affiliation:

1. Department of Mechanics and Applied Computer Science Application, Faculty of Mechanical Engineering , Bialystok University of Technology , ul. Wiejska 45 C, 15-351 Bialystok , Poland

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

3. Faculty Training Specialists Battle (Operational) Software, Department of Engineering Mechanics , Hetman Petro Sahaidachnyi National Army Academy , Heroes of Maidan Street, 32, Lviv , Ukraine

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Mechanical Engineering,Control and Systems Engineering

Link

https://www.sciendo.com/pdf/10.2478/ama-2020-0007

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