RESEARCH PAPER
Pure Bending of Strip (BEAM) with Crack in Strip of Tensile Stress with Allowance for Plastic Strips Near Crack Tips
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
Submission date: 2019-09-25
Acceptance date: 2020-04-22
Online publication date: 2020-04-30
Publication date: 2020-03-01
Acta Mechanica et Automatica 2020;14(1):44-49
KEYWORDS
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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| eISSN: | 2300-5319 |
| ISSN: | 1898-4088 |
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