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

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 pote...

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Main Authors:	Sulym Heorgij, Opanasovych Viktor, Slobodian Mykola, Bilash Oksana
Format:	Article
Language:	English
Published:	Sciendo 2020-03-01
Series:	Acta Mechanica et Automatica
Subjects:	pure bending strip (beam) crack plastic strips linear conjugation problems
Online Access:	https://doi.org/10.2478/ama-2020-0007

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spelling	doaj-d2066daad36640f59f327defd773eb612021-09-06T19:41:06ZengSciendoActa Mechanica et Automatica 2300-53192020-03-01141444910.2478/ama-2020-0007ama-2020-0007Pure Bending of Strip (BEAM) with Crack in Strip of Tensile Stress with Allowance for Plastic Strips Near Crack TipsSulym Heorgij0Opanasovych Viktor1Slobodian Mykola2Bilash Oksana3Department of Mechanics and Applied Computer Science Application, Faculty of Mechanical Engineering, Bialystok University of Technology, ul. Wiejska 45 C, 15-351Bialystok, PolandFaculty of Mechanics and Mathematics, Department of Mechanics, Ivan Franko National University of Lviv, Universytetska Street, 1, Lviv, 79000, UkraineFaculty of Mechanics and Mathematics, Department of Mechanics, Ivan Franko National University of Lviv, Universytetska Street, 1, Lviv, 79000, UkraineFaculty Training Specialists Battle (Operational) Software, Department of Engineering Mechanics, Hetman Petro Sahaidachnyi National Army Academy, Heroes of Maidan Street, 32, Lviv, UkraineIn 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.https://doi.org/10.2478/ama-2020-0007pure bendingstrip (beam)crackplastic stripslinear conjugation problems
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Sulym Heorgij Opanasovych Viktor Slobodian Mykola Bilash Oksana
spellingShingle	Sulym Heorgij Opanasovych Viktor Slobodian Mykola Bilash Oksana Pure Bending of Strip (BEAM) with Crack in Strip of Tensile Stress with Allowance for Plastic Strips Near Crack Tips Acta Mechanica et Automatica pure bending strip (beam) crack plastic strips linear conjugation problems
author_facet	Sulym Heorgij Opanasovych Viktor Slobodian Mykola Bilash Oksana
author_sort	Sulym Heorgij
title	Pure Bending of Strip (BEAM) with Crack in Strip of Tensile Stress with Allowance for Plastic Strips Near Crack Tips
title_short	Pure Bending of Strip (BEAM) with Crack in Strip of Tensile Stress with Allowance for Plastic Strips Near Crack Tips
title_full	Pure Bending of Strip (BEAM) with Crack in Strip of Tensile Stress with Allowance for Plastic Strips Near Crack Tips
title_fullStr	Pure Bending of Strip (BEAM) with Crack in Strip of Tensile Stress with Allowance for Plastic Strips Near Crack Tips
title_full_unstemmed	Pure Bending of Strip (BEAM) with Crack in Strip of Tensile Stress with Allowance for Plastic Strips Near Crack Tips
title_sort	pure bending of strip (beam) with crack in strip of tensile stress with allowance for plastic strips near crack tips
publisher	Sciendo
series	Acta Mechanica et Automatica
issn	2300-5319
publishDate	2020-03-01
description	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.
topic	pure bending strip (beam) crack plastic strips linear conjugation problems
url	https://doi.org/10.2478/ama-2020-0007
work_keys_str_mv	AT sulymheorgij purebendingofstripbeamwithcrackinstripoftensilestresswithallowanceforplasticstripsnearcracktips AT opanasovychviktor purebendingofstripbeamwithcrackinstripoftensilestresswithallowanceforplasticstripsnearcracktips AT slobodianmykola purebendingofstripbeamwithcrackinstripoftensilestresswithallowanceforplasticstripsnearcracktips AT bilashoksana purebendingofstripbeamwithcrackinstripoftensilestresswithallowanceforplasticstripsnearcracktips
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Pure Bending of Strip (BEAM) with Crack in Strip of Tensile Stress with Allowance for Plastic Strips Near Crack Tips

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