Pure bending of strip (beam) with the arbitrarily oriented cross-cutting crack

Opanasovych, V. K.; Slobodyan, M. S.; Bilash, O. V.

doi:10.17721/1812-5409.2019/1.32

Pure bending of strip (beam) with the arbitrarily oriented cross-cutting crack

Тип публікації :

Стаття

Дата випуску :

2019

Автор(и) :

Opanasovych, V. K.

Slobodyan, M. S.

Bilash, O. V.

Мова основного тексту :

Англійська

eKNUTSHIR URL :

https://ir.library.knu.ua/handle/15071834/26234

DOI :

10.17721/1812-5409.2019/1.32

Журнал :

Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics

Випуск :

1

ISSN :

1812-5409

Початкова сторінка :

142

Кінцева сторінка :

145

Цитування :

[APA 7] Opanasovych, V. K., Slobodyan, M. S., & Bilash, O. V. (2019). Pure bending of strip (beam) with the arbitrarily oriented cross-cutting crack. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics, (1), 142–145. https://doi.org/10.17721/1812-5409.2019/1.32

[ДСТУ] Opanasovych V. K., Slobodyan M. S., Bilash O. V. Pure bending of strip (beam) with the arbitrarily oriented cross-cutting crack. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics. 2019. no. 1. P. 142—145. DOI: 10.17721/1812-5409.2019/1.32 (date of access: 25.07.2026).

The problem of pure bending of strip (beam) with transverse rectilinear crack, edges of which are free from acuter load, is investigated in this paper. Under bending moment its edges may not contact or smoothly contact throughout its area length or part. Dependently on where it is located.Using methods of theory of functions of complex variable and complex potentials the problem at issue has been reduced to the problems of linear conjugation, their analytical solution is found. Explicit expressions on complex potentials is written. Based on the energy criterion of destruction stress intensity factors are determined. Limit value of moment when the crack begins to propagate is found. For the case when crack edges partially contact, area length of contact of her edges is determined. Numerical analysis of critical moment of failure of strip (beams) is performed under various parameters of the problem, which are related to the mechanical state of crack. The corresponding graphic dependencies are constructed.Key words: crack, strip (beam), complex potentials, bending moment, stress intensity factors.Pages of the article in the issue: 142-145Language of the article: Ukrainian

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1.1 MB

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(MD5):b708b1ea08191fae1c08bc30aed5798f

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