Predicting the crack path in a wedge under a concentrated tensile force by means of variational principle

Variational principle of brittle fracture mechanics is employed to predict the crack path in an infinite wedge under a concentrated tensile force. The weight function in basic equation of variational problem is assumed to be proportional to the maximum strain in the uncracked wedge. Obtained equatio...

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Main Authors:	Nataliya S. Popova, Evgeny M. Morozov, Yury G. Matvienko
Format:	Article
Language:	English
Published:	Gruppo Italiano Frattura 2019-07-01
Series:	Frattura ed Integrità Strutturale
Subjects:	Crack path Variational principle Wedge Concentrated tensile force
Online Access:	https://www.fracturae.com/index.php/fis/article/view/2447/2531

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spelling	doaj-09c515774efe4c9f81e6dceeb6c763e42020-11-25T02:18:33ZengGruppo Italiano FratturaFrattura ed Integrità Strutturale1971-89932019-07-01134926727110.3221/IGF-ESIS.49.2610.3221/IGF-ESIS.49.26Predicting the crack path in a wedge under a concentrated tensile force by means of variational principleNataliya S. PopovaEvgeny M. MorozovYury G. MatvienkoVariational principle of brittle fracture mechanics is employed to predict the crack path in an infinite wedge under a concentrated tensile force. The weight function in basic equation of variational problem is assumed to be proportional to the maximum strain in the uncracked wedge. Obtained equation for solving the variational problem allowed predicting the crack path in general. The predicted crack path is in agreement with experimental results obtained in the case of the truncated wedge.https://www.fracturae.com/index.php/fis/article/view/2447/2531Crack pathVariational principleWedgeConcentrated tensile force
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Nataliya S. Popova Evgeny M. Morozov Yury G. Matvienko
spellingShingle	Nataliya S. Popova Evgeny M. Morozov Yury G. Matvienko Predicting the crack path in a wedge under a concentrated tensile force by means of variational principle Frattura ed Integrità Strutturale Crack path Variational principle Wedge Concentrated tensile force
author_facet	Nataliya S. Popova Evgeny M. Morozov Yury G. Matvienko
author_sort	Nataliya S. Popova
title	Predicting the crack path in a wedge under a concentrated tensile force by means of variational principle
title_short	Predicting the crack path in a wedge under a concentrated tensile force by means of variational principle
title_full	Predicting the crack path in a wedge under a concentrated tensile force by means of variational principle
title_fullStr	Predicting the crack path in a wedge under a concentrated tensile force by means of variational principle
title_full_unstemmed	Predicting the crack path in a wedge under a concentrated tensile force by means of variational principle
title_sort	predicting the crack path in a wedge under a concentrated tensile force by means of variational principle
publisher	Gruppo Italiano Frattura
series	Frattura ed Integrità Strutturale
issn	1971-8993
publishDate	2019-07-01
description	Variational principle of brittle fracture mechanics is employed to predict the crack path in an infinite wedge under a concentrated tensile force. The weight function in basic equation of variational problem is assumed to be proportional to the maximum strain in the uncracked wedge. Obtained equation for solving the variational problem allowed predicting the crack path in general. The predicted crack path is in agreement with experimental results obtained in the case of the truncated wedge.
topic	Crack path Variational principle Wedge Concentrated tensile force
url	https://www.fracturae.com/index.php/fis/article/view/2447/2531
work_keys_str_mv	AT nataliyaspopova predictingthecrackpathinawedgeunderaconcentratedtensileforcebymeansofvariationalprinciple AT evgenymmorozov predictingthecrackpathinawedgeunderaconcentratedtensileforcebymeansofvariationalprinciple AT yurygmatvienko predictingthecrackpathinawedgeunderaconcentratedtensileforcebymeansofvariationalprinciple
_version_	1724881471829704704

Predicting the crack path in a wedge under a concentrated tensile force by means of variational principle

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