The concept of the average stress in the fracture process zone for the search of the crack path

The concept of the average stress has been employed to propose the maximum average tangential stress (MATS) criterion for predicting the direction of fracture angle. This criterion states that a crack grows when the maximum average tangential stress in the fracture process zone ahead of the crack...

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Main Authors: Yu.G. Matvienko, M.M. Semenova
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2015-10-01
Series:Fracture and Structural Integrity
Subjects:
Online Access:http://www.gruppofrattura.it/pdf/rivista/numero34/numero_34_art_27.pdf
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author Yu.G. Matvienko
M.M. Semenova
author_facet Yu.G. Matvienko
M.M. Semenova
author_sort Yu.G. Matvienko
collection DOAJ
description The concept of the average stress has been employed to propose the maximum average tangential stress (MATS) criterion for predicting the direction of fracture angle. This criterion states that a crack grows when the maximum average tangential stress in the fracture process zone ahead of the crack tip reaches its critical value and the crack growth direction coincides with the direction of the maximum average tangential stress along a constant radius around the crack tip. The tangential stress is described by the singular and nonsingular (T-stress) terms in the Williams series solution. To demonstrate the validity of the proposed MATS criterion, this criterion is directly applied to experiments reported in the literature for the mixed mode I/II crack growth behavior of Guiting limestone. The predicted directions of fracture angle are consistent with the experimental data. The concept of the average stress has been also employed to predict the surface crack path under rolling-sliding contact loading. The proposed model considers the size and orientation of the initial crack, normal and tangential loading due to rolling–sliding contact as well as the influence of fluid trapped inside the crack by a hydraulic pressure mechanism. The MATS criterion is directly applied to equivalent contact model for surface crack growth on a gear tooth flank.
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1971-8993
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series Fracture and Structural Integrity
spelling doaj-art-0a8ccfea856c4aaf85cae917c9c38e592025-01-02T23:00:57ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89931971-89932015-10-0193425526010.3221/IGF-ESIS.34.27The concept of the average stress in the fracture process zone for the search of the crack pathYu.G. Matvienko0M.M. Semenova1Russian Academy of Sciences, Russia.Russian Academy of Sciences, Russia.The concept of the average stress has been employed to propose the maximum average tangential stress (MATS) criterion for predicting the direction of fracture angle. This criterion states that a crack grows when the maximum average tangential stress in the fracture process zone ahead of the crack tip reaches its critical value and the crack growth direction coincides with the direction of the maximum average tangential stress along a constant radius around the crack tip. The tangential stress is described by the singular and nonsingular (T-stress) terms in the Williams series solution. To demonstrate the validity of the proposed MATS criterion, this criterion is directly applied to experiments reported in the literature for the mixed mode I/II crack growth behavior of Guiting limestone. The predicted directions of fracture angle are consistent with the experimental data. The concept of the average stress has been also employed to predict the surface crack path under rolling-sliding contact loading. The proposed model considers the size and orientation of the initial crack, normal and tangential loading due to rolling–sliding contact as well as the influence of fluid trapped inside the crack by a hydraulic pressure mechanism. The MATS criterion is directly applied to equivalent contact model for surface crack growth on a gear tooth flank.http://www.gruppofrattura.it/pdf/rivista/numero34/numero_34_art_27.pdfCrack pathMaximum average tangential stressT-stressMixed modeRolling-sliding
spellingShingle Yu.G. Matvienko
M.M. Semenova
The concept of the average stress in the fracture process zone for the search of the crack path
Fracture and Structural Integrity
Crack path
Maximum average tangential stress
T-stress
Mixed mode
Rolling-sliding
title The concept of the average stress in the fracture process zone for the search of the crack path
title_full The concept of the average stress in the fracture process zone for the search of the crack path
title_fullStr The concept of the average stress in the fracture process zone for the search of the crack path
title_full_unstemmed The concept of the average stress in the fracture process zone for the search of the crack path
title_short The concept of the average stress in the fracture process zone for the search of the crack path
title_sort concept of the average stress in the fracture process zone for the search of the crack path
topic Crack path
Maximum average tangential stress
T-stress
Mixed mode
Rolling-sliding
url http://www.gruppofrattura.it/pdf/rivista/numero34/numero_34_art_27.pdf
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