The effect of thickness on out-of-plane constraint in terms of the T-stress

The plastic zone is theoretically and numerically analyzed for various combinations of the nonsingular terms xx T to zz T ratios in connection with specimen thickness under mode I loading. The plastic zone size distribution is based on the Mises yield criterion for mode I conditions and mapped in...

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Main Author: Yu.G. Matvienko
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2014-10-01
Series:Fracture and Structural Integrity
Subjects:
Online Access:http://www.gruppofrattura.it/pdf/rivista/numero30/numero_30_art_38.pdf
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author Yu.G. Matvienko
author_facet Yu.G. Matvienko
author_sort Yu.G. Matvienko
collection DOAJ
description The plastic zone is theoretically and numerically analyzed for various combinations of the nonsingular terms xx T to zz T ratios in connection with specimen thickness under mode I loading. The plastic zone size distribution is based on the Mises yield criterion for mode I conditions and mapped in the specimen thickness direction. It is shown that the plastic zone size is affected by the zz T -stress, i.e. there is strong effect of out-of-plane constraint (thickness) on crack tip plastic zones. In addition, to study the effect of thickness and loading mode mixity (mode I and II) of the specimen on the singular (KI, KII) and the non-singular ( xx T , zz T ) terms along the 3D crack front, three-dimensional stress fields are analyzed by means of finite element analysis. The strong effect of thickness and mixed mode loading conditions on the zz T -stress is observed. At the same time, there is not the effect of thickness on the nonsingular xx T -stress at the same loading conditions.
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spelling doaj-art-83f18298858447eba3189df67e0c175b2025-01-02T23:02:24ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89931971-89932014-10-0183031131610.3221/IGF-ESIS.30.38The effect of thickness on out-of-plane constraint in terms of the T-stressYu.G. Matvienko0Mechanical Engineering Research Institute of the Russian Academy of Sciences, Moscow, RussiaThe plastic zone is theoretically and numerically analyzed for various combinations of the nonsingular terms xx T to zz T ratios in connection with specimen thickness under mode I loading. The plastic zone size distribution is based on the Mises yield criterion for mode I conditions and mapped in the specimen thickness direction. It is shown that the plastic zone size is affected by the zz T -stress, i.e. there is strong effect of out-of-plane constraint (thickness) on crack tip plastic zones. In addition, to study the effect of thickness and loading mode mixity (mode I and II) of the specimen on the singular (KI, KII) and the non-singular ( xx T , zz T ) terms along the 3D crack front, three-dimensional stress fields are analyzed by means of finite element analysis. The strong effect of thickness and mixed mode loading conditions on the zz T -stress is observed. At the same time, there is not the effect of thickness on the nonsingular xx T -stress at the same loading conditions.http://www.gruppofrattura.it/pdf/rivista/numero30/numero_30_art_38.pdfNon-singular T-StressesThicknessMixed Mode
spellingShingle Yu.G. Matvienko
The effect of thickness on out-of-plane constraint in terms of the T-stress
Fracture and Structural Integrity
Non-singular T-Stresses
Thickness
Mixed Mode
title The effect of thickness on out-of-plane constraint in terms of the T-stress
title_full The effect of thickness on out-of-plane constraint in terms of the T-stress
title_fullStr The effect of thickness on out-of-plane constraint in terms of the T-stress
title_full_unstemmed The effect of thickness on out-of-plane constraint in terms of the T-stress
title_short The effect of thickness on out-of-plane constraint in terms of the T-stress
title_sort effect of thickness on out of plane constraint in terms of the t stress
topic Non-singular T-Stresses
Thickness
Mixed Mode
url http://www.gruppofrattura.it/pdf/rivista/numero30/numero_30_art_38.pdf
work_keys_str_mv AT yugmatvienko theeffectofthicknessonoutofplaneconstraintintermsofthetstress
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