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 th...

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Main Author: Yu.G. Matvienko
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2014-09-01
Series:Fracture and Structural Integrity
Subjects:
Online Access:https://www.fracturae.com/index.php/fis/article/view/1288
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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-9ef78186f67e4fc981377aff3e53582c2025-01-03T00:40:26ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932014-09-01830The effect of thickness on out-of-plane constraint in terms of the T-stressYu.G. MatvienkoThe 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.https://www.fracturae.com/index.php/fis/article/view/1288In-plane and out-of-plane constraint
spellingShingle Yu.G. Matvienko
The effect of thickness on out-of-plane constraint in terms of the T-stress
Fracture and Structural Integrity
In-plane and out-of-plane constraint
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 In-plane and out-of-plane constraint
url https://www.fracturae.com/index.php/fis/article/view/1288
work_keys_str_mv AT yugmatvienko theeffectofthicknessonoutofplaneconstraintintermsofthetstress
AT yugmatvienko effectofthicknessonoutofplaneconstraintintermsofthetstress