The effect of out-of-plane constraint in terms of the T-stress in connection with specimen thickness

•The effect of the non-singular terms is analyzed in connection with specimen thickness.•There is strong effect of out-of-plane constraint on crack tip plastic zones.•The theoretical results are compared with the results computed by FEM.•The increase of specimen thickness leads to the increase of cr...

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Bibliographic Details
Published in:Theoretical and applied fracture mechanics 2015-12, Vol.80 (Part A), p.49-56
Main Author: Matvienko, Yu.G.
Format: Article
Language:English
Subjects:
Constraint components
Criteria
Finite element method
Fracture mechanics
Mathematical analysis
Mixed mode
Non-singular T-stresses
Numerical analysis
Plastic zone
Plastic zones
Specimen thickness
Stresses
Three dimensional
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Summary:•The effect of the non-singular terms is analyzed in connection with specimen thickness.•There is strong effect of out-of-plane constraint on crack tip plastic zones.•The theoretical results are compared with the results computed by FEM.•The increase of specimen thickness leads to the increase of crack tip constraint. The present study focuses on theoretical and numerical analysis of the joint effect of the non-singular Txx and Tzz-stresses on sizes of the plastic zone in the vicinity of the crack tip under mode I loading conditions. The three-dimensional crack tip stresses including Txx and Tzz stresses are incorporated into the von Mises yield criterion to develop an expression that models the crack tip plastic zone. The plastic zone size distribution is mapped for the middle plane of CT specimens. It is shown that the plastic zone size is affected by the Tzz-stress, i.e. there is strong effect of out-of-plane constraint (specimen thickness) on crack tip plastic zones. The theoretical results are compared with the results computed by finite element method. 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 (Txx, Tzz) terms along crack front, three-dimensional stress fields are analyzed by means of finite element analysis. The strong effect of specimen thickness and mixed mode loading conditions on the Tzz-stress is observed. At the same time, there is not the effect of specimen thickness on the non-singular Txx-stress at same loading conditions.
ISSN:0167-8442
1872-7638
DOI:10.1016/j.tafmec.2015.05.007