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