Abstract
This study is aimed at assessing the crystallographic growth of fatigue cracks by means of the vector crack tip displacement ( C T D ¯ ) criterion. The geometry of crack tip sliding displacements ( C T S D ¯ ) along the persistent slip bands (PSBs) ahead of the tips of crystallographic cracks in stage I, extended stage I and stage II is considered and suggests that the driving force of the cracks essentially arises from the Δ C T S D ¯ , whereas the Δ C T O D ¯ a resultant of the Δ C T S D S ¯ along the secondary PSB and the Δ C T S D P ¯ along the primary one. A three-dimensional crystallographic crack in extended stage I in an infinite anisotropic medium is modeled. For the crack with relative short slip bands in comparison with the crack length, the modulus of vector CTD and its components are deduced and shown to be dependent on the applied stress, the orientation and the elastic and plastic anisotropy of the crystal. Experimental data of crystallographic growth in aluminum bicrystals are presented and compared with the prediction by use of vector CTD criterion.
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