Crystallographic Study of Yield Condition of Polycrystalline Metals : (3rd Report, Relation between Slip in Crystals and Yield Condition)

概要

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In order to reveal the relation between the mathematical yield condition and the number of slip planes or slip directions of a crystal, the yield stress ratio τ/σ of torsion to tension is calculated for several crystals characterized by its numbers of slip planes and slip directions, adopting Sachs model of polycrystalline aggregates. It is shown that the value τ/σ is most affected by the minor number n_m of slip planes and slip directions, and that the value τ/σ becomes smaller with the increase in n_m until it reaches 0.50 corresponding to the crystal in which slip occurs on any plane in any direction. It is also shown that the calculated value τ/σ is equal in fcc and bcc metals. However, in the case of fcc metal, the optional motion of screw dislocation is expected to reduce the value τ/σ slightly.
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