January 1969
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Journal of the Japan Institute of Metals and Materials
The pressure-induced brittle ductile transition in polycrystalline zinc was examined, with special reference to the variation of transition pressure with the grain size of specimens. Fracture stress σfr in the brittle pressure range increases linearly with pressure P applied and is expressed as (This article is not displayable. Please see full text pdf.) where a constant η is nearly 0.35 and σfr(0) is the fracture stress at ambient pressure. The pressure-induced transition has been found to occur when the fracture stress reaches the necking stress σn. The variation of transition pressure Pc with grain size comes from the dependence of σfr(0) on grain diameter d of specimens, i.e. σfr(0)=Kfrd−1⁄2, where Kfr is a constant, and the following relation is established: (This article is not displayable. Please see full text pdf.) Generally speaking, Pc does not vary linearly with d−1⁄2, since the necking stress σn also depends on grain size. However, within a narrow grain size range in which the variation of σn is rather small, Pc satisfies the relation Pc∝d−1⁄2. Finally, the rapid or discontineous increase of ductility of zinc at the transition pressure has been explained on the basis of the previously proposed criterion of ductile fracture, viz. “the constancy of hydrostatic tensile stress”.