The Flow-Stress Asymmetry of Ultra-Pure Molybdenum Single Crystals

Abstract

Cyclic deformation experiments by the Mughrabi-Ackermann technique (predeformation with plastic shear-strain amplitude e 0 pI /2 = 1 x 10 -3 at 530 K till saturation) have been performed on a molybdenum single crystal of ultra-high purity (residual resistivity ratio RRR 0 4 × 10 5 ; angle X = 29° between the plane of maximum resolved shear stress and the {110} slip system with largest Schmid factor), covering the temperature range 123 K ≤ T ≤ 460 K and seven logarithmically spaced strain rates (1.0 x 10 -6 s -1 ≤ |e pI | ≤ 1.0 × 10 -3 s -1 ). The analysis of the effective flow stress σ * in terms of the kink pair-formation theory gave the same results as the earlier experiments on Mo crystals of the same high purity but with smaller X [L. Hollang, M. Hommel, and A. Seeger, phys. stat. sol. (a) 160 (1996) 329] both for the energy of two isolated kinks in (111)a 0 /2 screw dislocations, 2H k = 1.27 eV, and for the kink height a, which agreed with the distance a {112} between neighbouring Peierls valleys on the {112} planes. The transition between the elastic-interaction approximation and the line-tension approximation of the kink pair-formation theory, which is responsible for the strain rate-dependent upper bend in the σ * -T relationship, occurred at σ * = 110 MPa. In agreement with theoretical predictions, at effective stresses less than σ * the flow stress was the same in tension and compression, i.e., there was no flow-stress asymmetry, Below the upper-bend temperature, T, the flow-stress asymmetry Aa (=algebraic sum of the positive flow stress in tension and the negative flow stress in compression) increased with decreasing temperature, was positive in agreement with the twinning-anti-twinning rule, and reached a plateau at the lowest temperatures investigated. Since for reasons of symmetry, slip on {110} cannot give rise to a flow-stress asymmetry, together with a = a {112} this result confirms that over the entire temperature range investigated the elementary slip steps take place on {112} planes. In the other two ultrahigh-purity crystals investigated (X = 0°,21°), the flow-stress asymmetry has the opposite sign (in violation of the twinning-anti-twinning rule) and, at low temperatures, much smaller absolute values than at X 30°. Furthermore, Aa < 0 extends to temperatures well above T. Hence there must exist, in addition to the twinning-anti-twinning asymmetry, a further asymmetry-producing mechanism (dubbed straining asymmetry), for which the following model is proposed. In the bcc metals the screw-dislocation cores of lowest energy have {110} slip planes; the configuration with {112} slip planes is populated by thermal activation. Tensile strain normal to the {112} slip plane reduces the difference in the line energy of the two configurations and, as a consequence, the Peierls potential on the {112} slip plane. Compression strain has the opposite effect.