CRITICAL RESOLVED SHEAR STRESS OF LEAD

1967 ◽  
Vol 45 (2) ◽  
pp. 1189-1207 ◽  
Author(s):  
F. Weinberg

Measurements of the critical resolved shear stress of lead are reported as a function of temperature, purity, solute additions, and orientation. By annealing in situ it was found that the value of the CRSS can be reduced, the scatter between specimens decreased, and the same specimen can be tested a number of times.Over the temperature range 4.2 °K to 600 °K (the melting point) the CRSS decreased from 53 g/mm2 to approximately 10 g/mm2. Between 100 °K and 300 °K the temperature dependence of the CRSS is the same as that of the shear modulus.It was found that the CRSS is relatively insensitive to differences in the trace impurity level and to solute additions of 0.1% Sn and 0.02% Cu. Additions of 1.0% Sn appreciably increase the CRSS at low temperatures.The orientation dependence of the CRSS is similar to that shown for copper, with higher values at the edges and corners of the stereographic triangle.Under optimum conditions the average value of the CRSS of lead is 34 g/mm2 at 78 °K. This value is anomalously high when compared to that of copper, using σ α [Formula: see text] for the flow stress to make the comparison.

2007 ◽  
Vol 561-565 ◽  
pp. 459-462
Author(s):  
Katsushi Tanaka ◽  
Hiromitsu Ide ◽  
Yoshinori Sumi ◽  
Kyosuke Kishida ◽  
Haruyuki Inui

Compressive deformation of L10-ordered single crystals of FePd whose c/a ratio less than unity have been investigated from room temperature to 823 K. The results show that the critical resolved shear stress (CRSS) for octahedral glide of ordinary dislocations is smaller than that of super-lattice dislocations in all the temperature range investigated, that is the opposite sense to the case of Ti-56 mol% Al. The CRSS for ordinary dislocations virtually independent to the temperature. On the other hand, the CRSS for super dislocations exhibits a weak positive temperature dependence from room temperature up to 573 K and decreases in higher temperatures.


2008 ◽  
Vol 1128 ◽  
Author(s):  
Katsushi Tanaka ◽  
Wang Chen ◽  
Kyosuke Kishida ◽  
Norihiko L. Okamoto ◽  
Haruyuki Inui

AbstractCompressive deformations of L10-ordered single crystals of FePd have been investigated from room temperature to 873 K. The critical resolved shear stress for superlattice dislocations is hard to determine resulting from buckling that occurs after a small amount of conventional plastic deformation. The CRSS for superlattice dislocations determined from yield stress is significantly larger than that of ordinary dislocations. The CRSS for octahedral glide of ordinary and superlattice dislocations are virtually independent of the temperature, and the positive temperature dependence of the yield stress is not observed for both, ordinary and superlattice dislocations, by the present experiments.


2014 ◽  
Vol 1013 ◽  
pp. 264-271
Author(s):  
Olga Ivanova ◽  
Irina Kireeva ◽  
Yuri Chumlyakov

The proposed dislocation model describes the orientation dependence of the critical resolved shear stress (CRSS) and deformation mechanisms on the yield point in single crystals of austenitic stainless steel with nitrogen impurities. The model takes into account the following: the change of the interstitial atom position in the lattice from octahedral interstice to tetrahedral site owing to passage of a leading Shockley’s partial dislocation; the change in the separation width between two partial dislocation in external stress field; the relationship between the width of the extended dislocation and the elastic interaction of the extended dislocation with the impurity atoms.


A purely mechanical mechanism of the room-temperature wear of hard non-metallic crystals, when traversed by considerably softer lubricated metal cones, has been observed. The contact pressure transmitted to the crystal is directly related to the flow stress of the slider and is therefore dependent on the metal used. It is shown that when this pressure is above a certain threshold level, i. e. just enough to exceed the critical resolved shear stress within the crystal, then dislocations move and multiply in the hard solid. The full dimensional extent of this movement, the dislocated volume, is essentially developed on the first load cycle and is determined in a given crystal primarily by the magnitude of the applied load. Repeated traversals increase the density of defects in this dislocated volume and produce significant work-hardening. The level of work-hardening saturates within comparatively few traversals (typically about twenty) and the degree of work-hardening is limited by the ultimate hardness of the slider ( H u ), or is curtailed by the onset of fracture. A linear relation between H u , varied by using sliders of different metals, and the subsequent hardness of the work-hardened surface ( H t ) is observed for the (001) surfaces of crystals of magnesium oxide, nickel oxide and titanium carbide. The flow stress of the softest metal to induce work-hardening may be used to estimate the critical resolved shear stress of the hard crystal, as shown here for titanium carbide. Further traversals, beyond those necessary to develop a saturation level of work-hardening, generally lead to the formation of surface cracks and catastrophic fragmentation. The number of traversals ( N c ) required to cause this surface fragmentation and accelerated wear is inversely related to the ultimate hardness of the slider, is independent of the normal load, but is dependent on the crystallographic plane and direction of sliding. A plot of H u : N c resembles a conventional fatigue curve and indicates that the surface will not fail when deformed by sliders below a certain limiting value of H u . The cracks that initiate final failure are shown to be generated at the surface, while subsurface cracks, lying on crystallographic planes parallel to the surface, may be formed during initial traversals well before N c . The wear resistance of nickel oxide is superior to that of MgO, although NiO is softer than MgO. Finally, the mechanism of work-hardening is discussed in terms of the interaction of dislocations on obliquely intersecting slip planes, as in conventional stage II work-hardening. The localized stress concentration around the dislocation debris produced by these interactions, in the near-surface layers, is considered to be responsible for the initiation of the cracks that precipitate fragmentation.


1994 ◽  
Vol 364 ◽  
Author(s):  
P. Spätig ◽  
J. Bonneville ◽  
J.-L. Martin

AbstractNi3(Al,Ta) single crystals have been deformed in compression in the temperature range of the flow stress anomaly (293–780K). The strain-rate sensitivity (SRS) of the flow stress has been characterised by using a technique of repeated stress relaxations that allows for the measurement of the true (or effective) activation volume (Veff). When measured at the conventional critical resolved shear stress (CRSS), Veff exhibits as a function of temperature a sharp discontinuity close to 470K. When the temperature is held constant (420K), the discontinuity of Veff occurs along the stress-strain curve at approximately 3% strain; the stress for both discontinuities is approximately the same. These results suggest a change in the rate controlling mechanism that is dependent on stress as much or more than temperature.


2000 ◽  
Vol 15 (4) ◽  
pp. 951-960 ◽  
Author(s):  
Shuqi Guo ◽  
Yutaka Kagawa

Temperature dependence of in situ fiber strength, effective interface shear stress, Young's modulus of matrix, and matrix fracture energy in a polymer-infiltrationpyrolysis (PIP)-processed two-dimensional plain-woven fabric carbon-coated Nicalon™ SiC fiber-reinforced SiC matrix composite was studied through a tensile test in air at 298 (room temperature), 800, and 1200 K. In situ fiber strength and effective interface shear stress were determined by fracture mirror size and fiber pullout length measurements, respectively. The fiber strength was insensitive to test temperature up to 800 K but dropped significantly at 1200 K. Conversely, the interface shear stress showed a strong temperature dependence, decreasing at 800 K and drastically increasing at 1200 K. The temperature dependence of both values was reasonably explained. Temperature dependence of Young's modulus of matrix was derived from Young's modulus of the composite and fiber and ranged from ≈40 to ≈38 GPa. Matrix fracture energy was also determined from the transverse matrix cracking stress and ranged from ≈16 to ≈5.5 J/m2. Both Young's modulus of matrix and the matrix fracture energy showed only slight temperature dependence up to 800 K; however, both values decreased significantly at 1200 K.


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