Elastic interaction between a dilatation centre and split dislocations in b.c.c. metals

The elastic interaction energy between a dilatation centre and 1/2[111] dislocation split on {110} planes in b.c.c. metals is calculated for sessile and planar splittings of screw dislocation and for planar splitting of edge dislocation; the splitting is considered as a model of the dislocation core. It is concluded that the interstitial impurity atom has three or four possible minimum energy positions in the dislocation core. A hypothesis on the impurity jumps in the dislocation core is proposed.On leave from theInstitute of Physics, Hanoi, VDR.     

Diffusion and solubility of some interstitial impurities in deformed metals

Summary The problem of impurity diffusion accompanying segregation phase nucleation on dislocations has been studied using the approximation of the local equilibrium with respect to the impurity distribution between the volume solution and dislocation regions. It has been shown that the known experimental data on diffusion and solubility of some interstitial impurities in cold-worked b.c.c. and f.c.c. metals and alloys can be described in the framework of the dislocation trap model. The characteristics of the impurity segregation regions near dislocations have been obtained from the treatment of the diffusion and solubility data for the systems. On the basis of the crystallographic and thermodynamic considerations the possibility of the existence of such segregation phase regions along dislocations in the systems in question has been shown.     

Thermal dislocation depinning in a deformed crystal

The temperature dependence of the dislocation mobility threshold is investigated on the basis of a dislocation model suggested by Frenkel-Kontorova. The critical value is obtained for the stress/temperature, corresponding to the dislocation depinning from its equilibrium position. The universal behaviour of a barrier height at finite stress and temperature is revealed and investigated.     

Peierls-Nabarro model of planar dislocation cores in b.c.c. crystals

Planar dislocation cores on {110} and {112} planes in b.c.c. crystals are studied using the Peierls-Nabarro model with force laws derived from four different interatomic potentials. A numerical iterative method suitable for solution of the Peierls-Nabarro equation is developed. The cores are represented by a continuous distribution of dislocations. The discussion of the correlation between the force laws and corresponding dislocation densities is based on the properties of the Hilbert transform.     

Surface stress mediated image force and torque on an edge dislocation

The proximity of interfaces gives prominence to image forces experienced by dislocations. The presence of surface stress alters the traction-free boundary conditions existing on free-surfaces and hence is expected to alter the magnitude of the image force. In the current work, using a combined simulation of surface stress and an edge dislocation in a semi-infinite body, we evaluate the configurational effects on the system. We demonstrate that if the extra half-plane of the edge dislocation is parallel to the surface, the image force (glide) is not altered due to surface stress; however, the dislocation experiences a torque. The surface stress breaks the ‘climb image force’ symmetry, thus leading to non-equivalence between positive and negative climb. We discover an equilibrium position for the edge dislocation in the positive ‘climb geometry’, arising due to a competition between the interaction of the dislocation stress fields with the surface stress and the image dislocation. Torque in the climb configuration is not affected by surface stress (remains zero). Surface stress is computed using a recently developed two-scale model based on Shuttleworth’s idea and image forces using a finite element model developed earlier. The effect of surface stress on the image force and torque experienced by the dislocation monopole is analysed using illustrative 3D models.     

Peierls-Nabarro model of non-planar screw dislocation cores

The Peierls-Nabarro model originally developed for dislocations with planar cores is modified to describe the cores of screw dislocations extended along two or three intersecting slip planes, under the action of external stress. This concept generalizes the simplified concept of sessile splitting of screw dislocations into singular partials and enables an instructive interpretation of fully atomistic models of screw dislocation cores developed recently for b.c.c. metals. As an example, a numerical solution of the modified Peierls-Nabarro equation is given for the equilibrium configuration of a 1/2 [111] screw dislocation core in -Fe extended along three {110} planes.     

Experimental verification of Foreman dislocation model

We present a strain analysis of an edge dislocation core, and a detailed discussion of the Foreman dislocation model. In order to examine the model, the quantitative measurement of strain field around an edge dislocation in aluminum is performed, and high-resolution transmission electron microscopy and geometric phase analysis are employed to map the strain field of the edge dislocation core in aluminum. The strain measurements are compared with the Foreman dislocation model, showing that they are in good agreement with each other when 0.7 ≤ a ≤ 1.5.     

Sessile splitting of screw dislocations in b.c.c. metals

The energies of six different sessile splittings of screw dislocation 1/2 [111], which can occur in b.c.c. metals assuming the stacking faults on {110} and {112} planes according to the hard sphere model, are compared. The regions of the values of stacking fault energies on {110} and {112} planes, in which a given splitting is favoured over the other five, are then shown.     

Tunneling of screw dislocations in α-Fe

A model of tunneling of 1/2 [111] screw dislocations in b.c.c. metals from sessile to glissile core configurations described by dislocation splittings is proposed and numerical estimates for α-Fe are derived. The critical shear stress of the order of 50 kp/mm² should be temperature independent up to 8 K.     

Orientation effects in interaction of screw dislocation with interstitial impurity atom in b.c.c. lattice

The cross-slip and pinning of a 1/2a〈111〉 screw dislocation in b.c.c. metals in the vicinity of an interstitial impurity atom are studied in dependence on crystal orientation. To this purpose, the interaction energy between the dislocation and an interstitial atom is calculated in an anisotropic elastic continuum and it is assumed that the screw dislocation moves microscopically on {112} or {110} planes between its stable configuration positions in b.c.c. lattice. It is found that the probability of induced cross-slip is orientation dependent. This result is used for discussion of orientation dependence of the change of CRSS due to increased carbon content which was experimentally determined for Fe-3.2% Si alloy single crystals in a previous paper (Blahovec J., Kade?ková S.: Czech. J. Phys.B 21 (1971), 846).     

Optical and electronic transport anisotropies in plastically deformed CdS

Measurements of polarized optical transmission and reflectivity in the region of the fundamental gap, as well as of the electrical conductivity of plastically deformed CdS were made to probe the electronic properties of this material. From the observed anisotropies in the d.c. electrical conductivity and in optical absorption, a model is suggested to explain the observed features in terms of dislocation energy bands.     

The effect of a dislocation network on plastic strain in Fe-Si

The paper describes the way a dislocation network affects the course of plastic strain in Fe-Si. It is found that the dislocation network causes a decrease in elongation, a faster — relative to strain in recrystallized material — growth of the density of dislocations, and susceptibility to twinning.On the basis of experimental evidence, an attempt is made to establish a relation between the dislocation network, the dislocation barrier of Friedel, and twinning.     

Dislocation density growth in copper during homogeneization quenching

In this paper it has been experimentally proved that the dislocation density of annealed copper ribbons grows up to saturation during repeated quenching. The effect is explained on the basis of a simple idea: During each annealing a certain part of the excessive dislocation density is removed and during each quenching a constant increase in dislocation density is generated.     

Non-singular dislocation continuum theories: strain gradient elasticity vs. Peierls–Nabarro model

Abstract

Non-singular dislocation continuum theories are studied. A comparison between Peierls–Nabarro dislocations and straight dislocations in strain gradient elasticity is given. The non-singular displacement fields, non-singular stresses, plastic distortions and dislocation core shapes are analysed and compared for the two models. The main conclusion of this study is that due to their characteristic properties, the non-singular displacement fields, non-singular stresses and dislocation core shape of screw and edge dislocations obtained in the framework of strain gradient elasticity are more realistic and physical than the corresponding fields of the Peierls–Nabarro model. Strain gradient elasticity of dislocations is a continuum dislocation theory including a weak non-locality within the dislocation core and predicting the size and shape of the dislocation core. The dislocation core is narrower in the strain gradient elasticity dislocation model than in the Peierls–Nabarro model and more evenly distributed in two dimensions. The present analysis shows that for the modelling of the dislocation core structure the non-singular dislocation fields of strain gradient elasticity are the suitable ones.     

Dislocation models of mechanoluminescence in γ- and X-irradiated alkali halides crystals

The mechanoluminescence appears in the elastic, plastic and fracture regions of γ- and X-irradiated KCl and NaCl crystals. A linear relation is found between the mechanoluminescence intensity and the newly created dislocations. Four models are proposed for the mechanoluminescence excitation during the movement of dislocations. These models are: dislocation unpinning model, dislocation interaction model, dislocation defect stripping model, and dislocation innihilation model. The dislocation annihilation model seems to be a dominating process for the M.L. excitation in γ- and X-irradiated alkali halide crystals.     

Evidence for a transition in deformation mechanism in nanocrystalline pure titanium processed by high-pressure torsion

Nanocrystalline titanium with an average grain size of about 60–70 nm was prepared by high-pressure torsion. The results of hardness and structural evolutions indicate that a strain-induced hardening–softening–hardening–softening behaviour occurs. For coarse-grained titanium, 〈a〉-type dislocation multiplication, twinning and a high pressure-induced α-to-ω phase transformation play major roles to accommodate deformation, leading to a significant strain hardening. As deformation proceeds, dynamic recrystallisation leads to a decrease in dislocation density, especially for 〈a〉-type dislocations, leading to a slight strain softening. The 〈c〉-component dislocation multiplication dominates the deformation when the grain size decreases to 100 nm and 〈c〉-component dislocation multiplication, grain refinement and the α-to-ω phase transformation contribute to the second strain hardening. The following strain softening is attributed to dynamic recovery.     

Crack tip dislocation emission and nanoscale deformation fields in silicon

A micro-crack in silicon was experimentally investigated by using a combination of transmission electron microscopy and geometric phase analysis. The strain fields of the crack tip, with scales of a few tens of nanometers, were mapped. The crack tip dislocation emission and stress relief by dislocation generation around a crack tip can be proved. And, the strain field of an edge dislocation was compared with the Peierls–Nabarro dislocation model at the scale of a dislocation width. We show that the Peierls–Nabarro model is the appropriate theoretical model to describe the deformation fields of the dislocation core.     

Interaction of dislocations with ordered cylindrical precipitates

The size and antiphase boundary effects of a cylindrical inclusion with zero axial misfit in f.c.c. alloys are calculated using the linear isotropic elasticity.The plane strain gives rise to nonzero elastic interaction even inside inclusions with zero misfit direction inclined to the Burgers vector. The extreme value of the total force on a straight dislocation cutting the inclusion axis is determined for different dislocation and inclusion orientations.     

高速移动错位下的列车通信参数精确检测

高速移动列车错位通信条件下,列车信号模糊程度增强,导致传统基于信号特征的列车通信参数检测算法无法准确分析列车通信参数,具有一定的局限性。提出一种基于改进卡曼尔滤波算法的高速移动错位下列车通信参数检测方法,分析了列车快速移动过程中最佳通信节点的定位,对最佳列车节点进行融合,获取最佳列车通信参数,采用改进的卡尔曼滤波算法,得到一系列递推检测算法,建立信号以及噪声的状态空间模型,依据前时刻的列车通信参数检测值和当前时刻的检测值,对高速移动错位下列车通信参数变量检测值进行修正,及时更新改进卡曼尔滤波算法检测噪声的协方差,实现高速移动错位下列车通信参数的准确检测。实验检测结果表明,所提方法的可准确检测高速移动错位下的列车列车通信参数,具有较高的效率和精度。     

On the vibrational spectrum of a parallel dislocation array

The free vibrations of dislocation arrays of different types (monopole and dipole dislocation walls and a planar dislocation array) have been investigated on the basis of the dispersion equation derived within the self-consistent dynamic theory of dislocations. The relaxation spectrum of a planar dislocation array in the strong damping mode has also been analyzed.