The dependence of the width of a dissociated dislocation on dislocation velocity

Residual Microstructure - Mechanical Property Relationships in Shock-Loaded Metals and Alloys

“…16. Figure 16(d) illustrates the occurrence of twins in (001) oriented grains at 30 GPa as expected according to the critical shear stress criterion of Cowan (1), and the velocity differences imposed on the leading and trailing partial dislocations, as well as the wave velocity anisotropies associated with specific crystallographic directions coincident with the shock wave direction (35,36). In effect, all fcc metals and alloys will experience twinning at some critical pressure, and for high stacking-fault free energy materials where the critical pressure is high (1), twinning will always occur initially in (001).…”

Deformation Twinning Behavior of Twinning-induced Plasticity Steels with Different Carbon Concentrations – Part 2: Proposal of Dynamic-strain-aging-assisted Deformation Twinning

“…19) The assumption that the leading partial dislocation velocity is different from that of the trailing partial was classically proposed by Copley. 46) Based on this consideration and the relationship between the dislocation velocity and stress (V d = (τ/τ 0 ) α ; τ shear stress; α, τ 0 = empirical constants 47) ) iii , Eq. (4) was modified as follows:…”

Factors Affecting Static Strain Aging under Stress at Room Temperature in a Fe–Mn–C Twinning-induced Plasticity Steel

“…[29][30][31] According to Copley's theory, 29) the tensile stress dependence of dsf is defined as (14) where μ is the shear modulus, ν the Poisson's ratio, and θ the angle between the dislocation line and the resultant Burgers vector. The tensile external stress effect increases the separation distance when the orientation is close to <111> or <110>, and decreases when the orientation is close to <001>.…”