Susceptibility of crystalline alloys to deformational amorphization during torsion under quasi-hydrostatic pressure

Сундеев, Р.В.; Глезер, А. М.; Шалимова, А. В.; Djakonov, D. L.; Носова, Г. И.

doi:10.3103/s1062873812110202

Cited by 3 publications

(6 citation statements)

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“…Based on the above, we can conclude (Figure 3) that the viscosity present in one of the layers contributes to generating waves at the submicro and nanoscales. Comparing the diagram (Figure 2, Curves 2 and 3) for the approximations (21) with the dependence (17) shows that these approximations are adequate. To find the maximum values of ( 21) we reduce them to the dimensionless form:…”

Section: R Kh ρmentioning

confidence: 95%

“…If according to (17) λ m1 = 318 nm and λ m2 = 2.76 µm, then according to (24) λ m1 = 340 nm and λ m2 = 2.34 µm. Increasing a velocity of up to 50 m/s results in λ m1 = 114 nm and λ m2 = 612 nm according to (17), and λ m1 = 120 nm according to (24), without the second maximum observed (Figure 4b).…”

Section: R Kh ρmentioning

confidence: 99%

“…Electron microscopy enables the scanning of nanoscale structural elements that have already formed in a liquid metal near the shearing boundary of tangential velocity. Note that this method helps to establish that electron diffraction patterns for the nanostructures are of a quasi-ring structure [16][17][18] specific to liquid and quasi-liquid media that allows us to conclude that the hydrodynamic vision is applicable. The possibility of using the hydrodynamic approach to describe the intense plastic deformation is also implied by the phenomenon of deformation-induced amorphization investigated in [17,18].…”

Section: Problem Formulationmentioning

confidence: 99%

“…Note that this method helps to establish that electron diffraction patterns for the nanostructures are of a quasi-ring structure [16][17][18] specific to liquid and quasi-liquid media that allows us to conclude that the hydrodynamic vision is applicable. The possibility of using the hydrodynamic approach to describe the intense plastic deformation is also implied by the phenomenon of deformation-induced amorphization investigated in [17,18]. The linear analysis of the Kelvin-Helmholtz instability developed in our works [1][2][3] to various technological problems is presented in [19].…”

Section: Problem Formulationmentioning

confidence: 99%

“…Therefore, it is necessary to solve the problem of finding an approximate analytical dependence λ max on the problem parameters. To this end, we transform (17) to the following form:…”

Section: R Kh ρmentioning

confidence: 99%

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Simulation of Nanoparticles Formation by Mechanism of Kelvin-Helmholtz Instability

Vladimir¹

2017

Int J Nanoparticles Nanotech

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The Kelvin-Helmholtz instability is analyzed at scales of micro-and nano-structures. We have studied the stability of a plane motionless layer of a two-layer incompressible viscous fluid using the Navier-Stokes equations for linear and nonlinear analyses. The effects of viscosity were assumed to occur at an interface with a flow inside the layers to be irrotational. A dispersion equation was developed for small perturbations, which is similar in form to the dispersion equation appeared in earlier papers, provided the short-wave approximation is applied. We first determined: 1) The dependence of the perturbation decrement for a viscous two-layer fluid that has two maxima, with the first maximum being within the wavelengths ranging from 100 to 300 nm and the second from 1 to 3 μm; 2) The approximate analytic dependence of wavenumber that contains the maximum for the perturbation decrement on input parameters for a problem (densities of both layers, their thicknesses, viscosity, surface tension, velocity of layer motion, a coefficient of resistance). It allows us to size up the emerging vortex structures under different conditions. The range of input parameters for the problem was determined, where two maxima relating to the dependence of disturbance decrement were observed. To verify the results after performing linear analysis, the Level Set Method was used for analyzing nonlinear equations. The results of calculations prove that linear analysis adequately describes how vortex structures in various sizes are formed.

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Section: R Kh ρmentioning

confidence: 95%

Section: R Kh ρmentioning

confidence: 99%

Section: Problem Formulationmentioning

confidence: 99%

Section: Problem Formulationmentioning

confidence: 99%

“…Therefore, it is necessary to solve the problem of finding an approximate analytical dependence λ max on the problem parameters. To this end, we transform (17) to the following form:…”

Section: R Kh ρmentioning

confidence: 99%

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