An analytical model for the interaction between an insoluble particle and an advancing solid/liquid interface

Catalina, Adrian V.; Mukherjee, Sundeep; Stefanescu, Doru M.

doi:10.1007/bf02801184

Cited by 328 publications

(205 citation statements)

References 19 publications

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“…According to solid/liquid interface theories for MMC [15,16], the distribution of TiB 2 particles is affected by solidification rate, density and wetting angle. In this regards, due to low wettability of clearly indicate that TiB 2 particles can act as grain refinement in -Cu.…”

Section: Bs-sem Micrograph Inmentioning

confidence: 99%

Effects of in situ formation of TiB2 particles on age hardening behavior of Cu–1wt% Ti–1wt% TiB2

Sobhani

Mirhabibi

Arabi

et al. 2013

Materials Science and Engineering: A

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Age hardenable Cu-1wt. % Ti-1wt. % TiB 2 composite was produced by adding boron powder to CuTi melt. TiB 2 nano particles formed via in situ reaction in the melt. This composite was aged in the temperature range 300-550 ºC for 1-25 hrs. The age hardening behavior of composite then compared with that of binary Cu-2 wt. % Ti alloy. The microstructure of the composite was examined with highresolution transmission electron microscope (HRTEM). The results of this study showed that TiB 2 particles can act as heterogeneous nucleation site for '(Cu 4 Ti) precipitates. Substantial increase in tensile and yield stress of composite (i.e. 63% and 186%) occurred relative to the solution state, after ageing at 450 ºC for 10hrs. The maximum strength was associated with precipitation of metastable Cu 4 Ti near to the ultra hard TiB 2 particles within the matrix. However the mechanical properties of composite are comparable with Cu-2 wt. % Ti alloy , the maximum value of the hardness and electrical conductivity of composite (28 %IACS , 258 HV) and Cu-2 wt. % Ti (17% IACS , 264 HV) are obtained when solution treated samples were aged at 450 ºC for 10 hrs and 15hrs, respectively.

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Section: Bs-sem Micrograph Inmentioning

confidence: 99%

Effects of in situ formation of TiB2 particles on age hardening behavior of Cu–1wt% Ti–1wt% TiB2

Sobhani

Mirhabibi

Arabi

et al. 2013

Materials Science and Engineering: A

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“…[1][2][3][4][5][6][7][8] In the experiments the velocity and shape of the interface around a particle are in-situ measured using an optical microscope for transparent materials 1,2) and an X-ray transmission microscope for metals 3) and the critical interface velocity for the pushing/engulfmant transition is determined. Theoretical investigations have also been done to estimate the critical velocity.…”

Section: Introductionmentioning

confidence: 99%

“…Theoretical investigations have also been done to estimate the critical velocity. 4,5) In the theory, it is defined as the velocity at which the dragging force becomes equal to the pushing force. In case of pure materials the dragging force is due to the viscosity flow of liquid and the pushing force is due to the difference of interface energies when the particle contacts with solid.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of the Critical Velocity for Particle Pushing/Engulfment Transition in Fe-C alloys Using a Phase-field Model.

et al. 2000

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The particle/interface problem is numerically analyzed using a phase-field model in thin interface limit. A new double-well potential function in free energy density of the alloy is defined using a dilute solution approximation. With the function, a negative value of double-well potential height is usable and the mesh size restriction is largely relaxed. A pushing force for alloy systems is also introduced so as to relate to the interface energy change caused by the deformation of interface shape. With the pushing and drag forces calculated from the interface shape, the acceleration and velocity of the particle are estimated and the particle movement relative to the interface is analyzed. Using the model, the particle pushing and engulfment behaviors are successfully reproduced for the system of Fe-C alloys and an alumina particle. The critical velocities for the pushing/engulfment transition are determined for the particles with different diameters. The effect of initial carbon content on critical velocity is also examined and discussed in terms of the pushing force.KEY WORDS: phase-field model; thin interface limit; particle-interface problem; critical velocity for pushing/engulfment transition; Fe-C alloy.

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“…It is assumed that liquid velocity gradient is known. Particle movement near to crystallization front may be described with the following mathematical model: (12) where:…”

Section: Numerical Model For Particle Movement Near To Crystallizatiomentioning

confidence: 99%

“…Their behavior could be analyzed mainly on the basis of low melting temperature model liquids. Numerous authors performed simulations and experiments on the behavior of non-metallic particles during the process taking place in CCS [1][2][6][7][8][9][10][11][12]. A CCD [4] or digital camera, or a laser microscope was used for experimental analyses of the particle/ front interaction [13].…”

Section: Introductionmentioning

confidence: 99%

Interaction mechanism of non-metallic particles with crystallization front

Żak¹,

Kalisz²,

Rączkowski³

2017

Archives of Metallurgy and Materials

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The process of steel solidification in the CCS mould is accompanied by a number of phenomena relating to the formation of non-metallic phase, as well as the mechanism of its interaction with the existing precipitations and the advancing crystallization front. In the solidification process the non-metallic inclusions may be absorbed or repelled by the moving front. As a result a specific distribution of non-metallic inclusions is obtained in the solidified ingot, and their distribution is a consequence of these processes. The interaction of a non-metallic inclusion with the solidification front was analyzed for alumina, for different values of the particle radius. The simulation was performed with the use of own computer program. Each time a balance of forces acting on a particle in its specific position was calculated. On this basis the change of position of alumina particle in relation to the front was defined for a specific radius and original location of the particle with respect to the front.

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An analytical model for the interaction between an insoluble particle and an advancing solid/liquid interface

Cited by 328 publications

References 19 publications

Effects of in situ formation of TiB2 particles on age hardening behavior of Cu–1wt% Ti–1wt% TiB2

Effects of in situ formation of TiB2 particles on age hardening behavior of Cu–1wt% Ti–1wt% TiB2

Numerical Simulation of the Critical Velocity for Particle Pushing/Engulfment Transition in Fe-C alloys Using a Phase-field Model.

Interaction mechanism of non-metallic particles with crystallization front

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