Temperature and Viscoplastic Stresses During Vertical Semi-Continuous Direct Chill Casting of Aluminum Alloy

Inoue, Tatsuo; Ju, Dong-Ying; Yosihara, Naotake

doi:10.1007/978-94-009-1143-7_87

Cited by 3 publications

(2 citation statements)

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“…Based on the continuum theory, a special form of material (or material-time) derivative for any physical quantity ψ under motion status in Eulerian coordinate has been proposed by Ju [38]:

\overset{ψ}{true} = \frac{D ψ}{D t} = \frac{\partial ψ}{\partial t} + v \times \frac{\partial ψ}{\partial x}

where ν is the velocity vector of material point, x is a vector and represents a space-fixed coordinate system. According to the theory above, considering the thermal phenomenon of the molten pool, cooling rate R ( T ) at the center of pool was calculated by:

R (T) = \frac{D T}{D t} = \frac{\partial T}{\partial t} + ν \times \frac{\partial T}{\partial y}

where T is the temperature at pool center, y is the location in the pool height direction, ν is the velocity of the local melt, and t is the time.…”

Section: Resultsmentioning

confidence: 99%

Simulation of the Continuous Casting and Cooling Behavior of Metallic Glasses

Pei

2017

Materials

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The development of melt spinning technique for preparation of metallic glasses was summarized. The limitations as well as restrictions of the melt spinning embodiments were also analyzed. As an improvement and variation of the melt spinning method, the vertical-type twin-roll casting (VTRC) process was discussed. As the thermal history experienced by the casting metals to a great extent determines the qualities of final products, cooling rate in the quenching process is believed to have a significant effect on glass formation. In order to estimate the ability to produce metallic glasses by VTRC method, temperature and flow phenomena of the melt in molten pool were computed, and cooling rates under different casting conditions were calculated with the simulation results. Considering the fluid character during casting process, the material derivative method based on continuum theory was adopted in the cooling rate calculation. Results show that the VTRC process has a good ability in continuous casting metallic glassy ribbons.

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“…Based on the continuum theory, a special form of material (or material-time) derivative for any physical quantity ψ under motion status in Eulerian coordinate has been proposed by Ju [38]:

\overset{ψ}{true} = \frac{D ψ}{D t} = \frac{\partial ψ}{\partial t} + v \times \frac{\partial ψ}{\partial x}

R (T) = \frac{D T}{D t} = \frac{\partial T}{\partial t} + ν \times \frac{\partial T}{\partial y}

where T is the temperature at pool center, y is the location in the pool height direction, ν is the velocity of the local melt, and t is the time.…”

Section: Resultsmentioning

confidence: 99%

Simulation of the Continuous Casting and Cooling Behavior of Metallic Glasses

Pei

2017

Materials

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show abstract

“…In the case of uniaxial stress stat.e, equilt.ion ( 27) is duplica.t.cd as This means that the viscosity /1(T) as well as static flow stress 0' y(T, e i ) can be identified if conventional tension t.est data under different stra.in rates at several temperature levels are provided [5].…”

Section: Viseoplastie Constitutive Equationmentioning

confidence: 99%