On the Abel summability of multiple Fourier series by spherical means

Takeda, Kazuhisa

doi:10.2748/tmj/1178244663

Cited by 3 publications

(1 citation statement)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[53] The various parameters have been optimized with respect to the available experimental data in an assessment by Gustafson. [54] If graphite is deliberately excluded, then the thermodynamically stable carbides in this system are WC, M 3 C (cementite), and M 6 C (M ϭ Fe or W) according to an early study by Takeda [31,55,56] and a later analysis by Kuo. [34] Figure 18 shows an isopleth (vertical section) calculated at a constant tungsten level of 6.3 wt pct.…”

Section: B Phase Equilibriamentioning

confidence: 99%

Transitions in carbide morphology in a ternary Fe-C-W steel

Hackenberg

Shiflet

1998

Metall Mater Trans A

View full text Add to dashboard Cite

A ternary steel of composition Fe-0.20C-6.3W (wt pct) was examined with the purpose of characterizing the carbide morphologies that arise during the diffusional decomposition of austenite. Interphase precipitation of M 6 C with ferrite in the 700 ЊC to 800 ЊC temperature range was observed, as previously reported. At higher temperatures (800 ЊC to 920 ЊC), precipitation of M 6 C in austenite in a nodular fashion was also observed, never before seen in this alloy. The carbides inside such nodules exhibited a highly degenerate, quasilamellar morphology, and the evidence suggested a discontinuous precipitation mechanism. Comparison with a calculated phase diagram showed that this quasilamellar carbide precipitation reaction dominated both in the stable and metastable ferrite ϩ austenite ϩ carbide three-phase field, since full equilibrium, for a variety of reasons, is not obtained at the ''short'' reaction times over which this kinetically competitive reaction dominates the microstructural evolution. The formation of carbide-free ferrite preceding the onset of carbide precipitation (found in both cases) is seen to be instrumental in the occurrence of the quasilamellar carbide precipitation reaction, and a simple diffusion model is advanced in support of this view. Finally, the austenite inside these nodules was seen to revert to ferrite at long times, indicating that full equilibrium is not attained at the initial stages of austenite decomposition, in accord with expectation.

show abstract

Section: B Phase Equilibriamentioning

confidence: 99%