Coupled heat transfer and phase transformations of dual-phase steel in coil cooling

Ilmola, Joonas; Pohjonen, Aarne; Koskenniska, Sami; Seppälä, Oskari; Leinonen, Olli; Jokisaari, Juha; Pyykkönen, Juha; Larkiola, Jari

doi:10.1016/j.mtcomm.2020.101973

Cited by 15 publications

(12 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Assume that a position of a material point at time t is ⃗ r = (x(t), y(t), z(t)). If a field 𝜙(⃗ r, t) is locally propagating inside of the material with velocity ⃗ v = (v x , v y , v z ), the local evolution during timestep, t ∈ [t 0 , t 0 + Δt], is described as 𝜙(⃗ r, t) = 𝜙(⃗ r − ⃗ vt, t 0 ) and it's local time derivative can be calculated from Equation (1).…”

Section: Phase Front Propagationmentioning

confidence: 99%

“…The capability of simulating the microstructure evolution provides important insight to the phenomena occurring in the industrial processes. [1,2] Splitting the general DOI: 10.1002/adts.202200771 observations into separable phenomena, and providing quantitative description for each phenomena is the basis of the method of natural sciences, which has enabled vast progress in modern science and technology. In addition to explaining separately the phenomena, also the interaction of the different basic phenomena produces new effects, that must be taken into account in the full description of a process.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Full Field Model Describing Phase Front Propagation, Transformation Strains, Chemical Partitioning, and Diffusion in Solid–Solid Phase Transformations

Pohjonen

2023

Advcd Theory and Sims

Self Cite

View full text Add to dashboard Cite

A novel mathematical formulation is presented for describing growth of phase in solid-to-solid phase transformations and it is applied for describing austenite to ferrite transformation. The formulation includes the effects of transformation eigenstrains, the local strains, as well as partitioning and diffusion. In the current approach the phase front is modeled as diffuse field, and its propagation is shown to be described by the advection equation, which reduces to the level-set equation when the transformation proceeds only to the interface normal direction. The propagation is considered as thermally activated process in the same way as in chemical reaction kinetics. In addition, connection to the Allen-Cahn equation is made. Numerical tests are conducted to check the mathematical model validity and to compare the current approach to sharp interface partitioning and diffusion model. The model operation is tested in isotropic 2D plane strain condition for austenite to ferrite transformation, where the transformation produces isotropic expansion, and also for austenite to bainite transformation, where the transformation causes invariant plane strain condition. Growth into surrounding isotropic austenite, as well as growth of the phase which has nucleated on a grain boundary are tested for both ferrite and bainite formation.

show abstract

Section: Phase Front Propagationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Full Field Model Describing Phase Front Propagation, Transformation Strains, Chemical Partitioning, and Diffusion in Solid–Solid Phase Transformations

Pohjonen

2023

Advcd Theory and Sims

Self Cite

View full text Add to dashboard Cite

show abstract

“…If a field ϕ(⃗ r, t) is locally propagating inside of the material with velocity ⃗ v = (v x , v y , v z ), the local evolution during timestep, t ∈ [t 0 , t 0 + ∆t], is described as ϕ(⃗ r, t) = ϕ(⃗ r − ⃗ vt, t 0 ) and it's local time derivative can be calculated from Eq. (1).…”

Section: Phase Front Propagationmentioning

confidence: 99%

“…The connection between the materials manufacturing processes and the physical mechanisms affecting the formation of the material microstructure is needed for accurately desribing the actual reality that is the fundamental cause for the properties of the processed material. The capability of simulating the microstructure evolution provides important insight to the phenomena occurring in the industrial processes [1,2]. Splitting the general observations in to separable phenomena, and providing quantitative description for each phenomena is the basis of the method of natural sciences, which has enabled the vast progress in modern science and technology.…”

Section: Introductionmentioning

confidence: 99%

Full field model describing phase front propagation, transformation strains, chemical partitioning and diffusion in solid-solid phase transformations

Pohjonen

2022

Preprint

Self Cite

View full text Add to dashboard Cite

A novel mathematical formulation is presented for describing growth of phase in solid-to-solid phase transformations and it is applied for describing austenite to ferrite transformation. The formulation includes the effects of transformation eigenstrains, the local strains, as well as partitioning and diffusion. In the current approach the phase front is modelled as diffuse field, and its propagation is shown to be described by the advection equation, which reduces to the level-set equation when the transformation proceeds only to the interface normal direction. The propagation is considered as thermally activated process in the same way as in chemical reaction kinetics. In addition, connection to the Allen-Cahn equation is made. Numerical tests are conducted to check the mathematical model validity and to compare the current approach to sharp interface partitioning and diffusion model. The model operation is tested in isotropic two-dimensional plane strane condition for austenite to ferrite transformation, where the transformation produces isotropic expansion, and also for austenite to bainite transformation, where the transformation causes invariant plane strain condition. Growth into surrounding isotropic austenite, as well as growth of the phase which has nucleated on a grain boundary are tested for both ferrite and bainite formation.

show abstract

“…Upon exiting the reheat furnace the slab passes through the scale breaker to remove thick oxide scale resulting from reheating. The reversing roughing mill conducts 5 passes with the roll gap lowered between each pass so to reduce the original slab thickness down to a final gauge of 37 mm. The coil box homogenises temperature of the reduced slab, now termed a transfer bar, particularly at the ends of the transfer bar which are exposed to the highest cooling rates.…”

Section: Introductionmentioning

confidence: 99%

Evaluation method for hot rolling & run out table cooling parameters

Taylor

Sugiyama

Ishikawa

et al. 2021

Materials Science and Technology

View full text Add to dashboard Cite

A new hot rolling & Run Out Table cooling simulator is constructed. The simulator permits continuous collation of process data including in-situ temperature measurement at numerous positions of the strip steel. Tensile properties and microstructural analysis of the hot rolled strip are correlated to the collated process data. A numerical model including phase transformation and latent heat evolution is constructed and calibrated against the experimental data. The resulting numerical model can be used to efficiently predict the optimal process parameters for manufacturing hot rolled strip steels, while the new hot rolling & Run Out Table cooling simulator can be used to efficiently validate the numerical simulation results before up-scaling to the industrial hot mill.

show abstract

Coupled heat transfer and phase transformations of dual-phase steel in coil cooling

Cited by 15 publications

References 25 publications

Full Field Model Describing Phase Front Propagation, Transformation Strains, Chemical Partitioning, and Diffusion in Solid–Solid Phase Transformations

Full Field Model Describing Phase Front Propagation, Transformation Strains, Chemical Partitioning, and Diffusion in Solid–Solid Phase Transformations

Full field model describing phase front propagation, transformation strains, chemical partitioning and diffusion in solid-solid phase transformations

Evaluation method for hot rolling & run out table cooling parameters

Contact Info

Product

Resources

About