Abstract:Hot cracking during solidification in continuous casting is one of the quality problems due to the development of local stresses and strains in the CC strand which exceeds the material strength. Strains result from alternating motion of the steel shell due to thermal and mechanical contraction expension and ferrostatic pressure, primarily in the transition region between the geometrical strong edge and the more flexible wide side of a slab. [1] The formation of hot cracks is often related to the reduced ductil… Show more
“…Figure 13 shows the ratio of the strain ε within R1 (at x = 0) at the inner edge of the solidified shell (corresponding to the solidliquid interface) calculated by the mechanical model to the critical strain ε c for both q MF-A and q MF-B as a function of time. The material parameters proposed by Senk et al 35) (φ = 0.00427, m* = 0.4151 and n* = 0.9979) were employed to determine ε c . The value of ΔT B was calculated from the equilibrium phase diagram using THERMOCALC 18) based on a Fe-0.1 wt.%C alloy; this value is especially sensitive to composition.…”
Solidification shell deformations within the mold during continuous casting have been calculated in order to clarify the influence of mold flux infiltration variability on the cooling rate, the width of the low heat flux region, the height of air gap, the unevenness of solidified shell, and the resulting strain in the solidified shell. A sequentially coupled thermal-mechanical finite element model has been developed to perform the calculations. The simulation includes heat transfer and shell deformation in a growing solidified shell, along with the delta-to-gamma transformation. Further, it takes into account the effects of variability in mold flux infiltration and air gap formation on heat transfer into the mold, as well as the effect of cooling rate on the thermal expansion resulting from delta-to-gamma transformation. The results showed that mild cooling and small width of low heat flux region (i.e. low variability in mold flux infiltration) strongly decrease the height of the air gap, the unevenness in the solidified shell and the strain in the solidified shell. It is confirmed that it is important to prevent the variation and optimize the cooling rate in mold flux infiltration, especially at near the meniscus region of δ to γ transformation in order to minimize longitudinal crack formation.
“…Figure 13 shows the ratio of the strain ε within R1 (at x = 0) at the inner edge of the solidified shell (corresponding to the solidliquid interface) calculated by the mechanical model to the critical strain ε c for both q MF-A and q MF-B as a function of time. The material parameters proposed by Senk et al 35) (φ = 0.00427, m* = 0.4151 and n* = 0.9979) were employed to determine ε c . The value of ΔT B was calculated from the equilibrium phase diagram using THERMOCALC 18) based on a Fe-0.1 wt.%C alloy; this value is especially sensitive to composition.…”
Solidification shell deformations within the mold during continuous casting have been calculated in order to clarify the influence of mold flux infiltration variability on the cooling rate, the width of the low heat flux region, the height of air gap, the unevenness of solidified shell, and the resulting strain in the solidified shell. A sequentially coupled thermal-mechanical finite element model has been developed to perform the calculations. The simulation includes heat transfer and shell deformation in a growing solidified shell, along with the delta-to-gamma transformation. Further, it takes into account the effects of variability in mold flux infiltration and air gap formation on heat transfer into the mold, as well as the effect of cooling rate on the thermal expansion resulting from delta-to-gamma transformation. The results showed that mild cooling and small width of low heat flux region (i.e. low variability in mold flux infiltration) strongly decrease the height of the air gap, the unevenness in the solidified shell and the strain in the solidified shell. It is confirmed that it is important to prevent the variation and optimize the cooling rate in mold flux infiltration, especially at near the meniscus region of δ to γ transformation in order to minimize longitudinal crack formation.
“…Recent work describes modeling of the solidification of technical steel grades [64,65] and also addresses aspects like hot ductility during solidification of steel grades in continuous casting processes [66,67].…”
Scope of the present article is to review the current state of the art with respect to simulation of microstructure evolution based on the multiphase-field approach in technical alloy grades. Starting from a short overview about computational thermodynamics and kinetics and respective databases for technical alloys, an engineering approach to phase-field and multiphase-field models will be depicted in order to allow for a basic explanation of these methods-in general being developed by physicists and mathematicians-for materials scientists and metallurgists. These explanations are followed by examples of applications of the multiphase-field method to solidification and solid state transformations in steels, cast iron, superalloys, Al-and Mg-alloys, solders and other alloys and compounds. The article is concluded by a short description of present and future trends.
“…Numerical modelling was tion of volume and finite element techniques (PHYSICA) 20) and b) a fully-coupled, thermal-metallurgical-mechanical, finite-element analysis coupled to a Navier-Stokes solver to calculate the stress-strain during solidification through FEM (THERCAST). 21) Finally, significant efforts have been made by Beckerman et al, 22) Gandin et al, 23) Senk et al 24) and others to bring microstructural modelling to usable scales for industrial application in CC. However; despite all the advances described, the prediction of some particular problems (e.g.…”
Surface defects are recurrent problems during Continuous Casting of steel due to the introduction of new grades that are often difficult to cast, as well as the everlasting pursuit for higher quality and improved yield. Accordingly, numerical modelling has become a ubiquitous tool to analyse the formation mechanisms of such defects. However, industrial application of simulations is often hampered by oversimplifications and omissions of important process details such as variations in material properties, specific casting practices or shortcomings regarding fundamental metallurgical concepts. The present manuscript seeks to create awareness on these issues by visiting key notions such as slag infiltration, interfacial resistance and Lubrication Index. This is done from a conceptual point of view based on industrial observations and numerical modelling experiences. The latter allows a re-formulation of outdated concepts and misconceptions regarding the influence of fluid flow, heat transfer and solidification on lubrication and defect formation. Additionally, the manuscript addresses common challenges and constraints that occur during industrial implementation of numerical models such as the lack of high-temperature material data for slags. Finally, the manuscript provides examples of improvements on product quality and process stability that can be achieved through a holistic approach which combines modelling with laboratory tests, experiences from operators and direct plant measurements.KEY WORDS: numerical modelling; Continuous Casting; defects; lubrication; powder consumption.introduced as an alternative to study such issues in a more cost-efficient way than using traditional trial-error tests in the plant. Starting in the late 70's and 80's with the advent of personal computers, the first generation of models managed to predict the overall behaviour of the caster based on empirical data. 5-7) Subsequently, models in the 90's added Computational Fluid Dynamics (CFD) and solidification to casting simulations. [8][9][10] Faster computers and improved codes allowed huge progress regarding multi-phase applications (e.g. bubbles and inclusions) combined with calculations of flow and solidification in the past decade.
11-14)Currently, a wide variety of commercial and in-house codes are available for CC modelling such as PROCAST, COMSOL, TEMPSIMU, CON1D/2D, etc. [15][16][17] Moreover, a recent trend is the development of thermo-mechanical models coupled to flow dynamics for solving the combined problem of flow, solidification and stress-strain during casting. 18,19) Of all these, PHYSICA and THERCAST are two of the most promising approaches; which allow: a) 3D unstructured -mesh, multi-physics model using a combina-
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