SIMULATION OF THERMAL MECHANICAL BEHAVIOR DURING INITIAL SOLIDIFICATION

Mathematical models have been developed to predict temperature, stress, and shape development during initial solidification. The heat transfer model was run for typical casting conditions in the mold for typical thin slab and conventional continuous slab casters. The calculated temperatures were input to an elastic-viscoplastic fin ite-element stress model of the solidifying steel shell. This model features an efficient algorithm to integrate the highly nonlinear constitutive behavior of steel at high temperature. The stress model includes the temperature and composition-dependent effects of phase tran sformation on both the thermal linear expansion / contraction be havior, creep behavior, and pseudo-strain due to flow in the liquid. Stress and strain distri butions are calculated along a line through the shell thickness, assuming no shell bending or sticking to the mold. Results are compared for 0.044%C and 0.1%C steels and for both cooling conditions. The re sults provide insight into the formation of longitudinal surface cracks in continuous-cast steel.

[1]  H. Shibata,et al.  Simulation of Crack Formation on Solidifying Steel Shell in Continuous Casting Mold , 1996 .

[2]  B. G. Thomas Application of mathematical models to the continous slab casting mold , 1989 .

[3]  G. Forsythe,et al.  Computer solution of linear algebraic systems , 1969 .

[4]  Kinoshita Katsuo,et al.  Thermal Elasto-plastic Stress Analysis of Solidifying Shell in Continuous Casting Mold , 1979 .

[5]  Christian Bernhard,et al.  Simulation of Shell Strength Properties by the SSCT Test , 1996 .

[6]  H. Misumi,et al.  Effect of Irregularity in Solidified Shell Thickness on Longitudinal Surface Cracks in CC Slabs , 1982 .

[7]  Jean-Loup Chenot,et al.  Finite element computation of bulging in continuously cast steel with a viscoplastic model , 1988 .

[8]  Graeme Fairweather,et al.  Three level Galerkin methods for parabolic equations , 1974 .

[9]  I. V. Samarasekera,et al.  Mold behavior and its influence on quality in the continuous casting of steel slabs: Part II. Mold heat transfer, mold flux behavior, formation of oscillation marks, longitudinal off-corner depressions, and subsurface cracks , 1991 .

[10]  B. A. Boley,et al.  Elasto-plastic thermal stresses in a solidifying body , 1963 .

[11]  Klaus Schwerdtfeger,et al.  Thermomechanical properties of iron and iron-carbon alloys : density and thermal contraction , 1991 .

[12]  Toshio Suzuki,et al.  Initial stage of rapid solidification of 18-8 stainless steel , 1993 .

[13]  S. N. Singh,et al.  Heat transfer and skin formation in a continuous-casting mold as a function of steel carbon content , 1974 .

[14]  Keiji Nakajima,et al.  New evaluation of critical strain for internal crack formation in continuous casting , 1992 .

[15]  Masayuki Kawamoto,et al.  Initial Solidification Behavior of Ultra Low, Low and Middle Carbon Steel , 1999 .

[16]  C. Yu,et al.  In-Situ Measurement of Fracture Strength of Solidifying Steel Shells to Predict Upper Limit of Casting Speed in Continuous Caster with Oscillating Mold , 1997 .

[17]  H. Shibata,et al.  Origin of Heat Transfer Anomaly and Solidifying Shell Deformation of Peritectic Steels in Continuous Casting , 1996 .

[18]  Guo-xiang Wang,et al.  Experimental Investigation of Interfacial Thermal Conductance for Molten Metal Solidification on a Substrate , 1996 .

[19]  Brian G. Thomas,et al.  Mathematical modeling of the continuous slab casting mold: a state of the art review , 1991 .

[20]  W CrambA,et al.  The measurement of meniscus marks at Bethlehem Steel's Burns Harbor slab caster. , 1985 .

[21]  Avijit Moitra Thermo-mechanical model of steel shell behavior in continuous slab casting , 1993 .

[22]  L. Anand,et al.  An internal variable constitutive model for hot working of metals , 1989 .

[23]  K. Okamura,et al.  Three-dimensional Elasto-plastic and Creep Analysis of Bulging in Continuously Cast Slabs , 1989 .

[24]  Emi Toshihiko,et al.  Influence of Casting Conditions on the Solidification of Steel Melt in Continuous Casting Mold , 1981 .

[25]  J. O. Kristiansson THERMOMECHANICAL BEHAVIOR OF THE SOLIDIFYING SHELL WITHIN CONTINUOUS-CASTING BILLET MOLDS-A NUMERICAL APPROACH , 1984 .

[26]  Simon Ostrach,et al.  TRANSPORT PHENOMENA IN MATERIALS PROCESSING , 1983 .

[27]  Hong Zhu,et al.  Coupled Thermal-Mechanical Fixed-Grid Finite-Element Model With Application to Initial Solidification , 1997 .

[28]  J. O. Kristiansson,et al.  THERMAL STRESSES IN THE EARLY STAGE OF SOLIDIFICATION OF STEEL , 1982 .

[29]  K. Anzai,et al.  Free deformation of initial solid shell of Fe-C alloys , 1995 .

[30]  T. W. Clyne,et al.  The application of a new solidification heat flow model to splat cooling , 1981 .

[31]  J. Szekely,et al.  Fluid flow, heat transfer, and solidification of molten metal droplets impinging on substrates: Comparison of numerical and experimental results , 1992 .

[32]  Lallit Anand,et al.  An implicit time-integration procedure for a set of internal variable constitutive equations for isotropic elasto-viscoplasticity , 1989 .

[33]  Alan W. Cramb,et al.  The density of liquid iron-carbon alloys , 1993 .