Analysis of high-temperature behaviour of solidified material within a continuous casting machine

SUMMARYWe present a method for the analysis of the strains and stresses developed in the solidified portion of a metal strand during the continuous casting process. Steady-state conditions are assumed. The solidified metal is modelled as a standard inelastic solid with isotropic hardening and von Mises yield criterion. Constitutive equations are formulated over the material particles (Lagrangian approach) that instantaneously occupy a fixed domain attached to the casting machine, which is discretized (Eulerian approach). Particle tracking, needed to record the deformation history at each fixed sampling point, becomes trivial because of the usual hypothesis of constant and homogeneous advection velocity. Backward-Euler (implicit) finite differences and mixed finite elements are used for time and spatial discretization, respectively. The resulting non-linear algebraic equations are solved using the Newton-Raphson method.

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“…Now, using Equations (17)- (20), the discrete evolutionary equations (14) and (15) can be completely stated at the current instant t n+1 :…”

Section: Integration Of the Evolution Equationsmentioning

confidence: 99%

A fixed‐mesh Eulerian–Lagrangian approach for stress analysis in continuous casting

Fachinotti

Cardona

2006

Numerical Meth Engineering

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“…For a closer look, all the obtained results for 2D models are compared with the 3D results. So far, several different 2D models have been used to simulate thermal stresses in continuous casting process, including plane stress, 5,6,[56][57][58] plane strain, 2,8,59,60 generalized plane strain, 7,10,11,13,61 and axisymmetric 9,12,62 conditions. Herein, three different cases, including plane stress, plane strain, and generalized plane strain conditions are considered for 2D thermo-mechanical simulation of the continuous casting process.…”

Section: Comparison Of the Results Of 2d And 3d Modelsmentioning

confidence: 99%

Three-dimensional thermo-mechanical analysis of continuous casting and comparison with two-dimensional models

Vaghefi

Hematiyan

Nayebi

2018

The Journal of Strain Analysis for Engineering Design

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In this study, a three-dimensional thermo-elasto-plastic model is developed for simulating a continuous casting process. The obtained results are compared with those from different two-dimensional analyses, which are based on plane stress, plane strain, and generalized plane strain assumptions. All analyses are carried out using the meshless local Petrov-Galerkin method. The effective heat capacity method is employed to simulate the phase change process. The von Mises yield criterion and elastic-perfectly-plastic model are used to simulate the stress state during the casting process; while, material parameters are assumed to be temperature-dependent. Based on the three-dimensional and two-dimensional models, numerical results are provided to determine the stress, displacement, and temperature fields induced in the cast material. It is observed that the present meshless local Petrov-Galerkin method is accurate in three-dimensional thermo-mechanical analysis of highly nonlinear phase change problems. Reasonable agreements are observed between the results obtained from the three-dimensional analysis with those retrieved by the generalized plane strain assumption. However, it is observed that the results obtained under plane stress/strain conditions have some significant differences with the results obtained from three-dimensional modeling of continuous casting.

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“…Researchers have used the finite element method, 16 inverse finite element method, 18 finite difference method, 10,12,13,15,16,19 finite volume method 14 and boundary element method 20 to solve numerically. The first few solidification models were based on 1D energy equation.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of continuous casting of steel alloy for different cooling ambiences and casting speeds using immersed boundary method

Kumar

Roy

Panda

2015

Proceedings of the Institution of Mechanical Engineers, Part B:

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This article demonstrates implementation of immersed boundary method in continuous casting simulation involving boundary movement. In this methodology, the immersed boundary method is coupled with the second-order accurate finite difference solution of unsteady three-dimensional heat conduction equation. The moving molten metal front is modelled using the immersed boundary method in a Cartesian mesh framework that provides simplicity in its implementation and reduces the computational time as compared to the adaptive mesh solutions. A parallel programming paradigm using message passing interface has been implemented to obtain enhanced computational efficiency. This study has focused on capturing moving boundary during continuous casting and predicts the temperature distribution and shell thickness under different cooling ambiences and casting function. Good agreements with published data and correlations are obtained through numerical analysis. Mould-region shell thickness agrees well with Chipman-Fondersmith correlations. A new correlation has been further proposed for the delay constant at different heat extraction rates. The effects of key parameters like casting speed, convection and radiation from the continuous casting are also quantified in attempt to avail the data for optimal design of continuous caster.

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Analysis of high-temperature behaviour of solidified material within a continuous casting machine

Cited by 12 publications

References 3 publications

A fixed‐mesh Eulerian–Lagrangian approach for stress analysis in continuous casting

A fixed‐mesh Eulerian–Lagrangian approach for stress analysis in continuous casting

Three-dimensional thermo-mechanical analysis of continuous casting and comparison with two-dimensional models

Numerical simulation of continuous casting of steel alloy for different cooling ambiences and casting speeds using immersed boundary method

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