Coupled Thermal-Stress Analysis of a Continuous Casting Process under a mixed Eulerian-Lagrangian description, on the basis of the Element-Free Galerkin Formulation

ÁLVAREZ HOSTOS, JUAN C.; BENCOMO, ALFONSO D.

Caracas

Congreso; Congreso Internacional de Métdos Numéricos en Ingeniería y Ciencias, CIMENICS 2016; 2016

Universidad Simón Bolívar

Abstract. The present work has been conducted in order to  develop an alternative solution to the heat transfer and thermal-mechanical problems involved in a conventional continuous casting (CC) process using the Element Free Galerkin (EFG) method. The Internal Energy Balance Equation has been solved under an Eulerian description and coupled with The Linear Momentum Balance Equation in the solid region under a mixed Eulerian-Lagrangian description. The weak-forms of both conservation equations have been adapted in order to compute the axisymmetric temperature and stress-strain distributions over a solidifying round billet in the mold region. The constitutive laws, transport laws, nonlinear aspects, path dependent variables, shape functions construction and boundary conditions have been specied. A very detailed and lucid explanation of the EFG method implementation in the heat transfer and elastic-visco-plastic mechanic problems has also been included. The present communication has provided a clear explanation regarding the Lagrangian integration of the path-dependent inelastic strain through the Eulerian domain. The method employed for coupling the heat transfer problem with the mechanic problem and the global Newton-Raphson scheme employed in the Linear Momentum Balance Equation have been described. The results have demonstrated that this technique could be employed successfully in the modeling of CC thermal-mechanical problems. The solution by means of this formulation has demonstrated the ability of the EFG method to accurately quantify as the mechanical behavior (through the gap opening) inuences heat transfer, while the heat transfer inuences mechanical behavior through thermal strains.