Esquema Langragiano a Malla Fija para Colada Continua de Metales

Abstract

We present a met hod for the stress and strain analysis in a strand of metal while it is passing through a spatial fixed region. This region constitutes the domain we are interested in and is defined by the different segments of the continuous casting machine.
The process is assumed under steady state. The solidified metal is modeled as an inelastic standard solid with isotropic hardening. The problem is defined using the Lagrangian approach, which avoids considering advection effects and facilitates integrating the material constitutive equations in time. The backward-Euler (implicit) finite difference scheme is applied to this end. Spatial discretization is carried over the
domain of interest. The deformation history of a particle occupying a sampling point of the fixed mesh at a given instant is determined by particle tracking, which turns to be trivial due to usual hypothesis in continuous casting analysis: quasi-cylindrical domain and constant and uniform velocity field. The non-linear equilibrium equations, obtained for mixed finite elements, are exactly linearized (Newton-Raphson
method).