# Finite element modelling of the squeeze casting process

Eligiusz W. Postek (School of Engineering, University of Wales Swansea, Swansea, UK School of Earth and Environment, Institute of Geophysics and Techniques, University of Leeds, Leeds, UK)
Roland W. Lewis (School of Engineering, University of Wales Swansea, Swansea, UK)
David T. Gethin (School of Engineering, University of Wales Swansea, Swansea, UK)

ISSN: 0961-5539

Article publication date: 22 May 2008

521

## Abstract

### Purpose

This paper sets out to present developments of a numerical model of squeeze casting process.

### Design/methodology/approach

The entire process is modelled using the finite element method. The mould filling, associated thermal and thermomechanical equations are discretized using the Galerkin method. The front in the filling analysis is followed using volume of fluid method and the advection equation is discretized using the Taylor Galerkin method. The coupling between mould filling and the thermal problem is achieved by solving the thermal equation explicitly at the end of each time step of the Navier Stokes and advection equations, which allows one to consider the actual position of the front of the filling material. The thermomechanical problem is defined as elasto‐visco‐plastic described in a Lagrangian frame and is solved in the staggered mode. A parallel version of the thermomechanical program is presented. A microstructural solidification model is applied.

### Findings

During mould filling a quasi‐static Arbitrary Lagrangian Eulerian (ALE) is applied and the resulting temperatures distribution is used as the initial condition for the cooling phase. During mould filling the applied pressure can be used as a control for steering the distribution of the solidified fractions.

### Practical implications

The presented model can be used in engineering practice. The industrial examples are shown.

### Originality/value

The quasi‐static ALE approach was found to be applicable to model the industrial SQC processes. It was found that the staggered scheme of the solution of the thermomechanical problem could parallelize using a multifrontal parallel solver.

## Citation

Postek, E.W., Lewis, R.W. and Gethin, D.T. (2008), "Finite element modelling of the squeeze casting process", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 18 No. 3/4, pp. 325-355. https://doi.org/10.1108/09615530810853619

## Publisher

:

Emerald Group Publishing Limited