N. Sobh et al., A discontinuous Galerkin model for precipitate nucleation and growth in aluminium alloy quench processes, INT J NUM M, 47(1-3), 2000, pp. 749-767
Citations number
15
Categorie Soggetti
Engineering Mathematics
Journal title
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
This paper presents a finite element model for precipitate nucleation and g
rowth during the quench phase of aluminium alloy manufacturing processes. A
discontinuous Galerkin model for steady advection-diffusion problems predi
cts the thermal response in a continuous quench process. The thermal histor
y drives a precipitate evolution model, based on a discrete representation,
of the particle size distribution in each local material neighborhood. Thi
s approach can require as many as 10(5) degrees of freedom per spatial loca
tion.
A second discontinuous Galerkin finite element procedure is presented to so
lve this seemingly massive problem. The new method scales linearly in both
the number of elements and in the number of precipitate degrees of freedom
per location. Thus, it is feasible to directly embed the discrete precipita
te evolution model in a macroscopic process simulation. Numerical examples
demonstrate the effectiveness of the quench model and the feasibility of ob
taining materials with graded microstructures through precision control of
conventional quench processes. Copyright (C) 2000 John Wiley & Sons, Ltd.