D. Balagangadhar et Da. Tortorelli, Design of large-deformation steady elastoplastic manufacturing processes. Part I: a displacement-based reference frame formulation, INT J NUM M, 49(7), 2000, pp. 899-932
Citations number
34
Categorie Soggetti
Engineering Mathematics
Journal title
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
A reference frame formulation for the analysis of large-deformation steady-
state processes is proposed. The displacement and material state variables
appear as the primary response fields in this mixed formulation. Unlike dis
placement-based Lagrangian formulations, our formulation does not require a
transient analysis to simulate a quasi-steady process and yields results t
hat are free of numerical oscillations and which require considerably less
computational effort. And unlike velocity,based Eulerian methods, our formu
lation does not require free surface corrections or streamline integration
algorithms. A novel contact algorithm based on the mapping structure of the
reference frame kinematic descriptions is developed. The formulation is us
ed to analyse drawing and rolling processes. The results obtained from our
analysis are in agreement with those obtained from a computationally intens
ive transient Lagrangian analysis. Copyright (C) 2000 John Wiley & Sons, Lt
d.