Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

A three-invariant hardening cap plasticity for computational modeling of the powder compaction process

A.R. Khoeia,*, A.R. Azamib
aDepartment of Mechanical Engineering, University of Maryland Baltimore County, Baltimore, MD 21250, USA bDepartment of Civil Engineering and Engineering Mechanics, McMaster University, Hamilton, Ontario L8S 4L7, Canada

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ABSTRACT
In this paper, a three-invariant cap plasticity is developed for description of powder behavior under cold compaction process. The constitutive elasto-plastic matrix and its components are derived as the nonlinear functions of powder relative density. It is shown how the proposed model could generate the elliptical yield surface, double-surface cap plasticity, and the irregular hexagonal pyramid of the Mohr-Coulomb and cone-cap yield surface, as special cases. The single-cap plasticity is performed within the framework of large finite element deformation, in order to predict the non-uniform relative density distribution during powder die pressing. Finally, the numerical schemes are examined for efficiency in the modeling of an automotive component.

Keywords:  Powder compaction; Three-invariant plasticity; Isotropic hardening; Cap model

* Corresponding author. E-mail: arkhoei@sharif.edu