An endochronic plasticity model for powder compaction processes

Abstract

In this paper, the numerical modelling of the powder forming process is simulated by a finite element analysis using a density-dependent endochronic plasticity model. An endochronic constitutive model based on large strain plasticity is presented. The elastic response is stated in term of a hypoelastic model and endochronic plasticity constitutive equations are stated in the unrotated frame of reference. A general algorithm for the endochronic theory from the viewpoint of efficient numerical modelling is presented. Constitutive equations of the endochronic theory in large strain state and their numerical integration are established. An algorithmic modulus consistent with numerical integration algorithm of constitutive equations was extracted. Finally, the numerical schemes are examined for efficiency in the modelling of a multi-level powder compaction component.