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Inclusion of microscopic rotation of powder particles during compaction in finite element method using Cosserat continuum theory

✍ Scribed by K. Mori; M. Shiomi; K. Osakada


Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
119 KB
Volume
42
Category
Article
ISSN
0029-5981

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✦ Synopsis


The effect of microscopic rotation of powder particles in compaction is included in the rigid-plastic finite element method on the basis of the Cosserat continuum theory. In the Cosserat continuum theory, couple stress induced from the microscopic rotation is introduced, and the equilibrium equations of moment for the couple stress are solved simultaneously with those of force. A yield criterion for the Cosserat porous continuum is proposed by taking the effect of the couple stress into consideration, and constitutive equations for the rigid-plastic porous material are derived from the yield criterion on the basis of the associated flow rule. The equilibrium equations of force and moment for the Cosserat continuum are formulated by the use of the Galerkin method. The effect of microscopic rotation of powder particles in plane-strain closed-die compaction is examined. In addition, the calculated result is compared with that for the conventional continuum without the microscopic rotation.