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Metal Container Die Ram Pressure,p H h
Extrusion with Sliding on Die Face
A hodograph can be constructed for a simple form of extrusion used for non-ferrous metals. Here, we assume a smooth square die with sliding on die faces and plane strain conditions.
Metal Ram O Symmetryaxis H h H/2 h/2
Extrusion with Sliding on Die Face
Rule 1:
Look for symmetry and reduce the geometry accordingly.
Q R S Φ θ A B C D E
Extrusion with Sliding on Die Face
Rule 2:
Label regions of the model which move relative to each other.
A particle will travel a path as shown. It is sheared when meeting line AB to move parallel to AC, then sheared at BC to move parallel to CD.
O
Extrusion with Sliding on Die Face
Rule 3:
Define an origin of the hodograph, O, corresponding to a stationary component of the system.
O q r s -
Extrusion with Sliding on Die Face
Rule 4:
Draw the velocity vector of the unknown force Q, i.e. unit length (Oq), on the hodograph.
Extrusion with Sliding on Die Face
Rule 5:
Draw vectors in the known directions of the moving components (Or and Os), relative to the origin O and to each other (qr and rs) on the hodograph.
Extrusion with Sliding on Die Face
Rule 6:
Each vertex where these vectors intersect represents one (or more) of the labelled regions of the model.
Oq defines motion of particles in region Q .

θ Φ Completed hodograph
Extrusion with Sliding on Die Face
Rule 7:
Velocity vectors must be oriented parallel to slip planes due to conservation of matter.