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Table 7 Optimum die radius and gradient thickness obtained through the geometrical average method

From: Multi-objective optimization of functionally graded thickness tubes under external inversion over circular dies

Optimal values

F g (m, r)

d DAF

 

DAF

P max (kN)

m = 6.4, μ d=.034

0.7358

0.8451

0.8342

1.75

44.32