A practical approach to predict the yield strength and work-hardening exponent (n value) to evaluate the deep-drawing performance of annealed 3104 aluminum sheets is presented in the present work by only measuring and analyzing the grain size of the sheet. The various grain sizes were obtained through the different annealing treatment and then the evolution of the n value under different strains and the yield strength of annealed 3104 aluminum sheet were evaluated. Results showed that the n value and yield strength vary greatly with the grain size. A mathematical model relating grain size d, work-hardening exponent n, target strain ε, and yield strength Rp0.2 was developed in the present work. Within the studied grain size range d (12-29 μm), the n value generally increased with d in a strain-dependent manner, such that n = 0.1875 - 85.03 × exp [ - d / 1.94 ] when the ε was less than 0.5%, but n = 0.3 - 0.15 d - 1 / 2 when the ε was greater than 2%. On the other hand, the n value was found to depend on the target strain ε as n = 0.276 - A 1 × exp [ - e / 1.0435 ] , where A1 varies with d and its value is in the range of 0.132-0.364. In addition, the relationship between Rp0.2 and d followed the Hall-Petch equation ( R p 0.2 = 36.273 + 139.8 × d - 1 / 2 ).
Keywords: annealed 3104 aluminum sheet; grain size; n value; target strain; yield strength.