Biaxial tensile tests of seven kinds of rolled sheet steels with different
r-values were carried out. Cruciform specimens were deformed under linear stress paths in a servo-controlled biaxial tensile testing machine. The stress ratios (R.D.: T.D.) adopted were 1:0, 2:1, 1:1, 1:2 and 0:1. Plastic orthotropy remained coaxial with the principal stresses throughout every experiment. Stress points consisting of contours of equal plastic work, (σ
Yx, σ
Yy), were measured and compared with Hill's quadratic and Logan-Hosford yield loci in the principal stress space. The results obtained are as follows. (i) Logan-Hosford yield criterion can predict (σ
Yx, σ
Yy) with an error of several percent and the directions of incremental plastic strain rate vectors with an error of 5 degrees at most. (ii) The (σ
Yx, σ
Yy) of sheet steels with an average
r-value larger than 1.5 exhibit a tendency to approach Hill's yield locus in the directions of stress ratios 1:1 and 2:1 as the material work-hardens. This phenomenon has been also observed in the past literature and seems to be the common differential hardening characteristics of sheet steels having rather high
r-values. (iii) The differential hardening of sheet steels is not caused by texture development, but rather governed by the work-hardening characteristics of slip systems.
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