In the case of pre-straining “γ
P” in a simple torsion test, the decrease of yield stress due to the Bauschinger effect “τ
B” is shown as τ
B=
k·γ
Pm, where
k and
m are constants. From this result Kishi and Tanabe proposed the kinematical hardening yield criterion as follows:
(This article is not displayable. Please see full text pdf.)
\
oindentwhere σ
ij′ and ε
ij are deviatoric stress and strain tensors respectively and
f is a plastic potential.
In this report, the Bauschinger effect and the planer anisotropy of pre-strained sheets, and their variations with annealing were measured and comparison of these results with the above proposed criterion was performed in Al and Al-Mg alloys.
(1) In the tension-compression test, the following relation due to the Bauschinger effect between pre-strain ε
P and yield stress decrease σ
B was obtained:
(This article is not displayable. Please see full text pdf.)
\
oindentwhere
k′ and
m′ are constants and
m=
m′.
k and
k′ satisfy the relation which is deduced from the above criterion.
(2) As for the planer anisotropy of pre-strained sheets, the yield stress decreases with the increase of θ (θ is the angle between the direction of pre-straining and re-straining) and the plastic strain ratio (
R-value) has a peak at θ=45°. These results are successfully verified by the above criterion.
(3) The Bauschinger effect disappear gradually with increasing annealing temperature. On the other hand, the planer anisotropy of pre-strained sheets also disappears by low temperature annealing, and this result can be quantitatively explained by the finding on the Bauschinger effect.
(4) From these results, it can be concluded that the strain induced mechanical anisotropy can be reasonably explained by the above-presented criterion, at least in a small pre-strain range.
抄録全体を表示