The strain rates in the non-uniform and the uniform portion, S
n and S
u, are analyzed from a viewpoint of interaction between S
i (i=u, n) and Q which is an element with a given strain rate. The prediction is compared with the experimental results: (1) The magnitude of strain rate deviation,
ΔR∗i(=
Δ\dotε
i⁄\bar\dotε), normalized by a given strain rate, \bar\dotε, in the portion, S
i, is expressed as:
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\
oindentwhere
C is a constant,
m a strain rate sensitivity parameter,
Ai a cross-sectional area in the portion S
i, and λ
i(=
li⁄
L) a normalized length of S
i divided by a specimen length,
L. (2) The calculated results agree well with the experimental results, that is, |
ΔR∗i| shows a maximum value at a certain length, λ
∗i, which becomes smaller with decreasing
m-value and |
ΔR∗i| decreases with increasing
m-value. (3) The length of necking region, which occurs during deformation, increases with increasing
m-value, and the growth rate of necking becomes lower as the
m-value increases. (4) The interaction force between Q and S
i is an attractive force (or a repulsive force), when
Δ\dotε and \bar\dotε have the same signs (or different signs), where \bar\dotε and
Δ\dotε are a given strain rate and a strain rate deviation of S
i from \bar\dotε, respectively.
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