In order to predict creep behavior of a Mod.9Cr-1 Mo steel, an equation for logarithmic creep giving below has been exploited to describe pronounced primary creep.
ε=(1/
Ω*)ln(
Ω*ε
*0t+1),
whereε
*0 is the initial strain rate and
Ω*is the gradient between logarithm of strain rate and true strain in a primary creep stage. Differentiation of the above equation with respect to time yields the following equation:
ε=lnε
*0-
Ω*ε.
Designating a primary creep duration by
t*, creep life
tr can be expressed by the following equation:
tr=
t*+
e-Ωε*/(
Ωε
0),
where
t* is given below:
t*=(
eΩ*ε*-1)/(
Ω*ε
*0).
Since relatively good correlations were seen between ε
*0 and ε
0 and between
Ω*and
Ω as below, the total creep life under a given condition can be described as a function of
Ω and ε
0.
ε
*0=0.138·ε
0.7250,
and
Ω* /
Ω=
AΩ* Ω·σ
0-nΩ*Ω·exp(
QΩ* Ω/
RT),
where
AΩ* Ω is temperature and stress independent constant,
nΩ*/Ω is the stress exponent of
Ω*/
Ω, and
QΩ*/Ω is the temperature-dependent parameter of
Ω*/
Ω. They are, respectively, 2.82×10
3/S, 2.0±0.1 and 21±1kJ/mol. Furthermore, since there is a correlationship between
Ω and ε
0, creep life
tr can be expressed by a single parameter out of four parameters, ε
*0, ε
0,
Ω* and
Ω.
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