The calculus of the thermodynamic activity of carbon in silicon alloyed austenitic stainless steels.
Ghiban, Brandusa ; Ghiban, Nicolae ; Serban, Nicolae 等
1. INTRODUCTION
The rapid development of austenitic stainless steels (A.S.S.) was
stopped in the 70's due to the susceptibility of these materials
towards intergranular corrosion (I.C.). The acting way of this corrosion
form leads to selective destructions of the grain without the matrix
being attacked. The amazing phenomena of I.C. which have been found in
the exploitation process were rapid destroyed with the help of
metallurgical means. One of the metallurgical methods of diminishing the
intergranular corrosion of stainless steels in aggressive media is
silicon alloying. The present paper reveals by thermodynamic considerations the influence of silicon content in presence of carbon in
the austenitic stainless steels.
2. MATERIALS AND METHODS OF INVESTIGATION
There were elaborated eight stainless steels with the chemical
composition given in table 1.
From the corrosion behavior of the experimental austenitic
stainless steels, not only in nitric acid agents, but also in chlorine
agents it has been proven mainly the positive role of the silicon
annihilated by the presence of the carbon content. A possible
explanation of the operation mode on the behavior of the studied
stainless steels is given by the influence of the different alloying
elements on the thermodynamic activity of the carbon in the alloyed
austenite.
Considering as constant the nickel and chromium contents for all
the experimental austenitic stainless steels (respectively 18%Cr and
15%Ni) and the carbon contents for the three experimental stainless
steels categories (respectively of 0.02%, 0.03% and 0.05%) it has been
determinate the thermodynamic activities of the carbon in the unalloyed austenite ([a.sub.C.sup.[gamma]]), in the nickel alloyed austenite
([a.sub.C,Ni.sup.[gamma]]), in the chromium alloyed austenite
([a.sub.C,Cr.sup.[gamma]]) and also in the complex alloyed austenite
([a.sub.C,Complex.sup.[gamma]]). The formulas used for calculating the
carbon's thermodynamic activities, in the unalloyed austenite and
also in the alloyed austenite, are the following:
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], (1)
where: [N.sub.c]--the carbon concentration, in atomic %; T--the
temperature, in Kelvin degrees (K).
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (2)
where: % gr.Ei--the weight concentration of the i element; Ai--the
atomic mass of the i element.
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (3)
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (4)
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (5)
3. RESULTS AND INTERPRETATIONS
The results regarding the calculated values of the carbon's
thermodynamic activities corresponding to the experimental stainless
steels are given in figure 1 (a and b). Similar behavior was found also
by other researchers (Vilenskaya et al., 2004).
From the analysis of the data shown in figure 1 considering
thermodynamic activities of the complex alloyed austenite in the
experimental stainless steels dependent on the temperature and on the
silicon and carbon contents, it results that the silicon is even able to
double, at the same carbon content, its activity in the austenite
alloyed with chromium and nickel. This fact has major consequences
regarding the behavior of the experimental steels under different stress
conditions. If in the austenitic stainless steels with a relatively high
carbon content (of 0.03%, respectively 0.05%) the silicon presence is
positive, from the corrosion resistance under stress point of view, in
case of loading the same steels in nitric acid environments the
influence of the silicon is neutralized by the carbon contents. The
effect of the silicon on the intergranular corrosion resistance appears
only if the carbon content is very low ([less than or equal to] 0.02%).
[FIGURE 1 OMITTED]
Considering the dissolution temperature (the precipitation of the
first carbides from the stainless steels) given by the formula:
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (6)
the only carbides that precipitate in the area of 550-850[degrees]C
are the [Cr.sub.23][C.sub.6] type, and in the austenitic stainless
steels with [approximately equal to] 20%Cr and 9 - 40%Ni we have found
the formula:
1/[T.sub.s] = 1/5500 (2.92 - 0.010%Ni - ln%C) (7)
in which %Ni and %C are the weight percentage of the mentioned
elements (nickel, respectively carbon).
Supposing that [DELTA][H.sup.0] and [DELTA][S.sup.0] are not
depending on the temperature, from the calculation of the thermodynamic
activity of the carbon in the alloyed austenite, we can calculate
[T.sub.S] and therefore we can estimate TM. (Cihal, 1970) and
(Gustavsson et al., 2005) have showed in their work the same behavior.
According to our own data and the information from the literature
it has been found, for the determination of the [T.sub.M] temperature
the following formula, considering as constant the nickel content:
[10.sup.4]/[T.sub.M] = 2 - 41g [a.sup.g.sub.C,Complex] (8)
[FIGURE 2 OMITTED]
From the figure 2, in which it's shown the dependency of the
maximum temperature at which the intergranular corrosion for the
experimental austenitic stainless steels appears, we can clearly see
that the silicon moves the [T.sub.M] temperature to higher values for
the low carbon content steels. The temperature is between
500-550[degrees]C. This is perfectly according to the experimental
results. Therefore the silicon influence on the intergranular corrosion
behavior is positive only in the presence of a low carbon content
(<0.02%). Similar behavior was illustrated also by (Josh & Sern,
1972), (Million et al., 1995).
4. CONCLUSIONS
This present paper presents the corrosion processes from the
thermodynamic point of view. It has been shown that the silicon doubles
the carbon's thermodynamic activity in the complex alloyed
austenite with chromium and nickel. Based on the existent correlation
between the chromium carbides separation domain and the domain of
susceptibility at intergranular corrosion, it was determinated the
maximum temperature at which the intergranular corrosion appears
([T.sub.M]) in the silicon stainless steels only from thermodynamic
considerations. So, the silicon, by raising the thermodynamic activity
of the carbon, it also moves the [T.sub.M] temperature to higher values
for low carbon content steels.
5. REFERENCES
Cihal, V. (1970). Sur la corrosion intergranulaire des aciers
inoxydables Cr-Ni (About the intergranular corrosion of the Cr-Ni
stainless steels). Corrosion Trait. Protecion. Finisation, vol. 18, no.
7, p. 441;
Gustavsson, J.; Andersson, A.M.T. & Joensson, P.G. (2005). A
thermodynamic study of silicon containing gas around a blast furnace Raceway. ISIJ International, Vol. 45 (2005), 5, pp. 662-668, ISSN 0915-1559;
Josh, A. & Sern, D.F. (1972). Chemistry of Grain Boundaries and
It's Relation to Intergranular Corrosion of Austenitic Stainless
Steels. Corrosion, vol. 28, nr. 8;
Million, B.; Kucera, J. & Michalicka, P. (1995). The influence
of silicon on carbon redistribution in steel weldments. Materials
Science & Engineering (1995), ISSN 0921-5093;
Vilenskaya, T.N.; Lifshits, A.E. & Mikhailov, L.A. (2004).
Calculating the interaction of controlled atmospheres with alloyed
steels. Chemistr, and Materials Science, Springer, december 2004, ISSN
0026-0673.
Tab. 1. The chemical composition of the experimental
stainless steels
Chemical compound, %
Steel C Mn S P
A 0.020 0.87 0.007 0.017
B 0.015 0.73 0.008 0.015
C 0.012 0.85 0.009 0.014
D 0.031 1.48 0.008 0.011
E 0.030 1.23 0.006 0.011
F 0.012 1.10 0.006 0.011
G 0.039 0.94 0.011 0.017
H 0.050 0.91 0.011 0.015
Chemical compound, %
Steel Cr Ni Si
A 17.9 15.6 0.94
B 18.7 14.9 3.39
C 17.2 15.6 3.83
D 17.1 15.6 4.11
E 17.3 14.8 5.34
F 18.3 14.8 5.62
G 17.3 15.2 4.60
H 18.00 15.2 5.03
N
Steel ppm [E.sub.Cr] [E.sub.Ni]
A 60 20.1 16.4
B 60 25.5 15.6
C 268 23.7 16.5
D 300 24.1 17.2
E 280 26.1 16.3
F 108 26.7 15.6
G 128 25.0 16.6
H 100 26.3 16.8