1 Introduction
Modern nickel-base superalloys contain many alloying elements to improve the mechanical properties and to increase the operating temperatures for higher efficiency. Their microstructure consists of
γ′-precipitates (L1
2-structure), which are coherently embedded in a soft
γ-matrix (A1-structure). The creep behavior of superalloys is a key factor regarding the lifetime of a turbine blade. In addition to the microstructural characteristics like the
γ′-volume fraction,
γ′-size and
γ′-morphology, the mechanical properties mostly depend on the solid solution hardening of the
γ-phase, especially in the high-temperature/low-stress regime (
e.g., 1373 K (1100 °C)/140 MPa).[
1‐
4] At small strains deformation occurs mainly in the
γ-channels, since the required stress for cutting the
γ′-phase by dislocations is not high enough.[
5,
6] To strengthen the
γ-phase, the alloying elements must preferentially partition to the
γ-matrix and should have a low interdiffusion coefficient in the Ni solid solution. Alloying elements can be divided into two groups depending on their partitioning coefficient
\( k_{i}^{{\gamma^{\prime}/\gamma }} \), which is given as follows:
$$ k_{i}^{{\gamma^{\prime}/\gamma }} = \frac{{c_{i}^{{\gamma^{\prime}}} }}{{c_{i}^{\gamma } }}, $$
(1)
where
\( c_{i}^{{\gamma^{\prime}}} \) and
\( c_{i}^{\gamma } \) represent the atomic fractions
c of an element
i in the
γ′- and
γ-phase, respectively. Elements like Co, Cr, Ru, Re, Mo and W are enriched in the
γ-phase (
k < 1) and stabilize it because of the similar size of their atomic radii compared to Ni, whereas the
γ′-phase is stabilized by Al, Ta and Ti (
k > 1).[
7,
8]
To correlate the concentration and diffusivity of solid solution strengtheners in the
γ-phase with the creep properties at high temperatures, Zhu
et al. introduced a model for creep deformation that includes the calculation of the effective diffusion coefficient.[
9] This approach was also used in the study by Proebstle
et al. to explain the beneficial effect of the optimized partitioning behavior of W on the creep strength of a series of Ni-base superalloys.[
10] Besides the element W, a variety of different other alloying elements was added during the last 60 years of alloy development of Ni-base superalloys to study their impact on the creep strength. It was found that W, Mo and especially Re can act as effective solid solution strengtheners and therefore have a beneficial effect on the mechanical properties of turbine blades under operating conditions.[
11,
12] The importance of the addition of Re becomes apparent with the classification in Ni-base superalloys as the first, second and third generation, according to the amount of Re.[
13] The low diffusion coefficient as well as the strong tendency to be enriched in the
γ-phase seem to be responsible for the beneficial effect of Re additions.[
14] Additionally, the segregation of Re to dislocations in the
γ′-precipitates reduces their glide velocity and thus improves the creep performance.[
15] To replace the rare element Re, the potent solid solution strengthener W can also be used. Rettig
et al. could show that W-rich alloys can achieve similar creep properties to Re-containing alloys.[
16] However, the potential of W is limited because of its lower enrichment in the
γ-matrix.[
17] Pröbstle
et al. revealed that the partitioning behavior of W can be positively influenced by increasing the amount of Ti, which leads to a stronger enrichment of W in the
γ-matrix.[
10] Similarly, Amouyal
et al. showed by atom probe tomography (APT) that Ta acts in the same way and forces W to partition more strongly in the
γ-phase.[
18] The reason for this is that both elements compete for the Al sites and push W to the
γ-phase. The advantage of slow-diffusing elements like Re and W is that they retard dislocation climb at the
γ/
γ′-interfaces.[
9] Solid solution strengthening by slow-diffusing elements may also introduce back stresses, additionally hindering dislocation climb processes at elevated temperatures improving the creep strength.[
19,
20] Besides Re and W, Ir, Ru and Rh are also relatively slow-diffusing elements.[
21,
22] Ru is primarily added, because the addition of 3 wt pct Ru can effectively suppress the formation of detrimental TCP phases.[
23,
24] Ru leads to a decrease of the supersaturation of the
γ-phase and increases the required elastic strain energy for the nucleation of TCP phases.[
25] Ir and Rh also exhibit low diffusion coefficients, but distribute almost uniformly in the
γ- and
γ′-phase.[
26‐
28]
In summary, it can be concluded that there is consensus about the influence of most of the typical alloying elements; however, the influence of the extremely rare elements Ir and Rh on the creep properties of superalloys is less investigated so far and often a direct comparison of the potential of different solid solution strengtheners is not possible. Either different concentrations of solutes are added or several solid solution strengtheners are alloyed simultaneously. To evaluate the role of a variety of potential solid solution strengtheners on the creep properties in the high-temperature regime systematically, a series of Ni-base superalloys with the same base composition and the same content of solid solution strengtheners was investigated. The elements Ir, Mo, Re, Rh, Ru and W of the fifth and sixth period of the transition metals were chosen, because they are the most slowly diffusing elements. The different factors contributing to the creep behavior such as the γ′-volume fraction, γ′-size and γ′-morphology of the precipitates as well as solid solution strengthening of the γ-phase were considered, with the focus on the partitioning behavior of each element and the resulting effective diffusion coefficient. The aim was to understand the alloys’ creep behavior in the high-temperature regime and to rank the slowly diffusing elements Ir, Mo, Re, Rh, Ru and W regarding their potential for solid solution strengthening.
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