2023 Volume 64 Issue 2 Pages 514-521
Solution treated Al–Cu–Mg alloys with three different compositions were subjected to high-pressure torsion (HPT) for 1 to 50 turns, and then aged at 423 K. By conducting HPT process, the hardness of the three alloys significantly increased after 50 turns, and the average grain sizes were refined to 130–140 nm. After aging treatment, the hardness was further increased to 271 HV, 288 HV and 273 HV in the peak aging condition for the Al–4Cu–1.5Mg, Al–4Cu–3Mg and Al–5Cu–3Mg (in mass%) alloys, respectively. The contribution of several strengthening mechanisms was quantitatively evaluated in terms of grain boundary hardening, dislocation hardening, solid solution hardening and cluster/precipitation hardening. It is shown from the quantitative evaluation that simultaneous strengthening due to grain refinement and nanoscale precipitates is successfully achieved by combined application of HPT process and subsequent aging treatment.
Fig. 7 Hardness variation of the HPT-processed samples of (a) 2A, (b) 2B and (c) 2C alloys during aging at 423 K.
Precipitation hardening is a useful mean for strengthening aluminum alloys, particularly Al–Cu–Mg (2xxx series), Al–Mg–Si (6xxx series) and Al–Zn–Mg–Cu (7xxx series) alloys,1–3) in addition to the strengthening by grain refinement. In recent years, it is confirmed that significant grain refinement of metallic materials can be achieved by severe plastic deformation (SPD) such as HPT (high-pressure torsion), HPS (high-pressure sliding), ARB (accumulative roll bonding) and ECAP (equal-channel angular pressing).4) Horita et al. reported that grain sizes of high-purity aluminum (99.99%) are reduced to ∼1 µm through ECAP, ARB, HPS and HPT processes.5–8) Among them, HPT process was quite effective for grain refinement compared to other SPD processes,9,10) because much greater strain can be imposed depending on the number of turns of HPT process.5)
Although SPD processes have a high potential for significant increase in strength due to the refined grain sizes, coarse precipitates are preferentially precipitated on grain boundaries during subsequent aging treatment, and thus the contribution of precipitation hardening is likely reduced in ultrafine-grained alloys.11) Hirosawa et al. proposed three strategies to achieve simultaneous strengthening due to grain refinement and nanoscale precipitates; i.e. lowering aging temperatures, utilization of microalloying elements and taking advantage of spinodal decomposition, and such effectiveness was demonstrated for Al–Mg–Si, Al–Ag, Al–Li–Cu–Mg and Al–Zn–Mg–Cu alloy systems.12,13) Recently, Masuda et al. achieved ultra-high strengthening to a level as high as 1 GPa for the commercial A2024 alloy by combined application of HPT process and aging treatment. Their results showed that the segregation of Cu and Mg atoms onto grain boundaries plays an important role in the enhancement in strength of the ultrafine-grained and peak aged alloy.14)
In this study, Cu and Mg contents were increased from those of the commercial A2024 alloy, and HPT process and subsequent aging treatment were applied to develop new high-strength Al–Cu–Mg alloys. Then, the strengthening mechanisms were discussed by quantifying the contribution of grain boundary hardening, dislocation hardening, solid solution hardening and cluster/precipitation hardening, respectively.
The chemical compositions of Al–Cu–Mg alloys used in this study are listed in Table 1. The 2B and 2C alloys were designed to the compositions of Al–4Cu–3Mg and Al–5Cu–3Mg (mass%) by increasing Cu and Mg contents of the 2A alloy with the same composition as the commercial A2024 Al–4Cu–1.5Mg alloy. 1 mm-thick sheet of each alloy was provided from research subcommittee of high-strength aluminum alloys in the Japan Institute of Light Metals.
Disk samples with 10 mm diameter were cut from the sheets and subjected to solution treatment at 778 K for 1.8 ks and then quenched into water (ST samples). HPT process was conducted for the ST samples at room temperature for four different turns of N = 1, 5, 10 and 50 under an applied pressure of 6 GPa with a rotation speed of 1 rpm. After the HPT process, the thickness of the HPT-processed samples was reduced to 0.8–0.85 mm, and thus equivalent strain εeq introduced by HPT process was estimated through
\begin{equation} \varepsilon_{\textit{eq}} = 2\pi rN/\sqrt{3}t. \end{equation} | (1) |
After ground by abrasive papers and polished to a mirror-like surface, the Vickers microhardness of the ST and HPT-processed samples was measured during aging by applying 500 gf for duration of 15 s using Matsuzawa MMT-Xi tester. The hardness measurements were made along 8 radial directions with an interval of 0.5 mm as shown in Fig. 1.
Schematic illustration of disk sample for HPT process. The locations for hardness measurement and TEM observation are also indicated.
X-ray diffraction (XRD) analyses were conducted for the ST, HPT-processed (N = 50) and HPT(N = 50)-Peak aged samples using CuKα radiation at an accelerating voltage of 40 kV and a current of 45 mA with a scanning speed of 0.5°/min and a scanning step of 0.01°. The corresponding dislocation densities were also evaluated from their peak broadening using the Williamson-Hall method.16,17) Four different full widths at half maximum obtained from fundamental peaks of (111)α, (200)α, (220)α and (311)α planes were used for the estimation after calibrating the instrument.18)
For transmission electron microscopy (TEM) observation, disks with 3 mm diameter were punched out from the ST-Peak aged, HPT-processed (N = 50) and HPT(N = 50)-Peak aged samples (Fig. 1), ground to a thickness of 0.15 mm, and subjected to a twin-jet electro-chemical polishing to obtain electron-transparent field of view with a solution of 20 HNO3-80 CH3OH (in vol%) at a temperature of 253 K under 9–12 V. The bright-field images, dark-field images and selected area electron diffraction (SAED) patterns were recorded using a JEM-2100F transmission electron microscope at an accelerating voltage of 200 kV. Average grain sizes of the HPT-processed (N = 50) and HPT(N = 50)-Peak aged samples were determined from dark-field images by measuring at least 100 different grains surrounded by high-angle grain boundaries (HAGBs).
Figure 2(a) shows the isothermal phase diagram of the Al–Cu–Mg alloy system at 778 K. It is expected from Fig. 2(a) that the 2A alloy almost consists of α-Al phase after solution treatment at 778 K, while the 2B and 2C alloys contain small amount of S (Al2CuMg) phase in the α-Al matrix. The corresponding XRD profiles of the ST samples well supported such a prediction as illustrated in Fig. 2(b).
(a) Isothermal phase diagram of the Al–Cu–Mg alloy system at 778 K. (b) XRD profiles of the ST samples.
Figure 3 plots the variation of Vickers microhardness during aging of the ST samples at 423 K. The three Al–Cu–Mg alloys exhibit significant age hardening, and the hardness reached 131 HV (2A), 137 HV (2B) and 138 HV (2C) in the peak aging condition from the ST levels of 79 HV (2A), 88 HV (2B) and 93 HV (2C). Thus, it was found that the increase in Cu and Mg contents from the conventional A2024 alloy leads to further strengthening not only just after quenching but also after peak aging.
Hardness variations of the ST samples during aging at 423 K.
Figure 4 shows TEM bright-field images and the corresponding SAED patterns taken from a beam direction of ⟨001⟩α for the ST-Peak aged samples. The lath-like precipitates are present in the α-Al matrix and identified to be S′ phase from $0 1 \bar{3}$, 013, $0 2 \bar{1}$ and 021 diffraction spots in the SAED patterns.19–21) It is well known that major precipitates observable in the Al–Cu–Mg alloy system depend on the Cu/Mg ratios; i.e. S′ phase is preferentially formed when the Cu/Mg ratio is in the range of 1.5 to 4.20) The Cu/Mg rations of the three alloys used in this study are 2.64 (2A), 1.5 (2B) and 1.89 (2C), and thus the formation of S′ phase appears to be reasonable.
TEM bright-field images (left) and selected area electron diffraction patterns (right) for the ST-Peak aged samples of (a) 2A, (b) 2B and (c) 2C alloys at 423 K.
Table 2 shows Vickers microhardness variation of the three alloys with increasing the number of turns of HPT process. The hardness at a position of 3.5 mm from the disk center significantly increased even by 1 turn, and 248 HV (2A), 269 HV (2B) and 249 HV (2C) were eventually obtained after 50 turns, respectively. Such increased hardness of the HPT-processed samples is almost twice the hardness of the ST-Peak aged samples (i.e. 131 HV (2A), 137 HV (2B) and 138 HV (2C)), and the effect of HPT process was the largest in the 2B alloy among the three alloys.
Figure 5 shows TEM bright-field images, dark-field images and the corresponding SAED patterns of the HPT-processed samples after 50 turns. From the SAED patterns with a series of diffraction rings, fine-grained structures with HAGBs were found to well develop after HPT process with average grain sizes of 130 nm (2A), 140 nm (2B) and 140 nm (2C). According to the results of XRD analyses in Fig. 6(a), the intensities of S phase of the 2B and 2C alloys were drastically reduced from the ST levels (Fig. 2(b)), suggesting that S phase is forcibly dissolved into the α-Al matrix by HPT process as previously suggested by Feng et al.22) Furthermore, the corresponding dislocation densities of the HPT-processed (N = 50) samples were estimated to be 6.6 × 1015 m−2 (2A), 6.6 × 1015 m−2 (2B) and 3.8 × 1015 m−2 (2C), respectively.
TEM bright-field images (left), dark-field images (right) and selected area electron diffraction patterns (inset) for the HPT-processed (N = 50) samples of (a) 2A, (b) 2B and (c) 2C alloys.
XRD profiles of (a) HPT-processed (N = 50) and (b) HPT(N = 50)-Peak aged samples.
Figure 7 plots the variation of Vickers microhardness during aging at 423 K for the HPT-processed (N = 50) samples. It is clearly shown that the noticeable increase in hardness is achieved by combined application of HPT process and aging treatment, regardless of the chemical compositions of the three alloys. For example, the highest hardness of 271 HV (2A), 288 HV (2B) and 273 HV (2C) was obtained for the HPT(N = 50)-Peak aged samples, although the increment in hardness during aging is only 23 HV (2A), 19 HV (2B) and 24 HV (2C), respectively. Remember that the increment in hardness during aging of the ST-Peak aged samples are all about 50 HV, as illustrated in Fig. 3.
Hardness variation of the HPT-processed samples of (a) 2A, (b) 2B and (c) 2C alloys during aging at 423 K.
Figure 8 shows TEM bright-field images, dark-field images and the corresponding SAED patterns for the HPT(N = 50)-Peak aged samples. The average grain sizes were measured as 160 nm (2A), 170 nm (2B) and 180 nm (2C) confirming that ultrafine grains are well maintained even after peak aging at 423 K. As for the formation of precipitates during aging, on the other hand, similar microstructures as the HPT-processed (N = 50) samples (Fig. 5) disabled us from identifying the strengthening phases, but volume fractions of S phase were found to be increased after aging from the results of XRD analyses for the HPT(N = 50)-Peak aged samples (Fig. 6(b)). Furthermore, the corresponding dislocation densities were decreased to 8.7 × 1014 m−2 (2A), 1.7 × 1015 m−2 (2B) and 1.4 × 1015 m−2 (2C), from those of the HPT-processed (N = 50) samples; 6.6 × 1015 m−2 (2A), 6.6 × 1015 m−2 (2B) and 3.8 × 1015 m−2 (2C), respectively.
TEM bright-field images (left), dark-field images (right) and selected area electron diffraction patterns (inset) for the HPT(N = 50)-Peak aged samples of (a) 2A, (b) 2B and (c) 2C alloys at 423 K.
In this study, the hardness of the three Al–Cu–Mg alloys successfully reached 271 HV (2A), 288 HV (2B) and 273 HV (2C) by combined application of HPT process for 50 turns and subsequent aging treatment at 423 K. Thus, the elucidation of the strengthening mechanisms becomes essential for developing new high-strength Al–Cu–Mg alloys. The contribution of several strengthening mechanisms was evaluated by quantifying grain boundary hardening (Δσgb), dislocation hardening (Δσdis), solid solution hardening (Δσss), cluster hardening (Δσclust) and precipitation hardening (Δσpre), and expressed by the increase in Vickers microhardness ΔHV through ΔHV = 0.3Δσ.23,24)
4.1.1 Grain boundary hardeningHigher density of grain boundaries introduced by HPT process can inhibit dislocation motion by preventing its propagation to neighboring grains through the Hall-Petch relation:25,26)
\begin{equation} \varDelta \sigma_{\textit{gb}} = \sigma - \sigma_{0} = \frac{k_{y}}{\sqrt{d}} \end{equation} | (2) |
The contribution of dislocation hardening was evaluated by the Bailey-Hirsch equation;28)
\begin{equation} \varDelta \sigma_{\textit{dis}} = \alpha MGb\sqrt{\rho}. \end{equation} | (3) |
Solid solution hardening occurs in the investigated Al–Cu–Mg alloys because Cu and Mg atoms are partially present in solid solution. In this study, the contributions of solid solution hardening by trace elements of Si, Mn, Fe, Cr, Zn, and Ti were ignored, and thus the two main elements of Cu and Mg were considered for the calculation. To evaluate solid solution hardening Δσss, we used the following equations.31–33)
\begin{equation} \varDelta \sigma^{i}{}_{\textit{ss}} = \frac{0.9MGb}{L_{\textit{ss}}^{i}}\cos \left(\frac{\varphi_{\textit{ss}}^{i}}{2}\right)^{\frac{3}{2}}\left(1 - \cfrac{\cos \biggl(\cfrac{\varphi_{\textit{ss}}^{i}}{2}\biggr)^{5}}{6}\right) \end{equation} | (4) |
\begin{equation} L^{i}{}_{\textit{ss}} = \frac{3^{1/4}}{2\sqrt{C_{i}}}b \end{equation} | (5) |
\begin{equation} \varDelta \sigma_{\textit{ss}} = \sqrt{\varDelta\sigma^{\textit{Cu}}{}_{\textit{ss}}{}^{2} + \varDelta \sigma^{\textit{Mg}}{}_{\textit{ss}}{}^{2}}. \end{equation} | (6) |
Recent studies have shown that solute atom clusters formed even just after quenching play an important role in the strengthening of aluminum alloys.14,31,32) In this study, the contribution of cluster hardening Δσclust was evaluated from strengthening mechanisms of the ST samples;31,32)
\begin{equation} \textit{HV}_{\textit{ST}} = \textit{HV}_{0} + \varDelta \textit{HV}_{\textit{ss}} + \varDelta \textit{HV}_{\textit{clust}}, \end{equation} | (7) |
In this study, the distribution of strengthening phases was not well detected in the HPT(N = 50)-Peak aged samples (Fig. 8), although the noticeable increase in hardness of 23 HV (2A), 19 HV (2B) and 24 HV (2C) was observed during aging (Fig. 7). For an ultrafine-grained alloy, however, the presence of only a few precipitate particles within a grain is reported to exert a significant strengthening effect15,35) in accordance with the Orowan’s theory;36)
\begin{equation} \varDelta \tau_{\textit{pre}} = \frac{\textit{Gb}}{\lambda'}. \end{equation} | (8) |
Table 3 summarizes the evaluated contribution of each strengthening mechanism for the HPT-processed (N = 50) and HPT(N = 50)-Peak aged samples, and the strengthening mechanisms of the two samples are interpreted as follows. (i) The contribution of grain boundary hardening ΔHVgb is little changed after aging because ultrafine grains are well maintained even in the HPT(N = 50)-Peak aged samples. (ii) The contribution of dislocation hardening ΔHVdis is significantly decreased after aging, but the 2B and 2C alloys with increased Cu and Mg contents exhibit smaller decreases in ΔHVdis due to the prevented annihilation of dislocations. (iii) Precipitation hardening gives a dominant contribution to the peak hardness of the HPT(N = 50)-Peak aged samples, while the contribution of cluster hardening is quantified about 40 HV in the HPT-processed (N = 50) samples.
The summation of all the contribution of strengthening mechanisms;37)
\begin{align} \textit{HV}_{\textit{total}} &= \textit{HV}_{0} + \varDelta \textit{HV}_{\textit{gb}} + \varDelta \textit{HV}_{\textit{dis}} + \varDelta \textit{HV}_{\textit{ss}} \\ &\quad + \varDelta \textit{HV}_{\textit{clust}} + \varDelta \textit{HV}_{\textit{pre}}, \end{align} | (9) |
As mentioned above, the strength of HPT-processed samples of the three Al–Cu–Mg alloys was increased after aging at 423 K (Fig. 7), but the hardness increment was lower than that of the ST samples (Fig. 3). In this study, to establish more suitable heat treatment process, aging temperature was lowered to 373 K as previously proposed by the authors,12) and then a peak hardness of 293 HV was obtained together with a hardness increment of 31 HV for the 2B alloy. These values of hardness are higher than those of the HPT(N = 50)-Peak aged sample (i.e. 288 HV and 19 HV after aging at 423 K), and the corresponding average grain size and dislocation density (i.e. d = 170 nm and ρ = 1.7 × 1015 m−2) were found to be almost the same as those after aging at 423 K. Thus, the contribution of precipitation hardening could be increased by lowering aging temperatures, while the contributions of grain boundary hardening and dislocation hardening are remained.
The authors would like to acknowledge the Japan Institute of Light Metals, the Light Metal Educational Foundation, Inc. and the Japan Aluminium Association for their generous support to this study. One of the authors (TM) also acknowledges a Grant-in-Aid for Young Scientists from MEXT, Japan (JP21K14436).