High-Temperature Deformation of Naturally Aged 7010 Aluminum Alloy

: This study is focused on the deformation mechanism and behavior of naturally aged 7010 aluminum alloy at elevated temperatures. The specimens were naturally aged for 60 days to reach a saturated hardness state. High-temperature tensile tests for the naturally aged sample were conducted at different temperatures of 573, 623, 673, and 723 K at various strain rates ranging from 5 × 10 − 5 to 10 − 2 s − 1 . The dependency of stress on the strain rate showed a stress exponent, n , of ~6.5 for the low two temperatures and ~4.5 for the high two temperatures. The apparent activation energies of 290 and 165 kJ/mol are observed at the low, and high-temperature range, respectively. These values of activation energies are greater than those of solute/solvent self-diffusion. The stress exponents, n , and activation energy observed are rather high and this indicates the presence of threshold stress. This behavior occurred as a result of the dislocation interaction with the second phase particles that are existed in the alloy at the testing temperatures. The threshold stress decreases in an exponential manner as temperature increases. The true activation energy was computed by incorporating the threshold stress in the power-law relation between the stress and the strain. The magnitude of the true activation energy, Q t dropped to 234 and 102 kJ/mol at the low and high-temperature range, respectively. These values are close to that of diffusion of Zinc in Aluminum and diffusion of Magnesium in Aluminum, respectively. The Zener–Hollomon parameter for the alloy was developed as a function of effective stress. The data in each region (low and high-temperature region) coalescence in a segment line in each region.


Introduction
The deformation of aluminum and aluminum alloys at high-temperatures has received great interest in recent years [1][2][3][4]. Many engine components are manufactured using aluminum-based materials. Adding alloying elements to aluminum generally improves the mechanical properties of aluminum [5][6][7][8][9]. Aerospace and automotive industries utilize aluminum alloys in many structural components. There is great interest in developing highstrength aluminum alloys. The controlling process during high-temperature deformation is the dynamic recovery [4][5][6][7][8][9][10][11]. One of the most effective methods for strengthening the aluminum alloy is by precipitation of fine particles [12][13][14][15]. Second phase particles hinder the dislocation glide and cause the flow stress to rise. In creep experiments, the relation between the applied stress and the resulting strain rate is represented by the power-law function [5], where A is a constant, σ is the applied stress, n is the stress exponent, Q a is the apparent activation energy, R is the universal gas constant, and T is the absolute temperature. The 2 of 11 magnitude of the stress exponents classifies metals and alloys [8,12]. Two well-known classes of alloys exist, Class I and Class II alloys. Class I alloys (alloy class) have a stress exponent of~3 and strain rate is controlled by solute drag mechanism as in the case of Al-Mg alloys [16][17][18][19] and Al-Cu alloys [20]. Solid solution hardening is exhibited in Class I due to the high atomic-misfit parameter. Class II alloys (metal class) have a stress exponent of~5, as in the case of pure metals, and have low misfit parameters in the solid solutions. Dislocation climb is believed to be the strain rate controlling process in Class II [8,9]. The deformation mechanism in solid solution alloys started with dislocation climb and then followed by viscous glide. The slower process between the two processes controls the mechanism of deformation under the enforced experimental conditions [21]. The addition of Mg and/or Cu of high misfit parameter usually increase the strength of the alloy, and change the rate-controlling process from dislocation climb as in pure aluminum to dislocation glide in Al/Mg and Al/Cu alloys [19,20]. There exist different viscous drag processes that can simultaneously work with the solute drag mechanism. The contribution of each process depends on the type of alloy system [21,22]. High-temperature deformations of aluminum alloys are identified by the existence of the threshold stress, σ o . Second phase particles interact with dislocations in aluminum alloys and induce threshold stress [23,24]. As a result, the deformation process is directed by the effective stress (σ e = σ − σ o ). Spigarelli et al. [25] found that the stress exponent for hyper eutectic Al-17Si was around 4 to 5. The value of the stress exponent obtained was comparable to that evaluated in pure aluminum. On the other hand, the observed apparent activation energy was (Q = 210 kJ/mol) which was higher than the activation energy for self-diffusion in Al (Q d = 143 kJ/mol) [21]. This indicates that the threshold stress concept should be considered as it addresses the apparent activation energy and the stress exponent for creep [23]. True activation energy is then calculated based on the presence threshold stress and the resulted value is 160 kJ/mol [25]. The true activation energy value is somehow similar to that of pure aluminum. The high-temperature deformation of solid solution treated AA 7010 was investigated in our earlier work [15] and showed that the strain rate is controlled by threshold stress. The values of stress exponent, n, and apparent activation, Q a were~8.5 and 170 kJ/mol, respectively, for the different range of temperatures and strain rate applied, and climb of dislocations is the controlling deformation mechanism. The true activation energy was found to be 137 kJ/mol and n~5 when threshold stress was considered in the analysis.
The increased use of aluminum alloys in high-temperature applications, such as engine blocks, requires a better understanding of the performance of these alloys at high temperatures. In this work, the deformation behavior of naturally aged 7010 aluminum alloy at high temperatures is studied. The existence of threshold stress in the alloy system is investigated. The study will also discuss the rate-controlling mechanism for the hot deformation of the alloy as a sequence of second phase particles.

Materials and Methods
The Al-Zn alloy used in this study is a commercial alloy AA 7010 obtained from Smiths Company (Bedfordshire, UK). The material was characterized to identify the elemental analysis in the alloy using optical emission spectroscopy (SPECTRO Analytical Instruments GmbH., Kleve, Germany). Table 1 shows the composition of the AA 7010 obtained from the optical emission spectroscopy. Tensile specimens were cut to the required dimensions in order to conduct high-temperature experiments. The tensile specimens have a gauge length of 15 mm and a cross-section of 5 × 3 mm 2 . The longitudinal direction of the tensile samples was machined in a direction that is parallel to the rolling direction. AA 7010 alloy samples were heated to the solid solution state at 748 K for two hours and then quenched in a water bath. The samples were then naturally aged at room temperature for 60 days. The Vickers microhardness of naturally aged samples was measured using Buhler hardness tester (model micromet-5114, Buhler, Lake Bluff, IL, USA) at room temperature using a tungsten carbide ball of 1mm diameter and a load of 100 gf. At least five readings were conducted for each test. The tensile tests were conducted using a tensile testing machine (Instron, model 3385H, Norwood, MA, USA) with three heating zone split furnace. Tensile samples were heated to the desired testing temperature and were held at that temperature for 30 min prior to testing in the air. Four testing temperatures were selected; 573, 623, 673, and 723 K. The selected temperatures are similar to actual forming conditions found in the industry for this alloy. The testing temperatures were maintained by connecting a thermocouple to the sample's gauge section. Various testing speed is conducted at each testing temperature. Testing speed was designed to have initial strain rates ranging from 5 × 10 −5 s −1 to 10 −2 s −1 . The strain rates were based on the initial gauge length of the tensile specimens.

Hardness
The Vickers hardness of the naturally aged AA 7010 was measured as a function of aging time. The specimens were heated to 748 K (475 • C) and were soaked at that temperature for two hours. Then, the material quenched in cold water. The hardness versus time was then measured. Figure 1 shows the change of hardness versus time for the naturally aged samples. The duration of the test was 60 days. The hardness of AA 7010 is 75 HV just after quenching. The hardness increased with time and reached a constant value of 137 HV after 12 days. The values of hardness were recorded for the remaining time but slight changes occurred on it. The hardness reached a maximum after two weeks. The decomposition of the supersaturated solid solution during natural aging promotes the precipitation of the η hexagonal phase first (Mg(Zn 2 , AlCu)), and then of the S orthorhombic (Al 2 CuMg) and T cubic (Al 32 (Mg, Zn) 49 ) phases [26]. These phases are fine and dispersed in the matrix of the alloy that hinder the motion of dislocations at high temperature and result in the presence of threshold stress, σ o [23][24][25]. The present model is basically based on the effect of σ o on the calculated values of stress exponent and activation energy.

True Stress-Strain Rate
The true stress-strain curves of AA 7010 for temperatures 673 and 723 K are shown

True Stress-Strain Rate
The true stress-strain curves of AA 7010 for temperatures 673 and 723 K are shown in Figure 2a,b. At each testing temperature, different initial strain rates test conducted. Three regions in the true stress-strain curve are observed; namely; strain hardening region, steadystate stress region, necking, and/or failure region. True stress increases with the increase in strain rate. The maximum stress reduces with the increase in testing temperature.

True Stress-Strain Rate
The true stress-strain curves of AA 7010 for temperatures 673 and 723 K are shown in Figure 2a,b. At each testing temperature, different initial strain rates test conducted. Three regions in the true stress-strain curve are observed; namely; strain hardening region, steady-state stress region, necking, and/or failure region. True stress increases with the increase in strain rate. The maximum stress reduces with the increase in testing temperature.

Stress Dependence on Strain Rate
The effect of strain rate on the stress is presented in Figure 3. The relationship between strain rate, , and stress is presented in a double logarithmic scale. The graph was obtained for various temperatures, 573, 623, 673, and 723 K. The values of the strain ratestress points for the range of temperatures tested fall on line segments with a stress exponent of n~6.5 for the low-temperature range, while n~4.5 for the high-temperature range.

Stress Dependence on Strain Rate
The effect of strain rate on the stress is presented in Figure 3. The relationship between strain rate, . ε, and stress is presented in a double logarithmic scale. The graph was obtained

Stress Dependence on Strain Rate
The effect of strain rate on the stress is presented in Figure 3. The relationship between strain rate, , and stress is presented in a double logarithmic scale. The graph was obtained for various temperatures, 573, 623, 673, and 723 K. The values of the strain ratestress points for the range of temperatures tested fall on line segments with a stress exponent of n~6.5 for the low-temperature range, while n~4.5 for the high-temperature range.

Ductility
Elongation at the break (ductility) is drawn as a function of testing temperature for different initial strain rate, . ε, is presented in Figure 4. Strain at the break increases with the increase in testing temperature and decreases with the increase in strain rate.

Ductility
Elongation at the break (ductility) is drawn as a function of testing temperature for different initial strain rate, , is presented in Figure 4. Strain at the break increases with the increase in testing temperature and decreases with the increase in strain rate.

Apparent Activation Energy
The power-law function that relates the applied stress to strain in Equation (1) can be re-arranged for constant strain rate as,

Apparent Activation Energy
The power-law function that relates the applied stress to strain in Equation (1) can be re-arranged for constant strain rate as, The apparent activation energy can be computed using Equation (2) for each temperature range. Table 2 presents the activation energy, which gives Q a a value of 290 kJ/mol for the low-temperature range and 165 kJ/mol for the high-temperature range. The values of apparent activation energy calculated are higher than that for self-diffusion of aluminum which reflects the effect of the threshold stress process. It is clear from Table 2 that the strain rate does not affect the apparent activation energy, i.e., no change in the deformation process as reflected in the constant stress exponent value, n, over the strain rate range investigated. The standard deviations of the activation energies in Table 2 were within 2-3%.

Threshold Stress
The values stress exponent, n, developed in Figure 3 has a value of 6.5 for the lowtemperature range and 4.5 for the high temperatures range. The stress exponent value, n, found in the current study is greater than those found for binary Al-Zn alloys (n = 5) at comparable temperatures and strain rates [21,22]. Although the value of n, at a high temperature reaches 4.5, this value is associated with high activation energy. The existence of threshold stress might be the reason for the difference in stress exponent, n. The threshold stress is developed as the dislocations interact with the second phase particles.
The threshold stress can be obtained by plotting .

ε
(1/n) versus stress as shown in Figure 5.  sents the plot of stress vs.
⁄ for the high-temperature range. The data points f high-temperature zone (Figure 5b) represent a straight line. The extrapolation interse of these lines with the y-axis provides the magnitude of the threshold stress, σo, at temperature. The values of σo are 23.8, 12.7, 11.3, and 7.2 MPa at 573, 623, 673, and 7 respectively. The threshold stress, σo, decrease with the increase in testing temper [15,16]. The relation between the normalized threshold stress (σ o /G) and the temperature reciprocal (1/T) is shown in Figure 6; G is the shear modulus of Al [20]. The plot is presented in a semi-logarithmic curve. The threshold stress increases with the decrease of testing temperature. This relationship can be expressed as, where B o is a constant with a value of 1 × 10 −6 and Q o is also another constant with a value of 34.2 kJ/mol. The behavior observed here is comparable to that observed in other aluminum alloys and aluminum composites [23,24]. The data of threshold stress in both low and high-temperature regions suggest that the interaction mechanism of dislocations with second-phase particles is similar in both regions. The effective stresses (σ − σ o ) are plotted against the strain rates in a double logarithmic scale as shown in Figure 7. The stress exponent, n, can be estimated to be approximately 3 for the high-temperature range and 5 for the low-temperature range.

= exp
where Bo is a constant with a value of 1 × 10 −6 and Qo is also another constant with a v of 34.2 kJ/mol. The behavior observed here is comparable to that observed in other al num alloys and aluminum composites [23,24]. The data of threshold stress in both and high-temperature regions suggest that the interaction mechanism of dislocations second-phase particles is similar in both regions. The effective stresses (σ − σo) are plo against the strain rates in a double logarithmic scale as shown in Figure 7. The stres ponent, n, can be estimated to be approximately 3 for the high-temperature range a for the low-temperature range.

True Activation Energy
Equation (1) can be modified to account for the threshold stress that is existed in the

True Activation Energy
Equation (1) can be modified to account for the threshold stress that is existed in the alloy. Applied stress can be exchanged by the effective stress, (σ − σ o ). Equation (1) will then be, where k is Boltzmann's constant, A o is a dimensionless constant, b is the magnitude of the Burgers vector, Q t is the diffusion true activation energy that guides the deformation mechanism, and D o is a diffusion constant. By re-arranging Equation (4), at constant strain rate, the following equation obtained, where C is a constant. Equation (5) can be modified by taking the natural logarithm of all terms in the equation followed by differentiating the equation with respect to (1/T). The equation is then can be written in terms of Q t as: True activation energy can be computed from Equation (6) (Table 3). As presented in Table 3, the average magnitude of true activation energy, Q t , at low temperature was computed as 234 kJ/mol. This value is approximate to that described in the literature for self-diffusion of Zinc in Aluminum [21]. At high-temperature range (n = 3), the activation energy is approximate to the diffusion of Magnesium in Aluminum (102 kJ/mol) [27]. A similar observation is drawn here compared to Table 2 that the strain rate does not affect true activation energy. The standard deviations of the true activation energies in Table 3 were within 2-3%.
For the two regions, the Zener-Hollomon parameter Z = . ε exp Q t RT is plotted versus the effective stress ( Figure 8) using the true value of Q t at the two regions. The data in each region coalescence in a single segment line. The value of n = 5 at low temperature, suggests that deformation is controlled by dislocation climb using Zn diffusion. On the other hand, at high temperatures, the flow is dominated by the viscous glide of dislocations controlled by the diffusion of Mg atoms. The separation of the two lines is due to the difference in Q t for both regions.
kJ/mol) [27]. A similar observation is drawn here compared to Table 2 that the strain rate does not affect true activation energy. The standard deviations of the true activation energies in Table 3 were within 2-3%.
For the two regions, the Zener-Hollomon parameter = is plotted versus the effective stress ( Figure 8) using the true value of Qt at the two regions. The data in each region coalescence in a single segment line. The value of n = 5 at low temperature, suggests that deformation is controlled by dislocation climb using Zn diffusion. On the other hand, at high temperatures, the flow is dominated by the viscous glide of dislocations controlled by the diffusion of Mg atoms. The separation of the two lines is due to the difference in Qt for both regions.

Conclusions
Hot deformation behavior and deformation mechanism of naturally aged AA7010 Al alloy were investigated at high temperatures in the range of 573-723 K at different strain rates ranging from 5 × 10 −5 to 10 −2 s −1 . The value stress exponent, n, and the apparent activation energy, Qa's were found to be ~6.5 and 290 kJ/mol for low-temperature range (573-

Conclusions
Hot deformation behavior and deformation mechanism of naturally aged AA7010 Al alloy were investigated at high temperatures in the range of 573-723 K at different strain rates ranging from 5 × 10 −5 to 10 −2 s −1 . The value stress exponent, n, and the apparent activation energy, Q a 's were found to be~6.5 and 290 kJ/mol for low-temperature range (573-623 K), and~4.5 and 165 kJ/mol for the high-temperature range (673-723 K), respectively. Based on the analysis, threshold stress appeared to be present in the alloy during the deformation. The threshold stress decreases with the increase in temperature.
The true activation energy of the alloy was calculated and the value was 234 kJ/mol at a low-temperature range where n = 5. For the high-temperature range, the true activation energy was 102 kJ/mol where n = 3. By integrating the threshold stress in the analysis and plotting Zener-Hollomon against normalized effective stress, the slope of the curve revealed that a stress exponent, n of five for low-temperature range, and three for hightemperature range.
The changes in stress exponent value, n, from three to five indicate that the mechanism of deformation was dislocation climb in the low-temperature range to viscous glide in the high-temperature range. The ductility of the alloys increases with the increase in temperature, while the ductility decrease with the increase in strain rate. Institutional Review Board Statement: Not applicable.
Informed Con sent Statement: Not applicable.

Data Availability Statement:
The data presented in this study are available on request from the corresponding author.