Dynamic Tension Deformation of Rare-Earth Containing Mg-1.9Mn-0.3Ce Alloy Sheet along the Rolling Direction at Various Temperatures

: The tensile properties of rare-earth containing Mg-1.9Mn-0.3Ce alloy sheet along the rolling direction were experimentally investigated within the strain rate and temperature ranges of 0.001–1300 s − 1 and 213–488 K. The obtained stress-strain responses of the alloy sheet indicate that both yield strength and strain-hardening rate increase when the strain rate increases, whereas they decrease with increase of temperature. Microscopic examination results show that basal slip, prismatic slip, and {1012} tension twinning take place in the tensile plastic deformation, while the occurrence of twinning is not obviously a ﬀ ected by the rate and temperature. Tensile samples tend to fracture in a ductile mode with increasing strain rate and temperature.


Introduction
Due to excellent balance between light weight and high strength, magnesium and its alloys have been widely utilized instead of traditional metals [1][2][3][4][5]. Compared to the conventional Mg-Al and Mg-Zn alloys, magnesium alloys which contains the rare-earth elements such as yttrium, lanthanum, and cerium have a great ability to have weaker mechanical anisotropy as well as improved corrosion resistance and welding adaptability [6][7][8][9][10][11][12]. Rare-earth containing Mg-1.9Mn-0.3Ce alloy is commonly used as a structural component in aerospace and warship industries, where these components maybe subjected to high-speed loadings under extreme ambient temperatures in manufacture and service [8,13]. Accordingly, it is necessary to understand the stress-strain responses of this alloy at high loading rates and various temperatures under both tension and compression loadings due to the fact that tension-compression asymmetry of mechanical behavior commonly exists in magnesium alloys. However, owing to the technical complexity for high-rate tensile testing, most experimental investigations concerning high-rate plastic deformation of rare-earth containing magnesium alloys focus on compressive loadings.
As for the tensile stress, strain responses of conventional magnesium alloys such as AZ31 and ZK60, as well as rare-earth-containing magnesium alloys like ZEK100, experimental investigations indicate that tensile properties of magnesium alloys exhibit positive loading-rate sensitivity and negative temperature sensitivity. Moreover, the tensile plastic deformation mechanism in magnesium alloys is found to be related to the loading rate and temperature, and it is generally known that the basal and non-basal slips dominate the tensile plastic deformation of magnesium alloys. For instance, Geng et al. [14] carried out tensile tests on the magnesium alloy AZ31B at the rates of 2.8 × 10 −5 to 1.1 × 10 −1 s −1 at room temperature, and the results indicated that basal slip is dominant in tensile plastic deformation, and the contribution of the slips to plastic deformation decreases with the increase of rate. Kurukuri et al. [15] performed in-plane tensile tests on ZEK100 alloy sheet over a wide range of strain rates up to 1000 s −1 , and found the yield strength in the rolling direction was strongly rate sensitive and controlled by non-basal slip. Owing to a limited number of active slip systems in the low symmetrical hexagonal-close-packed (HCP) structure, magnesium alloys exhibit poor room-temperature formability, and non-basal slips are more likely to be activated at high temperatures. Wang et al. [16] found that the activity of non-basal slips in the tensile deformation of ZK60 alloy increases with increase of temperature. Habib et al. [17] investigated tensile responses of ZEK100 alloy sheet along the rolling plane at temperatures of 22 and 150 • C, and various strain rates up to 3 × 10 3 s −1 , and found basal slip and pyramidal <c + a> slip participate in plastic deformation. Twinning is also a significant deformation mechanism for magnesium alloys, which generally arises in the in-plane compression deformations for magnesium alloy sheet, while it seldom occurs under in-plane tensile loadings [18,19]. Wang et al. [20] performed dynamic tensile tests on the extruded AZ31 alloy along the extrusion and transverse directions at a strain rate of 1800 s −1 , and observed that 1012 extension twinning occurs in plastic deformation.
The goal of the present study is to investigate the influences of the loading rate and test temperature on the tensile plastic deformation of a rare-earth containing Mg-1.9Mn-0.3Ce alloy sheet. Uniaxial tensile tests for Mg-1.9Mn-0.3Ce alloy sheet along the rolling direction at temperatures of 213-488 K and at strain rates up to 1300 s −1 were performed. The deformed samples under various loading conditions were examined by means of electron backscatter diffraction (EBSD) and scanning electron microscope (SEM) techniques, and the plastic deformation mechanism and fracture mode analyzed.

Materials and Methods
A commercial Mg-1.9Mn-0.3Ce alloy was investigated in the form of rolling sheet. The nominal chemical composition (in wt%) of the alloy was 1.9 Mn, 0.3 Ce, 0.002 Zn, 0.016 Si, 0.005 Fe, 0.0001 Be, and the balance of Mg. EBSD measurement of the as-received alloy along the rolling/transverse direction was performed, and the initial microstructure is shown in Figure 1. The average size of grains is approximately 10 µm, and the relatively weak basal texture is formed with a lower maximum intensity compared to typical AZ31 rolled sheet with a maximum intensity of 14.6 [21]. The simple tensile tests for the alloy sheet along the rolling direction were conducted under various temperature and strain-rate conditions. Tensile tests at the rates of 1 × 10 −3 , 1 × 10 −2 and 5 × 10 −2 s −1 were carried out on the MTS 810 testing machine (MTS systems corporation, Eden Prairie, MN, USA). Dynamic tests at the rates of 3 × 10 2 and 1.3 × 10 3 s −1 were conducted using the split Hopkinson tension bar (SHTB) technique (USTC, Hefei, China), as schematically shown in Figure 2. The measuring principle for the SHTB test is similar to that in the common split Hopkinson pressure bar (SHPB) test, which has been widely used to obtain the dynamic compressive stress-strain responses of metallic materials [22][23][24]. The main differences between SHTB and SHPB systems are the generation of incident stress pulse and the connection of the sample with incident/transmitted bars as well as sample geometry. Here, the dog-bone-plate-shaped sample was adhesively bonded between the bars. The ambient temperatures of 213-253 K were obtained by adding liquid nitrogen into the cryogenic temperature device (USTC, Hefei, China), and ambient temperatures of 358-488 K were achieved by radiation heating technology (USTC, Hefei, China). The strain histories in the incident/transmitted bars were monitored by strain gages (Hanzhongjingce, Hanzhong, China) bonded on the surfaces of the bars. Based on the one-dimensional measuring principle of elastic stress-wave propagation in the bars, the engineering stress-strain responses of the sample can be obtained [22]. The detailed introduction of the SHTB testing system can be found elsewhere [25]. Sample geometries for quasi-static and dynamic tests are shown in Figure 3. To ensure stress equilibrium in the sample and constant strain-rate loading in the SHTB test, the sample used in the high-rate tests had a gage length of 10 mm, gage width of 4 mm, and thickness of 1.1 mm. The sample geometry utilized for quasi-static tests was similar to the dynamic one. However, gage length, 78.6 mm, width 8 mm, and thickness 1.2 mm were adopted to avoid the end effect which meets the requirement of the GB/T 228.1-2010 tensile testing standard for metallic materials [26]. All samples were machined along the rolling direction of the alloy sheet, and the sample surface was parallel to the rolling plane. To obtain reliable test results, at least three tests were carried out for each loading case. EBSD (Hitachi Limited, Tokyo, Japan) measurements were performed for samples stretched at various strain rates and temperatures. First, the post-deformed samples were mechanically polished, and then ion etching was carried out for precision polishing. An area of 470 µm by 310 µm was scanned with 1 µm step size for each deformed sample. Figure 4 illustrates the tensile true stress-true strain responses of Mg-1.9Mn-0.3Ce alloy sheet as a function of temperature at five strain rates. It is clear that the tensile deformation of Mg-1.9Mn-0.3Ce alloy sheet is relatively sensitive to strain rate and test temperature. Both initial yielding and subsequent strain hardening exhibit positive strain-rate dependence and negative temperature dependence. The temperature effect on the tensile deformation for quasi-static and dynamic loadings are different, and such temperature dependence is more pronounced under quasi-static loadings. For example, as for yield strength which corresponds to the true stress at the plastic strain of 0.2%, its value is reduced by 45% at the rate of 0.001 s −1 and 25% at the rate of 1300 s −1 within the temperature range of 213-488 K. On the other hand, the effect of strain rate on both initial yielding and strain hardening behavior is more apparent at high temperatures. For instance, a 20% increase in yield strength is found at 213 K and strain rates ranging from 0.001 to 1300 s −1 , while yield strength increases by 75% at 488 K, as seen in Figure 5.   Figure 5 shows the variation of yield strength with strain rate and temperature. As seen in Figure 5a, the value of yield strength increases almost linearly with logarithm strain rate, and such an increasing trend is more obvious at high temperatures. It is noted in Figure 5b that the yield strength decreases with temperature, which is more apparent for quasi-static loadings.

Tensile Behavior at Various Strain Rates and Temperatures
To quantitatively compare the strain-hardening behavior of the alloy sheet at various strain rates and temperatures and evaluate its rate and temperature dependence, the average value for strain hardening rate (SHR) over a given strain range is calculated as where σ 0.06 and σ 0.04 are flow stresses at the plastic strains of 0.06 and 0.04. Namely, the value of SHR corresponds to the slope between the plastic strains of 0.04 and 0.06, which are extracted from the true stress-true strain responses in Figure 4. The calculated values of SHR at various rates and temperatures are shown in Figure 6. The value of SHR increases when the strain rate is increased, and decreases with increasing temperature. In particular, SHR-temperature curves almost coincide with each other at high strain rates. A similar phenomenon also can be seen under quasi-static loading conditions. Moreover, the values of SHR at the high strain rates of 300 and 1300 s −1 are greater than the quasi-static one for all test temperatures, which is consistent with the experimental results for magnesium alloy ZEK100 [17]. Compared to quasi-static loadings, high-rate loading can be regarded as an adiabatic deformation process. Normally, the strain hardening rate decreases due to adiabatic temperature rise softening which is from the irreversible plastic work in the samples. However, the strain hardening behavior for Mg-1.9Mn-0.3Ce alloy increases at high strain rates, which is totally different from other HCP metals such as α and α + β titanium alloys [27].

Deformation Mechanism and Fracture Behavior
It should be emphasized that the fractured samples under high-rate loadings were used for EBSD analysis in the present investigation, implying that EBSD samples are not stretched to the identical strain levels in the high-rate tests. Due to the reflection of stress-pulse propagation in the incident and transmitted bars, a second loading is applied to the adhesively bonded tensile sample if the sample is not stretched to fracture after the first incident stress pulse passes through it, which results in a second plastic deformation in the sample. Consequently, it is quite difficult to carry out a high-rate loading-unloading procedure to acquire the sample deformed to a given strain level in the SHTB test. On the other hand, the fracture strains at high strain rates and various temperatures do not change too much, as shown in Figure 4e, suggesting that it is acceptable to compare and evaluate the EBSD results using high-rate fractured samples. Figure 7 displays the {0001} and {1010} pole figures of deformed samples. It is clear that the sample after the tensile loading has a strong basal texture. The {0001} basal plane is still parallel to the sheet surface, which is the result of basal dislocation activity. Furthermore, the movement of the central basal pole along the direction perpendicular to the loading axis shows that prismatic slip plays a prominent role in the plastic deformation, which was also observed in the tensile plastic deformation of Mg-Al alloys subjected to quasi-static and dynamic loadings [18]. The emerging texture component is labeled with a black dotted circle in the {0001} pole figures in Figure 7, which is related to {1012} tension twinning. The intensity of the emerging texture component is low, indicating that {1012} tension twinning plays a weak role in tensile plastic deformation. Similarly, small amounts of {1012} tension twinning were discovered in the AZ31 sheet after dynamic tensile in-plane loadings [18]. As seen in Figure 7, the pole figures under different loading conditions are similar, from which it can be extrapolated that the temperature and strain-rate have little effects on the tensile plastic deformation mechanism for Mg-1.9Mn-0.3Ce alloy sheet subjected to in-plane tensile loadings.    Figure 9 shows the misorientation distribution in deformed samples. For clarity, the region with the misorientation angle greater than 10 • in the figure is enlarged locally. Some specific misorientation angles can be observed, for example, the 86 • misorientation angle corresponding to the {1012} tension twin boundary. The misorientation distribution of high-angle grain boundaries in the as-received Mg-1.9Mn-0.3Ce alloy is approximately uniform. After tensile loadings, the grain boundaries with misorientation angle 86 • develop, which indicates {1012} tension twinning takes part in the tensile plastic deformation. However, the fraction of twins is not high, and changes little under various tensile loading conditions, indicating that twinning is not the dominant mechanism in the tensile plastic deformation for Mg-1.9Mn-0.3Ce alloy sheet loaded in the rolling direction at both quasi-static and high rates.  Figure 10. River-like patterns and dimples occupy the fracture surfaces, which indicate that the fracture of Mg-1.9Mn-0.3Ce alloy exhibits a mixed mode of ductile and brittle fracture when the test temperature is equal to or below room temperature. When the strain rate is increased to the high-rate range, the number of dimples increases and the depth of dimples becomes deeper. When the ambient temperature rises to 423 K, it is noticed in Figure 10e,f that the dimples are evenly distributed on the whole fracture surface, which is the obvious characteristic of ductile fracture. At ambient temperature of 423 K, when the strain rate is increased to 1300 s −1 , the diameter of the dimples on the fracture surface becomes smaller and the number of dimples increases. Khan et al. [19] carried out tensile tests on AZ31 alloy at various temperatures, and it was also found that the number of dimples in the fracture surface increased significantly with temperature. Precipitation can be found in Figure 10, and Mg-Mn-Ce and Mg-Ce precipitates can be identified with an average size of less than 0.5 µm, as illustrated in Figure 11. Mg-Mn-Ce precipitate is approximately spherical shaped, and Mn-Ce precipitate is in an irregular morphology. The number of Mg-Mn-Ce precipitates is greater than that of Mg-Ce precipitates, while the volume fractions of these two phases are very small. At lower temperatures, brittle fracture occurs where river-like markings are found, which is related to the precipitates. However, as the test temperature increases, ductile fracture takes place.

Conclusions
Simple tensile experiments for rare-earth containing Mg-1.9Mn-0.3Ce alloy sheet along the rolling direction were performed within the strain rate and temperature ranges of 0.001-1300 s −1 and 213-488 K. The tension stress-strain behavior, plastic deformation mechanism, and fracture mode of the alloy sheet are summarized as follows.
(1) Tensile behavior of Mg-1.9Mn-0.3Ce alloy sheet in the rolling direction has a positive strain-rate dependence and a negative temperature dependence. Both yield strength and strain hardening rate decrease with increasing test temperature, and increase with increasing strain rate. Especially, the strain-rate dependence for yield strength increases with temperature. Moreover, the strain hardening rate at high strain rates is much greater than for quasi-static ones.
(2) EBSD measurement indicates that basal slip and prismatic slip are the main plastic deformation mechanisms for Mg-1.9Mn-0.3Ce alloy sheet subjected to in-plane tensile loading. A small amount of 1012 tension twinning occurs in the tensile plastic deformation, yet the fraction of twins changes little at high strain rates.
(3) SEM observation shows that the mixture mode of ductile and brittle fracture changes into ductile type with increasing test temperature. Moreover, the diameter of the dimples decreases and the number of dimples increases under high-rate loadings at high temperatures.

Conflicts of Interest:
The authors declare no conflict of interest.