# Transition in Deformation Mechanism of AZ31 Magnesium Alloy during High-Temperature Tensile Deformation

Authors: Masafumi Noda; Hisashi Mori; Kunio Funami
Journal: Journal of Metallurgy
 (2011)

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## Abstract

Magnesium alloys can be used for reducing the weight of various structural products, because of their high specific strength. They have attracted considerable attention as materials with a reduced environmental load, since they help to save both resources and energy.  In order to use Mg alloys for manufacturing vehicles, it is important to investigate the deformation mechanism and transition point for optimizing the material and vehicle design. In this study, we investigated the transition of the deformation mechanism during the high-temperature uniaxial tensile deformation of the AZ31 Mg alloy. At a test temperature of 523 K and an initial strain rate of3×10−3 s−1, the AZ31 Mg alloy (mean grain size: ~5 μm) exhibited stable deformation behavior and the deformation mechanism changed to one dominated by grain boundary sliding.


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## Body

## 1. Introduction

Recently, there has been a strong demand for measures that can be adopted to improve the energy efficiency of vehicles and to reduce CO2 emission. One such measure involves further reducing the weight of members or devices in vehicles [1–3]. Possible measures for weight reduction include reducing the number of vehicle parts, decreasing the member thickness, and using light materials. Another approach is to use Mg alloys, which are the lightest and the most promising metallic materials [4–6]. Thus, Mg alloys have been widely used in thixomolding and casting products [7, 8]. To increase the utility of these alloys, attempts to increase their strength and formability have been made [9–12]. Mg alloys have been used in vehicles, and they have recently been used as secondary strength members in cell phones, electronic devices, and so forth [13, 14]. Increasing the use of Mg alloys in the vehicle members of transport devices involves many challenges, including optimizing the plastic working and strengthening the alloys to allow the fabrication of members with various shapes.Cold working is known to be a difficult process for conducting the plastic working of Mg alloys since the deformability of the alloys is extremely small at room temperature, because of the hexagonal close-packed structure of Mg alloys [15]. However, Mg alloys with a slip system other than the basal slip system can become more active; this results in a lower deformation resistance and a considerable increase in expansion when the deformation temperature increases. Therefore, considering the product precision and formability, plastic working of Mg alloy members is conducted mostly at high temperatures [16]. There are many reports on the strength, elongation, and superplasticity of Mg alloys [17–19]. However, to develop plastic working technology for Mg alloys, it is important to study the high-temperature deformation behavior of Mg alloys and their drawability and extrusion properties. The majority of studies on Mg alloys such as the Mg-Zn-Y [20, 21] and Mg-Zn-Gd [22, 23] alloys have neither addressed the development of technology for controlling the working nor included a detailed analysis of the deformation behavior. Furthermore, few researchers have reported on the transition points where the high-temperature deformation behavior of the AZ31 Mg alloy changes, although superplastic deformation has been investigated [24–27]. Therefore, in this study, we examined the transition points of the deformation mechanism observed under high-temperature deformation by conducting high-temperature uniaxial tensile tests on rolled AZ31 material and by evaluating the stability of the deformation mechanism during high-temperature deformation. The objective is to develop a plastic working technology for the AZ31 Mg alloy.


## 2. Experimental Procedure

The tensile specimen was an extruded rod of the AZ31 Mg alloy (rod diameter: 70 mm; rod length: 800 mm). The chemical composition of the rod (in mass%) was as follows: Al, 3.0%; Zn, 0.89%; Mn, 0.5%; Cu, 0.0016%; Si, 0.028%; Fe, 0.002%; and Mg constituted the rest of the mass. Figure1 shows an optical micrograph of the extruded material. The grain size of the extruded material was 27 μm. We cut out the rolled material from the extruded rod material such that it had a thickness of 5 mm, a length of 50 mm, and a width of 50 mm; the cutting was performed by machining. The rolled material was then homogenized by maintaining it at 573 K for 1.8 ks in an electric furnace and cooling it in water. After homogenization, the rolled material was maintained for 0.36 ks in an electric furnace heated to 493 K and subjected to multipass rolling (rolling temperature: 493 K; rolling rim speed: 0.17 m/s). Rolling was conducted so that the thickness would be progressively reduced from 5.0 to 2.5, 1.5, and 1.0 mm, and the material was reheated in an electric furnace for 0.18 ks when each pass was completed. The material was cooled in water after the thickness decreased to 1.0 mm. Longitudinal section observations showed that the rolled plate had an isometric grain diameter of approximately 5 μm. A tensile specimen with a gauge length, width, and thickness of 8, 4, and 1 mm, respectively, was obtained from the rolled material. Here, the direction of material extrusion, direction of rolling, and tensile direction were parallel. For the high-temperature tensile test conducted in an Ar atmosphere, the range of test temperatures was set to 523 to 623 K, the range of initial strain rates was set to 3×10-1 to 3×10-4 s−1, and the rate of temperature increase was set to 0.17 K s−1. The temperature was maintained for 0.9 ks when the target temperature was reached. After deformation, the structure was observed by optical microscopy and by field-emission scanning electron microscopy (FE-SEM). Figure 2 shows an optical micrograph of the longitudinal section structure, the inverse pole figure (IPF) map, and the pole figure (PF) map of the hot-rolled plate obtained by electron backscatter diffraction (EBSD). The EBSD analysis was conducted using a measured view of 150 μm × 150 μm in 0.3 μm steps. Figure 2(c) shows that the rolled material had a basal texture with a maximum intensity of 6.3 at 80% rolling reduction. The basal texture is considered to have developed because the number of passes was three and rolling was conducted at 493 K with reheating within a short period. The intensity of the basal texture and that of the sheet rolled using a single roller when the AZ31 Mg alloy was subjected to working from 473 to 673 K until the rolling reduction reached 85.7% were found to be 7 and 5, respectively, although the grain is isometric [28].Figure 1
Optical micrograph of the as-extruded material.Optical micrograph (a), inverse pole figure map (b), and pole figure map (c) of the as-rolled specimens.
(a)(b)(c)


## 3. Results

### 3.1. Mechanical Properties of High-Temperature Tensile Deformation

To study the effects of test temperatures and strain rate on tensile deformation, the nominal-stress-nominal-strain curve at test temperatures of 523, 573, and 623 K for initial strain rates of3×10-1 s−1 to 3×10-4 s−1 are shown in Figure 3. The stress-strain behavior shows an increase in stress with concurrent work hardening during the initial stages of tensile deformation; the stress then reached a maximum, after which the tensile specimen broke and the stress decreased because of work hardening [29].Nominal-stress-nominal-strain curves for tensile deformation at 523 K (a), 573 K (b), and 623 K (c) at an initial strain rate of3×10-1 to 10−4 s−1.
(a)(b)(c)At the high strain rates in the range we considered, the tensile specimen broke suddenly after it showed the maximum stress. However, the level of work hardening as well as the maximum stress decreased as the initial strain rate decreased and the test temperature increased; a stationary deformation area and massive extension were observed under low stress. These behaviors are consistent with the high-temperature deformation and superplastic behavior of AZ-type Mg alloys [30, 31], Mg-RE (rare-earth) alloys [32, 33], and Al-Mg alloys [34].


### 3.2. Effects of Strain Rate and Temperature on Breaking Elongation and Maximum Stress

Figure4 shows the effects of test temperature and strain rate on breaking elongation. The breaking elongation tended to increase as the initial strain rate decreased and the test temperature increased. At the high initial strain rate of 3×10-1 s−1, the breaking elongation was nearly 100%, regardless of the test temperature.Figure 4
Relationship between elongation and initial strain rate of the AZ31 Mg rolled sheet. The test temperature is indicated in the figure.Figure5 shows the effect of the test temperature and strain rate on deformation stress. Since the rigidity modulus is affected by the temperature, the deformation stress shown is normalized with the rigidity modulus at the maximum stress [35, 36]. The rigidity modulus was calculated on the basis of the relationship between the rigidity modulus and temperature given by the following equation:(1)μ=μ0(1+(T-300TM)(TMdμμ0dT)).Figure 5
Relationship between the initial strain rate and tensile stress normalized by the shear modulus, for each test temperature.Here,μ denotes the rigidity modulus at a certain temperature (T), μ0: the initial rigidity modulus (1.6×104 (MNm−2) for Mg), TM, the melting point (924 K), and (TMδμ/μ0δT), a constant equal to −0.49. The double-logarithmic relationship between the initial strain rate and maximum stress normalized by the rigidity modulus was linear, as shown in Figure 5. It is evident that the normalized maximum stress decreases as the test temperature increases and the strain rate decreases. We calculated the stress exponent (n) from the gradient of this linear relationship and found that the value of n is 2 at 573 K and 623 K and strain rates of 3×10-3 to 10−4 s−1; this value is different from that (n=5) in all other conditions. This difference is attributed to the difference in deformation mechanisms.


### 3.3. Strain Hardening Index and Strain Rate Sensitivity

Figure6 shows the relationship between the strain hardening index (ϑ) and the test temperature. The value of ϑ was 1.25 to 1.6 at the test temperature of 523 K, and the effect of the strain rate is relatively small. However, ϑ decreased as the temperature increased, and the rate of decrease increased as the strain rate decreased. The decrease in the value of ϑ was larger under the conditions in which the stationary deformation behavior was observed from the nominal-stress-nominal-strain curve shown in Figure 3. Under the assumption that the stationary deformation occurred depending on the balance between dynamic recovery or recrystallization and work hardening, the decrease in ϑ at high temperatures and low strain rates may be attributed to dynamic recovery and recrystallization [37].Figure 6
Relationship between the strain hardening ratio and test temperature.Figure7 shows the relationship between the initial strain rate and the plastic flow stress. Here, we defined the plastic flow stress as the net stress that is involved in plastic deformation by subtracting the proof stress from the maximum stress. The relationship between the strain rate and the plastic flow stress at 523 K is represented by a gradual curve for which m is about 0.1, and the strain rate sensitivity was small. On the other hand, the relationship at 623 K is represented as a curve that bends as the strain rate decreases; the m value at low strain rates is approximately 0.3, and the strain rate sensitivity was high. At 573 K, which is the intermediate temperature, the relationship is represented by a gradual curve whose shape is similar to that at 523 K for high strain rates and similar to that at 623 K for low strain rates; the m value for this curve is 0.2 and 0.3 for high and low strain rates, respectively.Figure 7
Relationship between the initial strain rate and plastic flow stress. Them value is indicated in the figure.


### 3.4. Observation of Plate Surface Structure after High-Temperature Tensile Deformation

Figure8 shows the deformed surface structure for the case in which the same degree of deformation was applied at each strain rate at 573 K and 623 K. The surface structure was observed by optical microscopy. On the basis of the results shown in Figures 5–7, we selected 573 K and 623 K as the test temperatures and 3.0×10-2 to 3.0×10-4 s−1 as the range of initial strain rates, which was believed to include the point at which the deformation transition occurred. To compare the structural change before breaking, we varied the degree of deformation according to the nominal stress-strain curve shown in Figure 3. Figure 8 shows that isometric cavities were formed as the strain rate decreased and the test temperature increased, while cavities that elongated in the tensile direction were formed at high strain rates. On the basis of the SEM structure (Figure 10) described later, the cavities were considered to grow and merge without elongation in the tensile direction because of active occurrence of grain boundary sliding (GBS) under high-temperature and low-strain-rate conditions. Since the structures observed by optical microscopy at 573 K and 623 K were similar, we calculated the area fraction of cavities relative to the degree of deformation on the basis of these structures after causing deformation at 573 K and 623 K and initial strain rates of 3.0×10-3 s−1 and 3.0×10-4 s−1 (Figure 9). The area fraction of cavities relative to the degree of deformation increased as the test temperature increased and the strain rate decreased. At 573 K, the area fraction of cavities was proportional to the degree of deformation, while at 623 K, the relationship was proportional only until the degree of deformation reached 140% and the gradient of the area fraction of cavities varied with further deformation. To measure the area fraction of cavities while avoiding the effects of constriction, and so forth, which occur under a large deformation, we obtained measurements at a point 500 μm from the center of the parallel section. Figure 10 shows the SEM structures of the plate surface of the tensile specimen subjected to various degrees of deformation at 573 K and 673 K and an initial strain rate of 3.0×10-3 s−1. At 573 K, GBS and transgranular sliding occurred and generated minute cavities on grain boundaries, although little unevenness was caused by GBS at 20% deformation. At 40% deformation, GBS was clearly dominant, and the surface of the tensile specimen was uneven. When the degree of deformation was 80% and higher, cavities were clearly observed and GBS occurred; further, a fiber-like structure [38, 39] was formed on the grain boundary, along with the growth of cavities. However, grains were not elongated in the tensile direction. At 673 K, unevenness was clearly observed on the surface of the tensile specimen subjected to 20% deformation and a fiber-like structure and cavities formed on the grain boundary. It is surmised that the merging of cavities (Figure 10(g)) and transgranular sliding occurred as the degree of deformation was increased. Sliding deformation was more clearly observed at 623 K than at 573 K. Transgranular sliding was reported even for deformation temperatures of 573 K and above when the strain rate was low and the degree of deformation of the extruded AZ61 material was 30% [40]. The results of this study agree with this observation. The bending of the linear curve shown in Figure 5 at 573 K and 623 K and initial strain rates of 3.0×10-3 to 3.0×10-4 s−1, as well as the large m value, are attributed to the fact that structural changes occurred mainly by GBS.Optical micrographs of the as-rolled specimens deformed during tensile tests at 573 K (a)–(c) and 623 K (d)–(f), forε = 85% (a, d), ε = 135% (b, e), and ε = 180% (c, f).
(a)(b)(c)(d)(e)(f)Figure 9
Relationship between the area fraction of cavities and nominal stress at 573 K and 623 K for each deformation ratio.SEM micrographs of the as-rolled specimens deformed during tensile tests at 573 K (a)–(d) and 623 K (e)–(h) at an initial strain rate of3×10-3 s−1, for tensile deformation ratios of 20% (a, e), 40% (b, f), 80% (c, g), and 120% (d, h). The tensile direction is along the vertical direction.
(a)(b)(c)(d)(e)(f)(g)(h)


## 3.1. Mechanical Properties of High-Temperature Tensile Deformation

To study the effects of test temperatures and strain rate on tensile deformation, the nominal-stress-nominal-strain curve at test temperatures of 523, 573, and 623 K for initial strain rates of3×10-1 s−1 to 3×10-4 s−1 are shown in Figure 3. The stress-strain behavior shows an increase in stress with concurrent work hardening during the initial stages of tensile deformation; the stress then reached a maximum, after which the tensile specimen broke and the stress decreased because of work hardening [29].Nominal-stress-nominal-strain curves for tensile deformation at 523 K (a), 573 K (b), and 623 K (c) at an initial strain rate of3×10-1 to 10−4 s−1.
(a)(b)(c)At the high strain rates in the range we considered, the tensile specimen broke suddenly after it showed the maximum stress. However, the level of work hardening as well as the maximum stress decreased as the initial strain rate decreased and the test temperature increased; a stationary deformation area and massive extension were observed under low stress. These behaviors are consistent with the high-temperature deformation and superplastic behavior of AZ-type Mg alloys [30, 31], Mg-RE (rare-earth) alloys [32, 33], and Al-Mg alloys [34].


## 3.2. Effects of Strain Rate and Temperature on Breaking Elongation and Maximum Stress

Figure4 shows the effects of test temperature and strain rate on breaking elongation. The breaking elongation tended to increase as the initial strain rate decreased and the test temperature increased. At the high initial strain rate of 3×10-1 s−1, the breaking elongation was nearly 100%, regardless of the test temperature.Figure 4
Relationship between elongation and initial strain rate of the AZ31 Mg rolled sheet. The test temperature is indicated in the figure.Figure5 shows the effect of the test temperature and strain rate on deformation stress. Since the rigidity modulus is affected by the temperature, the deformation stress shown is normalized with the rigidity modulus at the maximum stress [35, 36]. The rigidity modulus was calculated on the basis of the relationship between the rigidity modulus and temperature given by the following equation:(1)μ=μ0(1+(T-300TM)(TMdμμ0dT)).Figure 5
Relationship between the initial strain rate and tensile stress normalized by the shear modulus, for each test temperature.Here,μ denotes the rigidity modulus at a certain temperature (T), μ0: the initial rigidity modulus (1.6×104 (MNm−2) for Mg), TM, the melting point (924 K), and (TMδμ/μ0δT), a constant equal to −0.49. The double-logarithmic relationship between the initial strain rate and maximum stress normalized by the rigidity modulus was linear, as shown in Figure 5. It is evident that the normalized maximum stress decreases as the test temperature increases and the strain rate decreases. We calculated the stress exponent (n) from the gradient of this linear relationship and found that the value of n is 2 at 573 K and 623 K and strain rates of 3×10-3 to 10−4 s−1; this value is different from that (n=5) in all other conditions. This difference is attributed to the difference in deformation mechanisms.


## 3.3. Strain Hardening Index and Strain Rate Sensitivity

Figure6 shows the relationship between the strain hardening index (ϑ) and the test temperature. The value of ϑ was 1.25 to 1.6 at the test temperature of 523 K, and the effect of the strain rate is relatively small. However, ϑ decreased as the temperature increased, and the rate of decrease increased as the strain rate decreased. The decrease in the value of ϑ was larger under the conditions in which the stationary deformation behavior was observed from the nominal-stress-nominal-strain curve shown in Figure 3. Under the assumption that the stationary deformation occurred depending on the balance between dynamic recovery or recrystallization and work hardening, the decrease in ϑ at high temperatures and low strain rates may be attributed to dynamic recovery and recrystallization [37].Figure 6
Relationship between the strain hardening ratio and test temperature.Figure7 shows the relationship between the initial strain rate and the plastic flow stress. Here, we defined the plastic flow stress as the net stress that is involved in plastic deformation by subtracting the proof stress from the maximum stress. The relationship between the strain rate and the plastic flow stress at 523 K is represented by a gradual curve for which m is about 0.1, and the strain rate sensitivity was small. On the other hand, the relationship at 623 K is represented as a curve that bends as the strain rate decreases; the m value at low strain rates is approximately 0.3, and the strain rate sensitivity was high. At 573 K, which is the intermediate temperature, the relationship is represented by a gradual curve whose shape is similar to that at 523 K for high strain rates and similar to that at 623 K for low strain rates; the m value for this curve is 0.2 and 0.3 for high and low strain rates, respectively.Figure 7
Relationship between the initial strain rate and plastic flow stress. Them value is indicated in the figure.


## 3.4. Observation of Plate Surface Structure after High-Temperature Tensile Deformation

Figure8 shows the deformed surface structure for the case in which the same degree of deformation was applied at each strain rate at 573 K and 623 K. The surface structure was observed by optical microscopy. On the basis of the results shown in Figures 5–7, we selected 573 K and 623 K as the test temperatures and 3.0×10-2 to 3.0×10-4 s−1 as the range of initial strain rates, which was believed to include the point at which the deformation transition occurred. To compare the structural change before breaking, we varied the degree of deformation according to the nominal stress-strain curve shown in Figure 3. Figure 8 shows that isometric cavities were formed as the strain rate decreased and the test temperature increased, while cavities that elongated in the tensile direction were formed at high strain rates. On the basis of the SEM structure (Figure 10) described later, the cavities were considered to grow and merge without elongation in the tensile direction because of active occurrence of grain boundary sliding (GBS) under high-temperature and low-strain-rate conditions. Since the structures observed by optical microscopy at 573 K and 623 K were similar, we calculated the area fraction of cavities relative to the degree of deformation on the basis of these structures after causing deformation at 573 K and 623 K and initial strain rates of 3.0×10-3 s−1 and 3.0×10-4 s−1 (Figure 9). The area fraction of cavities relative to the degree of deformation increased as the test temperature increased and the strain rate decreased. At 573 K, the area fraction of cavities was proportional to the degree of deformation, while at 623 K, the relationship was proportional only until the degree of deformation reached 140% and the gradient of the area fraction of cavities varied with further deformation. To measure the area fraction of cavities while avoiding the effects of constriction, and so forth, which occur under a large deformation, we obtained measurements at a point 500 μm from the center of the parallel section. Figure 10 shows the SEM structures of the plate surface of the tensile specimen subjected to various degrees of deformation at 573 K and 673 K and an initial strain rate of 3.0×10-3 s−1. At 573 K, GBS and transgranular sliding occurred and generated minute cavities on grain boundaries, although little unevenness was caused by GBS at 20% deformation. At 40% deformation, GBS was clearly dominant, and the surface of the tensile specimen was uneven. When the degree of deformation was 80% and higher, cavities were clearly observed and GBS occurred; further, a fiber-like structure [38, 39] was formed on the grain boundary, along with the growth of cavities. However, grains were not elongated in the tensile direction. At 673 K, unevenness was clearly observed on the surface of the tensile specimen subjected to 20% deformation and a fiber-like structure and cavities formed on the grain boundary. It is surmised that the merging of cavities (Figure 10(g)) and transgranular sliding occurred as the degree of deformation was increased. Sliding deformation was more clearly observed at 623 K than at 573 K. Transgranular sliding was reported even for deformation temperatures of 573 K and above when the strain rate was low and the degree of deformation of the extruded AZ61 material was 30% [40]. The results of this study agree with this observation. The bending of the linear curve shown in Figure 5 at 573 K and 623 K and initial strain rates of 3.0×10-3 to 3.0×10-4 s−1, as well as the large m value, are attributed to the fact that structural changes occurred mainly by GBS.Optical micrographs of the as-rolled specimens deformed during tensile tests at 573 K (a)–(c) and 623 K (d)–(f), forε = 85% (a, d), ε = 135% (b, e), and ε = 180% (c, f).
(a)(b)(c)(d)(e)(f)Figure 9
Relationship between the area fraction of cavities and nominal stress at 573 K and 623 K for each deformation ratio.SEM micrographs of the as-rolled specimens deformed during tensile tests at 573 K (a)–(d) and 623 K (e)–(h) at an initial strain rate of3×10-3 s−1, for tensile deformation ratios of 20% (a, e), 40% (b, f), 80% (c, g), and 120% (d, h). The tensile direction is along the vertical direction.
(a)(b)(c)(d)(e)(f)(g)(h)


## 4. Discussion

### 4.1. Evaluation of the Stability of High-Temperature Deformation

On the basis of the experimental results, we found that the strength and breaking elongations of the AZ31 Mg alloy were dependent on the test temperature and strain rate at high temperatures; we also found that the mode of breaking changed from one involving constriction to one involving uniform elongation as the test temperature increased and the initial strain rate decreased. For stable and uniform deformation, the local deformation stress concurrent with work hardening should decrease and the constriction resistance (m value) should increase according to the local constriction deformation. However, the stability may vary depending on the constriction shape, even when the constriction is allowed to grow. To discuss the stability during deformation, parameters that indicate the changes in the shape of the constriction are required. Sato et al. [41] discussed such parameters and considered the deformation stability by introducing I in the following equation:(2)I(ε)=(γ-1)m.Here,γ denotes the work hardening index and m denotes the strain rate sensitivity. According to the analysis by Sato et al. [41], constriction growth can be evaluated as follows: depending on I: constriction does not grow when I>0, it grows slowly when -1<I<0, and it grows gradually from the beginning of deformation until it breaks; when -2<I, the constriction grows sharply.Therefore, we calculatedI(ε) by substituting for the work hardening index in (2), while setting ε to 0.1, 0.2, and 0.3 on the basis of the nominal stress-strain curve shown in Figure 3; further, we obtained the m value from Figure 7. The analytical results of the tensile test at 623 K are shown in Figure 11. I(ε) decreases as the deformation increases, that is, as the work hardening decreases relative to the strain increment. Here, I decreases to −2 or less for strain rates of 3×10-1 to 10−2 s−1, while it is close to −2 at low strain rates of 3×10-3 to 10−4 s−1. For a similar analysis, I was close to −2 at 573 K (3×10-4 s−1) and −2 or less in all other cases. The results of this study show that to achieve stable deformation, the work hardening and constriction resistance must be balanced to cope with the large elongation; the results also show that the stability can be evaluated using I(ε).The dependence of the initial strain rate on neck stability (I), for several values of I calculated using (2); (a) 523 K, (b) 573 K, and (c) 623 K.
(a)(b)(c)


### 4.2. Transition of Deformation Mechanism

Figure7 shows that the deformation mechanism for the test temperature of 573 K is represented by a gradual curve. The stress index under these conditions corresponded to the bending, and the test conditions (523 K and 3×10-3 s−1) seemed to correspond to the point of transition of the deformation mechanisms. The high-temperature deformation map for pure Mg reported by Ashby and Verrall [42] indicates that the area that corresponds to the strength and temperature considered in this study seems to be the section where the deformation mechanism of the AZ31 Mg alloy shifts from plasticity to power-law creep. Although pure Mg and Mg alloys differ, a transition of the deformation mechanism is thought to occur for the AZ31 Mg alloy as well. Here, the structural observations reported by Noda et al. [43] indicate that the AZ31 Mg alloy is a fine-grain Al-Mg alloy but it changes with the superplastic deformation mechanism at a test temperature of 473 K, owing to GBS and transgranular sliding. For initial grain sizes of 3 μm or less, a large elongation of over 200% can occur in the low-temperature range via transgranular sliding as the main deformation mechanism [34].On the basis of structural observation, we assumed that the deformed section is the cause of the transition of the deformation mechanism. On the basis of the structural observations shown in Figure10, as well as Figures 5–7 and 11, we assume that the deformation mechanism changes at 573 K and 3×10-3 s−1. To study the deformation structure under these conditions, we performed SEM observation of the deformation structure after 40% deformation (Figure 12). Since we observed the projections of grain boundaries, the formation of the fiber structure on the grain boundaries, as well as minute cavities among the fiber structures, we assumed that GBS with concurrent formation of minute cavities was the main deformation mechanism [38, 39]. Figure 12(b) shows the observed deformation structure; crease-like patterns (indicated by arrows) were observed within the grains and transgranular sliding also occurred. Substructures are formed inside the grains of the material when it is deformed at a high rate and a low temperature [44]. The experimental results presented so far suggest that GBS is the main mechanism under low strain rates that result in stable deformation. For the AZ31 Mg alloy used in this study (grain size: ~5 μm), the change in the deformation mechanism at 523 K and 3×10-3 s−1 is attributed to (1) the change in the stable deformation behavior, (2) the change in the deformation mechanism to one dominated by GBS, and (3) the influence of the stability of the plastic deformation concurrent with GBS on the transition.The slip morphology on the specimen surface after 40% tensile deformation at a strain rate of3×10-3 s−1 and a temperature of 573 K.
(a)(b)


## 4.1. Evaluation of the Stability of High-Temperature Deformation

On the basis of the experimental results, we found that the strength and breaking elongations of the AZ31 Mg alloy were dependent on the test temperature and strain rate at high temperatures; we also found that the mode of breaking changed from one involving constriction to one involving uniform elongation as the test temperature increased and the initial strain rate decreased. For stable and uniform deformation, the local deformation stress concurrent with work hardening should decrease and the constriction resistance (m value) should increase according to the local constriction deformation. However, the stability may vary depending on the constriction shape, even when the constriction is allowed to grow. To discuss the stability during deformation, parameters that indicate the changes in the shape of the constriction are required. Sato et al. [41] discussed such parameters and considered the deformation stability by introducing I in the following equation:(2)I(ε)=(γ-1)m.Here,γ denotes the work hardening index and m denotes the strain rate sensitivity. According to the analysis by Sato et al. [41], constriction growth can be evaluated as follows: depending on I: constriction does not grow when I>0, it grows slowly when -1<I<0, and it grows gradually from the beginning of deformation until it breaks; when -2<I, the constriction grows sharply.Therefore, we calculatedI(ε) by substituting for the work hardening index in (2), while setting ε to 0.1, 0.2, and 0.3 on the basis of the nominal stress-strain curve shown in Figure 3; further, we obtained the m value from Figure 7. The analytical results of the tensile test at 623 K are shown in Figure 11. I(ε) decreases as the deformation increases, that is, as the work hardening decreases relative to the strain increment. Here, I decreases to −2 or less for strain rates of 3×10-1 to 10−2 s−1, while it is close to −2 at low strain rates of 3×10-3 to 10−4 s−1. For a similar analysis, I was close to −2 at 573 K (3×10-4 s−1) and −2 or less in all other cases. The results of this study show that to achieve stable deformation, the work hardening and constriction resistance must be balanced to cope with the large elongation; the results also show that the stability can be evaluated using I(ε).The dependence of the initial strain rate on neck stability (I), for several values of I calculated using (2); (a) 523 K, (b) 573 K, and (c) 623 K.
(a)(b)(c)


## 4.2. Transition of Deformation Mechanism

Figure7 shows that the deformation mechanism for the test temperature of 573 K is represented by a gradual curve. The stress index under these conditions corresponded to the bending, and the test conditions (523 K and 3×10-3 s−1) seemed to correspond to the point of transition of the deformation mechanisms. The high-temperature deformation map for pure Mg reported by Ashby and Verrall [42] indicates that the area that corresponds to the strength and temperature considered in this study seems to be the section where the deformation mechanism of the AZ31 Mg alloy shifts from plasticity to power-law creep. Although pure Mg and Mg alloys differ, a transition of the deformation mechanism is thought to occur for the AZ31 Mg alloy as well. Here, the structural observations reported by Noda et al. [43] indicate that the AZ31 Mg alloy is a fine-grain Al-Mg alloy but it changes with the superplastic deformation mechanism at a test temperature of 473 K, owing to GBS and transgranular sliding. For initial grain sizes of 3 μm or less, a large elongation of over 200% can occur in the low-temperature range via transgranular sliding as the main deformation mechanism [34].On the basis of structural observation, we assumed that the deformed section is the cause of the transition of the deformation mechanism. On the basis of the structural observations shown in Figure10, as well as Figures 5–7 and 11, we assume that the deformation mechanism changes at 573 K and 3×10-3 s−1. To study the deformation structure under these conditions, we performed SEM observation of the deformation structure after 40% deformation (Figure 12). Since we observed the projections of grain boundaries, the formation of the fiber structure on the grain boundaries, as well as minute cavities among the fiber structures, we assumed that GBS with concurrent formation of minute cavities was the main deformation mechanism [38, 39]. Figure 12(b) shows the observed deformation structure; crease-like patterns (indicated by arrows) were observed within the grains and transgranular sliding also occurred. Substructures are formed inside the grains of the material when it is deformed at a high rate and a low temperature [44]. The experimental results presented so far suggest that GBS is the main mechanism under low strain rates that result in stable deformation. For the AZ31 Mg alloy used in this study (grain size: ~5 μm), the change in the deformation mechanism at 523 K and 3×10-3 s−1 is attributed to (1) the change in the stable deformation behavior, (2) the change in the deformation mechanism to one dominated by GBS, and (3) the influence of the stability of the plastic deformation concurrent with GBS on the transition.The slip morphology on the specimen surface after 40% tensile deformation at a strain rate of3×10-3 s−1 and a temperature of 573 K.
(a)(b)


## 5. Conclusion

We conducted high-temperature tensile tests and evaluated the high-temperature deformation behavior and deformation mechanism of the AZ31 Mg alloy, to obtain basic data for developing plastic working technology. We obtained the following results.(1)
For the AZ31 Mg alloy, the high-temperature behavior mainly depends on the strain rate and deformation temperature. A stationary deformation area was observed, and a large elongation was evident as the temperature increased and strain rate decreased.(2)
The strain rate affects the work hardening and constriction resistance during high-temperature deformation. The stability of high-temperature deformation was evaluated by using the stability parametersI(ε) obtained from the work hardening and constriction resistance; I was close to −2 for test conditions under which the large elongation occurred, and −2 or less under other test conditions. Therefore, I is an effective parameter for evaluating stability.(3)
The AZ31 Mg alloy used in this study had a grain size of approximately 5μm. It is assumed that the deformation mechanism changes beyond the test temperature of 523 K and the initial strain rate of 3×10-3 s−1 because of a change in the stable deformation behavior and transition in the deformation mechanism that is mainly dominated by GBS. It is also assumed that the transition is affected by the GBS concurrent with deformation.



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*Source: 165307-2011-07-07.xml*