Cumulative Effect of Strength Enhancer — Lanthanum and Ductility Enhancer — Cerium on Mechanical Response of Magnesium

In the present work, the cumulative effect of strength enhancer Lanthanum (La) and ductility enhancer Cerium (Ce) on the mechanical response of pure Mg was investigated. A ternary Mg-4La-0.4Ce alloy was developed using a disintegrated melt deposition method followed by hot extrusion. The mechanical characterization revealed that the ternary alloy exhibited superior hardness and tensile and compressive strengths when compared to Mg and Mg-0.4Ce binary alloy, thereby validating the role of La as a strength enhancer. Furthermore, the ductility of the chosen alloy was also enhanced as compared to Mg and other La rich Mg alloys, indicating that the ductility enhancement is primarily due to Ce. The microstructural characterization revealed that the cumulative addition of La and Ce refined the grain size and led to the formation of a large volume of secondary phases which affected the mechanical properties. The effect of fine grains and the presence of secondary phases on the deformation behavior of the alloy were conclusively ascertained with the aid of deformation and fracture studies.


Introduction
Being the lightest structural metal with a relatively high specific strength, magnesium (Mg) can be used to improve fuel and system efficiency through weight reduction.Mg, with a hexagonal close-packed structure, consists of three slip systems including basal, prismatic and pyramidal slip [1]; however, the critical resolved shear stress (CRSS) is too high for non-basal slip to occur at room temperature.Thus, with only two independent basal slip systems, its ductility and formability are poor.After secondary processing like extrusion, Mg develops and exhibits a strong basal texture which further limits its ductility.In order to weaken the basal texture and improve room temperature ductility, Mg is alloyed with Rare Earth (RE) elements to facilitate both non-basal slip and cross-slip of screw dislocations [2].This altered texture, RE texture component, has <1121> direction parallel to the extrusion direction [3].This alignment also favors non-basal slip in the extrusion direction, which is the reason for the improved ductility.Mg-Ce based alloys demonstrate some beneficial characteristics in terms of absolute strength, elongation to failure and a relatively better yield symmetry in exhibiting texture randomization.An investigation by Mishra et al. reported an increased ductility through the addition of 0.2 wt.% Ce to Mg while its yield strength was compromised [4].The results were attributed to an altered texture during dynamic recrystallization through alignment of the c-axis of the grains to a direction which favors non-basal slip, as well as an increase in the stacking fault energy which promotes cross slips [5].In another investigation, by adopting the Disintegrated Melt Deposition (DMD) technique followed by extrusion, Tekumalla et al. [6] obtained the as-extruded Mg-0.4Ce alloy with excellent overall mechanical properties including an improvement in tensile yield strength by 182%, as compared to pure Mg and a tensile ductility of 27%.
The strengthening mechanisms in Mg alloys with RE elements include grain-boundary strengthening, solid solution strengthening and precipitation strengthening, depending on the type and amount of RE element addition.For the case of La, the solubility in Mg is very limited, and hence, the formation of intermetallics is inevitable [7].Depending on the concentration of solute, the intermetallics are found to exist as lamellar structured eutectic mixture of Mg 12 La and α-Mg or as other secondary phases.There are different types of phases that may form in Mg-La alloys, such as Mg 12 La, Mg 17 La 2 , or Mg 2 La phases [7].It remains unclear which exact phase will form under different solidification conditions.The formation of Mg 12 La as opposed to Mg 17 La 2 is subject to a debate [8,9].
In view of the respective ability of Ce and La to enhance ductility and strength, this research work was designed to harness their respective abilities by alloying them together with Mg as the principal element.The analysis of microstructure and mechanical properties was undertaken to validate their cumulative ability to develop a superior ternary alloy.

Materials and Methods
In this study, Mg turnings of >99.9% purity were used as matrix material.They were supplied by ACROS Organics, New Jersey, USA.The Rare Earths were added in the form of master alloys (Mg-30%RE) with >99% purity obtained from Sunrelier Metal Co. Limited, Pudong, Shanghai, China.Mg-4La-0.4Cealloy was synthesized using the Disintegrated Melt Deposition technique [6].The ingot obtained from casting was machined and soaked at 400 • C for 1 hour in a constant temperature furnace before extrusion.Hot extrusion was performed using a 150-ton hydraulic press at 350 • C die temperature with an extrusion ratio of 20.25:1.Rods of 8 mm diameter were produced.Specimen were taken from the extruded rod for various characterization studies.
Micro-hardness tests were conducted on flat and metallographically polished specimen in accordance with ASTM (American Society for Testing and Materials) standard E384-16 with an indenting load of 25 gramforce (gf) for a dwell time of 15 s and were recorded in Vickers Hardness (HV).Twenty indentations were made for each sample.The tensile tests were carried out in accordance with ASTM test standard E8/E8 M-16a.Extruded rods were machined to dog bone shape with 25 mm gauge length and 5 mm gauge diameter.Material Test System (MTS 810) (Eden Prairie, MN, USA), with a clip-on type extensometer and a strain rate of 1.67 × 10 −4 s −1 , was used to conduct tests.The compressive tests were carried out along the extrusion direction, in accordance with ASTM test method E9-09 on the MTS 810 testing machine at ambient temperature, using a strain rate of 1.67 × 10 −4 s −1 .A minimum of three samples were tested to ensure consistent values during tensile and compressive testing.To investigate the microscopic features and fracture mechanisms of the samples, JEOL JSM-6010 PLUS/LV Scanning Electron Microscope with EDS (Jeol USA Inc., Peabody, MA, USA) was used.X-ray diffraction was performed to identify phases by matching the Bragg angles with the standard values of Mg, Ce and La related possible phases.The polished specimen were etched using the etchant: 0.7 mL H 3 PO 4 , 4 g picric acid and 100 mL ethanol (45%).Leica DM2500 M metallographic optical microscope (Leica Microsystems (SEA) Pte Ltd., Singapore, Singapore) was used to analyse the grain size of samples.

Microstructural Characterization
To understand the phase distribution as well as the structure, X-ray diffraction (XRD) studies were done.XRD results confirm the presence of peaks that correspond to the secondary phase Mg 17 La 2 in Mg-4La-0.4Ce(see Figure 1).Optical microscopy investigations revealed nearly equiaxed grain morphology of Mg, Mg-0.4Ce and Mg-4La-0.4Ce(see Figure 2a,b).The grain size of Mg-4La-0.4Ce(1.3 ± 0.2 µm) was significantly lower compared to both Mg (25 ± 4 µm) and Mg-0.4Ce (4 ± 1 µm) [10].This demonstrates the capability of La to refine grain size through the formation of secondary phases.The results of SEM imaging further confirmed the presence of secondary phases in the alloy (see Figure 2c,d).The secondary phases (Mg 17 La 2 ) were segregated and distributed discontinuously across grains (see Figure 2c,d).Mg 17 La 2 phase had a size of about 1 ± 0.5 µm unlike Mg 17 Ce 2 phase in Mg-0.4Ce alloy whose size was much lower than 1 µm [6].Further, it is also interesting to note that the Mg 17 La 2 secondary phases with a much higher volume fraction of ~0.46 as compared to Mg 17 Ce 2 phase in Mg-0.4Ce alloy (vol.fraction of ~0.04), were distributed throughout the matrix.It has been established before that secondary phases serve as pinning points during recrystallization and hinder grain growth resulting in the effective reduction of grain size [4].Although the formation of other phases is predicted based on the phase diagram, other secondary phases were not detected, presumably due to their minimal presence arising from lower alloying concentration of La and Ce in the ternary alloy developed in this study.
Metals 2017, 7, 241 3 of 10 secondary phases.The results of SEM imaging further confirmed the presence of secondary phases in the alloy (see Figure 2c,d).The secondary phases (Mg17La2) were segregated and distributed discontinuously across grains (see Figure 2c,d).Mg17La2 phase had a size of about 1 ± 0.5 μm unlike Mg17Ce2 phase in Mg-0.4Ce alloy whose size was much lower than 1 μm [6].Further, it is also interesting to note that the Mg17La2 secondary phases with a much higher volume fraction of ~0.46 as compared to Mg17Ce2 phase in Mg-0.4Ce alloy (vol.fraction of ~0.04), were distributed throughout the matrix.It has been established before that secondary phases serve as pinning points during recrystallization and hinder grain growth resulting in the effective reduction of grain size [4].
Although the formation of other phases is predicted based on the phase diagram, other secondary phases were not detected, presumably due to their minimal presence arising from lower alloying concentration of La and Ce in the ternary alloy developed in this study.Metals 2017, 7, 241 3 of 10 secondary phases.The results of SEM imaging further confirmed the presence of secondary phases in the alloy (see Figure 2c,d).The secondary phases (Mg17La2) were segregated and distributed discontinuously across grains (see Figure 2c,d).Mg17La2 phase had a size of about 1 ± 0.5 μm unlike Mg17Ce2 phase in Mg-0.4Ce alloy whose size was much lower than 1 μm [6].Further, it is also interesting to note that the Mg17La2 secondary phases with a much higher volume fraction of ~0.46 as compared to Mg17Ce2 phase in Mg-0.4Ce alloy (vol.fraction of ~0.04), were distributed throughout the matrix.It has been established before that secondary phases serve as pinning points during recrystallization and hinder grain growth resulting in the effective reduction of grain size [4].
Although the formation of other phases is predicted based on the phase diagram, other secondary phases were not detected, presumably due to their minimal presence arising from lower alloying concentration of La and Ce in the ternary alloy developed in this study.

Mechanical Characterization
Microhardness measurements on Mg-4La-0.4Ceshow that it has a microhardness of 107 HV.It is harder than pure Mg by 62% and Mg-0.4Ce by 24%.This improvement in the microhardness is attributed to the refined grain size and presence of large fraction of hard secondary phases.The microhardness, tensile, and compressive test results are summarized in Table 1.Under tensile loading, Mg-4La-0.4Ceexhibits 241% increase in tensile yield strength and 102% increase in ultimate tensile strength compared to pure Mg.Under compressive loading, its yield strength is 195% higher and its ultimate strength is 42% higher compared to pure Mg.Irrespective of the significant increase in tensile strengths, tensile ductility of the ternary alloy remained at 19%, which is about an increase of ~36% over that of pure Mg.Under compressive loading, ductility reduced by 30% when compared to pure Mg and was ~16% which is quite similar to its tensile ductility.Compared with the asextruded commercial Mg-RE alloy WE43 [11], Mg-4La-0.4Cewith less weight percentage of expensive RE demonstrates to be more cost effective and displayed 13% increase in tensile yield strength as well as 76% increase in ductility (see Figure 3).The function of Ce as a ductility enhancer is further justified by the comparison of ductility between Mg-4La-0.4Ceand other La rich Mg alloys without Ce addition.Mg-4La-0.4Cedemonstrates 1800%, 171% and 138% increase in ductility in comparison with Mg-3.44La,Mg-4Al-4La and Mg-4.2La-0.5Zralloys respectively [7, 12,13].

Mechanical Characterization
Microhardness measurements on Mg-4La-0.4Ceshow that it has a microhardness of 107 HV.It is harder than pure Mg by 62% and Mg-0.4Ce by 24%.This improvement in the microhardness is attributed to the refined grain size and presence of large fraction of hard secondary phases.The microhardness, tensile, and compressive test results are summarized in Table 1.Under tensile loading, Mg-4La-0.4Ceexhibits 241% increase in tensile yield strength and 102% increase in ultimate tensile strength compared to pure Mg.Under compressive loading, its yield strength is 195% higher and its ultimate strength is 42% higher compared to pure Mg.Irrespective of the significant increase in tensile strengths, tensile ductility of the ternary alloy remained at 19%, which is about an increase of ~36% over that of pure Mg.Under compressive loading, ductility reduced by 30% when compared to pure Mg and was ~16% which is quite similar to its tensile ductility.Compared with the as-extruded commercial Mg-RE alloy WE43 [11], Mg-4La-0.4Cewith less weight percentage of expensive RE demonstrates to be more cost effective and displayed 13% increase in tensile yield strength as well as 76% increase in ductility (see Figure 3).The function of Ce as a ductility enhancer is further justified by the comparison of ductility between Mg-4La-0.4Ceand other La rich Mg alloys without Ce addition.Mg-4La-0.4Cedemonstrates 1800%, 171% and 138% increase in ductility in comparison with Mg-3.44La,Mg-4Al-4La and Mg-4.2La-0.5Zralloys respectively [7, 12,13].

Mechanical Characterization
Microhardness measurements on Mg-4La-0.4Ceshow that it has a microhardness of 107 HV.It is harder than pure Mg by 62% and Mg-0.4Ce by 24%.This improvement in the microhardness is attributed to the refined grain size and presence of large fraction of hard secondary phases.The microhardness, tensile, and compressive test results are summarized in Table 1.Under tensile loading, Mg-4La-0.4Ceexhibits 241% increase in tensile yield strength and 102% increase in ultimate tensile strength compared to pure Mg.Under compressive loading, its yield strength is 195% higher and its ultimate strength is 42% higher compared to pure Mg.Irrespective of the significant increase in tensile strengths, tensile ductility of the ternary alloy remained at 19%, which is about an increase of ~36% over that of pure Mg.Under compressive loading, ductility reduced by 30% when compared to pure Mg and was ~16% which is quite similar to its tensile ductility.Compared with the asextruded commercial Mg-RE alloy WE43 [11], Mg-4La-0.4Cewith less weight percentage of expensive RE demonstrates to be more cost effective and displayed 13% increase in tensile yield strength as well as 76% increase in ductility (see Figure 3).The function of Ce as a ductility enhancer is further justified by the comparison of ductility between Mg-4La-0.4Ceand other La rich Mg alloys without Ce addition.Mg-4La-0.4Cedemonstrates 1800%, 171% and 138% increase in ductility in comparison with Mg-3.44La,Mg-4Al-4La and Mg-4.2La-0.5Zralloys respectively [7, 12,13].± Indicate the increase/decrease with respect to the same property of pure Mg.

Tensile Deformation Behavior
The Mg-4La-0.4Cealloy shows an increased tensile and compressive strength compared to both the Mg and Mg-0.4Ce alloys.There are two possible strengthening mechanisms: (1) Hall-Petch strengthening arising from enhanced grain boundary area that resists the easy movement of dislocations; and (2) precipitation strengthening due to the presence of secondary phases which act as obstacles to dislocation motion.It may be noted that, due to the limited solubility of La in Mg, solid solution strengthening is not effective in the alloy at room temperature.
The Hall-Petch relation [14] defines the relationship between grain size and the yield stress as follows: σ(d) = σ 0 + kd -1/2 where σ is the 0.2% yield stress, d is the grain size, k is the strengthening coefficient and σ 0 is material constant.The grain size of Mg-4La-0.4Ce is around 1.3 µm which is much smaller (−68%) than that of Mg-0.4Ce (4 µm).This substantiates the previously reported result by Stanford et al. that La is one of the most effective grain refiners per atomic percent, as compared to other alloying elements like Al, Sn, Ca and Gd [3].As a result, the tensile strength of Mg-4La-0.4Ce is much higher than that of the Mg and Mg-0.4Ce alloys.In addition, there is a considerably higher density of secondary phases in Mg-4La-0.4Cecompared to Mg-0.4Ce.The strength of Mg alloys with La addition increases due to the additional presence of secondary phases [10].The presence of secondary phases impedes the motion of moving dislocations leading to an increase in strength as per classical theory of precipitation strengthening [15].Therefore, the primary deformation mechanisms under tension (slip) are suppressed due to the presence of large volume of secondary phases [16].This leads to a greater effect of precipitation hardening and thus a much higher tensile yield strength is exhibited by Mg-4La-0.4Ce.Further, due to its finer grain size, slip flexibility is promoted, which implies a more homogeneous and uniform plasticity across the entire polycrystal.Thus, the enhanced ductility in comparison to pure Mg is achieved.However, this concept cannot be used in comparison to Mg-0.4Ce alloy as the precipitate fraction in Mg-4La-0.4Ce is much higher, obstructing a higher ductility as compared to Mg-0.4Ce alloy.
Fracture studies were performed to investigate the mode of failure.Figure 4 shows the fractographs of samples after tensile failure.A pure Mg fractograph (Figure 4a) shows the presence of cleavage steps indicative of brittle failure.The fractograph of Mg-0.4Ce alloy (Figure 4b) displays the presence of dimples indicative of ductile failure (tensile elongation: 27%).The fracture morphology of Mg-4La-0.4Ce(Figure 4c) reveals minimal presence of cleavage steps and significant evidence of plastic deformation (tensile ductility = 19%) [17].Comparing the fractographs of Mg, Mg-0.4Ce alloy and ternary Mg-4La-0.4Cealloy, it can be ascertained that Mg-4La-0.4Cefeatured a larger fraction of dimples as compared to Mg and a larger fraction of cleavage steps as compared to the Mg-0.4Cealloy, which is substantiated by the results of its tensile ductility that ranges between the two monolithic materials.

Compressive Deformation Behavior
The compressive yield strength of Mg-4La-0.4Cewas higher than that of pure Mg and the Mg-0.4Cealloy (Table 1).Under compression along the extrusion direction of Mg alloys, deformation occurs by twin followed by slip [18].To investigate the role of twinning under compression, the compressive tests were stopped just at the yield point, after the yield point and after attaining ultimate strength (see Figure 5) and the samples were studied to understand the deformation.The following were observed: there were no twins found in the sample just at the yield point (See Figure 6a).However, twins have been found after allowing the material to strain to a considerable extent after the yield point (See Figure 6b) as well as at ultimate compressive strength (See Figure 6c).This shows the dominance of twinning at the initial stage of plastic deformation under compression which corresponds to the plateau in the stress-strain curve (See Figure 5) [19].Further deformation along caxis after the initial stage is aided by shear mode of deformation.Quantification of the twin fraction was done as given in Figure 5 and it is seen that the twin fraction after yield point in Mg-4La-0.4Cealloy (~0.08) is lower than that of Mg-0.4Ce alloy (~0.24).Further, with increase in the stress, the twinning was propagated in both the alloys; however, the twin fraction was still lower for the Mg-4La-0.4Cealloy (~0.29) as compared to the Mg-0.4Cealloy (~0.54) at UCS.This is due to the suppression of deformation twinning in alloys with smaller grains as compared to alloys with larger grain size [16].Furthermore, the presence of secondary phases would suppress both twin and slip [20].Since Mg-4La-0.4Cehas a combination of both: smaller grain size and larger amount of secondary phases, the effect of suppression of twinning is greater compared to Mg-0.4Ce alloy (the deformation studies of the Mg-0.4Cealloy are given in reference [6]).However, this effect comes at the expense of ductility.As a result, the elongation to failure in Mg-4La-0.4Ce(16%) is less than that of Mg-0.4Ce (25%).In addition to the role of grain size and precipitation in the activation energy of twinning, texture effect also influences the deformation twinning.Alloys with weakened basal texture, especially the RE-texture component, would have grain alignment favoring both slip and

Compressive Deformation Behavior
The compressive yield strength of Mg-4La-0.4Cewas higher than that of pure Mg and the Mg-0.4Cealloy (Table 1).Under compression along the extrusion direction of Mg alloys, deformation occurs by twin followed by slip [18].To investigate the role of twinning under compression, the compressive tests were stopped just at the yield point, after the yield point and after attaining ultimate strength (see Figure 5) and the samples were studied to understand the deformation.The following were observed: there were no twins found in the sample just at the yield point (See Figure 6a).However, twins have been found after allowing the material to strain to a considerable extent after the yield point (See Figure 6b) as well as at ultimate compressive strength (See Figure 6c).This shows the dominance of twinning at the initial stage of plastic deformation under compression which corresponds to the plateau in the stress-strain curve (See Figure 5) [19].Further deformation along c-axis after the initial stage is aided by shear mode of deformation.Quantification of the twin fraction was done as given in Figure 5 and it is seen that the twin fraction after yield point in Mg-4La-0.4Cealloy (~0.08) is lower than that of Mg-0.4Ce alloy (~0.24).Further, with increase in the stress, the twinning was propagated in both the alloys; however, the twin fraction was still lower for the Mg-4La-0.4Cealloy (~0.29) as compared to the Mg-0.4Cealloy (~0.54) at UCS.This is due to the suppression of deformation twinning in alloys with smaller grains as compared to alloys with larger grain size [16].Furthermore, the presence of secondary phases would suppress both twin and slip [20].Since Mg-4La-0.4Cehas a combination of both: smaller grain size and larger amount of secondary phases, the effect of suppression of twinning is greater compared to Mg-0.4Ce alloy (the deformation studies of the Mg-0.4Cealloy are given in reference [6]).However, this effect comes at the expense of ductility.As a result, the elongation to failure in Mg-4La-0.4Ce(16%) is less than that of Mg-0.4Ce (25%).In addition to the role of grain size and precipitation in the activation energy of twinning, texture effect also influences the deformation twinning.Alloys with weakened basal texture, especially the RE-texture component, would have grain alignment favoring both slip and deformation twinning [3].In order to understand the texture effect, XRD results of extruded samples along longitudinal section were analyzed (see Figure 1b), as a study on the cross section of the samples leads to a lower intensity of the basal planes if the material exhibits a strong basal texture.The diffraction angle, 2 theta, at 32 • , 34 • , and 36 • corresponds to prismatic {100}, basal {002} and pyramidal {101} planes of hexagonally close packed (HCP) magnesium crystal respectively [21].The ratio of intensity (I/I max ) at 32 • , 34 • , and 36 • to the maximum intensity is listed in Table 2.The highest ratio was found at 34 • for all the three alloys, which also indicates that Mg-4La-0.4Cestill has a basal dominant texture, typical of extruded alloys.This I/I max of Mg-4La-0.4Ce is higher than that of pure Mg, indicating a comparatively stronger basal texture.This texture effect further enhances its strength and gives rise to a lower ductility.
To confirm the mode of failure under compression, fracture studies were performed.Under compressive loading, fracture surfaces were at approximately 45 degrees, with respect to the compression testing direction.Shear bands were observed (see Figure 6d), which is an indication of shear mode of failure.
Metals 2017, 7, 241 7 of 10 deformation twinning [3].In order to understand the texture effect, XRD results of extruded samples along longitudinal section were analyzed (see Figure 1b), as a study on the cross section of the samples leads to a lower intensity of the basal planes if the material exhibits a strong basal texture.The diffraction angle, 2 theta, at 32°, 34°, and 36° corresponds to prismatic {100}, basal {002} and pyramidal {101} planes of hexagonally close packed (HCP) magnesium crystal respectively [21].The ratio of intensity (I/Imax) at 32°, 34°, and 36° to the maximum intensity is listed in Table 2.The highest ratio was found at 34° for all the three alloys, which also indicates that Mg-4La-0.4Cestill has a basal dominant texture, typical of extruded alloys.This I/Imax of Mg-4La-0.4Ce is higher than that of pure Mg, indicating a comparatively stronger basal texture.This texture effect further enhances its strength and gives rise to a lower ductility.
To confirm the mode of failure under compression, fracture studies were performed.Under compressive loading, fracture surfaces were at approximately 45 degrees, with respect to the compression testing direction.Shear bands were observed (see Figure 6d), which is an indication of shear mode of failure.Metals 2017, 7, 241 7 of 10 deformation twinning [3].In order to understand the texture effect, XRD results of extruded samples along longitudinal section were analyzed (see Figure 1b), as a study on the cross section of the samples leads to a lower intensity of the basal planes if the material exhibits a strong basal texture.The diffraction angle, 2 theta, at 32°, 34°, and 36° corresponds to prismatic {100}, basal {002} and pyramidal {101} planes of hexagonally close packed (HCP) magnesium crystal respectively [21].The ratio of intensity (I/Imax) at 32°, 34°, and 36° to the maximum intensity is listed in Table 2.The highest ratio was found at 34° for all the three alloys, which also indicates that Mg-4La-0.4Cestill has a basal dominant texture, typical of extruded alloys.This I/Imax of Mg-4La-0.4Ce is higher than that of pure Mg, indicating a comparatively stronger basal texture.This texture effect further enhances its strength and gives rise to a lower ductility.
To confirm the mode of failure under compression, fracture studies were performed.Under compressive loading, fracture surfaces were at approximately 45 degrees, with respect to the compression testing direction.Shear bands were observed (see Figure 6d), which is an indication of shear mode of failure.

Tension-Compression Yield Asymmetry
Mg alloys usually demonstrate very different plastic flow characteristics under tension and compression due to the strong basal texture and high c/a ratio of Mg [20].The poor compressive yield strength associated with yield asymmetry limits the applications of Mg alloys [22].The yield asymmetry of Mg alloys can be characterized by calculating the ratio of compressive yield strength (CYS) to tensile yield strength (TYS).Usually this ratio is well below 1 because typical Mg alloys have compressive yield strengths much lower than their tensile yield strengths [20].The ratio of CYS/TYS for Mg, Mg-0.4Ce and Mg-4La-0.4Ce is shown in the Table 3. Mg-4La-0.4Ceshowed a ratio of 0.78 in comparison with Mg-0.4Ce whose ratio is 0.7.Pure Mg, with the largest grain size, has poor CYS and TYS, hence its asymmetry is not very pronounced.Addition of Ce refines the grain size, therefore, enhancing the TYS and CYS greatly.However, due to the pronounced difference in the deformation mechanisms, there exists a higher difference between TYS and CYS.This is due to the difference between the activation energy of twinning and slip.Results revealed that the presence of La assisted in the improvement of yield symmetry of Mg-0.4Ce alloy.Despite finer grain size in the ternary alloy, the yield symmetry improved, as compared to the Mg-0.4Cealloy.This is due to the stark difference in the strength of texture.From Table 2, the I/Imax ratio at 34° is only 0.0333 for Mg-4La-0.4Cewhile it is 0.1 for Mg-0.4Ce(stronger basal texture).This is an indication of the higher energy of activation for basal slip in Mg-0.4Ce alloy compared to Mg-4La-0.4Cealloy.Further, the beneficial effect of the presence of larger volume of secondary phases in Mg-4La-0.4Cewhich assisted in increasing the compressive yield strength, are constitutively responsible for reducing tension-compression yield asymmetry.

Tension-Compression Yield Asymmetry
Mg alloys usually demonstrate very different plastic flow characteristics under tension and compression due to the strong basal texture and high c/a ratio of Mg [20].The poor compressive yield strength associated with yield asymmetry limits the applications of Mg alloys [22].The yield asymmetry of Mg alloys can be characterized by calculating the ratio of compressive yield strength (CYS) to tensile yield strength (TYS).Usually this ratio is well below 1 because typical Mg alloys have compressive yield strengths much lower than their tensile yield strengths [20].The ratio of CYS/TYS for Mg, Mg-0.4Ce and Mg-4La-0.4Ce is shown in the Table 3. Mg-4La-0.4Ceshowed a ratio of 0.78 in comparison with Mg-0.4Ce whose ratio is 0.7.Pure Mg, with the largest grain size, has poor CYS and TYS, hence its asymmetry is not very pronounced.Addition of Ce refines the grain size, therefore, enhancing the TYS and CYS greatly.However, due to the pronounced difference in the deformation mechanisms, there exists a higher difference between TYS and CYS.This is due to the difference between the activation energy of twinning and slip.Results revealed that the presence of La assisted in the improvement of yield symmetry of Mg-0.4Ce alloy.Despite finer grain size in the ternary alloy, the yield symmetry improved, as compared to the Mg-0.4Cealloy.This is due to the stark difference in the strength of texture.From Table 2, the I/I max ratio at 34 • is only 0.0333 for Mg-4La-0.4Cewhile it is 0.1 for Mg-0.4Ce(stronger basal texture).This is an indication of the higher energy of activation for basal slip in Mg-0.4Ce alloy compared to Mg-4La-0.4Cealloy.Further, the beneficial effect of the presence of larger volume of secondary phases in Mg-4La-0.4Cewhich assisted in increasing the compressive yield strength, are constitutively responsible for reducing tension-compression yield asymmetry.

Conclusions
Ternary Mg-4La-0.4Cealloy was successfully synthesized using disintegrated melt deposition technique.The synergistic effect of ductility enhancer Ce and strength enhancer La on Mg was investigated.The following conclusions are drawn from this study: 1.
Presence of La helped in refinement of the grain size (1.3 µm) when compared to Mg (25 µm) and Mg-0.4Ce alloy (4 µm).

5.
The improvement in micro-hardness by ~62% and ~21% over that of Mg and Mg-0.4Ce alloy is attributed to reduction in grain size and significant presence of secondary phases in Mg-4La-0.4Ce.6.
Suppression of twining, to an extent, due to presence of refined grains, large fraction of secondary phases and basal dominant texture are the main reason for improved compressive strength of Mg-4La-0.4Cealloy.

Figure 1 .
Figure 1.XRD results of extruded samples along (a) cross section and (b) longitudinal direction.

Figure 1 .
Figure 1.XRD results of extruded samples along (a) cross section and (b) longitudinal direction.

Figure 1 .
Figure 1.XRD results of extruded samples along (a) cross section and (b) longitudinal direction.

Figure 3 .
Figure 3. Tensile yield strength and ductility of extruded Mg-4La-0.4Cealloy in comparison to pure Mg, Mg-0.4Ce,WE43 and other La rich alloys.

Figure 2 .
Figure 2. Representative micrographs showing grain boundaries and grain morphology of (a) Mg-0.4Ce and (b) Mg-4La-0.4Cealloys; Representative micrographs showing the phases and distribution of phases in the (c) Mg-0.4Ce and (d) Mg-4La-0.4Cealloys.

Figure 2 .
Figure 2. Representative micrographs showing grain boundaries and grain morphology of (a) Mg-0.4Ce and (b) Mg-4La-0.4Cealloys; Representative micrographs showing the phases and distribution of phases in the (c) Mg-0.4Ce and (d) Mg-4La-0.4Cealloys.

Figure 3 .
Figure 3. Tensile yield strength and ductility of extruded Mg-4La-0.4Cealloy in comparison to pure Mg, Mg-0.4Ce,WE43 and other La rich alloys.

Figure 3 .
Figure 3. Tensile yield strength and ductility of extruded Mg-4La-0.4Cealloy in comparison to pure Mg, Mg-0.4Ce,WE43 and other La rich alloys.

Figure 5 .TwinFigure 5 .
Figure 5. Results from compressive test: stress-strain curve of Mg-4La-0.4Ceshowing the points where tests were stopped at: (a) yield point; (b) after yield point and (c) at ultimate compressive yield strength.

Figure 5 .Figure 6 .
Figure 5. Results from compressive test: stress-strain curve of Mg-4La-0.4Ceshowing the points where tests were stopped at: (a) yield point; (b) after yield point and (c) at ultimate compressive yield strength.