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        Effects of Mn addition on the microstructure and mechanical properties of cast Mg-9Al-2Sn(wt.%)alloy

        2014-04-21 02:16:41
        Journal of Magnesium and Alloys 2014年1期

        National Engineering Research Center of Light Alloy Net Forming and State Key Laboratory of Metal Matrix Composite,Shanghai Jiao Tong University, Shanghai 200240,PR China

        Effects of Mn addition on the microstructure and mechanical properties of cast Mg-9Al-2Sn(wt.%)alloy

        Tianyu Zhu,Penghuai Fu*,Liming Peng,Xiaoyu Hu,Shouru Zhu,Wenjiang Ding

        National Engineering Research Center of Light Alloy Net Forming and State Key Laboratory of Metal Matrix Composite,Shanghai Jiao Tong University, Shanghai 200240,PR China

        The microstructure and mechanical properties of cast Mg-9Al-2Sn-xMn(x=0,0.1,0.3 wt.%)alloys in as-cast,solution treated and aged conditions are investigated.The results reveal that Mn addition into Mg-9Al-2Sn alloy leads to the formation of Al8(Mn,Fe)5phases,the grain ref i nement and the increase of discontinuous Mg17Al12precipitates along the grain boundaries.0.1 wt.%Mn addition has an obvious effect on accelerating the aging behavior of Mg-9Al-2Sn alloy at the early aging period up to 8 h,while 0.3 wt.%Mn addition alloy has an comparable aging behavior with the Mn-free alloy.Mn addition has less inf l uence on the fracture behavior of Mg-9Al-2Sn alloy,while the fracture pattern is mainly determined by the thermal conditions.Mg-9Al-2Sn-0.1Mn alloy has the best combination of strength and elongation when aged at 200°C for 8 h and the yield strength,ultimate tensile strength and elongation are 154 MPa,292MPa and 5%,respectively.

        Mg-9Al-2Sn;Mn;Grain ref i nement;Precipitate;Cleavage plane

        1.Introduction

        Magnesium alloys are considered as promising materials in various f i elds such as automobiles,electronic production and aerospace due to their extraordinary characteristics and lightweight to reduce the petrol consumption[1,2].Mg-Al based alloys are the most widely applied commercial magnesium alloys,in which Al addition can improve the castability and mechanical properties at room temperature.However,the discontinuous precipitates-Mg17Al12inter-metallic along the boundary are reasonable to decrease the creep resistance at elevated temperature(120-150°C),which limits the application of Mg-Al based alloys.Thus,researches tried to improve the creep resistance by adding some other elements to form some sorts of thermal stable precipitates or decrease the discontinuous Mg17Al12phases along the grain boundaries.For instance,some rare earth(RE)elements,such as Ce,Nd,Yand Pr,can improve the creep resistance of Mg-Al based alloys by forming Al3RE and Al11RE3phases[3,4].However,the application of the Mg-Al-RE alloys is limited due to the high cost of rare earth and some policies.Therefore,Mg-Al based alloy should be modif i ed by inexpensive elements based on the consideration of their further application,such as Mg-Al-Ca alloy[5],Mg-Al-Sn-(Ca,Sr)alloy[6,7].Recently,Mg-Sn system was well studied as the age-hardening alloy system due to the precipitation of Mg2Sn phases(fcc structure),which is stable at high temperature(melting point is about 1043 K (770°C))[8,9].Our previous investigation[7]indicated that, compared with commercial cast AZ91 alloy,some of castMg-Al-Sn alloys have better tensile properties,especially Mg-9Al-2Sn(AT92)(wt.%)alloys.Mn addition can sharply enhance the corrosion resistance of AT92 alloy,which was proved to be useful in commercial alloys,such as AZ91D and AZ31alloys[10,11].However,theinf l uencesofMnadditionon the mechanical properties of AT92 alloy are still unclear.It was reported that Mn addition can ref i ne thegrains in Mg-Al based alloys in the form of Al8Mn5/Al8(Mn,Fe)5phases[12,13]. While some researchers[14]stated that Al8Mn5compounds were not suff i cient nucleate sites because of the atomic row matching cross the interface between the matrix and the compounds.In addition,Y.Tamura et al.[15]found that the continuous precipitates preferentially occurred in the regions rich in Mn element during aging treatment.Based on the above review,Mn addition could modify the microstructure of Mg-Al based alloys.However,the inf l uences of Mn addition on mechanical properties were not systematically studied yet. Therefore,in the present study,the inf l uences of Mn addition on the microstructure and mechanical properties of cast Mg-9Al-2Sn (wt.%)alloy were studied atambient temperature.

        2.Experimental procedure

        2.1.Materials and casting

        Three kinds of Mg-9Al-2Sn-xMn(x=0,0.1,0.3 wt.%, hereafter all compositions are in wt.%except otherwise stated) alloys were prepared from high purity magnesium,aluminum, tin ingots and Al-10Mn master alloy in a mild steel crucible with an electrical resistance furnace under the protection of a mixed gas of SF6,CO2and dry air.They were heated to 740°C ± 10°C and gravity cast into a permanent mold after being held isothermally for 30 min.The mold was preheated at 400°C and those ingots and master alloys were preheated at 200°C.The actual chemical analysis of investigated alloys analyzed by spark spectrum was given with the average value in Table 1.After being cast,the specimens were solution treated at 420°C for 16 h(T4)followed by water quenching at 25°C and then isothermal aging treated at 200°C from 0.5 h to 256 h(T6),respectively.Then specimens were cut from the ingots for tensile testing and microstructure observation at room temperature.

        2.2.Microstructure analyzing and mechanical testing

        Polished specimens for microstructure analysis were etched in 4 vol.%natal.The microstructure was examined with an optical microscopy(OM)and JEOL JSM-6460 scanning electron microscope(SEM)with an attached energy dispersive spectroscope(EDS).Vickers hardness was measured on a Semi-Vickers Hardness Tester using 5 kg load applied and at least 15 indentations were tested for each specimen.Flat tensile sampleswithdimensionsof3.5mminwidth,2mminthickand 10 mm in length were cut from the plate castings and tested on the mechanical properties at room temperature on a Zwick/ Roell 20 kN material test machine at a crosshead speed of1 mm/min.Three tensile samples were tested for each thermal condition.Fracture surfaces of the tensile test samples were investigated by SEM and the microstructure near the fracture surface was observed by OM.The area fraction of both the secondary phases and the discontinuous precipitates were measured from the optical micrographs after isothermal aging treatment and the average grain size was also measured from the optical micrographs based on at least three images using the linear intercept method.

        Table 1Chemical composition of cast Mg-9Al-2Sn-xMn alloys,unit(wt.%).

        3.Results

        3.1.Microstructure

        Fig.1 presents the as-cast and solution-treated microstructure of cast Mg-9Al-2Sn-xMn(wt.%)(x=0,0.1,0.3) alloys.All three as-cast alloys show the dendrites of α-Mg matrix surrounded by divorced eutectic compounds,as shown in Fig.1a,c and e.Our previous study[7]conf i rmed that Mg-9Al-2Sn(AT92)alloy consists of α-Mg,Mg17Al12and Mg2Sn phases in the as-cast microstructure.Therefore,in Fig.1a,the bright compounds are Mg17Al12phases,while the black phases are Mg2Sn phases.Besides,some eutectics of the mixture of α-Mg and discontinuous Mg17Al12phases can also be observed(indicated in Fig.1).When Mn element is added into AT92 alloy,besides the similar phases as AT92 alloy (Fig.1a),some Mn-bearing particles,also in black color,can be investigated in AT92-0.1Mn(Fig.1c)and AT92-0.3Mn (Fig.1e)alloys.After solution treatment,the eutectics, Mg17Al12and Mg2Sn phases are almost all dissolved into the matrix(Fig.1b,d and f)and a homogenized solid solution is formed.There are also some black particles at grain interiors in AT92 alloy(Fig.1b),which should be the C-bearing particles related to the native grain ref i nement according the previous study[16].Some residual Mg2Sn phases can also be observed near the grain boundaries,which can be clearly observed on the fracture surface later.In AT92-0.1Mn and AT92-0.3Mn alloys,besides the residual Mg2Sn phases,Mnbearing particles can be found at the grain interiors.The Mnbearing particles in AT92-0.3Mn alloy are larger(in the range of 4.69-7.81 μm in size)than those in AT92-0.1Mn alloy (~3.13 μm).

        The average grain size measured by the linear intercept method in OM images are listed in Table 2.The addition of 0.1Mn and 0.3Mn can obviously ref i ne the grain size from 154 μm of AT92 alloy to 114 μm of AT92-0.1Mn alloy and 110 μm of AT92-0.3Mn alloy in solution treated condition. Meanwhile,this ref i nement effects are also observed in different aging conditions(Table 2)when aging time varies from 0.5 h up to 4 h.However,there is little difference of thegrain ref i nement effect between 0.1Mn and 0.3Mn addition alloys.

        Fig.1.Optical microstructure of as-cast and solution-treated Mg-9Al-2Sn-xMn(wt.%)alloys:(a)x=0,as-cast alloy;(b)x=0,solution-treated alloy;(c) x=0.1,as-cast alloy;(d)x=0.1,solution-treated alloy;(e)x=0.3,as-cast;(f)x=0.3,solution-treated alloy.

        Fig.2 presents the OM images of 200°C aging treated Mg-9Al-2Sn-xMn alloys(x=0,0.1,0.3)at different aging times(t)from 0.5 h up to 4 h.Subsequent aging treatment after solution treatment leads to two different kinds of Mg17Al12precipitates,which are already conf i rmed by the previous studies[17,18]-discontinuous and continuous Mg17Al12precipitates.The present study examines the variation of the volume percentage of discontinuous Mg17Al12precipitates with the aging time variation from 0.5 h to 4 h,since it is diff i cult to distinguish the discontinuous precipitates from the continuous precipitates when aging time is longer than 4 h.At the beginning of aging,the discontinuous precipitates lead to the shadows in OM images,therefore,it is easy to distinguish the discontinuous precipitates from the matrix.These shadows, of course,do not merely consist of all of the discontinuous precipitates,but are the mixture of discontinuous Mg17Al12phases and α-Mg.In present study,the area percentage of the shadows was used to represent the content of the discontinuousprecipitates and the results are list in Table 3.It indicates that the discontinuous precipitates increase when Mn element is added.Mn addition seems to accelerate the precipitation of discontinuous Mg17Al12phases.Such effect is much clearer at shorter aging times,such as 0.5 h,1 h and 2 h.

        Table 2Average grain size of cast Mg-9Al-2Sn-xMn alloys measured by the linear intercept method in OM images,unit(μm).

        Fig.2.Optical microstructure of aging treated Mg-9Al-2Sn-xMn alloys(x=0,0.1,0.3 wt.%)at different aging times(t)from 0.5 h up to 4 h.

        Fig.3 shows the SEM images of cast AT92-0.3Mn alloy aged at 200°C for 64 h.The discontinuous precipitates were observed along the grain boundary,whose size is obviously larger than the continuous precipitates at grain interiors,as indicated by the arrows in Fig.3a.The chemical concentrations of the phases with different contrasts were measured by EDS and the results are listed in Table 4.The large white protrusions(spectrums 1 and 2)are supposed to be Al8(Mn, Fe)5particles based on their chemical composition and the previous study[14],which can also be observed in OM images of Fig.1d and f in gray color.The f i ne white particles(spectrum 3 in Fig.3b)along with the discontinuous precipitates (spectrum 4)and the residual Mg17Al12phases are Mg2Sn phases according to their chemical compositions.

        3.2.Aging curves

        Fig.4 demonstrates the aging behavior of the investigated alloys with and without Mn addition isothermal aging treated at 200°C.The aging curves of AT92,AT92-0.1Mn and AT92-0.3Mn alloys look similar to each other.The hardnessof all of three alloys drops from as-cast condition to solution treated condition,keeps increasing from 0 h(solution treated condition)up to 64 h and decreases after that.The hardness decrease of Mg-9Al-2Sn-xMn alloys after solution treatment is due to the dissolution of Mg17Al12and Mg2Sn phases. Their difference of aging curves mainly locates at the early period of aging process from 0.5 h to 64 h.The hardness of AT92-0.1Mn alloy(red line in Fig.4)increases much more rapidly than the other two alloys,as seen from the slopes of the aging curves from 0.5 h to 8 h in Fig.4.At the peak-aged condition,the hardness increase(ΔHV)of the investigated alloys are 28HV(0Mn),33HV(0.1Mn),30HV(0.3Mn), respectively.AT92-0.1Mn alloy has the highest hardness increment(For interpretation of the references to color in this paragraph,the reader is referred to the web version of this article.).

        Table 3Ratios of shadow area of cast Mg-9Al-2Sn-xMn(wt.%)alloys aged at 200°C from 0.5 h to 4 h,unit(%).

        Fig.3.SEM micrographs of cast Mg-9Al-2Sn-0.3Mn alloy aged at 200°C for 64 h after solution treatment.Image(b)is the high-magnif i cation observation of area indicated by the square in image(a).

        Table 4Chemical concentration of investigated area(spectrum 1,2,3,4)in Fig.5 with EDS analysis.

        Fig.4.Vickers hardness evolution of cast Mg-9Al-2Sn-xMn(wt.%)alloys under isothermal aging condition at 200°C.

        3.3.Tensile properties

        Tables 5-7 list the yield strength,ultimate tensile strength and elongation of cast Mg-9Al-2Sn-xMn(x=0,0.1,0.3) alloys in different thermal treated conditions at room temperature.Table 5 demonstrates that the yield strength decreases from as-cast condition to solution treated condition and increases with aging time,gets its peak at 8 h and decreases after that.The peak yield strength of three alloys are 133 MPa(0Mn),154 MPa(0.1Mn)and 137 MPa(0.3Mn) respectively,where AT92-0.1Mn alloy has the highest yield strength of 154 MPa.The variation of elongation is nearly in an opposite way(Table 7).The elongation decreases with the increase of aging time.Generally,the Mn containing alloys (AT92-0.1Mn and AT92-0.3Mn)have a little bit better elongation than the Mn-free alloy(AT92).The variation of ultimate tensile strength is generally irregular and the Mn containing alloys have higher ultimate tensile strength than the Mn-free alloy(Table 6).AT92-0.1Mn alloy has the best combination of yield strength,ultimate tensile strength and elongation when aged at 200°C for 8 h,which are 154 MPa, 292MPa and 5%,respectively.

        3.4.Fracture surface

        Fig.5 depicts the SEM images of the fracture surface of the studied alloys tensile tested at as-cast,solution treated and T6 (200°C × 8 h)conditions.The failure surfaces of as-castalloys consist of fractured eutectics or secondary compounds, as shown in Fig.5a,d and g.As the atomic number of Mg and Al elements is very close,in backscattered electron images, only the fractured Mg2Sn compounds can be clearly distinguished,which can be seen in the inset images at the corners of Fig.5a,d and their locations are indicated by rectangles. Also,lots of secondary cracks(arrows)can be observed,which reveals that these alloys are brittle in general.Different from as-cast alloys,there are lots of fractured cleavage planes on the fracture surfaces of solution treated(Fig.5b,e and h)and aged (Fig.5c,f and i)alloys.Some of the cleavage planes are grainsize large,and probably the whole grains fracture along the cleavage planes.Beside the cleavage planes,there are f i ne dimples on these fracture surfaces.Amplif i ed images can be found in Fig.6.These dimples are probably located near grain boundaries as lots of residuals(Mg2Sn compounds)can be observed.There are also f i ne residuals(f i ne white particles in Fig.6b)among the dimples.However,these f i ne residuals should not be the reasons to form the dimples,because lots of dimples are not related to the f i ne residuals as indicated by the arrow in Fig.6.These dimples should be formed by the activation of non-basal slips near the grain boundaries where experience severe plastic deformation during the fracture. Therefore,the as-cast alloys mainly failure through the eutectics or secondary compounds,which is inter-granular fracture pattern,and solution treated and aged alloys fracture in a mixture pattern of trans-granular and inter-granular,where trans-granular pattern is dominant.There is no obvious difference among the three alloys.

        Table 5Yield strength of cast Mg-9Al-2Sn-xMn(x=0,0.1,0.3 wt.%)alloys at different aging treatments:as-cast,T4 and T6 condition,unit(MPa).

        Fig.7 shows the optical microstructure of ruptured samplesperpendicularto the fracture surface ofcast Mg-9Al-2Sn-xMn(x=0,0.1,0.3)alloys in T6-4 h condition.The discontinuous precipitates-Mg17Al12phases (dark shadows)are locates along the grain boundaries.Cracks near the fracture surface are observed,which mainly locate at the inside of grains.Some of the cracks are generated along the basal slip planes as parallel slip lines can be observed,as indicated in Fig.7a.While some of the cracks present certain angles with the parallel slip lines,as indicated in Fig.7a and c, which may be fracture along the twinning boundaries,or just along the twinning boundaries,as shown in Fig.7b.Therefore, the cleavage planes observed on the fracture surfaces in Fig.5 are probably the basal planes or twinning boundaries.Coincident with the observation of fracture surface(Fig.5),the OM observation also conf i rms that the alloys in aged condition fractures in a mixture mode of inter-granular and transgranular patterns,as both fractured cleavage planes and grain boundaries can be observed(Fig.7a,b).

        4.Discussion

        From the abovedescription,Mn addition into cast Mg-9Al-2Sn(AT92)alloy has inf l uences both on microstructure and mechanical properties.

        When Mn is added into the alloy,Al8(Mn,Fe)5particles form at the grain interiors(Fig.1).The size of these particles grows with the increase of Mn addition.Al8(Mn,Fe)5particles in AT92-0.3Mn alloy are in the range of 4.69-7.81 μm, larger than those in AT92-0.1Mn alloy(~3.13 μm),as shown in Fig.1d and f.The size of these Al8(Mn,Fe)5particles seems not to change during solution treatment.For instance,the size of Al8(Mn,Fe)5particles in solution treated AT92-0.1Mn alloy is still about 3 μm(Fig.1d),nearly the same as that of as-cast alloy.Mn addition leads to the grain ref i nement of AT92 alloy,which is conf i rmed in both solution treated and different aged conditions in Table 2.Such phenomenon ofgrain ref i nement probably causes by the formation of Al8(Mn, Fe)5particles,since Al8(Mn,Fe)5could be effective nuclei in Mg alloys[12,13].Though there is still a debate on the grain ref i nement effect of Al8(Mn,Fe)5particles,the present experiment supports the idea that Al8(Mn,Fe)5particles have some effect of grain ref i nement.The addition of Mn element also seems to increase the content of discontinuous precipitates(the shadow area in Fig.2)of AT92 alloy.Therefore, in a summary,the addition of Mn element into AT92 alloy leads to the formation of Al8(Mn,Fe)5particles,certain grain ref i nement effect and the increase of the content of discontinuous precipitates.

        Table 6Ultimate tensile strength of cast Mg-9Al-2Sn-xMn(x=0,0.1,0.3 wt.%)alloys at different aging treatments:as-cast,T4 and T6 condition,unit(MPa).

        Table 7Elongation of cast Mg-9Al-2Sn-xMn(x=0,0.1,0.3 wt.%)alloys at different aging treatments:as-cast,T4 and T6 condition,unit(%).

        The inf l uences of Mn addition on the mechanical properties are mainly indicated by the change of aging curves(Fig.4) and the improvement of yield strength(Table 5).It seems that 0.1Mn addition has much more obvious effect on the mechanical properties than 0.3Mn addition.The hardness of AT92-0.1Mn alloy increases much more rapidly than the other two alloys,and can be seen from the slopes of the aging curves from 0.5 h to 8 h in Fig.4.It then leads to the highest yield strength of 154 MPa when aged at 200°C for 8 h.It seems that 0.1Mn addition promotes the aging hardening ability of AT92 alloy.A recent research about Mg-2Al-2Ca alloy[19]shows that the average diameter of the GP zone(Al-Ca)is decreased by Mn addition.Similar growth resistant effect of Mn addition on Mg17Al12precipitates may also exist in present alloy,which may enhance the number density of continuous Mg17Al12phases.Therefore,the improvement of mechanical properties of 0.1Mn addition alloy may be the results of the grain ref i nement effect of Mn addition(Table 2), the increase of discontinuous precipitates at grain boundaries and possible growth resistant effect of Mn addition on continuous precipitates at grain interiors.

        Fig.5.SEM fractographs of cast Mg-9Al-2Sn-xMn(x=0,0.1,0.3 wt.%):x=0,(a)as-cast,(b)solution-treated,(c)aging treated-8 h;x=0.1,(d)as-cast,(e) solution-treated,(f)aging treated-8 h;x=0.3,(g)as-cast,(h)solution-treated,(i)aging treated-8h.The insets are the backscatter images of the areas indicated by the rectangles in(a),(b),(d)and(e).The right parts of(f)and(i),the whole part of(h)are backscatter images.

        Fig.6.SEM fractographs of solution treated Mg-9Al-2Sn-0.1Mn alloy:(a)secondary electron image,(b)backscatter electron image.

        Why 0.3Mn addition has less inf l uence on both microstructureandmechanicalpropertiesthanthatof0.1Mnaddition?Itis still unclear at present moment.However,similar results were observed in Peng Cao et al.’s research[13].They reported that 0.1Mn addition can ref i ne the grains of Mg-9Al alloy while 0.2Mnadditionleadstoalittle bitcoarsergrains compared with Mg-9Al alloy.Therefore,it seems to be true in Mg-9Al based alloy that 0.1Mn addition has the best grain ref i nement effect. The behind reason should be revealed by further studies.

        Another important issue needs to be revealed in present study is that the fractured residual Mg2Sn compounds can be frequently observed on the fracture surfaces of AT92 series alloys,as shown in Fig.5,even after solution treatment,such as Fig.5e.These fractured Mg2Sn compounds probably reduce the ductility of AT92 series alloys as they fracture into pieces easily.Therefore,Sn content in Mg-9Al-Sn alloy should decrease to ~1%for better mechanical properties,as the solution temperature(420°C)in the present study is already very high for the Mg-9Al based alloy and cannot be enhanced any more.

        5.Conclusion

        The microstructure and mechanical properties of cast Mg-9Al-2Sn-xMn(x=0,0.1,0.3 wt.%)alloys in as-cast, solution treated and aged conditions are investigated and the following conclusions can be drawn.

        Fig.7.Optical fracture of Mg-9Al-2Sn-xMn(x=0,0.1,0.3 wt.%)with aging treatment at 200°C for 4 h:(a)x=0,(b)x=0.1,(c)x=0.3.

        (1)Mn addition into Mg-9Al-2Sn alloy leads to the formation of Al8(Mn,Fe)5phases,the grain ref i nement and the increase of discontinuous Mg17Al12precipitates along the grain boundaries.The formation of Al8(Mn,Fe)5particles at grain interiors are probably the reason of grain ref i nement,which are stable in size during the solution treatment.

        (2)0.1 wt.%Mn addition alloy has an obvious effect on accelerating the aging behavior of Mg-9Al-2Sn alloy at the early aging period up to 8 h and while 0.3 wt.%Mn addition alloy has an comparable aging behavior with the Mn-free alloy.Mg-9Al-2Sn-0.1Mn alloy has the best combinationofstrengthandelongationwhenagedat200°C for 8 h and the yield strength,ultimate tensile strength and elongation are 154 MPa,292MPa and 5%,respectively.

        (3)Mn addition has less inf l uence on the fracture behavior of Mg-9Al-2Sn alloy.Thefracture patternsofcast Mg-9Al-2Sn-xMn alloys are mainly determined by their thermal conditions.The as-cast alloys mainly fail through the eutectics or secondary compounds,which is intergranular fracture pattern.The solution treated and aged alloys fracture in a mixture pattern of trans-granular and inter-granular,where trans-granular pattern is dominant. The cleavage planes observed on the fracture surfaces of solution treated and aged alloys are probably the basal planes or twinning boundaries.

        Acknowledgment

        This research work is collaborated by General Motors Global Research and Development(GM R&D),Warren,MI, USA,and Shanghai Jiao Tong University(SJTU),Shanghai, China.Dr P.Fu would like to acknowledge the support of a Specialized Research Fund for the Doctoral Program of Higher Education(20110073120008)and a project from Shanghai Science and Technology Committee(12DZ0501700).

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        Received 8 December 2013;revised 15 January 2014;accepted 17 January 2014 Available online 18 March 2014

        *Corresponding author.Tel.:+86 21 54742911;fax:+86 21 34202794. E-mail address:fph112sjtu@sjtu.edu.cn(P.Fu).

        Peer review under responsibility of National Engineering Research Center for Magnesium Alloys of China,Chongqing University.

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        2213-9567/Copyright 2014,National Engineering Research Center for Magnesium Alloys of China,Chongqing University.Production and hosting by Elsevier B.V.All rights reserved.

        Copyright 2014,National Engineering Research Center for Magnesium Alloys of China,Chongqing University.Production and hosting by Elsevier B.V.All rights reserved.

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