This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research and education use, including for instruction at the authors institution and sharing with colleagues. Other uses, including reproduction and distribution, or selling or licensing copies, or posting to personal, institutional or third party websites are prohibited. In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier’s archiving and manuscript policies are encouraged to visit: http://www.elsevier.com/copyright Author's personal copy Intermetallics 17 (2009) 607–613 Contents lists available at ScienceDirect Intermetallics journal homepage: www.elsevier.com/locate/intermet Phase-separated microstructures and shear-banding behavior in a designed Zr-based glass-forming alloy X.H. Du a, b, J.C. Huang a, *, H.M. Chen a, H.S. Chou a, Y.H. Lai a, K.C. Hsieh a, J.S.C. Jang c, P.K. Liaw d a Institute of Materials Science and Engineering, Center for Nanoscience and Nanotechnology, National Sun Yat-Sen University, Kaohsiung 804, Taiwan, ROC Department of Materials Engineering, Shenyang Institute of Aeronautical Engineering, Shenyang 110034, PR China c Department of Materials Science and Engineering, I-Shou University, Kaohsiung 840, Taiwan, ROC d Department of Materials Science and Engineering, The University of Tennessee, Knoxville, TN 37996, USA b a r t i c l e i n f o a b s t r a c t Article history: Received 11 August 2008 Received in revised form 12 January 2009 Accepted 30 January 2009 Available online 28 February 2009 We have employed a thermodynamic-computation approach to identify the composition of the Zr–Cu–Ni–Al alloy system exhibiting a two-liquid miscibility phase equilibrium in the liquid-temperature region, which tends to favor the occurrence of the liquid-phase separation. Guided by these calculated diagrams, a Zr-based alloy with a 10 at.% Al is designed, and its bulk-metallic glass (BMG) is prepared successfully by the copper-mould suction casting. A heterogeneous microstructure characterized by the existence of phase-separated regions with several to decades micrometers in size forms in the BMG. Under uniaxial compressive loading, the designed Zr-based BMG demonstrates the continuous ‘‘work hardening’’ and remarkable macroscopic plastic strain at room temperature. The improvement of mechanical properties is attributed to the unique glassy structure correlated with both the heterogeneous microstructure and the micro-scaled phase separation, leading to the extensive shear-band formation, interaction, and multiplication. Ó 2009 Elsevier Ltd. All rights reserved. Keywords: B. Glasses, metallic B. Mechanical properties at ambient temperature E. Phase diagram, prediction F. Electron microscopy, transmission 1. Introduction According to Inoue’s third empirical rule [1], the formation of monolithic metallic glasses with the high glass-forming ability (GFA) requires a high negative heat of mixing among the main constitute elements. However, the resulting monolithic bulkmetallic glasses (BMGs) usually demonstrate highly inhomogeneous deformation below the glass-transition temperature even under compressive loading with or without confinement [2–5]. To solve the problem of low plastic strains, the development of bulkmetallic glass composites (BMGCs) has been proven to be a promising way. Two main approaches have been explored so far, one is to in situ precipitate crystalline phases in the BMG matrix, and the other is to introduce foreign particles or micrometer-sized pores into the BMG matrix [6–10]. Apart from forming BMGCs, one can develop a hierarchical glassy microstructure, which is of potential interest in terms of the nucleation and propagation of shear bands. Some studies have demonstrated that for some glass-forming systems, if there exist repulsive interactions among atoms, its plasticity can be enhanced by the introduction of the nano-scale chemical inhomogeneity in * Corresponding author. Tel.: þ886 7 5252000; fax: þ886 7 525 4099. E-mail address: [email protected] (J.C. Huang). 0966-9795/$ – see front matter Ó 2009 Elsevier Ltd. All rights reserved. doi:10.1016/j.intermet.2009.01.019 the amorphous matrix [11–14]. Recently, the influences of different length-scale ductile constituent phases on the mechanical properties of Zr-based BMG composites have been investigated, showing that the deformation is controlled by the types of the constituent phases and their morphology [15]. Following this line of thought, the development of a microstructure with micro-scale chemical heterogeneities is expected to be of potential interest in terms of the deformation mechanics of BMGs. Although the concept of a phase-separating system is contrary to Inoue’s rule, many valuable efforts have been devoted to the topic of phase-separating metallic glasses, and impressive progresses have been made so far [16–20]. For the glass-forming system, which consists of a strong repulsive tendency of components, it is expected that a liquid-state phase separation into two glasses can occur during cooling from the liquid state due to the existence of the two-liquid miscibility phase equilibrium in the liquid-temperature region, and two glassy phases can form during rapid cooling from the liquid state. This trend has been verified by the recently observed multi-component La–Zr–Cu–Ni–Al alloys (La–Zr: þ74 kJ/ mol [16]) [17], a quaternary Y–Ti–Al–Co (Ti–Y: þ58 kJ/mol [16]) system [18], a ternary Ni–Nb–Y (Nb–Y: þ127 kJ/mol [16]) alloy [19], and a Cu–Zr–Al–Y (Zr–Y: þ35 kJ/mol [16]) [20] system. In these materials, the decomposition and structure formation take place already in the melt prior to the solidification. The heterogeneity size in this new group of amorphous-metallic alloys ranges from Author's personal copy 608 X.H. Du et al. / Intermetallics 17 (2009) 607–613 a nanometer to micrometer dimension with the features of selfsimilarity. However, due to the inferior GFA originated from the existence of a strong de-mixing tendency of components, all these samples are prepared as the ribbons. Thus, no investigation has been made so far concerning the effect of micro-scaled phaseseparated regions on the ductility. To overcome the dilemma, recently, based on thermodynamic calculations, a micro-scale phase-separated Zr-based BMG (Zr63.8Ni16.2Cu15Al5) with remarkable plasticity has been successfully developed by the same authors [21]. A unique mechanism operative in the phase-separated BMG, i.e., the effective hindrance of a hard glassy phase on the propagation of shear bands, has been suggested. This trend indicates that by designing the compositions based on the thermodynamic calculation, some monolithic BMGs can deform plastically through the formation of phase-separated microstructures. In this paper, a newly designed Zr-based glassforming alloy with a 10 at.% Al based on the calculated diagrams, as well as its microstructure and mechanical response is reported. Especially, the physical process underlying the formation of microscale-separated microstructures and the resulting shear-banding behavior are systemically described. 2. Alloy design and experimental procedures The thermodynamic-computation approach to identify the potential compositions of Zr–Ni–Cu–Al alloys exhibiting the twoliquid miscibility phase equilibrium in the liquid temperature region has been described in the previous paper for 5 at.% Al (Zr63.2Ni16.2Cu15Al5) [21]. For the quaternary system, the complete isotherm is a tetragonal volume under a constant pressure. Fig. 1 is a two-dimensional section obtained from cutting with a constant 10 at.% Al content from this isothermal tetragonal. The isopleth A-A cut (a temperature versus composition section through the multidimensional phase diagram) marked in Fig. 1(a) is calculated and shown in Fig. 1(b), in which a two-liquid miscibility region can be seen. According to the diagram, the ‘‘X’’ alloys with the compositions locating in the two-liquid-phase region are anticipated to produce the two-phase BMGs by a liquid-phase separation. Thus, the alloy composition in the present study is designed. Using a subregular solution model [22,23], the free energy of a liquid can be obtained from the expression: G ¼ RT X i xi lnxi þ n n X X i ¼ 1 j ¼ iþ1 xi xj X uvij xi xj v (1) v¼0 where uij represents the interaction parameter between the i and j components. According to the solution thermodynamic principle, there are positive uij values or positive enthalpy mixing value to induce the two-liquid miscibility region. Then, we can calculate the spinodal lines based on the conditions that the second derivate of Gibb’s free energy is equal to zero within the two-liquid miscibility region. In our parallel study using thermodynamic computations [24], such spinodal boundaries are carefully established. Fig. 2 shows the schematic diagram including the spinodal boundary as a dashed-dotted line. The liquid composition within the spinodal region may decompose into two liquid phases assigned as a Ni-rich liquid and Cu-rich liquid and form the two liquid metallic glass. The designed alloy composition is selected, namely, Zr65.8Ni15.8Cu8.4Al10 in at.%. It should be noted that the current alloy has more Ni than Cu, which is different from most Zr-based BMGs containing more Cu than Ni. The typical example is the one reported by Zhang et al. [25], designated as the Inoue’s alloy. The current Zr65.8Ni15.8Cu8.4Al10 alloy lies within the spinodal region. The Zr65.8Ni15.8Cu8.4Al10 cylindrical ingots, 2 mm in diameter, were prepared by arc-melting the pure elements under a purified Fig. 1. (a) Zr-rich isothermal section calculated for the Zr–Ni–Cu–Al system for a constant 10 at.% Al at 1050 C (X1: Zr65.8Ni15.8Cu8.4Al10), and (b) the temperature, T, versus composition, X, section for the AA cut, where the composition of the X1 alloy can be located. Ar atmosphere and in situ suction casting in a copper mould. The differential scanning calorimetry (DSC) with a heating rate of 20 K/min, X-ray diffraction (XRD, Diano 8536X, Cu-Ka radiation) and high-resolution transmission electron microscopy (HRTEM, Jeol JEM-3010) coupled with the energy-dispersive X-ray spectroscopy analysis (EDS) are used to assure the amorphous nature and characterize the phase-separating phenomenon of the as-cast alloys. The rod specimens with an aspect ratio of 2:1 (height/diameter) are tested in uniaxial compression under an initial strain rate of 2 104 s1 at room temperature using an Instron 5582 universal testing machine. Both ends of the specimens are polished to make them parallel to each other prior to the compression test. The outer surfaces as well as the fracture surfaces of the deformed specimens are examined by the scanning electron microscopy (SEM, Jeol JSM6330 TF) with EDS. Foils for TEM observations are thinned by ion milling to produce a central hole. For specimen thinning, the ionbeam energy was about 3 keV, and the milling angle about 7 –9 . Under these ion-milling conditions, no heating or radiationinduced crystallization can occur as reported by Sun et al. [26]. All images and diffractions are recorded within 30 s to prevent the possible artifacts caused by the electron beam. Author's personal copy X.H. Du et al. / Intermetallics 17 (2009) 607–613 609 Liquid phase region Tl Temperature, T L1 L2 Td Tg N domain Ni-rich M region Composition C domain Cu-rich Fig. 2. The schematic diagram includes the spinodal boundary as a dashed-dotted line. The liquid composition within the spinodal region may decompose into two liquid phases assigned as a Ni-rich liquid and Cu-rich liquid. 3. Results and discussion 3.1. Microstructural characterizations of the as-cast ingots The representative XRD and DSC curves of the as-cast alloy are shown in Fig. 3. The diffuse hump in the XRD curve, coupled with the clear glass transitions and sharp crystallization events in the DSC curve, confirms the glassy nature of the BMG. The glass-transition temperature, Tg, crystallization temperature, Tx, supercooled temperature range, DTx, solidus temperature, Ts, and liquidus temperature, Tl, are 647, 745, 98, 1105 and 1178 K, respectively. The GFA parameters, such as Trg (¼Tg/Tl) [27], g [¼Tx/(Tg þ Tl)] [28], and gm [¼(2Tx Tg)/Tl] [29] are 0.55, 0.41, and 0.72, respectively. The corresponding critical cooling rate to produce the glassy phase is around 1 K/s [28]. All of these results prove that the designed alloy has a good glass-forming ability. Fig. 4(a) shows the TEM bright-field image of the as-cast alloy, also presenting the apparent phase separation, one with a darker contrast and the other with a brighter contrast. The inserted diffraction pattern was taken from a larger region covering both the dark and bright domains. Due to the similar sizes of the Ni (an atomic radius of 1.24 Å) and Cu (an atomic radius of 1.28 Å) atoms and the diffuse halo nature, it is not able to differentiate the halos originated from the Ni or Cu domains. From the TEM observations, it seems that the phase separation occurs only in partial regions. There are still some glassy matrix regions with no phase separation, exhibiting a simple gray contrast and single halodiffraction pattern, as shown in Fig. 4(b). The TEM/EDS results measured for the local domain with a darker contrast in the Zr65.8Ni15.8Cu8.4Al10 (at.%) alloy give a composition of Zr65Ni20.3Cu5.2Al9.5 (at.%), i.e., the Ni-rich N domains, whereas the chemistry of the brighter contrast areas is Zr66.4Ni10.6Cu12.7Al10.3 (at.%), i.e., Cu-rich C domains. The EDS measurements at different locations would give slightly different readings Thus, the above two compositions are not fixed, still showing either Ni- or Cu-rich phases for the darker or brighter domains, respectively. Fig. 4(c) and (d) displays the high magnitude and lattice images obtained from the interface between two glassy phases with the darker and brighter contrasts denoted by ‘‘A’’ in Fig. 4(a). The round interface areas do not show a sharp lattice fringes boundary, indicating that the two glassy phases form by the Fig. 3. XRD (a) and DSC (b) patterns obtained from the 2-mm-diameter ingots of the Zr63.8Ni16.2Cu15Al5 alloy. separation in the liquid state during the solidification process. This phenomenon has also been observed in many liquid phase-separated glass-forming alloys [17–19]. In this case, the special microstructure in the designed Zrbased BMG can be understood from the pseudo-binary phase diagrams in Figs. 1(b) and 2 of the Ni-rich composition on the left and Cu-rich composition on the right. During cooling, the melt crosses the critical temperature and separates into the corresponding compositions along the spinodal boundaries, i.e., the primary liquid-phase separation occurs. The present results show that the cooling rate during the copper-mould casting provides a sufficient time for the Zr-based alloy melt to form two separated liquid phases at relatively high temperatures, where the L1 and L2 liquid phases are immiscible. In this case, the liquid-phase separation mainly involves the diffusion of Ni and Cu (with a heat of mixing of þ4 kJ/mol), which will be promoted by the sudden agitation and homogeneous mixing through the violent melt flow during the suction–casting process. Since the viscosity is low in the liquid, there is enough driving force for the separated phase to achieve the equilibrium shape with the lowest interfacial energy, i.e., in the shape of a sphere. The size may be micro-scaled due to the rapid diffusion of atoms in the liquid. Depending on the concentration fluctuation of local chemical compositions in the melt, separation can only occur in the regions, where the compositions are falling into the spinodal region. Following that, with the rapid cooling rate of the copper-mould suction casting, these separated liquid phases are frozen into the separated glassy phases. Author's personal copy 610 X.H. Du et al. / Intermetallics 17 (2009) 607–613 Fig. 4. Microstructures of the 2-mm-diameter as-cast Zr65.8Ni15.8Cu8.4Al10 rods. (a) and (b) TEM bright-field images for different regions, respectively, with their corresponding selected-area-diffraction patterns; (c) a high-magnitude image of the interface marked by ‘‘A’’ in (a), and (d) a high-resolution lattice image of the interface marked by ‘‘B’’ in (c). 3.2. Compression studies at ambient temperature and observations of shear-banding behavior Fig. 5 shows the engineering stress versus engineering strain curves of the designed BMGs obtained in the uniaxial compression under the initial strain rate of 2 104 s1 at room temperature. While the alloy of the Inoue’s composition fails right after the elastic stage, the two-glassy-phase Zr-based BMG shows an engineering strain up to 4.6% prior to the unstable deformation. In this engineering stress–strain curve, the yield stress and the maximum engineering compressive stress are w1750 and 1950 MPa, respectively. The flow stress increment from the yield to maximum stress is about 200 MPa, or w11.5% increase. The apparent strain-hardening exponent is measured to be about 0.08, which is close to the low limit of a face-centered cubic metals (0.10–0.50). The inserted figure presents the amplified compressive stress-displacement curve for the designed BMG, which shows that plastic deformation proceeds mainly by numerous serrated flows. Traditionally, the discussion on the issue of working hardening or softening is based on the true stress–strain curves in which the uniform change in the sample cross-sectional area is taken into account. For the homogeneous plastic deformation under compression, the cross-sectional area would increase accordingly. However, because the plastic deformation of the BMG is inhomogeneous and accomplished by the accumulation of the offset from individual shear bands, the true sample cross-sectional area change with increasing compressive straining is actually minimum and cannot account for the 11.5% flow-stress increment. In fact, due to the shear-banding offset effect, the effective cross-sectional area that withstands the applied forces is actually decreasing with increasing compression straining. Thus, the intrinsically mechanical property of the BMG might be overshadowed by the true Fig. 5. Engineering stress versus strain curves obtained from the uniaxial compression test of the 2-mm-diameter rod. The inset figure is the enlarged curves, which shows a serrated flow. Author's personal copy X.H. Du et al. / Intermetallics 17 (2009) 607–613 stress–strain curve transformed by the assumption of homogeneous and uniform plastic deformation. The minor work hardening-like behavior seen in the engineering stress and strain curve of the phase-separated BMG might imply the resistance force encountered by the shear bands when they propagate within the two periodically-spaced harder and softer glassy phases. When one propagating shear band faces the resistance, the neighboring shear band, with the same or deviated angle with respect to the loading axis, might be induced at a higher flow stress level. The SEM observations on the outer surface of the fractured Zr65.8Ni15.8Cu8.4Al10 specimen are presented in Fig. 6. Both the primary shear bands and the final fracture plane are inclined about 45 with respect to the compression axis. Therefore, the shear stress is mainly responsible for the deformation and failure of the BMG. Fig. 6(a) shows that multiple primary shear bands have been formed prior to the final fracture for the BMG. It is interesting to observe that the offset amount of an individual primary shear band is appreciable, as presented in the circle part in Fig. 6(a). The compression strain results from the accumulation of the offset amount associated with these shear bands. In this case, the significant offset for an individual shear band should originate from the sliding behavior between the two parts of the BMG divided by the shear band. However, the ‘‘sliding’’ behavior seems to exhibit a very limited development. Thus, the lateral constraint effect should be significant for the arrest of shear bands. Fig. 6(b) is a high-magnitude SEM observation of the deformed sample, showing that the slip steps are jagged and typically occur as a group of several slip steps close together. We believe that these features are originated from the branching of individual shear bands as they propagate through the materials. Branching can distribute the plastic strains associated with the main shear band, and this trend makes it more difficult for a propagating shear band to nucleate a crack. Furthermore, the observed shear bands can be characterized as being semi-straight, wavy, or twisting, indicating the existence of the effective resistance to the propagation of shear bands. Based on these observations, it is reasonable to conclude that an arrest mechanism responsible for the effective prevention of the runaway slip along a single shear band plays a critical role for the development of the marked global plasticity for the designed alloy. 3.3. Mechanisms of the formation of multiple shear bands To investigate the mechanism underlying the arresting of shear bands, the plastically-deformed sample was characterized by TEM. A bright-field TEM image (Fig. 7) shows a severe deformation region in the vicinity of a fracture surface. As shown in Fig. 7, a bundle of small shear bands with a width of 30–50 nm as marked by the dotted lines can be observed, indicating that the deformation 611 strain is achieved by multiple shearing behavior. It should be mentioned that no diffraction contrast generated by the nanocrystals within each shear band has been observed. This trend is different from many previous observations showing profuse nanocrystals in a primary shear band [30,31]. The selected-area electron diffraction pattern taken from the ‘‘A’’ site in Fig. 7a is shown in the inset plot of Fig. 7b, demonstrating the amorphous nature in the shearing regions. On the other hand, the morphology of the developed shear bands on the fracture surface can provide the useful information. The examination on the fracture surface of the Zr65.8Ni15.8Cu8.4Al10 compressive specimen reveals the mixed morphologies, consisting of vein-like patterns and highly rough regions, as exhibited in Fig. 8(a). In this case, a locally-melted region is observed on the fracture surface, suggesting that a large amount of strains along the shear band led to localized melting before fracture. The mixture of veins and rough regions is not consistent with some investigations, which show that the vein-like pattern is the main part of the compressive fracture surfaces for most monolithic BMGs [32,33]. Fig. 8(b) is a part within the highly rough regions, where the shear bands can be clearly observed. The shear bands are highly branched, and their movement is rather wavy in nature. This trend suggests that the propagation of shear bands is effectively hindered during the compression process. Hence, the catastrophic shear-off through the whole sample is avoided. According to the state of shear bands, the fracture surface can be divided into the ‘‘A’’ and ‘‘B’’ regions, as denoted in Fig. 8(b). By SEM/EDS analyses, the compositions of regions ‘‘A’’ and ‘‘B’’ are different, and the composition of the ‘‘B’’ region resembles the composition of phase-separated regions observed by TEM (i.e., the Ni-rich region). Fig. 8(c) and (d) shows the shear-band morphology in regions ‘‘A’’ and ‘‘B’’, respectively, at a higher magnification. The shear bands in the region ‘‘A’’ are highly wavy and branched, which confirms the formation of a high density of shear bands in the region ‘‘A’’. The limited length of the abundant shear bands surrounding the region ‘‘B’’ indicates the strong interaction between shear bands and phase-separated regions. Most interestingly, intercrossed step-like shear bands are also observed in the region ‘‘B’’ of the fracture surface, as illustrated in Fig. 8(d). The distance between shear bands is about 1–2 mm and a large number of shear bands appear at about 45 from the stress axis. All these results indicate that the separated phases can promote the homogeneous deformation in an individual shear band accommodating the applied strain rather than the accumulation of damage at some particular shear bands. We know that a direct result of the phase separation is the emergence of the regions with different chemical compositions, which will cause the inhomogeneous distribution of hardness in the BMGs. In this case, in the phase-separated regions, the softer Cu-rich glassy phase in the two-phase BMG is the glassy matrix Fig. 6. SEM observations of the outer surface of the 2-mm-diameter fractured sample at room temperature. Author's personal copy 612 X.H. Du et al. / Intermetallics 17 (2009) 607–613 Fig. 7. A bright-field TEM image of a bunch of shear bands nearby the fracture surface (a) and corresponding selected area electron diffraction pattern (b). Fig. 8. Observations of the sample and fracture surface after the deformation: (a) SEM image of the fracture surface; (b) a shear-band pattern on the fracture surface; (c) shear banding in the region A; and (d) shear banding in the region B. Author's personal copy X.H. Du et al. / Intermetallics 17 (2009) 607–613 with a brighter contrast, and the local hardness measured by nanoindentation for the brighter phases is 5.02 0.04 GPa, which is softer than that of the darker phases (6.5 0.04 GPa). Thus, a unique microstructure composed of hard regions surrounded by soft regions can be realized at the phase-separated regions for the current Zr-based BMGs. As we have known, due to the different chemical compositions, different areas in the glasses may exhibit different critical shear stresses for yielding [34,35]. We propose that upon yielding of the two-glassy-phase BMG, the softer phase deform first. Simultaneously, the load is transferred to the surrounding harder glassy phase, causing the nucleation of a shear band due to the stress concentration. Upon further loading, the nucleated shear band propagates and interacts with other phaseseparated regions/shear bands. In this case, the growth of an individual shear band is arrested, and the shear band is cooled. Thus, the crack disappears. This trend hinders a single shear band to extend critically through the whole sample at the onset of the plastic deformation and cause an early fracture. Consequently, abundant shear bands can be developed in the phase-separated regions, as shown in Fig. 8(b)–(d). Recent investigations have demonstrated that if the BMGs are divided into compartments on a micron scale, the fracture mode changes, and their compressive ductility will be improved significantly [36–38]. Indeed, the small regions, if standing alone, can deform greatly with a high failure resistance by limiting the propensity of forming mature shear bands, as shown in the study [39,40]. However, a single shear band cannot carry more plastic strains due to the small longitudinal offset. The remarked compression strain should be equal to the amount of longitudinal offsets provided by the multiple shear bands. For this reason, the interrelation of the shear-banding behavior with the ‘‘work hardening’’ mechanical behavior is of interest for this phase-separated Zrbased BMG. The interactions between the shear bands and phaseseparated regions [Fig. 8(b)] would compensate the softening behavior induced by the shear-band formation [4]. With the propagation of an individual shear band, more phase-separated regions are swept, making the hindering force increase. On the other hand, because of the strong interface between the two glassy phases, the hard phase can also accommodate the stress intensity within the shear band. This feature results in a decrease of the local temperature inside the shear band, leading to a ‘‘hardening’’ of the glassy matrix. This trend is consistent with the fact that the portion with a vein-like pattern on the fracture surface is very limited in the current Zr BMGs [Fig. 8(a)]. These factors will result in a ‘‘work hardening’’ behavior macroscopically, by which the plastic instability can be controlled, as demonstrating in many ductile BMGs [41]. 4. Conclusions Based on the thermodynamic computation, a phase-separated Zr-based bulk-metallic glass with a dramatically-enhanced compressive strain over 16% at room temperature is successfully fabricated. During the compression process, no nanocrystalline phase forms even in the shear bands. Based on the SEM and TEM observations, the development of plasticity is attributed to phaseseparated regions heterogeneously distributed in the as-cast samples with the size scale of several to decades micrometers, resulting in the extensive shear-band formation, branching, and interaction. 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