Abstract
A heat treatment is presented that uses ductile-phase toughening to mitigate the effect of brittle intermetallics in a Ni-based braze alloy. The fracture resistance has been enhanced by creating a microstructure containing elongated ductile γ-(Ni) domains that align, preferentially, across the joint. The development of this beneficial microstructure is based on an understanding of the transient dissolution, isothermal solidification, and coarsening phenomena. Due to slow kinetics, the elimination of intermetallics by diffusion is avoided in favor of ductile domain formation through solidification control. The toughening has been attributed to a combination of bridging and process zone dissipation, enabled by the ductile phase.
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1 Introduction
Brazing has experienced renewed interest for the fabrication of large-scale, lattice-based structures. These structures are being investigated for a wide range of applications, including blast resistance,[1,2] shape morphing,[3] ultra-lightweight,[4] and active cooling.[5] The fabrication of such multifunctional structures involves bending thin core members and bonding to thin faces.[6] For topologically complex systems, welding is often not feasible and brazing is the preferred option. Many such structures comprise corrosion-resistant steels that require brazes incorporating nonmetallic modifiers and melting point depressants (Si and P). These elements react with the steel to form brittle intermetallics, resulting in low toughness (Γ ≈ 1 kJ/m2).[7] For the most commonly used Ni-based braze alloys, the strategies typically employed to minimize intermetallics and obviate brittleness (transient liquid-phase bonding or wide gap brazing)[8,9] are not viable for the intermediate width (75 to 200 μm) attachments present in lattice structures.
An alternative strategy applicable to intermediate thickness joints derives from the following understanding of microstructure evolution in the braze.[10] A γ-(Ni) phase (the ductile constituent) solidifies isothermally onto the steel substrate in a two-stage process: a rapid dissolution ↔ reprecipitation reaction in which the steel is consumed and γ-(Ni) deposited, followed by a slower solid-state diffusion reaction in which the braze modifiers are diluted into the bulk. This process segregates the nonmetallic components to the center, resulting in the formation of continuous intermetallic microconstituents upon solidification during cooling. The braze solidification sequence may thus be expressed as[10]
indicating that primary γ-(Ni) forms from the liquid (L) at the liquidus, followed by divorced co-precipitation with the silicide (T phase), and finally the terminal pseudo-eutectic solidification of the phosphide M 2 P with γ-(Ni). The pseudo-eutectic γ-(Ni) forms a continuous ductile network throughout the joint, which forms bridging ligaments upon fracture that undergo significant plastic stretch. The associated plastic dissipation provides about half the toughness.[7] The detrimental influence of the silicide can be negated by dilution, but the phosphides persist due to their limited solubility in the γ-(Ni) and steel substrate.[10] The foregoing sequence suggests that heat treatments could be designed that redistribute the γ-(Ni) to the centerline, thereby disrupting the continuous intermetallics and enhancing ductile-phase toughening. To explore this possibility, the dissolution and evolution of solidification reactions are investigated for a quaternary braze alloy containing both Si and P (Nicrobraze 31: Wall-Colmonoy, Cincinnati, OH) with austenitic stainless steel substrates (Table I).
To provide focus, recall that the bridging mechanism of ductile-phase toughening, ΔΓ ss , scales with the diameter, 2R, and the area fraction, f, of this phase intercepted by the crack:[11–14] ΔΓ ss = fRχ, where σ o is the yield strength of the ductile phase and χ is a work of rupture parameter governed by the plastic stretch, u c → χ = 2.5 u c /R.[11–14] Note that, to maximize the contribution to this toughening mechanism, the ductile phase should percolate through the joint, so that the area fraction term, f, participates fully. Otherwise, the crack circumvents this phase and obviates the toughening.[14] To exploit this opportunity, fabrication procedures that increase the product fR are pursued. Namely, the mechanisms of dissolution and isothermal precipitation are investigated, followed by the design of heat treatments capable of appropriately modifying the microstructure. Thereafter, the fracture resistance of the resulting joints is measured and the toughening analyzed.
2 Solidification Sequence
2.1 Methods
To simulate dissolution of the substrate, thermal analysis specimens were synthesized from Nicrobraze 31 and 303 stainless steel powders by melting mixtures at 1250 °C and cooling at 2 °C/min. Dilutions were made from 1 to 20 wt pct 303 stainless steel (w S ). Thermal analysis was carried out in a differential scanning calorimeter (DSC 404 C Pegasus: Netzsch Instruments, Capitola, CA) at heating and cooling rates of 2.5 °C/min in a gettered argon atmosphere \( (P_{{\text{O}_{2} }} < 10^{ - 12} \,{\text{atm}}). \) To establish the primary solidification product, a subliquidus quench was performed by slowly cooling an encapsulated molten alloy specimen through the liquidus temperature before quenching in water.
Braze evolution was examined within a fixed width slot (125 μm) in a 304 stainless steel specimen (Figure 1), bright annealed to recrystallize the recast surface layer created by electrodischarge machining. The powdered braze alloy was placed in a reservoir adjacent to the slot and sintered at 900 °C to fix the powder and remove the organic binder. Samples were brazed for several hours at 1100 °C after heating at 10 °C/min. To differentiate isothermally formed γ-(Ni) from that formed upon cooling, specimens were quenched from the hot zone by dropping into a graphite crucible at room temperature. The phase compositions were characterized by electron microprobe analysis using calibrated standards.
2.2 Measurements and Interpretation
The DSC analysis (Figure 2(a)) and microstructure resulting from a subliquidus quench (Figure 3) not only confirm the initial three-step solidification sequence in the undiluted braze, but also reveal that after 19 pct dilution, the secondary silicide and terminal pseudo-eutectic reactions coalesce, yielding a nominally two-stage process:
The dilution of the braze causes the liquidus to rise by 5 °C/w s (Figure 2(b)) (due to the addition of Fe), while the two other reactions converge to a single exotherm (Figure 2(a)). The merging of the silicide into the terminal pseudo-eutectic reaction (Figure 2(a)) correlates with the near elimination of the massive silicide particles and the appearance of silicide in the lathlike eutectic microstructure (Figure 4). Concurrently, the Fe and Ni content of the primary γ-(Ni) domains evolves monotonically (Figure 5(a)). The addition of stainless steel to the braze causes the solidification pathway below the liquidus to shift as follows: the original sequence comprising precipitation of γ-(Ni) and silicide from the twofold saturation volume of the silicide reaction, followed by precipitation from the threefold saturation surface of the terminal pseudo-eutectic, is superseded by a saturation space shift wherein precipitation from the twofold silicide saturation volume is significantly reduced in favor of precipitation of all three solid phases from a single four-phase saturation path of the terminal pseudo-eutectic. The resulting microstructure simplifies to primary γ-(Ni) in a three-phase field of a eutecticlike microstructure. This intermediate solidification sequence was unreported in previous work, wherein the silicide secondary reaction was eliminated entirely after 45 pct dilution, corresponding to a three-phase terminal reaction.[10]
The drop quenching experiments reveal that a continuous layer of γ-(Ni) forms on the substrate 3 minutes after the specimen reaches the liquidus temperature, indicating that the dissolution reaction is complete at that time (Figure 6). Since the dissolution ↔ reprecipitation reaction terminates with the onset of isothermal solidification, dissolution continues until the liquidus of the evolving liquid reaches the brazing temperature. Thus, the evolution of the liquidus temperature leads to a direct relationship between brazing temperature and early-stage recession (as distinct from the diffusion-controlled pseudo-steady-state recession[10]) (Figure 2(b)).
Once the isothermal γ-(Ni) seals the substrate from contact with the liquid, solid-state diffusion through the γ-(Ni) controls continued evolution of the joint, leading to the formation of γ-(Ni) cells, which then increase in size, with corresponding changes in composition (Figures 6 and 5(b)). Meanwhile, the large γ-(Ni) islands in the interior, which form on cooling, diminish rapidly and are eliminated entirely after 4 hours. Accordingly, the Fe and Ni contents (in mole fraction, X) of the primary γ-(Ni) vary parabolically with time \( \left( t \right):X_{{{\text{Ni}},{\text{Fe}}}} \propto \sqrt {t,} \) as expected for a diffusion-controlled process. Diffusion control is evident for all braze times shown, confirming that the γ-(Ni) layer on the substrate is effectively continuous after just 3 minutes. By invoking the proportionality, X Ni,Fe ∝ w S , the dilution and brazing time can be plotted on complementary axes (Figure 5(b)). This construction allows correlation of total substrate recession to brazing time (at 1100 °C), whereupon the dissolution ↔ reprecipitation reaction leads to ≈12 pct dilution of the braze alloy. This estimate is consistent with that predicted by the liquidus temperature; for a brazing at 1100 °C, isothermal solidification commences at ≈9 pct dilution.
3 Heat Treatments
Dissolution ↔ reprecipitation occurs so rapidly that it is impractical to circumvent. However, by combining short brazing times with drop quenching, γ-(Ni) dendrites form and extend from the surface of the isothermal cells, preferentially oriented perpendicular to the joint (Figure 6). A heat treatment was developed to coarsen the elongated structure of the γ-(Ni) particles. The coarsening is conducted at 1015 °C, where there is sufficient liquid to facilitate rapid coarsening while avoiding remelting of the γ-(Ni) dendrites. This temperature was chosen because the γ-(Ni) dendrites are, in part, a product of coprecipitation with the silicide. This results in coarsening of the silicide as well as the γ-(Ni), but coarsening above the silicide crystallization temperature is ineffective due to the low volume fraction of γ-(Ni).
The thermal profiles for quenching, Q o , and coarsening, Q C , as well as the ensuing microstructures, are depicted in Figure 7, relative to a standard braze cycle. Both exhibit centerline precipitation of γ-(Ni). The microstructure of the Q C specimens comprises elongated γ-(Ni) domains that traverse the bond, albeit nonpercolating, surrounded by silicide islands and a eutectic microstructure. The coarsening takes place rapidly and is complete after only a few minutes; longer coarsening treatments result in nearly identical microstructures (not shown). Local microhardness measurements conducted within the γ-(Ni) domains by using a Vickers indenter at a 200-g load revealed a hardness, H = 2.4 GPa, indicative of a yield strength, σ o ≈ 800 MPa.[15] This strength is lower than that inferred from measurements on the eutectic γ-(Ni) obtained by nanoindentation at much smaller penetrations, σ o ≈ 1.3 GPa.[7] This indentation size effect is attributed to the plasticity length scale.[16] In the ensuing analysis of ductile-phase toughening, the smaller value will be used for the large domains and vice versa.
4 Fracture Resistance
4.1 Experimental Methods
After brazing, double cantilever beam test configurations were machined by wire electrodischarge machining, followed by testing in displacement control in a servohydraulic frame instrumented with a load cell and a crack opening gage. Precracks were introduced using a Si3N4 wedge, while constraining with a transverse clamp, and then delineated by heat tinting at 600 °C for 15 minutes.[7] The fracture resistance was measured by wedge loading with the clamp removed.[7] Crack profiles were investigated by optical and electron microscopy. The fracture surfaces were characterized by scanning electron microscopy (SEM), and transverse features were revealed by creating local cross sections with a focused ion beam (FIB). The testing and characterization were performed on specimens subject to brazing at 1100 °C for 3 minutes and drop quenching (the Q o treatment), as well as others subjected to additional coarsening at 1015 °C for 10 minutes (designated Q C ).
4.2 Measurements and Observations
The fracture resistances measured for the two heat treatments are summarized in Table II. Evidently, both thermal treatments produce bonds substantially tougher than those made using conventional brazing. Combined examination of the polished sides and of the fracture surfaces reveals that the mechanisms inhibiting crack extension are comparable for the two microstructures (Q o and Q C ), albeit with some differences. A schematic (Figure 8) illustrates the predominant features.
For the quenched Q o microstructure, fracture is governed by a single dominant crack (Figures 9 and 10). Optical images of the side surfaces reveal that the crack propagates in a planar mode through the brittle intermetallics and intersects γ-(Ni) domains at two length scales (Figure 9(a)). At the larger scale, the crack traverses the percolating domains but, wherever possible, deviates around them. Higher resolution images indicate slip steps in the γ-(Ni), where it is intersected by the crack (Figures 9(b) and (c)). Some slip also occurs where the crack extends along the interfaces of the ductile domains (Figure 9(c)). The SEM images of the fracture surface (Figure 10) provide complementary information. The larger γ-(Ni) domains intersected by the crack plastically stretch and neck to a chisel point. Moreover, during this stretching process, localized, lateral cracks are induced in the surrounding intermetallic (Figure 10(a)). Those domains circumvented by the crack appear as domes on the fracture surface (Figure 10(a)). At higher resolution (Figure 10(b)), it is apparent that the smaller γ-(Ni) domains within the eutectic also exhibit plastic stretch, with chisel-point rupture, as reported previously.[7] Because the crack is planar, it is straightforward to conduct measurements of the plastically stretched primary ligaments on the fracture surface. For this purpose, the diagonals of the stretched ligaments are measured and an equivalent, circular area ascertained for each. These areas, deduced over a large region of the fracture surface (Figure 10(a)), provide the following ligament metrics: f = 0.07 ± 0.005 and R = 8.8 ± 0.2 μm. Cross sectioning using the FIB indicates that the ruptured ligaments exhibit plastic stretch, u c /R = 0.5 ± 0.07, such that the work of rupture parameter, χ ≈ 1.3.
In the coarsened, Q C microstructure, some aspects of the response differ (Figures 11 through 13). The lower resolution SEM images of the side surface (Figure 11(a)) indicate that the fracture path is nonplanar and, moreover, that an inelastic process zone develops on both sides of the crack, having width h ≈ 50 μm. Optical and higher resolution SEM images (Figures 11(b) and (c)) indicate that this zone comprises discrete microcracks in the intermetallic, with associated blunting where arrested by the γ-(Ni), accompanied by slip bands. The residual opening displacement of the microcracks is of order δ micro ≈ 0.5 μm.
At locations where the crack intersects the larger γ-(Ni) domains, plastic stretch is accompanied by intense slip bands in the contiguous γ-(Ni), causing them to fail by shear, rather than necking (Figure 12). The SEM images of the fracture surface (Figure 13) affirm that the rupture of the γ-(Ni) domains occurs by a shear mechanism. It remains to provide a rationale for the change in the rupture mechanism in the ligaments upon aging, from tensile necking to shear banding. The area fraction and width of domains intersected by the crack are estimated from the images as f ≈ 0.03 and 2R ≈ 30 μm. The plastic stretch on the verge of rupture is ascertained from the images on the side surface (Figure 12(b)) as u c /R ≈ 0.5, with a work of rupture again, χ ≈ 1.3.
4.3 Interpretation
The forgoing assessment suggests two contributions to the toughening: one from bridging and the other from a process zone (Figure 8).[14] The bridging contribution is straightforward to interpret through the foregoing measurements of the plastic stretch. For the quenched, Q o , microstructure, upon combining the inferred yield strength for the primary γ-(Ni) domains, σ o ≈ 800 MPa, with the ligament volume fraction and size yields a predicted toughening, \( \Updelta \Upgamma_{ss}^{\text{primary}} = 0.66 \pm 0.1{\text{ kJ/m}}^{ - 2} . \) This toughening is additive to that provided by the γ-(Ni) in the eutectic, previously determined as[7] \( \Updelta \Upgamma_{ss}^{\text{eutectic}} = 0.45{\text{ kJ/m}}^{2} . \) The total bridging contribution is thus \( \Updelta \Upgamma_{ss} = 1.1 \pm 0.2{\text{ kJ/m}}^{2} , \) appreciably lower than the measured toughness. The remainder is presumed to be due to the plastic dissipation in those γ-(Ni) domains circumvented by the crack, but not quantified.
For the coarsened, Q C , microstructure, the corresponding bridging contribution is somewhat smaller, \( \Updelta \Upgamma_{ss}^{\text{primary}} = 0.46{\text{ kJ/m}}^{ - 2} . \) Upon adding the toughening due to the γ-(Ni) in the eutectic, the total bridging contribution becomes \( \Updelta \Upgamma_{ss} = 0.9{\text{ kJ/m}}^{2} . \) In this case, a process zone contribution can be estimated using[14]
where ε pl is the inelastic strain at location y within the zone and h is the zone height. The opening displacements of the microcracks in the process zone suggest average plastic strains, \( \bar{\varepsilon }_{pl} \approx \delta_{\text{micro}} /h, \) whereupon the predicted toughening reduces to ΔΓprocess ≈ 2σ o δ micro. Based on the foregoing measurements of δ micro, this contribution to toughening becomes ΔΓprocess ≈ 0.8 kJ/m2. Thus, the total toughening due to both ductile-phase mechanisms at both length scales, ΔΓ ss ≈ 1.7 kJ/m2, accounts fully for the measured toughness.
While establishing a fully predictable contribution to toughening from the coarse ductile phases remains to be done, the foregoing assessment suggests that the bridging contribution is substantial. The implication is that, if percolation of the γ-(Ni) domains could be achieved by an appropriate thermal process, this contribution to the toughening could be increased further and greater robustness imparted to the joint.
5 Concluding Remarks
Counter to conventional wisdom, the deleterious influence of the intermetallic phases at the braze joint centerline has been mitigated by using very short brazing times. The resulting microstructure contains large γ-(Ni) domains that provide ductile-phase toughening. The development of this beneficial microstructure has been based on analysis of transient liquid-phase phenomena, as well as the pseudo-steady-state diffusive processes. The present heat treatment is illustrative of an approach that exploits an understanding of microstructure evolution for enhancing the robustness of brazed joints. Further toughening might be achieved by eliminating the massive silicide and, most importantly, by achieving percolation of primary γ-(Ni) across the joint. This might be realized by increasing the brazing temperature in order to eliminate the largest intermetallic particles, followed by heat treatments that enable γ-(Ni) percolation.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Philips, N.R., Levi, C.G. & Evans, A.G. Ductile-Phase Toughening of Brazed Joints. Metall Mater Trans A 40, 1413–1421 (2009). https://doi.org/10.1007/s11661-009-9818-0
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DOI: https://doi.org/10.1007/s11661-009-9818-0