Effect of M i n o r Elements on HotCracking Tendencies of Inconel 600 Minor-element additions, incorporated into welds by a powder-metallurgy-insert technique, have a significant effect on hot-cracking propensity as evaluated by a subscale Varestraint Test BY W. F. SAVAGE, E. F. NIPPES A N D G. M. G O O D W I N ABSTRACT. An investigation was undertaken to determine the effect of six minor elements, S, P, Si, M n , Ti and Al, on the hot-cracking propensity of Inconel, a solid-solution strengthened nickel-base alloy. In order to determine the effects of these six elements, a new weldability evaluation test, the "Tigamajig" test, was developed. An outgrowth of the "Varestraint" test, the Tigamajig test combines the advantages of its predecessor w i t h a reduced specimen size and ease of specimen preparation. A technique was used w h i c h allowed the preparation of a large number of specimens of systematically varied composition by the incorporation of compacted-and-sintered powder inserts containing the desired minorelement additions. boundaries and the subsequent formation of grain-boundary films. Manganese and Si were both found to reduce the detrimental effect of S, at least in part as a result of an increase in the solid-liquid interfacial energy. However, a significant Si-Mn interaction effect indicated that these elements were not as effective at reducing the effect of S w h e n both were present together. Titanium and Al also both had beneficial effects on hot-cracking propensity. It was proposed that the effect of Ti and Al, and in part the effect of M n and Si, was caused by the excellent deoxidizing capabilities of these four elements. A full factorial experiment was then performed, utilizing all of the 64 possible combinations of the six intentionally added minor elements. The entire testing program was duplicated at two levels of augmented strain to give an accurate estimate of error. W i t h the aid of the method of Yates and the analysis of variance, the significant effects of the six minor elements were determined for three cracking parameters: the total crack length, the maximum crack length, and the average crack length. Sulfur and P were found to be highly detrimental to all three of the cracking parameters. The effect of S and P was attributed to a high degree of segregation, and subsequent reduction in the effective solidus and liquidus, coupled w i t h a decrease in the solid-liquid interfacial energy, w h i c h permitted wetting of the grain and subgrain The hot-cracking susceptibility of an alloy is dependent upon its elemental composition, and upon the distribution of these elements within the material. Thus, even if t w o heats of material could be produced w i t h precisely the same overall composition (an impossibility in itself), these materials w o u l d not necessarily exhibit similar hot-cracking tendencies because of variations in the solute distribution. This distribution is dependent Introduction W. F. SAVAGE is Professor of Metallurgical Engineering and Director of Welding Research, and E. F. NIPPES is Professor of Metallurgical Engineering, Rensselaer Polytechnic Institute, Troy, N. Y. C. M. COODWIN, former Graduate Research Assistant at RPI, is now with the Metals and Ceramics Div., Oak Ridge National Laboratory, Oak Ridge, Tenn. upon the entire past history of the material, from the time the alloy was cast as an ingot, to the time that the welding is actually performed. Thus, it is futile to attempt to assign a meaningful cracking-susceptibility index to a particular alloy. However, one may attempt to explain the heatto-heat variations for a given alloy, and eventually conclusions may be drawn as to how to control the cracking susceptibility of that alloy. The Varestraint test' was developed at Rensselaer as a "universal" w e l d ability test. This test was designed to permit independent control of the welding input parameters used during testing and the degree of restraint to which the specimen is subjected. The "degree of restraint" was simulated by the application of a controlled augmented strain during welding. Thus, it was possible to use welding input variables which were similar to those used in commercial processes, and yet provide any desired level of restraint in a laboratory-scale specimen. Over the years, the Varestraint test has proven capable of discerning heatto-heat variations in a large variety of materials.'•- In fact, the Varestraint test has been so successful, that it seemed appropriate to employ a similar concept in a large-scale factorial experiment in order to study both the effects of individual elements and the interaction effects of many elements at once. Obviously, a testing program of this type naturally requires a large number of samples with a considerable number of compositional variations. This becomes a problem w i t h the original Varestraint test because of the consid- W E L D I N G RESEARCH S U P P L E M E N T I 245-s erable expense required to produce a large number of heats of material and fabricate sufficient samples for Varestraint testing of each heat. Therefore, a sub-scale test based on the augmented-strain concept was devised to utilize small, readily produced specimens whose composition could be varied as desired. This test was then used in a largescale, full-factorial experiment to determine the effect of minor elements on the hot-cracking susceptibility of Inconel 600. Object The objective of this experiment was to investigate the basic mechanisms involved in the phenomenon of w e l d metal hot-cracking in Inconel 600, and to determine the effect of six minor elements, normally present in this alloy, (S, P, Si, M n , Ti, and Al) on these mechanisms. Materials and Apparatus Preparation of the Basic Ternary Alloy High-purity (99.9 + %) Fe, Cr, and Ni powders were mixed in proportions corresponding to the basic ternary composition of Inconel and consolidated into 4 in. (102 mm) diam. rods, each 24 in. (610 mm) long, by air induction melting and casting in graphite molds. These rods were then welded together and vacuum consumable arc melted into 6 in. (152 mm) molds. To investigate the influence of the six minor elements on hot-cracking propensity, a full-factorial experimental design was chosen. 1 It was chosen to investigate the effects of the six elements at t w o levels of concentration in all possible combinations. The high-level aim composition for the six elements is given in Table 2. Since it was impractical to produce the 64 alloys required by remelting the basic ternary and preparing 64 "splitheats," a unique method, developed at RPI, was used for producing the experimental alloys. 4 In this method, the composition of a small volume within each plate of the basic ternary alloy was modified by the following technique: imens, as indicated by dashed lines in Fig. 1. 2. A series of three wide-weave GTA welding passes (sinusoidal weave pattern w i t h Vi in. (12.7 mm) peak-to-peak oscillation) were then made to melt and mix the insert w i t h an appropriate volume of the basic ternary alloy. Thus, the resulting specimen contains a remelted " p a d " of modified c o m p o sition with a reproducible pattern of microsegregation typical of a weld deposit made under controlled conditions. The solid lines in Fig. 1 represent the typical appearance of a specimen after the GTA remelting operation. 3. Atmospheric contamination was minimized by performing the GTA remelt operation in a high-purity Ar atmosphere w i t h i n a dry-box. Contamination by refractory or mold materials is impossible since the entire remelted zone is contained w i t h i n the basic ternary plate, w h i c h thus acts, in effect, as a "crucible." 1. An alloy insert, prepared by c o m pacting and sintering an appropriate mixture of suitable high-purity powders was inserted in a premachined groove along the centerline of the 6 X 6 in. (152 X 152 mm) spec- After the inserts had been GTA remelted into the base-metal plates, the plates were mechanically straightened, sectioned, and drilled, to provide five test specimens with the dimensions shown in Fig. 1. in. (152 X 152 X 6.3 mm). The c o m position of this material is given in Table 1. Preparation of the Modified Alloy Pads The resulting three ingots were then hot extruded into sheet bar and rolled into VA in. (6.35 mm) plate. This sheet bar was initially hot rolled to 5/16 in. (7.9 mm), followed by cold reduction of 20% to final thickness. The basic ternary material was prepared at Oak Ridge National Laboratory and was delivered to Rensselaer in the form of plates, each 6 X 6 X VA Table 1-Composition of High-Purity "Ternary" Base Material, wt-% Fe Cr Ni s p Si Mn 11.6 15.2 72.8 0.004 0.001 0.06 0.064 Ti Al C Cu H, N2 a, 0.02 0.03 0.003 0.014 0.0004 0.004 0.026 Table 2—High Level Aim Composition After Remelting, % s p Si 0.015 0.015 0.5 Mn Ti Al 246-s I A U G U S T 1977 1.0 0.5 0.5 Fig. 1-Schematic representation of Tigamajig sample preparation B o t h t h e t o p a n d b o t t o m surfaces o f each sample w e r e t h e n fly-cut to assure c o n s t a n t c r o s s - s e c t i o n a n d t o remove surface oxide. Sample t h i c k ness w a s m a i n t a i n e d in a n a r r o w r a n g e , n o m i n a l l y 0.250 i n . (6.35 m m ) . T h e 1 3 / 3 2 i n . (10.3 m m ) d i a m . h o l e s w e r e d r i l l e d in s u c h a m a n n e r t h a t t h e center of the w e l d deposit was located equidistant between the hole centers. Chemical Analyses T h e results o f t h e c h e m i c a l analyses o f t y p i c a l w e l d p a d s are g i v e n in T a b l e 3. A n asterisk (*) d e n o t e s t h e a i m c o m p o s i t i o n of an e l e m e n t . N o t e , f o r e x a m p l e , t h a t Insert 1 c o n t a i n s all six f a c t o r s at t h e i r l o w e r l e v e l s , Insert 64 c o n t a i n s all six f a c t o r s at t h e i r h i g h e r levels, a n d so o n . T h e s e c o m p o s i t i o n s may be c o m p a r e d w i t h the desired f u s i o n - z o n e c o m p o s i t i o n s g i v e n in T a b l e 2. The significance of the above analyses is best seen b y l o o k i n g at a t y p i c a l distribution of compositions obtained. Figure 2 is a h i s t o g r a m s h o w i n g t h e f r e q u e n c y of o c c u r r e n c e of a particular S c o n c e n t r a t i o n as a f u n c t i o n o f % S. I d e a l l y , this d i s t r i b u t i o n w o u l d s h o w o n e h a l f (32) o f t h e s a m p l e s at 0% S a n d t h e o t h e r half at t h e d e s i r e d n o m i n a l c o m p o s i t i o n , 0.015% S. T h e a v e r a g e h i g h level o f S c o n centration was then f o u n d by taking t h e average S c o n t e n t of those samples to w h i c h S was intentionally added. S i m i l a r l y , t h e average l o w e r level o f S c o n t e n t is d e t e r m i n e d f r o m those samples to w h i c h S was n o t i n t e n t i o n ally a d d e d . T h e n u m b e r s u s e d in t h e s e c a l c u l a t i o n s a r e i n d i c a t e d at t h e b o t t o m o f T a b l e 3. H i s t o g r a m s f o r o t h e r m i n o r - e l e m e n t a d d i t i o n s have b e e n p r e s e n t e d in a p r e v i o u s paper. 4 Description of the TIGAMAJIG* Test In t h e d e v e l o p m e n t o f a s u b - s c a l e Varestraint testing d e v i c e , an a t t e m p t was m a d e to preserve t h e desirable features of t h e original Varestraint device. The major modifications incorp o r a t e d in t h e n e w test w e r e : *A humorously applied nickname adopted for this version of the Varestraint test. Table 3—Composition of Typical Inconel W e l d Pads, wt-%—Asterisk (*) Indicates Element Intentionally Added Insert Fe Cr Ni 1 11 19 22 30 39 53 56 64 Avg. w i t h o u t element addition Avg. w i t h element addition 9.6: 9.54 9.92 9.23 9.34 8.97 9.99 9.55 8.76 14.8 14.4 14.8 14.5 14.8 14.6 14.7 14.7 14.4 74.5 74.7 74.5 75.0 74.4 73.4 72.3 74.6 74.5 Al Mn Cu 0.00 0.001 0.0005 0.001 0.001 0.0008 0.010* 0.004* 0.004* 0.07 0.07 0.23* 0.07 0.15* 0.30* 0.08 0.23* 0.32* 0.056 0.054 0.050 0.060 0.060 1.200* 1.400* 0.050 1.400* 0.02 ' 0.03 0.31* 0.03 0.01 0.21* 0.35* 0.33* 0.23* 0.03 0.01 0.21* 0.01 0.27* 0.22* 0.03 0.37* 0.23* 0.003 0.003 9.95 14.6 73.7 0.004 0.0013 0.072 0.093 0.014 0.03 0.0028 0.012 9.95 14.6 73.7 0.016 0.0097 0.294 1.331 0.32 0.25 0.0028 0.012 0.005 0.020* 0.004 0.004 0.016* 0.004 0.022* 0.014* 0.013* 0.003 0.002 0.016 0.016 0.01 0.014 0.014 0.01 0.01 0.01 0.01 1. A r e d u c t i o n in t h e s p e c i m e n size. 2. A w o r k a b l e m e t h o d o f i m p o s i n g suddenly applied, reproducible, augm e n t e d strain d u r i n g t h e p r o d u c t i o n of a G T A s p o t w e l d in t h e m o d i f i e d composition contained within the r e m e l t e d p a d d e s c r i b e d in t h e p r e vious section. The specimen geometry finally a d o p t e d is s h o w n in Fig. 1. N o t e t h a t it is o n l y 6 i n . (152 m m ) l o n g b y 1 i n . (25 m m ) w i d e w i t h a m a x i m u m thickness o f VA i n . (6.35 m m ) . T e s t i n g o f t h i s t y p e o f s p e c i m e n has b e e n performed s u c c e s s f u l l y o n sheet m a t e r i a l as t h i n as 0.060 i n . (1.5 m m ) , b u t f o r t h i s e x p e r i m e n t , all s a m p l e s w e r e n o m i n a l l y VA i n . (6.35 m m ) in t h i c k n e s s . N o t e f r o m Fig. 1 t h a t several s a m p l e s w i t h t h e same c o m p o s i t i o n c o u l d be m a c h i n e d f r o m e a c h 6 x 6 X VA i n . (152 X 152 X 6.4 m m ) p l a t e . This p e r mitted replication of t w o different testing conditions. T h e a c t u a l t e s t i n g is a c c o m p l i s h e d b y i n i t i a t i n g a s t a t i o n a r y G T A w e l d at the center of the specimen. After a l l o w i n g sufficient t i m e for the establishment of a p p r o x i m a t e l y steady-state thermal conditions, the desired augm e n t e d s t r a i n is s u d d e n l y a p p l i e d , a n d t h e arc c u r r e n t i n t e r r u p t e d . T h e s t r a i n is a p p l i e d b y l o a d i n g t h e s a m p l e in b e n d i n g as a f i x e d - e n d b e a m , a n d t h e approximate longitudinal augmented s t r a i n in t h e o u t e r f i b e r s c a n b e c a l c u lated f r o m t h e r e l a t i o n s h i p : e St/2R w h e r e t h e t a n g e n t i a l strain o n t h e t o p surface o f t h e s p e c i m e n , e , is g i v e n as a f u n c t i o n o f s p e c i m e n t h i c k n e s s , t, a n d b e n d i n g r a d i u s , R. Because o f t h e t h e r m a l c o n d i t i o n s p r o d u c e d b y t h e l o n g - d u r a t i o n , stationary G T A w e l d , a n d t h e essentially LOW AVG = 0.0 0 4 tn UJ a. 30 2 ' tn O 20 rr Lit CD HIGH AVG =0.016 | 2 - i .0 n • y k2 y 71,.,, Ar AA. / 0 Fig. 2—Distribution J 7] [7-1 wA i O.Ol L"2 _ _ i _ -J22L. '', 0.02 0.03 0.04 % SULFUR of S concentrations in Inconel Tigamajig samples f* # 1 f Fig. 3—Photograph ot a portion majig test device WELDING of the Tiga- R E S E A R C H S U P P L E M E N T I 247-s transverse orientation of the solidification substructure which already exists in the remelted pad w i t h respect to the augmented strain, the test is extremely sensitive to variations in cracking susceptibility. The Tigamajig test device is shown in Fig. 3; it consists of four major c o m p o n e n t s - a pneumatic air cylinder, a loading ram and die block assembly, a sample holding fixture, and a torch assembly. The arc duration and current selected w i l l , of course, depend upon the material under consideration and the specimen thickness; it is desirable to choose these variables such that steady-state thermal conditions are approached before loading occurs. Under such conditions, the transverse thermal gradients established are relatively gradual and the severity of cracking is enhanced. In general, hot cracking occurs over a relatively narrow range of temperatures in the vicinity of the solidus, and a gradual temperature gradient expands the region exposed to the cracking-temperature range at the time of application of the augmented strain. providing a single replication of the entire experiment. To minimize the effect of systematic errors, the actual order of testing of each of the samples within a set was selected from a table of random numbers.' Immediately prior to testing, each sample was thoroughly degreased w i t h acetone. Shielding gas was allowed to prepurge for at least 30 s before the automated sequence was initiated, and the delay time between samples was maintained such that the radius die blocks and other parts of the Tigamajig device were not allowed to overheat. Each of the four sets of 64 samples was tested as a unit, and the data were read from each set before testing began on the following set. To minimize the effect of surface oxidation upon the measurement of cracking parameters, the as-welded surface of each of the specimens was cleaned prior to its measurement with the following pickling solution: 700 parts H , 0 , 250 parts cone. (70%) H N O „ and 50~ parts cone. (52%) HF. The samples were immersed in the solution at 130 F (54 C) and swabbed for 1-3 min, followed by a rinse in cold water. Procedure Tigamajig Testing Procedure Data Accumulation The sample-preparation procedure w h i c h was discussed in the previous section yielded five essentially identical test specimens of each of the 64 different nominal compositions. The results of this work are based on Tigamajig testing of four of these sets of samples, w i t h the remaining set of samples being utilized to establish suitable test conditions. All Tigamajig testing was performed under the standard conditions shown in Table 4. Arc current and voltage were continually monitored and maintained to within ± 5 % of the nominal values reported. Two nominal levels of augmented strain—1 ?6 and 2%—were investigated in the experiment, w i t h t w o samples being tested at each strain level, thus The cracking data were measured from the specimen surface using a stereo binocular microscope at a magnification of X40 and a filar eyepiece w i t h 200 divisions, 0.5 mil (0.013 mm) per division. Throughout this investigation, the only cracks considered were those which actually touched the fusion boundary between the Tigamajig weld nugget and the weld pad. Referring to the schematic representation of the Tigamajig specimen shown in Fig. 1, note that, to be included in the data, a crack had to touch the circular fusion boundary of the Tigamajig test nugget in the center of the specimen. Thus, crater cracks w i t h i n the Tigamajig nugget were ignored, as were cracks in remote regions of the weld pad which formed during the GTA-remelting process used to prepare the specimens. A photomacrograph of a typical Tigamajig specimen, showing numerous hot cracks, is presented in Fig. 4 in the polished-and-etched condition at X9.5. The plane of polish of this metallographic section is approximately 0.005 in. (0.13 mm) below the original sheet surface. In Fig. 4, the structure of the high-purity base metal is evident at both sides of the wide weave GTA bead. The oscillation patterns in this wide-weave bead, and the epitaxial growth from the base metal can be readily identified. The diameter of the GTA spot w e l d is clearly delineated by a narrow region of planar growth. Also evident is the epitaxial growth of the spot w e l d from the wide-weave bead. In addition, the more rapid cooling during solidification of the GTA spot weld has resulted in a finer subgrain structure than that of the wide-weave bead. The discontinuity at the center of the photomacrograph is a consequence of the shrinkage void which occurred during the solidification of the GTA spot. The length of each of the fusionboundary cracks was recorded, so that Table 4-Standard Conditions for Tigamajig Testing of Inconel Arc Arc Arc Arc current time voltage length Electrode Shielding gas Power supply 90 A dcsp 30 s 11 V 1/4 in. (6.4 mm) measured cold 1/8 in. (3.2 mm) EWTh, ground to an incl. angle of 90 deg 25 cfh (18.9 liters/min.) Ar prepurified grade (99.998% min.) 3-phase rectifier 248-s I A U G U S T 1977 Fig. 4—Example of hot cracking in a specimen tested in the Tigamajig device, polished-andetched, X9.5 Table 5—Total Crack Length (TCL), M a x i m u m Crack Length (MCL), and Average Crack Length (ACL) for Inconel Tigamajig Specimens ( 1 % Augmented Strain) lsert 1 2 3 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 Alloy additions S P Si Mn Ti Al S-P S-Si S-Mn S-Ti S-AI P-Si P-Mn P-Ti P-AI Si-Mn Si-Ti Si-AI Mn-Ti Mn-AI Ti-AI S-P-Si S-P-Mn S-P-Ti S-P-AI S-Si-Mn S-Mn-Ti S-Ti-AI S-Si-Ti S-Si-AI S-Mn-AI Avg. TCL, mils Avg. MCL, mils Avg. ACL, mils 301 872 524 432 330 206 304 951 636 360 735 757 466 294 319 524 234 240 332 155 104 196 640 600 1069 962 316 336 468 555 524 316 16 194 32 22 20 10 18 227 32 22 105 93 22 18 17 20 24 26 24 14 14 16 174 65 196 153 24 22 48 108 27 20 10 41 12 10 8 6 8 40 12 10 19 24 10 8 10 10 10 8 10 8 8 8 20 15 35 29 11 9 14 18 11 8 for each sample, the f o l l o w i n g p a r a m eters w e r e o b t a i n e d : 1. T o t a l C r a c k L e n g t h (TCL)-The s u m of t h e l e n g t h s of all c r a c k s m e a s u r e d in a s p e c i m e n . 2. M a x i m u m C r a c k L e n g t h ( M C L ) — T h e l e n g t h o f t h e s i n g l e largest c r a c k observed for a particular specimen. Results T h e e f f e c t s w h i c h w i l l be d i s c u s s e d w e r e d e t e r m i n e d b y a p p l i c a t i o n of t h e m e t h o d o f Yates, a n d t h e s i g n i f i c a n c e of t h e s e e f f e c t s w a s e s t i m a t e d b y t h e analysis of v a r i a n c e . ' ' " O n l y t h o s e e f f e c t s d e t e r m i n e d t o b e s i g n i f i c a n t at t h e a = 0 . 1 % l e v e l are c o n s i d e r e d i n t h e d i s c u s s i o n of c r a c k i n g p a r a m e t e r s . This h i g h level o f s i g n i f i c a n c e w a s o b t a i n e d since the entire experiment w a s r e p l i c a t e d , p r o v i d i n g an e s t i m a t e 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 Alloy additions P-Si-Mn Si-Mn-Ti P-Mn-Ti P-Si-Ti P-Mn-AI P-Si-AI Si-Mn-AI P-Ti-AI Si-Ti-AI Mn-Ti-Al Si-Mn-Ti-AI P-Mn-Ti-AI P-Si-Ti-Al P-Si-Mn-AI P-Si-Mn-Ti S-Mn-Ti-AI S-Si-Ti-Al S-Si-Mn-AI S-Si-Mn-Ti S-P-Ti-AI S-P-Mn-AI S-P-Mn-Ti S-P-Si-AI S-P-Si-Ti S-P-Si-Mn P-Si-Mn-Ti-AI S-Si-Mn-Ti-AI S-P-Mn-Ti-AI S-P-Si-Ti-AI S-P-Si-Mn-AI S-P-Si-Mn-Ti S-P-Si-Mn-Ti-AI Avg. TCL, mils Avg. MCL, mils Avg. ACL mils 362 194 174 217 329 433 242 286 202 149 184 246 192 304 274 306 392 247 344 724 429 450 912 840 446 214 216 402 506 456 383 338 35 20 18 26 22 28 26 17 22 16 28 20 21 34 24 21 24 29 18 84 30 26 117 94 26 21 20 22 53 26 22 24 12 10 10 11 9 12 12 8 10 9 10 9 10 16 9 10 12 12 8 20 12 12 21 16 10 12 9 10 13 10 10 11 Table 6—Summary of Results—Total Crack Length (a = 0.1%) Treatment combination 1% strain 3. A v e r a g e C r a c k L e n g t h ( A C L ) - T h e l e n g t h o f t h e average c r a c k in a p a r t i c ular s p e c i m e n , f o u n d b y d i v i d i n g t h e TCL by t h e t o t a l n u m b e r o f cracks. To m i n i m i z e the effects of h u m a n error, t w o o b s e r v e r s m e a s u r e d a n d recorded the cracking data i n d e p e n d e n t l y f o r e a c h set o f d u p l i c a t e s p e c imens. The average data o b t a i n e d for t h e 1 % a u g m e n t e d strain are p r e s e n t e d as T a b l e 5 f o r all 64 test c o m p o s i tions. Inse 2% strain Effect S P S-Si Ti S-Mn Mn Mean 26.5 12.6 -7.0 -10.9 S P S-Si-Mn Si Ti S-Si S-Mn Mn Mean 29.8 14.2 11.2 -13.6 -14.1 -15.2 -16.4 -20.1 -13.1 -21.6 o f e r r o r b a s e d o n 64 s e p a r a t e c o m p a r i sons f o r e a c h p a r a m e t e r . Total Crack Length A s u m m a r y of the significant effects o b t a i n e d f o r t o t a l c r a c k l e n g t h at t h e t w o s t r a i n levels is s h o w n i n T a b l e 6. Note immediately the f o l l o w i n g gene r a l i t i e s : t h e t o t a l crack l e n g t h at 2% a u g m e n t e d s t r a i n s h o w s a 50% i n crease o v e r t h e v a l u e at 1 % s t r a i n . T h i s indicates that a l t h o u g h the total crack WELDING Best value, mils 745 405 675 170 398 194 412 1167 583 514 569 300 767 690 516 636 l e n g t h vs. % a u g m e n t e d s t r a i n c u r v e is f l a t t e n i n g o u t , 2% s t r a i n is still b e l o w "saturation level" for total crack l e n g t h . This is also a t t e s t e d b y t h e fact t h a t t h e r e are m o r e s i g n i f i c a n t e f f e c t s at 2% t h a n at 1 % a u g m e n t e d s t r a i n , i.e., it w a s a d v a n t a g e o u s t o test at t h e h i g h e r strain l e v e l as far as t h e t o t a l c r a c k - l e n g t h p a r a m e t e r is c o n c e r n e d . H o w e v e r , it is p o s t u l a t e d o n t h e basis o f past e x p e r i e n c e t h a t a f u r t h e r increase in s t r a i n m i g h t c a u s e t h e t o t a l RESEARCH S U P P L E M E N T I 249-s crack l e n g t h t o a p p r o a c h a s a t u r a t i o n v a l u e . If t h i s w e r e t h e case, f u r t h e r increase in a u g m e n t e d s t r a i n w o u l d n o t be l i k e l y t o p r o v i d e a n y m o r e i n f o r m a t i o n a n d m i g h t , in f a c t , fail t o s h o w s o m e of t h e e f f e c t s f o u n d s i g n i f i c a n t at t h e l o w e r a u g m e n t e d strain levels. c o m b i n a t i o n as w h e n t h e y are p r e s e n t separately. 5. P is d e t r i m e n t a l , e s p e c i a l l y in t h e presence of other i n t e n t i o n a l " i m p u r i ty" additions. 6. Si a n d Ti are b o t h b e n e f i c i a l f o r r e d u c i n g the total crack length. To summarize the significant effects o n t o t a l c r a c k l e n g t h at b o t h levels o f a u g m e n t e d strain: M a x i m u m Crack Length 1. S has a s t r o n g d e t r i m e n t a l effect. 2. T h e d e t r i m e n t a l e f f e c t of S is m i n i m i z e d by t h e a d d i t i o n of M n . 3. Si is also b e n e f i c i a l in m i n i m i z i n g t h e d e t r i m e n t a l e f f e c t o f S. 4. Si a n d M n d o n o t w o r k as w e l l in The effects w h i c h w e r e d e t e r m i n e d t o be s i g n i f i c a n t o n t h e basis o f t h e m a x i m u m c r a c k l e n g t h are s u m m a r i z e d in T a b l e 7. Before considering the data, s o m e g e n e r a l c o m m e n t s s h o u l d be m a d e a b o u t b o t h levels o f a u g m e n t e d s t r a i n : t h e r e are 16 e f f e c t s f o u n d t o b e s i g n i f - Table 7—Summary of Results—Maximum Crack Length (a = 0.1%) Treatment combination 1% strain 2% strain S P S-Mn-Al S-P Si-Mn S-Si-Mn Si P-Mn S-P-Mn Ti Mn-AI Al S-AI S-Si Mn S-Mn Mean S S-Si-Mn Si-Mn Si S-Si Mn S-Mn Mean Effect 45.4 18.4 15.0 14.7 14.2 12.8 -12.3 -12.6 -12.8 -13.5 -15.8 -17.6 -17.9 -19.4 -40.5 -41.6 46 30 30 -24 -31 -39 -44 Best value, mils 132 11 13 191 46 45 13 42 57 0 8 39 98 74 38 49 44 171 33 32 27 56 25 28 49 Table 8—Summary of Results—Average Crack Length (a = 0.1%) Treatment combination 1% strain 2% strain 250-s I AUGUST 1977 Effect Best value, mils S Si-Mn S-Si-Mn P Si Ti S-Si Mn S-Mn Mean 3.13 1.69 1.28 1.22 -1.16 -1.22 -2.13 -2.69 -2.91 27.9 11.4 10.1 11.4 10.1 6.6 15.4 8.6 10.8 13.0 S Si-Mn S-Si-Mn S-Si Mn S-Mn Mean 3.1 2.4 2.2 -2.8 -3.0 -3.8 32.3 15.7 13.1 17.5 9.7 9.5 15.0 icant at t h e a = 0 . 1 % level f o r 1 % s t r a i n , w h i l e t h e r e are o n l y 7 e f f e c t s s i g n i f i c a n t at t h e 0 . 1 % l e v e l w i t h 2% strain. N o t e t h a t d o u b l i n g t h e s t r a i n o n l y c a u s e d an i n c r e a s e in t h e m e a n m a x i m u m c r a c k l e n g t h f r o m 44 m i l s t o 49 m i l s . T h i s b e h a v i o r a p p e a r s t o i n d i cate t h a t a b o v e a c e r t a i n strain level t h e m a x i m u m c r a c k l e n g t h is m o r e dependent on the thermal gradients w h i c h exist in t h e T i g a m a j i g s p e c i m e n than o n t h e level of a u g m e n t e d strain. Thus, the maximum crack length p r o v e d t o b e an e x t r e m e l y s e n s i t i v e i n d i c a t o r o f c r a c k i n g t e n d e n c i e s at t h e 1 % a u g m e n t e d s t r a i n l e v e l , b u t less e f f e c t i v e at t h e 2% s t r a i n l e v e l . To s u m m a r i z e t h e effects o n m a x i m u m crack l e n g t h : 1. S has a d e t r i m e n t a l e f f e c t o n t h e m a x i m u m crack length. 2. T h e e f f e c t is r e d u c e d b y t h e a d d i t i o n o f e i t h e r M n or Si, w i t h M n b e i n g more effective. 3. T h e b e n e f i c i a l e f f e c t o f e i t h e r M n or Si is r e d u c e d w h e n b o t h e l e m e n t s are p r e s e n t t o g e t h e r . 4. P has a d e t r i m e n t a l e f f e c t , e s p e c i a l l y in t h e p r e s e n c e o f S. 5. M n h e l p s t o r e d u c e t h e e f f e c t of P. 6. Ti a n d Al both reduce the maximum crack l e n g t h , t h e latter t h r o u g h an i n t e r a c t i o n w i t h S. Average Crack Length T h e s i g n i f i c a n t e f f e c t s o n t h e average c r a c k l e n g t h are s u m m a r i z e d in T a b l e 8. N o t e t h a t , as w a s t h e case f o r the m a x i m u m - c r a c k - l e n g t h considerat i o n , m o r e s i g n i f i c a n t e f f e c t s are f o u n d at t h e 1 % t h a n at t h e 2% a u g m e n t e d strain l e v e l . T h e six e f f e c t s s i g n i f i c a n t at t h e a = 0 . 1 % l e v e l f o r 2% s t r a i n are t h e s a m e as t h e first six s i g n i f i c a n t e f f e c t s at 1 % s t r a i n ; t h u s it a p p e a r s t h a t t h e a d d i t i o n a l strain c l o u d s t h e issue, decreasing the significance of s o m e effects w h i c h a p p e a r e d at t h e l o w e r a u g m e n t e d strain l e v e l . N o t e t h a t t h e mean v a l u e of t h e average crack l e n g t h o n l y increases f r o m 13 t o 15 m i l s w h e n t h e strain level is i n c r e a s e d f r o m 1 % t o 2%. To s u m m a r i z e the effects o n t h e average c r a c k l e n g t h : 1. S has t h e s t r o n g e s t d e t r i m e n t a l effect. 2. T h e d e t r i m e n t a l e f f e c t o f S is r e d u c e d m o s t e f f i c i e n t l y by t h e p r e s e n c e of M n . 3. Si is also e f f e c t i v e at r e d u c i n g t h e d e t r i m e n t a l e f f e c t o f S. 4. As w a s seen f o r t h e case o f t o t a l crack length and m a x i m u m crack l e n g t h , Si a n d M n h a v e an a d v e r s e s y n e r g i s t i c e f f e c t , a n d t h u s are less e f f e c t i v e in c o m b i n a t i o n t h a n w h e n e a c h e l e m e n t is p r e s e n t s e p a r a t e l y . 5. P is seen to have a detrimental effect. 6. Ti has a beneficial effect, as was also seen for both of the other cracking parameters. Discussion of Results In general, it is seen that all three of the cracking parameters considered are significant indicators of cracking propensity. For this alloy, the maximum crack length at 1% augmented strain appears to be the most sensitive indicator of cracking tendencies, showing at least twice as many effects significant at the a = 0.1% level as either of the other parameters. Note, however, that coupled w i t h this high sensitivity is a high degree of scatter, so that it w o u l d be extremely risky to base conclusions upon only a few measurements of the maximum crack length. In general, if only a few specimens are available, more valid conclusions may be formed from measurements of the total crack length and/or average crack length. It should be noted that the maximum crack length is highly sensitive to the temperature gradient present at the instant of straining. In fact, it appears that the maximum crack length exhibits a saturation value directly related to the distance from the weld pool to a point where the temperature falls below the effective solidus of the segregated boundary experiencing cracking. Once sufficient augmented strain is imposed to propagate a crack to this point, a further increase in strain has little effect on maximum crack length. Therefore, in all cases, care must be taken to ensure that the testing is performed below this saturation strain level for the material under investigation. Note also that the saturation strain may have a different value for each of the cracking parameters considered. For example, in this experiment, there was a greater number of significant effects on the total crack length at the 2% than at the 1 % augmented strain level, while the opposite was true for both the maximum crack length and the average crack length. For all three of the cracking parameters considered, S had by far the strongest detrimental effect. Some of the reasons for this strong effect of S may be deduced from the Ni-S binary phase diagram. The addition of S to Ni causes a drastic reduction in both the liquidus and solidus temperatures. Furthermore, the average distribution coefficient*, kave., is approximately *The distribution coefficient, k, is defined as k = Q/C,., where Q is the composition of a solid in equilibrium with a liquid of composition C,.. 0.0005. Thus, -during solidification, even a weld w i t h an extremely low nominal S content may develop segregated areas which are high in S and therefore have a correspondingly low melting point. Such regions are particularly prone to cracking w h e n subjected to either a thermally induced or an augmented strain at temperatures near or above their effective solidus temperature. A typical hot crack in a sample containing S as an intentional addition is shown in Fig. 5. This photomicrograph was taken of the etched surface utilizing Normarski phase contrast. The fusion boundary between the Tigamajig nugget on the left and the weld pad on the right is readily evident. Also note that there are second-phase particles, probably oxides, in both the GTA spot fusion zone and the weld pad. The inclusions tend to be located along grain and subgrain boundaries produced during solidification in both instances. Thus, the slow cooling w h i c h caused the coarser substructure in the weld pad is probably the explanation for the larger inclusions apparent in this region as well. The portion of the hot crack w i t h i n the GTA spot weld in Fig. 5 proceeds along grain and subgrain boundaries, as did all such cracks observed in this investigation. It is in these last regions to solidify that one w o u l d expect to find segregated those elements such as S which have a distribution coeffi- cient, k, less than unity. Therefore, this work confirms the classical theory that S causes hot cracking by lowering the liquidus and solidus temperatures of the regions in which segregation occurs. The detrimental effect of P on cracking might also be anticipated from inspection of the Ni-P binary diagram, w h i c h contains a eutectic system with an average distribution coefficient, kavK., considerably less than unity. Thus, the effect of P is somewhat similar to that of S. It is interesting to note there is a beneficial P-Mn interaction effect on the maximum crack length at 1% augmented strain, indicating that M n is beneficial in minimizing the effect of P as well as that of S. Note that there is also a detrimental S-P interaction effect. It is probable that the Ni-S-P ternary diagram, if it were available, would show even more drastic reductions in liquidus and solidus temperatures and smaller distribution coefficients than either binary system, indicating that greater degrees of segregation w o u l d occur when S and P are present together. It is proposed, however, that S and P have an additional effect which promotes the formation of hot cracks. Figure 6 shows the etched view, utilizing Normanski phase contrast, of a crack in the specimen containing additions of S, P, and Ti. Both the location and morphology of this particular crack are unique and deserve Fig. 5—Typical Hot Crack in specimen containing S (Wazau's Etch), Normarski phase contrast, X 700 (reduced 49% on reproduction) Fig. 6—Crack at weld pad fusion line in specimen containing S, P, and Ti (Wazau's Etch), Normarski phase contrast, XlOO (reduced 50% on reproduction) W E L D I N G RESEARCH S U P P L E M E N T I 251-s special c o n s i d e r a t i o n . N o t e at t h e e x t r e m e r i g h t t h e f u s i o n b o u n d a r y b e t w e e n the w e l d pad a n d t h e base m a t e r i a l . T h e r e g i o n to t h e l e f t o f t h i s l i n e i n Fig. 6 is t h e " p u r e " w r o u g h t t e r n a r y base m a t e r i a l , w h i l e t h e area t o t h e r i g h t o f this l i n e c o n t a i n s i n t e n t i o n a l a d d i t i o n s of S, P, a n d Ti. As s h o w n in Fig. 6, t h e h o t c r a c k has p r o g r e s s e d a p p r o x i m a t e l y 0.085 i n . (2.16 m m ) (8.5 i n . (216 m m ) at X100) into the pure ternary material a l o n g a n e t w o r k of g r a i n b o u n d a r i e s . This particular t r e a t m e n t c o m b i n a t i o n , S-P-Ti, h a d n e a r l y t h e h i g h e s t p o s s i b l e best v a l u e f o r c r a c k i n g t e n d e n c i e s a n d w a s t h e o n l y o n e o f 64 t r e a t m e n t c o m b i n a t i o n s w h i c h r e s u l t e d in c r a c k i n g in this r e g i o n o f t h e s p e c i m e n s d u r i n g t h e G T A - r e m e l t i n g passes. A m e c h a n i s m by w h i c h s u c h a c r a c k c o u l d f o r m m a y be s u m m a r i z e d as f o l l o w s : t h e p r o g r e s s of t h e G T A p r o d u c i n g t h e w e a v e b e a d results in h i g h l y s e g r e g a t e d g r a i n b o u n d a r i e s in t h e w e l d p a d w h i c h , as s h o w n b y p r e v i o u s w o r k at R P I , ' 8 m u s t be c o n t i g u o u s w i t h t h e b o u n d a r i e s in t h e base m e t a l f r o m w h i c h t h e g r o w t h w a s e p i t a x i a l l y n u c l e a t e d . If c e r t a i n e n e r g y c o n d i t i o n s are s a t i s f i e d , t h e s e g r e g a t e d l i q u i d , r i c h in S a n d P, w i l l w e t t h e boundaries, forming a liquid film. The energy c o n d i t i o n s w h i c h must b e satisfied are s h o w n in Fig 7; in o r d e r for l i q u i d to w e t the grain b o u n d a r y (i.e., f o r 0 = 0 ) , t h e g r a i n - b o u n d a r y e n e r g y , a s s , m u s t be g r e a t e r t h a n t w i c e the liquid-solid interfacial energy, a S L —that is, t h e ratio a^./a^ must be less t h a n or e q u a l t o o n e - h a l f . B o r l a n d " suggests t h a t l o w v a l u e s of this r a t i o are e x t r e m e l y h a r m f u l , s i n c e n e a r l y c o n t i n u o u s f i l m s are f o r m e d a l o n g t h e b o u n d a r i e s . Ratios h i g h e r t h a n 0.5 are beneficial, Borland points o u t , because GRAIN s h o w e d t h i s d i s t i n c t i v e flat p u d d l e surface represented the following e i g h t t r e a t m e n t c o m b i n a t i o n s : S, S-P, S-Al, S-Ti, S - A I - T i , S-P-Ti, S-P-AI, a n d S-P-Ti-AI. N o t e t h a t t h i s g r o u p r e p r e s e n t s all o f the possible treatment c o m b i n a t i o n s w h i c h c o n t a i n S, a n d yet at t h e s a m e t i m e d o n o t c o n t a i n e i t h e r M n or Si. O n e of the consequences of such a p u d d l e c o n t o u r is seen f r o m the e n e r g y c o n s i d e r a t i o n s s h o w n in Fig. 8. N o t e t h a t , as t h e p u d d l e surface c o n t o u r b e c o m e s f l a t t e r (i.e., as t h e angle Q approaches 0 deg, the angle a a p p r o a c h e s 180 d e g ) , t h e m a x i m u m value w h i c h the liquid-solid interfacial energy, aLS, may have u n d e r e q u i l i b r i u m c o n d i t i o n s m u s t be d e c r e a s e d , s i n c e at e q u i l i b r i u m , b y t h e l a w o f sines: t h e l i q u i d is t h e n r e s t r i c t e d to g r a i n edges a n d c o r n e r s . It is o b v i o u s t h a t t h e r a t i o a S I . / a s s m u s t h a v e b e e n less t h a n 0.5 in t h i s case b e c a u s e l i q u i d r i c h i n S a n d P has penetrated along the grain boundaries in t h e u n m e l t e d base m e t a l . T h i s p e n e tration process was u n d o u b t e d l y a i d e d b y t h e l o n g i t u d i n a l s h r i n k a g e stresses w h i c h w o u l d be transverse to t h e grain boundaries being penetrated. W i t h e a c h successive pass o f t h e arc, t h e s i t u a t i o n is w o r s e n e d as t h e o n e b a c k - f i l l e d c r a c k p r o v i d e s l o c a l stress relief for s u r r o u n d i n g grain b o u n d a r i e s a n d g r o w s p r o g r e s s i v e l y larger as t h e plate attains higher a n d higher t e m p e r a t u r e s . T h e S- a n d P-rich l i q u i d t h u s proceeds farther each t i m e before e n c o u n t e r i n g t h e effective solidus isotherm. A c c o r d i n g to this reasoning, any e l e m e n t s , s u c h as P a n d S, w h i c h l o w e r t h e s u r f a c e free e n e r g y o f a l i q u i d solid interface t e n d to increase the hot-cracking propensity and become t h e m o r e d e t r i m e n t a l if t h e i r d i s t r i b u t i o n c o e f f i c i e n t is s m a l l as w e l l . O n e further observation should be m e n t i o n e d s i n c e it s u p p o r t s t h e p r o posed m e c h a n i s m of f o r m a t i o n of the crack s h o w n in Fig. 6. It w a s n o t e d d u r i n g t h e process o f T i g a m a j i g testi n g , t h a t t h e r e w a s a w i d e v a r i a t i o n in the surface c o n t o u r of t h e GTA spot f u s i o n z o n e . In m o s t o f t h e s p e c i m e n s , the center of the t o p surface of the fusion zone was depressed, and the material displaced f r o m this center region was " m o u n d e d " up a r o u n d the e d g e o f t h e c i r c u l a r G T A s p o t w e l d , as i n d i c a t e d in Fig. 8B. Eight of t h e specimens, h o w e v e r , s h o w e d a r e l a t i v e l y flat p u d d l e s u r f a c e c o n t o u r , as i n d i c a t e d s c h e m a t i c a l l y in Fig. 8A. T h e e i g h t s p e c i m e n s w h i c h ar.s a,. v aSv sin a sin /? sin Y w h e r e a L S , a,, v a n d a s v are t h e s u r f a c e free energies of the liquid-solid, liquid-vapor, and solid-vapor interfaces, r e s p e c t i v e l y , a n d a, ji, a n d y ate t h e angles as s h o w n in Fig. 8. The fact that o n l y specimens c o n t a i n i n g S in t h e a b s e n c e o f b o t h M n a n d Si e x h i b i t e d flat p u d d l e c o n t o u r s provides qualitative support for the argument that S lowers the liquid-solid interfacial energy. Furthermore, o n t h e basis o f t h e c h a n g e in s u r f a c e c o n t o u r in t h e p r e s e n c e o f e i t h e r M n or Si, it appears h i g h l y likely that b o t h these e l e m e n t s are c a p a b l e o f i n c r e a s i n g t h e surface free energy of t h e s o l i d - l i q u i d interface, thereby m i n i m i z i n g b o u n d ary p e n e t r a t i o n a n d s u b s e q u e n t c r a c k ing. T h i s a r g u m e n t is e q u a l l y v a l i d in explaining t h e effect of these e l e m e n t s on cracking occurring within the highly s e g r e g a t e d s t r u c t u r e in t h e r e m e l t e d A 'sv a GRAIN BOUNDARY ss LIQUID GRAIN <ASL ^ss Fig. 7—Schematic representation grain-boundary wetting Fig. 8 (right)-Schematic 252-s I A U G U S T 1977 B < ~ 2 ot energy conditions view of Tigamajig required fusion-zone for surface contour _. ___ S r / V JI ' weld pad during Tigamajig t e s t i n g Figs. 5 and 6. In the case of Fe-base alloys, Kiessling and Westman"' report that the tendency for MnS to penetrate grain boundaries increases w i t h decreasing M n S / O , ratio. This implies that O lowers the surface free energy of MnS, and, presumably, of S-rich liquids in general. The oxygen content of the weld pads analyzed ranged from 0.0097 to 0.028 wt%, presumably as a consequence of the surface oxides present on the powders used in producing the air-melted base metal and those used in producing the inserts. Thus, if a similar S-O interaction occurs for Inconel, the beneficial effects of M n , Si, Ti, and Al could also be in part a result of their strong deoxidizing capability. Unfortunately, no data are available currently on the amount of dissolved and combined O present in the weld pads, so the hypothesis cannot be verified at this time. The Si-Mn and S-Si-Mn interactions are more difficult to explain, unless the simultaneous presence of Si and M n results in a lower solid-liquid surfacefree energy than is present w i t h M n alone. If the effect of a Si-Mn interaction lowering the surface free energy were to counteract part of the beneficial effects of Si on the dissolved O and of M n when alone on the liquidsolid surface free energy, the observed effects could be rationalized. Conclusion The following conclusions were drawn during the evaluation of the effect of six minor alloying elements, normally present in Inconel 600, on the hot-cracking propensity of the alloy. Method of Testing 1. The Tigamajig test was found to be a useful test for determining the susceptibility of Inconel to hot cracking, combining the virtues of the previously developed Varestraint test w i t h a reduced specimen size and greater ease of specimen preparation. 2. It was found that the composition of Tigamajig samples could be altered and controlled w i t h i n reasonable limits by the introduction of powder inserts containing the desired additions and using a series of wideweave GTA passes to melt and mix the additions w i t h the base metal. 3. The weave-bead technique used to incorporate the powder inserts produced a reproducible solidification substructure w h i c h was particularly sensitive to hot cracking due to the orientation of substructure boundaries w i t h respect to the strains imposed on the Tigamajig specimen. Choice of Cracking Parameters 1. The maximum crack length was seen to be the most sensitive indicator of cracking propensity at 1 % augmented strain w i t h the accompanying disadvantage that this parameter shows a high degree of experimental scatter. When a large number of specimens are available, the maximum crack length w i l l reveal more significant effects, but if few samples are available, the total crack length or the average crack length will give a more reliable estimate of cracking sensitivity. 2. W i t h regard to the strain levels, it was found that information concerning the effects on maximum crack length and average crack length is lost if testing is performed above the 1 % augmented strain level, whereas increasing the augmented strain above this level produces little new information about the total crack length. Effect of Added Elements on the Cracking Parameters for Inconel 1. S was found to have a highly detrimental effect when the avg. concentration was increased from 0.004 to 0.016 wt%. The adverse effect of S was attributed to segregation of this element and the subsequent reduction in effective solidus and liquidus, coupled with a lowering of the liquid-solid interfacial energy, causing the formation of thin films of S-rich liquid at the grain and subgrain boundaries. 2. P was found to have a detrimental effect similar to, but not as severe as, that of S when the avg. concentration of P was raised from 0.001 to 0.010%. A S-P interaction increased the detrimental effect of the t w o elements w h e n both were present in combinations. 3. M n and Si both had beneficial effects on the cracking parameters, resulting at least in part from an increase in the liquid-solid interfacial energy by the addition of these elements in the range 0.09-1.33% and 0.07-0.29%, respectively. The increase in liquid-solid interfacial energy minimizes the formation of liquid grainboundary films, thus reducing hotcracking propensity. M n and Si had a detrimental interaction w h i c h limited the effectiveness of these t w o elements in reducing the effect of S, when both M n and Si were present simultaneously. 4. Ti and Al also had beneficial effects on the cracking parameters investigated when Ti was increased from 0.01 to 0.32% and when Al was increased from 0.03 to 0.25%. The beneficial effect of Ti, Al, M n , and Si was postulated to result from (in addition to the mechanism discussed above for M n and Si) the excellent deoxidizing influence of these four elements. Since O has been observed to lower surface free energy of sulfides, it was suggested that these elements could increase the surface free energy by the reduction of dissolved O, thereby decreasing cracking tendencies. Acknowledgment The authors wish to acknowledge financial support provided by a NASA Traineeship during the early phase of the program. The authors w o u l d like to acknowledge the support of the Oak Ridge National Laboratories. References 1. Savage, W. F., and Lundin, C. D., "The Varestraint Test," Welding lournal, 44 (10), Oct. 1965, Research Suppl., pp. 433-s to 442-s. 2. Savage, W. F., and Lundin, C. D., "Application of the Varestraint Technique to the Study of Weldability," Welding lournal, 45 (11), Nov. 1966, Research Suppl., pp. 497s to 503-s. 3. Davies, O. L., The Design and Analysis of Industrial Experiments, Hafner Publishing Company, New York, N. Y. (1960). 4. Savage, W. F., Nippes, E. F., and Goodwin, G. M., "Effect of Minor Elements on Fusion-Zone Dimensions of Inconel 600," Welding lournal, to be published. 5. Cochran, W. G., and Cox, G. M., Experimental Designs, John Wiley & Sons, Inc., New York, N. Y. (1957). 6. Bowker, A. H., and Lieberman, G. J., Engineering Statistics, Prentice-Hall, Inc., Englewood Cliffs, N. J. (1959). 7. Savage, W. F., and Aronson, A. H., "Preferred Orientation in the Weld Fusion Zone," Welding lournal, 45 (2), Feb. 1966, Research Suppl., pp. 85-s to 89-s. 8. Savage, W. F., Lundin, C. D., and Chase, T. F., "Solidification Mechanics of Fusion Welds in Face-Centered Cubic Metals," Welding lournal, 47 (11), Nov. 1968, Research Suppl., pp. 522-s to 526-s. 9. Borland, J. C, "Suggested Explanation of Hot Cracking in Mild and Low Alloy Steel Welds," B.W.R.A. Report, Welding Research Abroad, VIII, 2, Feb. 1962. 10. Kiessling, R., and Westman, C, "Sulfide Inclusions and Synthetic Sulfides of the (Mn, Mo)S-Type," lournal of the Iron and Steel Institute, 204 (4), 377-379, 1966. W E L D I N G RESEARCH S U P P L E M E N T I 253-s
© Copyright 2026 Paperzz