Thermal expansion of some nickel alloys - NIST...

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Journal of R esearch of the Nati onal Bu reau of Standards Vo!' 58, No. 2, Febru ary 1957 Res ear ch Paper 2737 Thermal Expansion of Some Nickel Alloys Peter Hidnert D ata o n t he lin ear thermal expansion of some ni ckel a ll oys (manganese nickel, Hoskins All oy 667, In conel, Eva nohm, Mon el metal, M-M-M a ll oy, IIIium a ll oy, an d vVaspa ll oy ) for vanous te mp erat lll'e ra nges b et ween 20° a nd 1,000 ° C are given. Duri ng t he first heat in g of In conel a ll oys (l)robably with a super sat ur ated content of carbon ) , irreg ul a ri t ics we re note d m the expansion at about 700° C and were ascribed to pr ec ipi tat ion of carbid e. Th e coe ffi cients of expanS lO n of the a ll oys are ta bul ate d. For the ra nge 20 ° to 300° C these co C( fi c ie nts varied from 13.1 to 15.5X lO-6 per deg C. Th e cff ects of addi tions of cobalt, a nd 1ron to Ill ckel-chromlUm a ll oys (0 to 24 percent of c hr o mium ) are in di cate d. 1. Introduction Data ob tained b etween 191 8 and 19 56 on the linear thermal expansion of some ni ckel alloys for various ranges between 20° and 1, 000° C, arc pr esented. 2. Alloys Investigated Th e sampl es of ni ckel alloys were obtained from Wilbur B. Dri vel' Co ., Newark , N . J ., General Electric Co ., Schenectady, N. Y., Hol abird Quarter- master Intermediate D epo t, Baltimor e, Md. , H oskin s Manuf actmin g Co. , D etroit, Mich ., Ma nnin g, Max- well, a nd Moore, In c., Bridgepor t, Conn., Nat ional Advisory Co mmittee for Aeronautics, 'Washingt on , D. C., N ation al Bmeau of Stand ards, Th e Standard Calorimeter Co. (s ucceeded by Bmgess -Parr Co. , Freeport, Ill .), a nd Universal Cyclops Ste el Corp ., Titusvill e, Pa. Th e leng th of eaeh sampl e used in the determinat ions of lineal' thermal expansion was 300 mm . Th e cross sections of the sampl es, their chemi cal compositions, and treatment s ar e given in tabl e 1. The chemi cal compositions of some of the samples were determin ed by the Bur eau as noted in foot notes of table 1. The compositions of the oth er samples were suppli ed by the companies th at pro- duced them. 3. Apparatus Th e mi crometri c thermal- expansion apparatus de- scribed by Hidn ert and Souder [1]1 was used for the determin at ions of the linear th ermal expan sion of the nickel alloys. Th e sampl es were heat ed in an oil b ath or an air fmna ce. To minimize the eff ects of oxidation or scaling at hi gh temp eratmes, an ob- servati on wire was pl aced in a sharp V -groove cut around the sample near each end . Observa tions at each temp er atur e were taken und er equilibrium conditions. 4. Results and Discussion Th e obser vations obtained on heating and cooling 15 sampl es t o various te mperatmes wer e plott ed , 1 Fi gures in brackets indicate the literatu re references at the end of this paper. 89 bu t the obser vat ions for only 5 sampl es are hown ( fi gs. 1, 3, 4). Th e coeffi cients of expansion in ta bl e 1 were all co mpu ted from the original expansion curves. Th e "ann ealed" sampl es of In conel,2 co n tainin g 0.02 to 0. 11 percent of carb on, were prob abl y in a sup er sat m ate d co ndition with resp ect to carbon on account of their rel at ively f ast cooling from 2,050°F (1,121°C) . On the f ir st h eat ing of t hese all oys d Ul'ln g the thermal-expansion determin at ions ( fi g. 1) slight irr egularities were observed at about 500° anci 700 °C in the curves of insta nL an eo us coeffi cients of exp 3:l1 sion versus te mp er at m e ( fi g. 2). Th e il'l'egu- lantlCs at about 500 °C have been attribute d [2a], a.lthough wit hout co nclusive evidence, to the form a- tion of an ordered stru ct me ba sed up on Lhe co m- pound Ni3 Cr . Th e aut hor believes t h at the irr egulari ties in at about 700°C ( fi g. were caused by pr e- of carbJde. Such Irr egul ari ties have pr e- vlOusly been repor te d by Hidn er t [3 ] for nickel- chromium-iTon alloys. Th e irr egulari ties in the latter alloys were observed only dming t h e flr st h eat - ing on alloys th at . had previously b een cast or qu enched from a high temp er atm e. Fi gm e 2 indicates th at dmin g t he fir st h eating of In cond , the magnit ud e of t he irr egulari ty at 700 °C increases with increase in the carbon conte nt. No irr egulariti es were ob served in the cm ves of In conel on cooling it from 1,000 °C to room te mp era- tm e. The author believes th at the expansion cm ves of eaeh sampl e on rep eate d slow h eating a nd slow cooling will closely follow the cm've ob tained on the fir st cooling from 1,000 °C to room temp era t m e. From this it follows th at the coeffi ci ents of expansion on repeat ed h eat in g and cooling for each sampl e should be the same or nearl y the same as those given in table 1 on cooling. Ob servations on thermal expansion of Mon el metal (s ampl e 1861 ) a t various temp er at m es from room temp era tme to 1,000 °C arc shown in fi g ur e 3. The expansion was not reversible on h eating a nd cooling the s ampl e dming the fir st test, but th e ex- pansion was reversible dming the second test . , W. J. O'Sullivan, Jr. [21 reporteci data on thermal ex pansion, speci fi c heat thermal co nductivity, lnechanical properties, electrical resistance and emissivity of l nconel containing 0.02 to 0. 11 percent of carbon. '

Transcript of Thermal expansion of some nickel alloys - NIST...

Page 1: Thermal expansion of some nickel alloys - NIST Pagenvlpubs.nist.gov/nistpubs/jres/58/jresv58n2p89_A1b.pdfThermal Expansion of Some Nickel Alloys Peter Hidnert Data on t he linear thermal

Journal of Research of the National Bureau of Standards Vo!' 58, No. 2, February 1957 Research Paper 2737

Thermal Expansion of Some Nickel Alloys Peter Hidnert

D ata on t he linear t hermal expa nsion of so me ni ckel a lloys (ma nganese ni ckel, H osk ins Alloy 667, Inco nel, Evanohm, Monel metal, M-M-M all oy, IIIium alloy, and vVaspa lloy) for van ous temperat lll'e ra nges between 20° and 1,000° C are given. Duri ng t he first heating of Inco nel all oys (l)robably wit h a supersaturated co nten t of ca rbon) , irregul a ri t ics were noted m t he expansion at about 700° C and were ascribed to prec ipi tat ion of carbide. The coeffi cients of expa nSlO n of t he a lloys are tabulated. F or t he range 20° to 300° C these coC(fi cients varied fro m 13.1 to 1 5.5X lO- 6 per deg C. The cffects of addi t ions of ~opper , cobalt, a nd 1ro n to Ill ckel-chromlUm a ll oys (0 to 24 percent of chromium) a re indi cated .

1. Introduction

D ata ob tained between 1918 and 1956 on the linear thermal expansion of some nickel alloys for various ranges between 20° and 1,000° C, arc presented.

2. Alloys Investigated

The samples of nickel alloys wer e obt ained from Wilbur B. Drivel' Co., Newark, N . J., General Electric Co., Schenect ady, N. Y. , Holabird Quar ter­master Intermediate D epot, Baltimore, Md. , H oskin s Manufactming Co. , D etroit, Mich ., M anning, M ax­well, and Moore, Inc., Bridgeport, Conn. , National Advisory Committee for Aeronautics, 'Washington, D. C., National Bmeau of Standards, The Standard Calorimeter Co. (succeeded by Bmgess-Parr Co. , Freepor t, Ill .), and Univer sal Cyclops Steel Corp ., Titusville, Pa. The length of eaeh sample used in the determinations of lineal' thermal expansion was 300 mm. The cross sections of t he samples, their chemical compositions, and t reatments are given in table 1. The chemical compositions of some of the samples were determined by t he Bureau as noted in footno tes of t able 1. The composit ions of the other samples were supplied by the companies that pro­duced them.

3. Apparatus

The micrometric t hermal-expansion apparatus de­scribed by Hidnert and Souder [1]1 was used for th e determinations of the linear thermal expansion of t he nickel alloys. The samples were heated in an oil bath or an air fmnace. To minimize the effects of oxidat ion or scaling at high temperatmes, an ob­servation wire was placed in a sharp V -groove cut around the sample near each end. Observations at each temper ature were taken under equilibrium condit ions.

4. Results and Discussion

The observations obt ained on heating and cooling 15 samples to various temperatmes were plotted ,

1 Figures in brackets indicate the literature references at the end of this paper.

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bu t the observations for only 5 samples are hown (figs. 1, 3, 4). The coefficien ts of expansion in table 1 were all computed from the original expansion curves.

The "annealed" samples of Inconel,2 con taining 0.02 t o 0.11 percent of carbon, were probably in a supersatm ated condi tion wit h respect to carbon on account of t heir relatively fast cooling from 2,050°F (1,121°C) . On the first heating of t hese alloys dUl'lng t he thermal-expansion determinations (fig. 1) slight irregularit ies were observed at about 500° anci 700°C in the curves of instanLaneous coefficien ts of exp 3:l1sion versus temperatm e (fig. 2). The il'l'egu­lantlCs at about 500°C have been attributed [2a], a.lthough without conclusive evidence, to t he form a­t ion of an ordered structm e based upon Lhe com­pound Ni3Cr .

The author believes t hat the irregulari ties in I~lc.one! at about 700°C (fig. ~) were caused by pre­c~pltatlOn of carbJde. Such Irregul arit ies have pre­vlOusly been reported by Hidner t [3] for nickel­chromium-iTon alloys . The irregulari ties in the latter alloys were observed only dming the flrst heat­ing on alloys that . had previously been cast or quenched from a high temperatm e.

Figm e 2 indicates that dmin g t he first h eating of Incond, th e magnitude of t he irregularity at 700°C increases with increase in the carbon content .

N o irregularities were observed in t he cm ves of Inconel on cooling i t from 1,000°C t o room tempera­tme. The aut hor believes that t he expansion cm ves of eaeh sample on repeated slow heating and slow cooling will closely follow t he cm've obtained on the first cooling from 1,000°C to room temperatm e. From t his it follows that the coefficients of expansion on r epeated heating and cooling for each sample should be t he same or nearly the same as t hose given in t able 1 on cooling.

Observat ions on th ermal expansion of Monel met al (sample 1861 ) a t various temperatm es from room temperatm e to 1,000°C arc shown in figure 3. The expansion was no t reversible on heating and cooling the sample dming the first test, but the ex­pansion was reversible dming the second test .

, W. J. O'S ullivan, J r. [21 reporteci data on thermal ex pansion, speci fi c heat thermal conductivity, lnechanical properties, electrical resistance and emissivity of l nconel containing 0.02 to 0.11 percent of carbon. '

Page 2: Thermal expansion of some nickel alloys - NIST Pagenvlpubs.nist.gov/nistpubs/jres/58/jresv58n2p89_A1b.pdfThermal Expansion of Some Nickel Alloys Peter Hidnert Data on t he linear thermal

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TABLE 1. Coefficients of linear thermal expansion of some nickel alloys

00 Chemical composition a 00

~~ Sam- Commercial pie name

Z 0 " " ,;

0 )i, 0 ~ --- --- -------

% % % % % % 1260 __ Nickel C. ____ 99.94 0.006 0.03 0.005

462 ___ Manganese '97. 0 .3 .8 1.6 nickel.

1587 r Hoskins al- 94.5 . 04 3.9 loy 667 '.

1859 __ Inconel h ____ 76.45 14. 96 . 15 7.89 .07 0.26

1858 __ ____ do h ______ 75. 99 14.42 . 22 8. 87 .02 .28

1860 __ ____ d o h ______ 75.64 15.32 .19 8. 17 . 11 . 33 1790 __ Evanohm i __ 75 20 2.5 571 ; __ Monel metaL 67.6 26.7 889 k _ __ __ _ do _______ 66.80 29. 20 1. 70 . 24 2. 00

1861 ; _ _____ do _______ 66.4 29. 4

908m __ _____ do _______ 66.2 29.3 572 ___ _____ do _______

fM - M - M

}61

Alloy n 1054 __ I (Modified 25 3.5 0.75

Monel m etal).

1032 P _ Iilium alloy_ 59 24 7 1.5

1862 __ Waspalloy 0_ 55.45 19. 22 0. 12 0. 73 .45 0.67

• All compositions are given in percent by weight. b H indica tes that the coefficien ts of expansion were obtained on

beating, and C indicates tbat they were obtained on cooling t h e samples.

c Added for comparison with the nickel alloys in this pa per. d D etermined b y P . H idnel't and reported by L . Jordan and W.

H. Swanger, The properties of pure nickel, B S J. Research 5 , 1291 (1930) RP257. T he coefficients of expansion fo r other tempera ture ranges were compu ted (rom the original observations.

e Includes cobalt, probably as much as 1 percent. r Chemical composition determ ined b y W . H. Jukkola, formerly

o( the Bureau, and hy J . L. Hague o( the Chemistry Division of the 13meau,

~" 0 00 rrreaimcnt :...'0 0

Other ele- "' ° s" 0 <:> meuts E3 Z "" 3 "g :g ° w w p oo E-< <:>

'" ---- ----% % % mm X 10-6

0.006 0.004 Co, 0.016 __ Cold-swaged and an- 4 1H nealed at 950° C.

Drawn to wire __ ________ 1H

.81 ----------{cast in m etal mold, hot- }

rolled to H -in. diame- 1C fH ter, and cooled in air. 2H

Hot-rolled and ma-chined to 12-mm di-ameter, annealed b y rapid insertion into preheated (urnace at

. 19 .007 -- -- ----- --. 2,050° F (1,1 21 ° 0), h eld at this tempera- 12 {IH

l C ture (or 9H min, and then q uickly removed from furnace and cooled in q uiescen t air.

.17 .007 - -- -- -------_____ do _______________ ___ _ 12 {IH

1C . 21 . 007 --- --. -- --.-

_____ do ___________________ 12 eH 1C AI, 2.L ___ Drawn to wire __________ IH 13

- ----------- Hot-rolled _______________ 10 1C {lH

. 06 --- ---------r '""'''', ii; -" i;OOi? -) 11 1H

C in pure dry H , and fH

'13. 7 - ------- ---- fmnaco-cooled (1500 /hl' 13 2H

from 1,000° to 600° and 2C then 85°/hl' to 20°).

------ ------ - - - - -- - - -- -- - - - -- -- - - -- --- 11 lH ----------- - Hot -rolled _________ ______ 10 {lH

1C

. 75 Sn ,9 ______ Cas t in sand mold _______ 16 by 21 {IH 1C 14. 2

{MO,L ____ 1.5 W,2 ______

Ag, L ____ }casL __ _________________ 10 1H

Mo, 7.00 __ 0. 47 .008

rO,l1.20--Ti,2.49 ____

) Annealed 3 hr a t 1,000° } C in pure dry H , an d {lH furnace-cooled (1500 /h r 13 2H

AI, 1.0L __ from 1,000° to 600° and 2 C P ,0.D15 ___ then 85°/hr to 20°) .

• Used in the m anufactur e o( spark plugs and may be classed as a heat-resistant alloy,

h M ade by Interna t ional Nickel Co. Chemical composition deter­mined by this compa ny.

; M ade u y Wilbur Driver Co. , Newark , N. J . i Chemical composition determined by E . E . M aczkowske of the

Chemistry Division of tho Bureau. k Cut from valve s tem. Chemical composition determined b y

H. A. Buchheit, formerly of the Bureau. l One-third of the average coeffi cient of cub ical thermal expansion

(41.0X 1O-6 per deg C1rom 4° to 66° C) determined on anoth er sample b y a volumetric m eth od, by C. T. Collet t and B . C. K eysar of the M ech anics D ivision of the Bureau .

A verage coefficients or expansion per degree

0 0 C 0 0 0 0 0 0 0 ° ° ° ° ° ° ° ° °

<:>

8 <:> <:> <:> 0 <:> <:> <:> <:> <:> <:> <:> <:> <:> <:> <:> <:> <:> <:> ~-~ '" '" .,. '" ~ ,~ 00 0>

3 3 3 3 3 3 3 3 3 3 ° ° ° ° ° ° ° ° ° ° <:> <:> <:> <:> <:> => <:> => <:> <:> '" '" '" '" '" '" '" '" '" '" ---------------------

X IO-6 X10" X 10-6 X 10-6 X 10- 6 X IO-6 X lO-6 X l0-6 X IO-6 X 10- 6 d13.3 13. 9 d14.4 15. 0 15. 2 d15.5 15. 7 16.0 d16.3

14 15 15 16

13. 2 13.7 14.3 14.5 14.9 14.9 15.0 15.3 15.6 16.0 13. 1 13.6 14.3 14. 7 15. 1 17.0 13.0 13. 7 14.3 14.7 15.1 15.4 15. 9 16. 2 16.6 17.0

13.3 13.8 14.2 14.6 14.9 .1 5.3 15. 8 16.0 16. 3 16.8 13. 2 13.8 14.2 14. 6 15. 0 17. 4

13. 2 13.7 14. 1 14.5 14. 8 15.3 15.8 16.2 16. 6 17.0 13.2 13.8 14.2 14.6 15.0 15.5 17.3 13.3 13. 8 14.2 14.5 14.9 15.4 15.8 16.0 16.3 16. 9

14. 1 14.5 14.9 15.4 15.9 16. 3 17.3

14. 3 14.8 15. 1 15.5 14. 5 15.0 15.3 15.8

14.7 15.5 15.7

13. 9 14.5 14.9 15.4 15.8 16.9 17. 6 14. 0 14.6 15. 0 15. 4 15.8 16.2 17. 0

16.3 16.6 17.0

14.6 15. 3 15. 5 14. 2 14.8 15. 2 15.6 14.7 15.3 15.5 15.9

14.2 15.1 °16. 0 15. 2 15.5 16.4

12.5 13.0 13. 5

12.4 12.8 13.2 13.6 13.9 14.6 15. 1 15.8 16.8 17.9 12. 4 12.8 13. 1 13.6 12.4 12.8 13. 1 13.6

m C ut from valve stem. Chemical composition determined by E . E. Maczkowske o( the Ch em istry Divis ion of the Bureau .

n Resistant to acid and erosion b y high-temperature, high-pressure s team.

° P . Hidnert and W. '1'. Sweeney, Thermal expansion of M - M - M alloy, Phys. R ev. 36, 787 (1930).

p '1'he Standard Calorimeter Co., East Moline, Ill., reported spe­cific gravity 8.3 and m eltin g point 1,300° C.

q M ade by Universal Cyclops Steel Corp., Titusville, Pa. T his alloy resists corrosion, has s tructural strength at h igh temperatures, and is used (or rotor blad es in turbojets.

Page 3: Thermal expansion of some nickel alloys - NIST Pagenvlpubs.nist.gov/nistpubs/jres/58/jresv58n2p89_A1b.pdfThermal Expansion of Some Nickel Alloys Peter Hidnert Data on t he linear thermal

<f) :x: I-z 0 :::i --'

" :Z 0 in z 1t i:i 0:

:;l z :::i

T o o 2 L

0

o

o

/ V

/v / ~ V V /

// ~ J'f' /

? V" V fi/

~860 h

(-/ 1/ /'

Y § ~ /' . /

#59 /'

/ ~ /

V ~

/ V 1858

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£ -~o"

200 400 600 800 1000 TEMPERATURE. 'C

FIGU RE L Linea~' thermal expansion of three I nconel alloys conlammg 0,02 to 0.11 pel'cent of carbon,

0 , H eating; e , cooling.

Figure 4 shows the observations obtained on ther­mal expansion of Wasp alloy at various temperatures from room tempera ture t o 1 000°0. Th~ ?oefficients of expan~ion of th e nickel alloys

,contmmng ,76 to 97 per cent of nickel agr ee with th e corl'espondmg coeffiClents of nick el wit hin ± 0. 5 X 10- 6

per deg 0 (±3 percent) . A comparison of t he coefficients of expansion of

th e samples of Monel m et al wi. th those for nickel in­dicates th at the addit ion of 27 to 29 percent of copper t o nickel increases t he coefficien ts of expan­sion by a maximum of 1.4 X I0- 6 per deg 0 (10 percent).

The coefficien t~ <?f expansiOl?- of Illium alloy and W asp alloy contammg apprecIable contents of a variety of clemen ts are a pprecia bly less than those for l?-ickcl for various ranges between 20° and 700° O.

. FIgure 5 s.ummarizes coefficients of expansion of Dl ckel-chroml1.ull alloys with and without additions of other elemen ts, for th e r ange 20° (or 0° 0 ) to 100°

91

2 2

20

18

16

14

~ V

1860 ~

/ / & r V

V ~ ~

cP~

l

'" Q 12 x . z 0 iii 2 2 z <t Q. X 20 w lL 0

(J) 18 f-z W

U t;: 16 lL w 0 u

14

/ -V -/ [7 1859 /

~

V. V )'if

/ 7 "......

q:"

12

22

/ l:?' 20

18

16

14

/

1858 ~ V ~

~ V' / ~

.".....-

tf"" 12

o 200 400 600 800 1000 TE MPERATURE,OC

FIG URE 2. I nstantaneous coeffic ients of linear expansion of I nconel alloys contmmng 0.02 to 0.11 percent of carbon.

0. IIcaiing; e, cooling.

0, from the r esul ts in table 1 and other investigations [3, 4, 5, 6, 7] . The str aigh t line r epresen ts the rela­tion between th e coefficien ts of expansion and the ~hr.om~um. c~nten t of th e nickcl-?hromium allo,Ys. .rhIs Ime lJ?-dwates .tha.t the co~ffiClent of expanSlOn 111cr eases slIgh tly wI th 111cr ease 111 t he chromium COll­ten t. The addition of 11 percen t of cobalt or 7 per­c~nt of copp~r with o ther elemen ts (1 0 per cen t) to m ckel-chrommm alloys reduccd the coefficien ts of expansion appreciably. The effect of th e addi tion of iroll with or without oth er elem en ts is indicated in the figure.

Data on th e linear th ermal expansion of other nickel alloys investigated at the Bureau were pub­lished in previous papers [3, 8].

Th: au tl?ol' expr.esses his grati t ude to R. K. Kirby for hlS assIstance m the determina tions on thermal expansion of 1nconel alloys, Monel m etal (sample 1861 ), and W aspaUoy.

Page 4: Thermal expansion of some nickel alloys - NIST Pagenvlpubs.nist.gov/nistpubs/jres/58/jresv58n2p89_A1b.pdfThermal Expansion of Some Nickel Alloys Peter Hidnert Data on t he linear thermal

/ /

L

~ 0 0

1 TEST 2

V /

/ V V ~ a

/' / a

a 200

/ lJ'

L ~ / /

~

V / v

V TEST I

400 600 TEMPERATURE. ' C

1861

/ L v v

/ ~

800

8 0

1

a

a a

1000

V 1

V V

V / /V

TEST 2 / / -CsT I 1862

/' V V

/ V

200 400 600 800 TE MPERATURE . 'C

FIGU RE 4. Linear thermal expansion oj Waspalloy. 0 , Hea tin g; e, cooling.

FIGU RE 3. Linear thennal expansion of ~Monel metal (sample 1861).

0, H eating; e, cooling.

WQ 16 I

x Z Q 15 f­<f) z 'tf:. H CU26.7 x OJ 14 ~ I Cu 29.4

f-

i:'i 13 l­v ;;: "­UJ

8 12 I-

I e OOTO 100°C o 20° TO 100°C

UJ x e Fe30

I

H Fe ls.I , Mn2.1 -

Fe8.!]

iC Fe6.6,Mn3.2 , Si 2.5,CO.9 \c Fe 19.9

JH Mn2.5

o W ..QC

Fe8.9~Jc Fe 19.2,Si 1.7.?l: OH Mn l.9 Fe 7.9 H Mn2.1

COCU7, M04,W2,Mnr.5,

C Fe 38.9J \

0

ioll,M07, Ti 2.5,AI I

Sil.5,A9 I

C Fe 20.3, C 1.0

1000

~ . I 5 II L-__ ~ __ -L __ ~IL-__ ~I __ -L __ ~ ____ L-__ ~ __ -L __ ~~ __ ~ __ ~ __ ~~-::---: ;:; 0

I ~ --L I I I ~

14 16 18 20 22 24 26 28 30 4 8 10 12

FIGU RE 5. Coefficients of linear expansion of nickel-chromium alloys with and without additions of other elements.

All plot ted points represent values for annealed alloys, except ~hose marked with one of the following symbols: C, Cast : H, hot rolled; VV, wrought; X, unknown treatment .

5. References

[1] P . Hidnert and IV. Souder, Thermal expansion of solids, NBS Circular 486 (1950) .

12] W. J . O'Sulliv an, Jr., Some thermal and mechanic~1 prop­erties of Inconel at high temperatures for use m ae.ro­dyna mic heating r esearch, Proc. Am. Soc. T estmg Materials 55, 757 (1955). . .

[2a] Private communication from E . N . SkInner, InternatlOnal Nickel Co.

13] P Hidnert Thermal expansion of heat-resisting alloys : . nickel-chf'omium, iron-chromium and nickel-clp'omium­iron alloys BS J. R esearch 7, 1031 (1931) RP388.

[4] P. Chevenard, Dilatometre differentiel enregis treur, R ev. met. 1<l, 610 (1917) ; Compt. rend. 164, 916 (1917).

92

[5] Symposium on corrosion-resistant, heat-resistant and electrical-resistance alloys, Proc. Am. Soc. T esting Materials 24 (2), 189 (1924) . .

[6] W. A. D ean, An invest igation of some of t he physlCal properties of the iron-nickel-chromium sys tem, Rens­selaer Polytechnic Institute, Engineering and Science Series, No. 26 (1930).

[7] P . Ooerens, Die Eigenschaften del' Edelst iihle, Stahl u. Eisen H (2), 1645 (1924) .

[8] W. H. Souder and P. Hidnert, Thermal expansion of nickel, Monel metal, stellit e, stainless s teel, a nd aluminum, Sci. Pap. BS 17, 497 (1922) S426 .

WASHINGTON, September 19, 1956.

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