11
Hardness of Tempered Martensite in Carbon and Low-Alloy Steels R. A. GRANGE, C. R. HRIBAL, AND L. F. PORTER This paper presents the results of a systematic study of the effect of carbon, manganese, phosphorus, silicon, nickel, chromium, molybdenum, and vanadium on the hardness of martensite in low to medium carbon steels tempered for one hour at 100~ (56~ inter- vals in the range 400 to 1300~ (204 to 704~ Results show that the as-quenched hard- ness depends solely on carbon content. On tempering, the effect of carbon on hardness decreases markedly with increasing tempering temperature. Studies of carbon-0.5 man- ganese steels showed that the incremental increase in hardness from 0.5 pct manganese after a given tempering treatment was independent of carbon content. Based on this re- sult, studies of the effects of the other alloying elements were made using a 0.2 or 0.3 pct carbon, 0.3 to 0.5 pct manganese steel base composition. The hardness of the result- ing tempered martensite was assumed to be due to a given alloy addition, and when two or more alloying elements were added, their effects were assumed to be additive. Each of the seven alloying elements increased the hardness of tempered martensite by varying amounts, the increase being greater as more of each element was present. Nickel and phosphorus have substantially the same effect at all tempering temperatures. Man- ganese has essentially the same hardening effect at any temperature in the range 700 (371~ to 1300~ silicon is most effective at 600~ (316~ chromium at 800~ (427~ molybdenum at 1000 to ll00~ (538 to 592~ and vanadium at 1200~ (649~ Using the data obtained, a procedure is established for calculating the hardness of tem- pered martensite for carbon and alloy steel compositions in the range studied and for any combination of tempering time and temperature. T HE importance of developing a tempered marten- site structure to provide strength and toughness in high-strength steels has long been recognized. I For a steel of given carbon content and alloy composition, the final subcritical heat treatment (tempering treat- ment) establishes the hardness of the steel and for tempered martensites, the hardness can be used to estimate tensile strength. In addition to carbon and alloy content, such factors as the prior austenite grain size influence strength. This last-mentioned factor is beyond the scope of the present paper. Although there has been a considerable body of in- formation published over the past forty years on the effect of carbon and the individual alloying elements on the hardness of tempered martensite, 2"~ these investi- gations have dealt mainly with medium carbon steels, have been cumbersome to use, and have not fully ac- counted for secondary hardening effects. The present paper describes the results of a coordinated study to evaluate the effect of carbon and alloying elements on the hardness of quenched and tempered low carbon steels. Using the procedures prescribed in the paper, one can calculate the hardness and, in turn, the strength that will be achieved from a given tempering treatment for steels with compositions lying within usual ranges for AISI carbon and alloy steels. R. A. GRANGEwas formerly with U. S. Steel Corporation (retired), C. R. HRIBALis Senior Technician-Physical Metallurgy, and L. F. PORTER is Senior Research Consultant-Physical Metallurgy,U. S. Steel Corporation, Research Laboratory, 125 Jamison Lane, Monroe- vitle,PA 15146. Manuscript submitted December 17, 1976. MATERIALS AND EXPERIMENTAL WORK Iron-carbon alloys and high cleanliness steels were prepared by vacuum induction melting 35 pound (16 kg) heats of electrolytic iron, graphite and pure ferroalloys. Each 35 pound heat was split into two ingots, the second of which contained twice the amount of the element of interest added to the first. Ingots were hot-rolled to 0.25 in. thick (6.3 mm) plate. A portion of each hot-rolled plate was then cold- rolled to 0.1 in. thick (2.5 mm) strip or, in a few in- stances, to 0.05 in. thick (1.3 mm) strip. Specimens 0.5 in. (12,7 mm) square were taken from the cold- rolled strip for heat treatment. The composition of the steels used in this investi- gation with respect to the significant elements can be determined by reference to Table I. Other than the principal elements, the amount of any minor element present was always less than 0,005 pct and its effect was considered insignificant. Specimens from each series of steels made up of graded amounts of one alloying element were heat- treated as a group, simultaneously, to avoid any pos- sibility of variation in heat treatment affecting the data for a given element. All specimens were austeni- tized for 10 min at 1700~ (927~ and quenched in 6 pct NaC1 brine. Except for the higher carbon steels, the as-quenched samples contained essentially 100 pct martensite. Steels with a 0.50, 0.72, or 0.98 pct carbon contained retained austenite in amounts of 3, 7, and 13 pct, respectively. Slack quenching tended to oc- cur in the low carbon Fe-C alloys, and this tendency was minimized by reducing specimen thickness from 0.1 to 0.05 in. (2.5 to 1.3 mm). Tempering, always for 1 h, was done in a circulating-air furnace for METALLURGICALTRANSACTIONSA VOLUME 8A, NOVEMBER 1977 !775

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Page 1: Hardness of tempered martensite in carbon and low-alloy steelsdl.iran-mavad.com/sell/trans/en/Hardness of Tempered...graded amounts of one alloying element were heat- treated as a

Hardness of Tempered Martensite in Carbon and Low-Alloy Steels

R. A. GRANGE, C. R. HRIBAL, AND L. F. PORTER

This paper p resen t s the r e su l t s of a sys t emat i c study of the effect of carbon, manganese, phosphorus, s i l icon, nickel, chromium, molybdenum, and vanadium on the hardness of mar tens i te in low to medium carbon s tee l s t empered for one hour at 100~ (56~ in ter - vals in the range 400 to 1300~ (204 to 704~ Resul ts show that the as-quenched hard- ness depends solely on carbon content. On tempering, the effect of carbon on hardness d e c r e a s e s markedly with increas ing temper ing t empera tu re . Studies of carbon-0.5 man- ganese s tee l s showed that the incrementa l inc rease in hardness f rom 0.5 pct manganese af ter a given temper ing t rea tment was independent of carbon content. Based on this r e - sult, s tudies of the effects of the other al loying e lements were made using a 0.2 or 0.3 pct carbon, 0.3 to 0.5 pct manganese s tee l base composition. The hardness of the r e su l t - ing t empered mar tens i t e was assumed to be due to a given alloy addition, and when two or more al loying e lements were added, thei r effects were assumed to be additive.

Each of the seven al loying e lements inc reased the hardness of t empered mar tens i te by vary ing amounts, the inc rease being g rea t e r as more of each element was presen t . Nickel and phosphorus have substant ia l ly the same effect at al l t emper ing t empera tu res . Man- ganese has essent ia l ly the same hardening effect at any t empera tu re in the range 700 (371~ to 1300~ s i l icon is most effective at 600~ (316~ chromium at 800~ (427~ molybdenum at 1000 to l l00~ (538 to 592~ and vanadium at 1200~ (649~

Using the data obtained, a p rocedure is es tab l i shed for calculat ing the hardness of tem- pered mar tens i t e for carbon and alloy s tee l composit ions in the range studied and for any combination of temper ing t ime and t empera tu re .

T HE impor tance of developing a t empered mar ten- s i te s t ruc ture to provide s t rength and toughness in h igh-s t rength s tee l s has long been recognized. I F o r a s tee l of given carbon content and alloy composition, the final subcr i t i ca l heat t rea tment ( tempering t r ea t - ment) es tab l i shes the hardness of the s tee l and for t empered mar tens i t e s , the hardness can be used to es t imate tensi le s trength. In addition to carbon and al loy content, such fac tors as the p r i o r austeni te gra in s ize influence strength. This las t -ment ioned factor is beyond the scope of the presen t paper .

Although there has been a considerable body of in- formation published over the past for ty y e a r s on the effect of carbon and the individual al loying e lements on the hardness of t empered mar tens i te , 2"~ these invest i - gations have deal t mainly with medium carbon s tee l s , have been cumbersome to use, and have not fully ac- counted for secondary hardening effects . The p resen t paper desc r ibes the r e su l t s of a coordinated study to evaluate the effect of carbon and al loying e lements on the hardness of quenched and tempered low carbon s t ee l s . Using the p rocedures p r e sc r i bed in the paper , one can calculate the hardness and, in turn, the s t rength that will be achieved f rom a given temper ing t rea tment for s tee l s with composit ions lying within usual ranges for AISI carbon and alloy s tee l s .

R. A. GRANGE was formerly with U. S. Steel Corporation (retired), C. R. HRIBAL is Senior Technician-Physical Metallurgy, and L. F. PORTER is Senior Research Consultant-Physical Metallurgy, U. S. Steel Corporation, Research Laboratory, 125 Jamison Lane, Monroe- vitle, PA 15146.

Manuscript submitted December 17, 1976.

MATERIALS AND EXPERIMENTAL WORK

I ron-ca rbon al loys and high c leanl iness s t ee l s were p repa red by vacuum induction melt ing 35 pound (16 kg) heats of e lec t ro ly t ic iron, graphite and pure fe r roa l loys . Each 35 pound heat was spl i t into two ingots, the second of which contained twice the amount of the element of in te res t added to the f i r s t .

Ingots were ho t - ro l l ed to 0.25 in. thick (6.3 mm) plate. A port ion of each ho t - ro l led plate was then cold- ro l led to 0.1 in. thick (2.5 mm) s t r ip or , in a few in- s tances, to 0.05 in. thick (1.3 mm) s t r ip . Specimens 0.5 in. (12,7 mm) square were taken from the cold- ro l led s t r ip for heat t rea tment .

The composit ion of the s tee l s used in this inves t i - gation with r e spec t to the significant e lements can be de termined by re fe rence to Table I. Other than the pr inc ipa l e lements , the amount of any minor e lement p resen t was always less than 0,005 pct and i ts effect was considered insignificant.

Specimens f rom each s e r i e s of s t ee l s made up of graded amounts of one al loying element were heat- t r ea ted as a group, s imultaneously, to avoid any pos- s ib i l i ty of var ia t ion in heat t rea tment affecting the data for a given element. All specimens were austeni- t ized for 10 min at 1700~ (927~ and quenched in 6 pct NaC1 br ine . Except for the higher carbon s tee ls , the as-quenched samples contained essen t ia l ly 100 pct mar tens i t e . Steels with a 0.50, 0.72, or 0.98 pct carbon contained re ta ined austeni te in amounts of 3, 7, and 13 pct, respec t ive ly . Slack quenching tended to oc- cur in the low carbon Fe -C al loys, and this tendency was minimized by reducing specimen thickness f rom 0.1 to 0.05 in. (2.5 to 1.3 mm). Temper ing, always for 1 h, was done in a c i r cu la t ing -a i r furnace for

METALLURGICAL TRANSACTIONSA VOLUME 8A, NOVEMBER 1977 !775

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Table I. Levels o f Signif icant E lements in I ron-Carbon Al loys and High Cleanliness Steels Investigated

Alloy Series Levels of Element Vaned, Pct

Carbon* 0.5Mn-Carbon* 0.2C-Manganese* 0.2C 0,SMn-Phosphorus* 0 19C-0,53Mn-Sihcon* 0.t 8C-&30Mn-Nickel* 0.19C-0.3Mn-Chromium* 0.18C-0.3Mn-Molybdenum* 0.19C-0.5Mn-Vanadmm*

0.12, 0.20, 0.42, 0.50, 0.72, 0.98 0.08, 0.20, 0.42, 0,58, 0 78 0.35, 0 64, 0.90, 122, 1 66, 1.95 0.002, 0.06,028 0.09, 0.29, 0.56, 0.85 0.20, 027, 0.80, 155 0.1,0.18, OAO, 0.63 0.06, 0.12, 0.17, 0.41 0.02, 0.052, 0.075, 0.18

*Element vaned.

temperatures below 700~ (371~ and in lead for temperatures at and above 700~

The austenite grain size was determined for one set of specimens of each ser ies and found to be in the range 4 to 6 ASTM. This variation in grain size was found to trove an insignificant effect on the hardness of tempered martensite.

After heat treatment, each set of specimens was mounted edgewise (using an unheated polymer in the as-quenched condition and bakelite when tempered), ground to remove at least 0.06 in. (1.5 mm) from the exposed surface and polished. Three or more diamond pyramid (HV) hardness measurements with 20 kg load were made for each specimen. In those few instances, where all three hardness readings were not identical, additional hardness measurements were taken after regrinding and polishing.

The microst ructure of all specimens was examined after etching in picral and nital solutions. Photomi- crographs were taken to illustrate the effect of each element on microst ructure .

RESULTS

Fe-C Alloys

Results for i ron-carbon alloys with carbon content ranging from 0.12 to 0.97 pct, are shown graphically in Fig. 1. The measured hardness of each specimen is represented by a point, and a smooth curve is drawn through the points for each tempering tempera- ture to show the hardness at any carbon content.

The relation between carbon content and hardness for as-quenched martensite is somewhat lower than the relation shown by Bain and Paxton 2 but agrees r e - markably well, as seen in Fig. 1, with that obtained by Jaffe and Gordon 5 for samples water quenched and then cooled t o - 320~ (-196~ The hardness of as- quenched martensite of a part icular carbon content was not changed significantly as a result of adding manganese or other alloying elements. Thus, the curve for as-quenched martensite is the maximum hardness attainable by quenching to martensite in all the carbon and low alloy steels investigated, and the alloy content apparently did not change the retained austenite content of the steels sufficiently to affect the as-quenched hardness. However, the curves for all tempered specimens are higher when alloying ele- ments are added to Fe-C alloys. The curves of Fig. 1 thus serve as a base to which the effect of the alloy in

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~ ~ 0 , ~ 0 ~ 0 T c = (T F - 32)/1 8

,oa ~'~ ~ 8 ' ' ' ~ t I I , , i I i I i ~ t

0 0 2 04 06 0 8 10

CARBON, percent

Fig , l ~ H a r d n e s s of t e m p e r e d m a r t e n s i t e in i r o n - c a r b o n a l - loy.

Lu

resis t ing softening on tempering can be added. The resistance to softening thus can be shown as an in- crease in the hardness (~ffIV) over that which would be obtained by tempering an Fe-C alloy. When referr ing to the effect of various alloying elements on tempering response in the figures and discussion, the term in- crease in hardness (AHV) due to the alloy will be un- derstood to be a measure of the resistance to soften- ing imparted by the alloying element.

Figure 2 shows typical mtcrographs of specimens chosen to illustrate the effect of carbon on quenched martensite and on martensite tempered one hour at 1300~ (704~ In the as-quenched condition, so- called lath martensite is present at 0.12 pct carbon and plate martensite at 0.42 and 0.97 pct carbon. Somewhere between 0.12 and 0.42 pct carbon, the s t ructure changes from lath to plate martensite; the transition is probably gradual, since the hardness curve exhibits no discontinuity in hardness.

When Fe-C alloys are tempered at 1300~ hardness does not increase greatly with carbon content (Fig. 1). Figure 2 indicates that with increasing carbon content, the cementite particles become larger ra ther than more numerous; thus, the mean distance between par- ticles, which principally determines hardness, changes relatively little.

Fe-0.5Mn-C Alloy

A ser ies of five alloys, all containing 0.5 pct man- ganese with carbon varying in the range 0.07 to 0.78 pct, was investigated to determine the quantitative

1776-VOLUME 8A, NOVEMBER 1977 METALLURGICAL TRANSACTIONS A

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effect of manganese on the hardness of tempered mar- tensite in alloys with different carbon contents. The data points connected by dashed lines in Fig. 3 shows the results for Fe-0.SMn-C alloys at tempering tem- peratures of 600, 800, 1000, and 1200~ (316, 427, 538, and 649~ The solid-line curves are for Fe-C alloys transposed from Fig. 1.

After tempering at 400~ (204~ the points for the Fe-0.5Mn-C alloys lie on the curve for Fe-C alloys. Thus, manganese had no effect on the hardness of martensite tempered at 400~ At higher tempering temperatures, the presence of manganese resulted in higher hardness after tempering. The fact that the corresponding curves for a given tempering tempera-

0.12C

0.42C

0.97C

As-quenched Tempered 1300~

Fig. 2 - -Ef fec t of ca rbon content on the m i c r o s t r u c t u r e of F e - C a l loys . Magnif icat ion 500 t i m e s .

METALLURGICAL TRANSACTIONSA VOLUME 8A, NOVEMBER 1977-1777

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800, I 1 1 1 I I I ....... I l

706 AS-QUENCHED j./0 AND 4 0 0 ~ F / 50

O

600 / 55 O

"" ~ 0 " ~ ~ 0 ~

~ 5oo / . o " * % e ~ =

400 40

~| / . .o ~ / . o - _ . - . - - - ~~ . " / . . . o " - 10o0~

2 /o

1 0 0 r , " ~ I t t t ~ I I I 1 1 0 02 0.4 06 08 ? 0

CARgON, pea'cent Fig . 3 - - E f f e c t of 0.5 pc t m a n g a n e s e on the h a r d n e s s of t e m - p e r e d m a r t e n s i t e in s t e e l s c o n t a i n i n g v a r i o u s a m o u n t s of c a r - bon .

ture a re very near ly p a r a l l e l indicates that for a given temper ing t empera tu re , 0.5 pct manganese had sub- s tant ia l ly the same hardening effect at a l l carbon con- tents.* These r e su l t s offer some assurance that the

*The low hardness value for the 0.07 pet carbon alloy tempered at 1200~ (649~ was due to atypical, exaggerated ferrite grain growth in this specimen

effect of other al loying elements may also be inde- pendent of carbon content. In the work that follows, a 0.2 pct carbon s tee l is used as a base and the a s - sumption is made that the effect on hardness of a given alloy addition would be independent of the c a r - bon content. This assumption, which might be ex- pected to be r a the r tenuous for s t rong carbide f o r m e r s , was tested la te r by comparing calculated and actual hardnesses for different s tee l s tempered at different t emper ing t empera tu re s and found to be reasonably valid within the composit ion ranges invest igated.

Effect of Different Amounts of Manganese

Resul ts for s ix pure s tee l s containing 0.2 pct c a r - bon and different amounts of manganese in the range 0.35 to 1.97 pct a re given in Fig. 4. The points for zero manganese were taken from the e a r l i e r r e su l t s for F e - C a l loys (Fig. 1). The data show that when tem- pered at 400~ (204~ inc reas ing manganese content did not r e su l t in a higher hardness than that of the Fe -C alloy tempered at 400~ (204~ but substant ial ly higher ha rdnesses were obtained for the manganese containing a l loys at t emper ing t empera tu re s of 600~ (316~ and above. Note that the curve for 1300~ (704~ temper ing ends at about 1.2 pct manganese be- cause with more than this amount of manganese, the A~ t empera tu re is exceeded.

The r e su l t s a re summar ized in a more genera l and

=>

i

45(3

400

! I I I l I ! I I

400QF 0 0 - O 0 0 0

500~ ~.0/C

O ........... O O O - ' ' ~ "

!45

, i / T C = (T~ - 32)/1 8 o /

~ooi I ........ I I I I I I I i 0 04 08 12 16 20

MANGANESE, percent

Fig . 4 - - H a r d n e s s of t e m p e r e d m a r t e n s i t e in 0.2 pc t c a r b o n s t e e l s c o n t a i n i n g d i f f e r e n t a m o u n t s o f m a n g a n e s e .

15

m

25

i I t f /

80 TC = (TF - 32)/18 700~

8 0 0 ~

> 1200"F . ~./J~'1000~ F

60 \ - f 2 f . . . . . . . 8 o o ~ F / . -;5 / f ,1300VF / /

5 900 ~ ~ .i ~/L/ _~ -- . ~

- 00 / < . , , / . S / ] =< / /

20 -- 500*F~. / - ~

t / I , / 4 ~ 1 7 6 t ~ F 0 0.4 08 12 16 20

MANGANESE, percent

F i g , 5 - - ~ c r e a s e i n h a r d n e s s due to m a n g a n e s e Jn 0 .2 p c t carbon, quenched and tempered steels.

convenient form in Fig. 5 by plotting the inc rease in the t empered hardness of the 0.2 pct carbon s t ee l r e - sul t ing f rom var ious manganese addit ions. The effect of manganese on the hardness of t empered mar tens i t e is shown to inc rease f rom zero at 400~ (204~ in a regu la r manner with t emper ing t empera tu re to 800~ (427~ In the region f rom 800~ to 1300~ the hard- ness inc rease va r i e s about an average value. The var ia t ion is ~10 HV Vickers hardness numbers in the region of 0.4 pct manganese and the amount of va r i a - tion is a minimum at 1.6 pct manganese.

As manganese increased , the appearance of the mi-

1778-VOLUME 8A, NOVEMBER 1977 METALLURGICAL TRANSACTIONS A

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Fig . 6 - - E f f e c t of m a n g a n e s e on the m i c r o s t r u e t u r e of m a r t e n s i t e t e m p e r e d at 1200~ (649~ for 1 h. M a g - n i f i c a t i o n 455 t i m e s .

0.35Mn

c r o s t r u c t u r e of t e m p e r e d m a r t e n s i t e changed no t i ce - ab ly . Th is change can be i l l u s t r a t e d by c o m p a r i n g the low and high manganese s t e e l s t e m p e r e d at 1200~ (649~ F ig . 6. As manganese i n c r e a s e d , 1) the m a r - t e n s i t i c a p p e a r a n c e was r e t a i n e d to a g r e a t e r deg ree , 2) the c a r b i d e s , when examined at high magni f ica t ion , w e r e found to be s m a l l e r and m o r e numerous , and 3) the m i c r o s t r u c t u r a l banding was accen tua ted . T h e s e changes sugges t that manganese i n c r e a s e s the h a r d - ne s s of t e m p e r e d m a r t e n s i t e p r i n c i p a l l y by r e t a r d i n g the c o a l e s c e n c e of c a r b i d e s , and thus p r o v i d e s a r e - s i s t a n c e to g ra in growth in the f e r r i t e m a t r i x . The combina t ion of m o r e and s m a l l e r c a r b i d e s and an ap- p a r e n t lower s t a t e of r e c o v e r y of the m a r t e n s i t e ( f iner packe t s of f e r r i t e ) , c ause s the o b s e r v e d sub- s t a n t i a l i n c r e a s e in the h a r d n e s s of t e m p e r e d m a r t e n - s i t e as the p e r c e n t a g e of manganese in s t e e l i n c r e a s e s .

Ef fec t s of Other Al loy ing E l e m e n t s

In a manne r s i m i l a r to that used in d e t e r m i n i n g the ef fec t of manganese , the effect of i n c r e m e n t a l amounts of the a l loy ing e l e m e n t s , P , Si, Ni, Cr , Mo, and V on the r e s p o n s e to t e m p e r i n g w e r e d e t e r - mined and the i n c r e a s e in h a r d n e s s ove r that of an F e - C a l loy t e m p e r e d f o r 1 h at the s a m e t e m p e r a t u r e was d e t e r m i n e d for each i n c r e m e n t in a l loy and fo r each of the t e m p e r i n g t e m p e r a t u r e s . F a m i l i e s of c u r v e s s i m i l a r to those shown in F ig . 5 were p lo t ted for each a l loy ing e l emen t . T h e s e p lo t s we re used to examine the effect of the v a r i o u s a l loy ing e l e m e n t s on t e m - p e r i n g r e s p o n s e . However , the e f fec t s a r e not shown in th is f o r m but a r e shown l a t e r in F i g s . 8 through 17, whe re for a given t e m p e r i n g t e m p e r a t u r e , the in- c r e a s e in h a r d n e s s o b s e r v e d for each of the a l loy ing e l e m e n t s is p lo t t ed as a function of the a l loy content .

Effect of P h o s p h o r u s . S i m i l a r da t a we re ob ta ined for t h r e e l eve l s of phosphorus (0.002, 0.064, o r 0.28 pc t phosphorus ) in a 0.2 pc t c a rbon -0 .5 pc t manganese s t ee l . Phospho rus i n c r e a s e d the h a r d n e s s of t e m - p e r e d m a r t e n s i t e at a l l t e m p e r i n g t e m p e r a t u r e s ex-

METALLURGICAL TRANSACTIONS A

i. 97Mn

cept 400~ (204~ F o r v a r i o u s t e m p e r i n g t e m p e r a - t u r e s , the i n c r e a s e s in h a r d n e s s due to phosphorus w e r e found to a l l s c a t t e r about a s ing le cu rve . Thus, phosphorus may be c o n s i d e r e d to have the s a m e effect at a l l t e m p e r i n g t e m p e r a t u r e s in the r ange 500 to 1200~ (260 to 649~

M e t a l l o g r a p h i c examina t ion showed that phosphorus had l i t t l e ef fec t on ca rb ide s i ze , and, t h e r e f o r e , phos- phorus was a s s u m e d to i n c r e a s e the h a r d n e s s of t e m - p e r e d m a r t e n s i t e p r i n c i p a l l y , if not e n t i r e l y , by so l i d - so lu t ion h a r d e n i n g of the f e r r i t e m a t r i x .

Effect of Si l icon. S i m i l a r da t a were obta ined for a s e r i e s of 0 .19C-0.5Mn s t e e l s conta in ing g r aded amounts of s i l i con as ind ica ted in Tab le I. S i l icon in-

0 02 04 06 08 10

CARBON percent

Fig. 7--Chart showing hardness of tempered martensite in Fe-C alloys.

VOLUME 8A, NOVEMBER 1977-1779

Page 6: Hardness of tempered martensite in carbon and low-alloy steelsdl.iran-mavad.com/sell/trans/en/Hardness of Tempered...graded amounts of one alloying element were heat- treated as a

5C

> 1M?: ~>, +~r~ ~o l i I i 1,4 ! , --

c ~ - T - ' - F t = T - - 002 005 01 0 t 5 0 2 0 5 15 2

ELEMENT, percen t

Fig. 8--Effect of e l ements on the hardness of martens i te pered at 400~ (204~ for 1 h.

00 __ - 4 q - J -

40 ; ; ;

~~ ~ - " " ~ t I L

oi ,-+"'f~ ~1- 002 005

/ J

01 O15 0 2 0 5

ELEMENT, percen t

Fig . 9--Effect of e l ements on the hardness of martens i te pered at 500~ (260~ for 1 h.

7O t - - ~

20 - - - - ~ - -

N 002 005

I I

.!

- - I I I 01 015 Q2 0 5

ELEMENT, percen t

Fig. 10--Effect of e l ement s on the hardness of martens i te t empered at 600~ (316~C) for 1 h.

I l 7O~=F . . . . . I

7~ : : : i

i i t ,

601 ; , :

1 ! ,,I

> 501 ,i i

-1 : : : . . . . . v

30" ' ' . ' ~ f / < "

002 0 0 5 0,1 0 1 5 0 2

Me - -

/

0 5

tern-

tern-

~<_-L-_

/ ! ;/__2_2

[,,

X

7 1

1 5 2

ELEMENT, percen t

F i g . 1 1 - - F , f f e e t o f e l e m e n t s o n t h e h a r d n e s s o f m a r t e n s i t e t e m p e r e d a t 7 0 0 ~ ( 3 7 1 ~ C ) f o r I h .

creased the hardness of tempered martensite at all tempering temperatures.

Silicon was found to have a much greater effect at 600~ (316~ than at other tempering temperatures. This result is in agreement with the well-known effect of si l icon in inhibiting the conversion of epsilon car- bide to cementite, a change that occurs at about 600~ .~

90

80

60 ' > "1

5O

[

L ~

t -

!

0 0 5

I I I 1 1 I I I ' t i I J i l l

1 I I I I , 4 ' - - ~ I.ko, 7 - f ! lJ, d - ! ! ! . , , ~

0 0 2 01 0 ~ 5 0 2 0 5 1 1 5 2

ELE~ENT, p e r c ~ t

Fig. t2 - -Ef fec t of e l ements on the hardness of martens i te tempered at 800~ (427~ for 1 h.

80 I I ,

I - I . . . . . . . . . . .

50 I ! - - ~ , ,

4 ( : : "

2o i 't ' , - i

002 005 01

- - i I , i

i a , 1

F/:_I t ~ "~M~

/ I .4I j,,," ~ I J /A I ' I / t

J r A ~ I i

015 0 2 0 5

ELEMENT, percen t

1 15 2

Fig, 13--Effect of e l ements on the hardness of martens i te tempered at 900~ (482~ for 1 h.

,.1, -

- �9 t O ~ P F ~ " ' V 1

Y t ! , t ltl _ . . . . /

> 5 ( I i ] ,

~~ . . . . ~ I i . i,,l ; ~ - r ' l "-+- ~ J I J '__4" -F I I1

002 005 O~ O r 5 0 2 0 5 1 1 5

ELEMENT, p e r c e n t

Fig. !4 - -Ef fec t of e l ements on the hardness of martens i te tempered at 1000~ (538~ for 1 h.

The microstructure of tempered martensite was noticeably affected by adding 0.86 pct silicon. Metallo- graphic examination of samples containing 0.09 Si and 0.86 Si tempered at 1200~ (649~ showed that the car- bides were smaller and the ferrite tended to be divided into smaller lath-like regions (packets) in the 0.86 Si steel, which probably explains most of the hardening effect of silicon; however, si l icon also probably increases the hardness of tempered marten- site by solid-solution hardening.

i780 VOLUME 8A, NOVEMBER 1977 METALLURGICAL TRANSACTIONS A

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Effect of Nickel, Study of the effect of nickel on 0.18C-0.3Mn steels showed that nickel has a relatively small effect on the hardness of tempered martensite which is essentially the same at aH tempering tem- peratures .

.---4- - - - - 1100~

~ 7

002 005

Fig. 15--Effeet of e lements t empered at l t 00~ (592~

" III ! / r io

" ! I - -

: : : ~ , I ~A,;.,,~,. -

01 015 02 05 1 15

ELEMENT, percent

on the hardness of mar tens i t e for 1 h.

120

110 " " "

108

9~

8{] " "

7C

6s

5C

4C

3(

2(

0 0 2

Fig. 16--Effect of elements tempered at 1200~ (649~

I " ' ! , LV

'~"~ IIII i ~ ! L!!!

I , I 4--r - - d ~ O

i i a ' ] '

_ / i i i i / ,'L; t I I~/.-" " ' F "

7 ~." tj I

. ~ . I 1 s ~ '

005 01 01502 05 1 lS 2

ELEf~ENT. #e~cent

on the hardness of mar tens i t e for 1 h.

I f i i I t 006 O1

Fig. t7 - -Ef fec t of e lements t empered at 1300~ (704~

__ V

)/V 5 ~ / l J . ' I / 1 Lk t

015 02 05 ~ 15

ELEMENT, percent

o n t h e h a r d n e s s o f m a r t e n s i t e

f o r t h .

The increase in hardness resulting from nickel for any tempering temperature can be quantitatively ex- pressed by a single line drawn from zero for a nickel f ree steel to an increase in hardness (AI-IV) of I0 points in diamond pyramid hardness for a steel con- taining 1.5 pct nickel,

In accordance with its smaller effect on the hardness of tempered martensite, nickel has no apparent effect on microstructure . The effect of nickel is probably due to weak solid-solution hardening.

Effect of Chromium. The effect of chromium in the range 0.10 to 0.63 pet was investigated in a 0.19C- 0.3Mn steel. Chromium re tards the tempering of mar - tensite at all tempering temperatures. Obviously, the effect of chromium, which is the f i rs t strong car - bide forming element to be discussed, is more complex than that of weak carbide formers (Mn) or noncarbide fo rmers (P, Si, and Ni). The increased hardness due to chromium, weak at 400~ (204~ increases to a maximum at 800~ (427~ the temperature at which the alloy carbides produce maximum strengthening, and then decreases with increasing tempering tempera- ture because the carbides coalesce.

Metallographic investigation showed that, in the higher chromium steels, carbides were smal ler and more numerous and that the micros t ructure remained more acicular in appearance (finer packets) than in low chromium steels. Chromium in the percentage range investigated substitutes for some of the iron in cementite, and thus re tards coalescence of carbides.

Effect of Molybdenum. Molybdenum, like chromium, is a s trong carbide forming element that can be ex- pected to produce substantially higher hardness than an Fe-C alloy when the alloys are tempered at higher temperatures . The effect of the molybdenum contents shown in Table I on tempering in a 0.15C-0.3Mn steel was determined.

At 400~ (204~ molybdenum had no effect but in- creases in hardness were observed in increasing amount as the tempering temperature increased to 1000~ (538~ At 1000 and II00~ (592~ the effect of molybdenum was the same, but the increase in hard- ness was lower when tempering at 1200~ (649~ Molybdenum is a potent addition to steels quenched and tempered at 1000~ or above. It partitions to the carbide phase at elevated temperatures, and thus keeps the carbide particles small and numerous.

Effect of Vanadium. Because vanadium is a stronger carbide former than chromium or molybdenum, it can be expected to have a potent effect on the hardness of tempered martensite. Vanadium carbide forms in steel containing relatively small amounts of vanadium. The effect of the vanadium contents shown in Table I on tempering in a 0.19C-0.5Mn steel was determined.

The maximum increase in hardness, which occurred in specimens tempered at 1200~ was considerably greater than that observed with other alloying ele- ments, even though the maximum percentage of van- adium added was only 0.18 pct. The effect of vanadium increased steadily with increasing tempering tempera- tures up to 1200~ Vanadium was also potent at 1300~ (704~ (only slightly below A1). The large ef- fect of vanadium is probably due to the formation of an alloy carbide (V4Cs or VC), which replaces cementite type carbide at high tempering temperatures and per - sists as a fine dispersion up to the At temperature,

METALLURGICAL TRANSACTIONS A VOLUME 8A, NOVEMBER I977-1781

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ESTIMATION OF THE HARDNESS OF TEMPERED MARTENSITE FROM CHEMICAL

COMPOSITION

The quantitative effect of the significant chemical elements (C, Mn, P, Si, Ni, Cr, Me, and V) present in standard grades of carbon and low-alloy steels has been evaluated. The effect of other elements normally present but not evaluated can be ignored in most quenched and tempered steels. Sulfur is present in inclusions and aluminum is used in very small amounts. Some success has been achieved in est imat- ing the hardness of tempered martensite from chemi- cal composition, but the methods proposed 3-~ have been based on inadequate data, are largely empirical, and are rather complicated. It is therefore worth- while to consider how the present data might be in- corporated into a new, more reliable method of est i- mating the hardness of tempered martensite. Such a method would save much of the time and effort pre- sently expended in conducting trials and would be helpful in selecting steel compositions for quenched and tempered steel products.

Ideally, the development of a general equation from which hardness could be calculated directly from chemical composition, tempering time, and tempering temperature, would be desirable. However, the large amount of data generated in the present study, the wide ranges in composition and temperature covered, and the complex tempering reactions occurr ing make the formidable task of developing such an equation of questionable merit . Accordingly, a more practical procedure is proposed in which the hardness of tem- pered martensite is estimated from a ser ies of stand- ard charts. The obvious start ing point for such an es- timate is with the data for Fe-C alloys. Carbon con- tent has a large and basic effect and carbon is present in all steels. The hardness of Fe-C alloys varies greatly with carbon content at low tempering tempera- tures but much less so at high tempering tempera- tures; consequently, even the effect of carbon would appear to be too complex for simple mathematical formulation. The hardness of tempered martensite at any particular carbon content is therefore deter- mined from a suitable chart, For this purpose, the curves of Fig. 1 for tempering temperatures of 400~ (204~ and above were drawn on a chart with numer- ous coordinate lines to aid in reading hardness values (Fig. 7). Tempering curves are given for 100~ (56~ intervals, and although interpolation at intermediate temperatures is possible, it is considered preferable to read the curves directly and estimate hardness at intermediate tempering temperatures as a final step.

To estimate the increase in hardness produced f rom elements other than carbon, a set of quantitative " r e a d - o f f " charts is required; the set consists of one chart for each tempering temperature. These charts are presented in Figs. 8 through 17. On these charts , the data is presented on a semilogarithmic scale to permit accurate readings for the percentages of ele- ments present in relatively small amounts. Each ele- ment, unless it had no effect at a part icular temper- ing temperature, is represented by a curve on each chart.

The use of the charts for estimating the hardness of tempered martensite f rom chemicat composition is

ra ther obvious. For a given steel composition being considered, the hardness, for example, at 1000~ (538~ tempering temperature is the hardness of the Fe-C alloy with corresponding carbon content tem- pered at 1000~ plus alt the ZXHV values for each of the other significant elements present in the steel. Thus,

Estimated HV (1000~ = HV (from Fig. 7)

+ AHVMn + AHVp+ AHVsi

+ ~HVNi + LXHVcr + AHVMo

+ LxHVv (all f rom Fig. 14).

The ~-IV value for any element not present in the steel for which the tempered hardness is being estimated, of course, drops out of the formula. Therefore, est i- mation by this method is a matter of simple addition and can be done quickly and easily.

The estimated hardness values for each tempering temperature represented by a chart (100~ or 56~ in- tervals in the range 400 to 1300~ or 204 to 704~ can be plotted to give an entire tempering curve of hard- ness v s tempering temperature. The result ing curve permits interpolation for hardness at any tempering temperature between the 100~ intervals used in con- structing the chart. Often, an est imator will be in- terested only in the hardness after tempering in a limited range, for example 1000 to 1200~ (538 to 649~ in which case fewer calculations are required.

COMPARISON OF ESTIMATED WITH EXPERIMENTALLY DETERMINED TEMPERING

CURVES

A considerable number of experimentally deter- mined tempering curves are available from ear l ier work, 4 and to test the validity of the assumptions made regarding interactions between alloying elements, tempering curves for different commercia l grades of steel may be calculated using the proposed charts and compared with those determined by direct measure- ment. The experimentally determined curves to be compared were developed from hardness measure- merits made on small specimens fully quenched to martensite and tempered for one hour.

Figures 18(a) and (b) provide comparisons of esti- mated hardness values with those of the experi- mentally determined tempering curve of two grades of carbon steel (1026 and 1080). In these figures, as well as in others to follow, the estimated hardness value at each 100~ interval in tempering temperature is shown as a point for comparison with the directly measured tempering curve. In the two steels, est i- mated hardness values lie reasonably close to the measured curve. The inherent variability in heat treating and hardness testing is such that a variation of at least • c , or about • HV, can be considered to be the best agreement that can be expected; most of the estimated points are within this range relative to the measured curve. For these carbon steels, the estimated hardness is generally on the low side.

A similar comparison of estimated and experi- mentally determined tempering data for 8650 steel is given in Fig. 19. The trend in this steel is for the estimated hardness values to be on the high side with respect to the measured curve. Nevertheless, a smooth

1782-VOLUME 8A, NOVEMBER t977 METALLURGICAL TRANSACTIONS A

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curve, if drawn through the es t imated points , would be reasonably c lo se to the measured curve .

Data for a vanadium containing grade of medium- carbon, low a l loy s t e e l (AISI 6145 s tee l ) i s shown in Fig . 20. Above 1000~ (538~ the e s t imated va lues for this s t ee l are cons iderably higher than measured va lues . This is in the t emper ing range where vana-

dium was found to have i ts greates t effect . The d i s - agreemen t between the calculated va lues and the ex- per imenta l va lues in this range is attributed to in- complete solut ion of vanadium in austeni te in the s t ee l used to obtain the exper imenta l t emper ing curve. 4

TEMPERING TEMPE RATURE,~

TEMPERING TEMPERATURE, r

200 300 400 500 600 700 500 ~ I I I I [

C-025 Mn-O 7g P-O 012 Sl-O 11

46

O

400 40

~> o ~

w w ~ 35 ~

I

300 30

25 MEASURED

0 ESTIMATED 20 O

200

I I I I I I I I I O 400 600 800 1060 1200

TEMPERING TEMPERATURE,~ (ONE HOUR)

(a)

TEMPERING TEMPERATURE ~

200 300 400 500 600 700 800 I I I I I I

O C-082 Mn-O 75 P 0 054 S~ 0 30

700 60

600 -- 55

O

~ -EO ~ z

< < I - - 45 2:

400 40

35

300 ~ 3 0

%,~, O - 25 %

20

200 400 600 800 1000 1200

TEMPERING TEMPERATURE,~ (ONE HOUR)

(b)

F i g . 1 8 - - ( a ) C o m p a r i s o n of m e a s u r e d a n d e s t i m a t e d h a r d n e s s of t e m p e r e d m a r t e n s i t e i n a n A I S I 1026 s t e e l . {b} C o m p a r i - s o n o f m e a s u r e d a n d e s t i m a t e d h a r d n e s s o f t e m p e r e d m a r - t e n s i t e i n a n AISI 1080 s t e e l .

800

500

400

300

200 300 400 500 600 700

~ 3 I I I I I

-- 55

O\o O\o

O O 50

,z 45

c -o 50 ]: P-O010 sl-o 22 ~ . 40 , %

N;-0 66 Cr-051 Mo-0 22 0

O ~ 0 - 35

\o 25

1 I I I I I I I 400 600 800 1000 1200

TEMPERING TEMPERATURE,~ (ONE HOUR)

F i g . 1 9 - - C o m p a r i s o n of t h e m e a s u r e d ( c u r v e ) a n d e s t i m a t e d (po in t s ) h a r d n e s s o f t e m p e r e d m a r t e n s i t e i n a n A I S I 8650 s t e e l .

TEMPERING TEMPE RATURE,~

200 300 400 500 600

6001 ~ 0 1 I I I

C-043 Mn-6 74 P-0 019 SI-0 23

Cr-0 92 V-016

300 %

%

700

50

45

4o

z a: <

-- 35 I

- 3o

0

25

20

I I I I I I I I 400 600 800 I(}00 1200

TEMPERING TEMPERATURE,~ (ONE HOUR)

F i g . 2 0 - - C o m p a r i s o n of t h e m e a s u r e d a n d e s t i m a t e d h a r d n e s s of t e m p e r e d m a r t e n s i t e i n AISI 6145 s t e e l .

M E T A L L U R G I C A L T R A N S A C T I O N S A VOLUME 8A, NOVEMBER 1 9 7 7 - 1 7 8 3

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The method of estimation, developed by using an 0,2 pct carbon steel, appears to be as sat isfactory for medium and high carbon steels as for low carbon steels. This indicates that the quantitative effect of each of the alloying elements is independent of carbon content, at least over the 0.2 to 0.8 pct carbon range investigated, Estimated hardness values are least reliable for 400 to 600~ (204 to 316~ tempering, al- though for some steels, they agreed well with meas- ured values, In this tempering range, hardness would logically be least predictable f rom chemical composi- tion because other factors are probably important. For example, when martensite is tempered below 600~ (316~ retained austenite is usually not t rans- formed, and quench tempering effects occur. Fur ther- more, 400 (204~ to 600~ is the range in which ep- silon is converted to cementite type carbide. These changes are affected by such variables as austenitizing temperature, specimen size, and severi ty of the quench,

No attempt has been made to establish the predicted e r ro r of this technique for calculating the hardness of tempered martensite, but the resul ts given in Figs. 18 through 20 should provide the reader with an ap- preciation of the magnitude of the e r ro r that might be expected. In general, the accuracy with which the hardness of tempered martensite can be estimated f rom chemical composition by the method developed in this investigation is good and the method is eas ier to use and more reliable than ear l ier methods of es - timating the hardness of tempered martensite f rom chemical compositions.

Conversion to Other Tempering Times

In this investigation, all hardness values, experi- mentally determined as welt as estimated, are for a tempering time of 1 h. Such data are easily con- verted to a hardness value for any other tempering time through the use of the so-called tempering par- ameter , 4'8 A chart, Fig. 21, reproduced from an ear l ier study, 4 makes it possible to determine the hardness for tempering treatments either shor ter or longer than 1 h. The basis for the conversion is that all combinations of tempering temperature and tem- pering time having the same parameter value will have essentially the same hardness. Thus, the chart is used by locating the 1 h tempering treatment and reading vert ically up the constant-parameter ordinate line for times greater than one hour and down the same ordinate for t imes less than one hour. In this way, the tempering curve for any other desired tem- pering time, or any portion thereof, can be deter- mined f rom the one-hour tempering curve.

Hardness Conversion

The method proposed for estimating the hardness of tempered martensite yields a diamond pyramid hardness (HV) number rather than the more common Rockwell C scale (R e) number. Hardness measure- ments were made with the diamond pyramid hardness tester because this method is more precise and be- cause the same scale encompasses both very hard and very soft steel. An HV hardness increase (zXI-IV) due to an alloy addition cannot be shown as an equiva-

I 7 8 4 - V O L U M E 8A, NOVEMBER. I977

-4

10~

O2

o, i /

t5

!/x// / ....

ij-I ,/ .... i l~ / iltitll // ::

i1,1111/1 t l /

= (T F -32) /1 8 T

20 30 35

PARAMETER~ (F + 460)(18 + ~o9 of t~me Jn hour~} • 10 3

Fig. 21--Chart showing relationship of tempering parameter to temperature and time.

lent RC hardness increase on an auxiliary scale on the charts because the R C increase value varies with the hardness of the base steel. Therefore, all est ima- tion is made in terms of HV hardness, and to convert the result ing estimated HV hardness to the more com- mon RC, or Bhn, o r R B values, a conversion chart is required.

Extrapolation

Based on the comparisons of measured and esti- mated Imrdnesses of tempered martensite in several alloy steels, alloying element interaction effects were not s t rong enough to be significant, probably be- cause the maximum amount of each element considered was limited to the amount present in most AISI low alloy steels. This result, however, provides no as- surance that extrapolating the composition range, for purposes of estimation, beyond that given in Figs. 8 through 17, will be reliable.

The method proposed for estimating the hardness of tempered martensite from chemical composition is valid only for steel quenched to martensite. Steel products that contain ferr i te or pearlite (slack quenched) wilt usually be softer than the estimated value, especially at low tempering temperatures . In a steel product that, when tempered, is substantially softer than the estimated hardness value, the presence of slack quenched transformation products or undis- solved carbides should be suspected.

METALLURGICAL TRANSACTIONS A

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SUMMARY

The h a r d n e s s of quenched m a r t e n s i t e and of t em- pe red m a r t e n s i t e was d e t e r m i n e d for a s e r i e s of i ron ca rbon a l loys with ca rbon content va ry ing over the range 0.1 to 1 pct. The quant i ta t ive effects of m a n - ganese, phosphorus, s i l i com nickel , ch romium, molyb- denum, and vanadium was evaluated by adding gradual amounts of the e l emen t be ing studied to a s t ee l con- ta in ing about 0.2 pct ca rbon (when s tudying al loys other than manganese , the base composi t ion a lso contained 0.3 or 0.5 pct manganese) . The range of composi t ions inves t iga ted included the amounts and kinds of chemi- cal e l emen t s p r e s e n t in mos t AISI grades of carbon and low alloy s teel .

Fo r m a r t e n s i t e in the un tempered condit ion, none of the a l loying e l emen t s invest igated i n c r e a s e d ha rdness , but on t empe r ing above 400~ (204~ they al l r e - Larded softening. The i nc rea sed ha rdnes s of the t e m - pered s tee l s due to aUoying e lements va r i ed great ly , depending on the amount and kind of each e lement , and usua l ly with t empe r ing t e m p e r a t u r e . Only phosphorus and n ickel had e s sen t i a l l y the s ame effect at a l l t e m - pe r ing t e m p e r a t u r e s above 400~ (204~ The g rea tes t effect of s i l i con occu r r ed when m a r t e n s i t e was t em- pe red at 600~ (316~ The g rea tes t effect of man- ganese o c c u r r e d over the t e m p e r i n g t e m p e r a t u r e range of 800 to 1200~ (427 to 649~ F o r the s t rong carb ide fo rming e l emen t s , the t e m p e r i n g t e m p e r a t u r e

of g rea tes t ha rdness i n c r e a s e was 800~ (427~ for ch romium, 1000 or l l 0 0 ~ (538 or 592~ for molybde- num, and 1200~ (649~ for vanadium. Vanadium was the mos t potent a l loying e l e me n t at t e m p e r i n g t em- p e r a t u r e s above 600~ (316~

On the ba s i s of the data for F e - C al loys , the quant i - tat ive effect of the amount of each a l loying e l emen t p r e s e n t in a s tee l within the ranges inves t iga ted can be added to provide an es t ima te of the ha rdnes s of t e m p e r e d m a r t e n s i t e in a wide va r i e ty of ca rbon and alloy s t ee l s . Compar i son of e s t ima ted t e m p e r i n g cu rves for a n u m b e r of ca rbon and alloy s tee l s with those de t e rmined expe r imen ta l ly indicated that the e s t ima t ion is suff ic ient ly accura te to be useful as a subs t i tu te for t r i a l t e mpe r i ng t r e a t m e n t s provided that the s t ee l product is quenched to m a r t e n s i t e f r ee of any apprec iab le amount of f e r r i t e or pea r l i t e .

REFERENCES

1. J. H. Hollomon and L D. Jaffe. Ferrous Metallurgwal Design, John Wiley and Sons, Inc., 1947, p 2.

2. E. C. Barn and H W. Paxton. The Alloying Elements in Steel, 2nd ed., Amen- can Society for Metals, Metals Park, Ohao, 1961.

3. W. Crafts and V. L Lamont: Trans. AIMS; 1949, vol 180, pp+ 471-512. 4. R. A Grange and R W. Baughman. Trans ASM, 1956, vol. 48, pp. 165-97. 5 L. D. Jaffe and E, Gordon: Trans. ASM, 1957, vol. 49, pp. 359-71. 6 G. R. Speich and W. C. Leshe" Met. Trans., 1972, vol. 3, pp, 1043-54. 7. A G. AUten and P. Payson: Trans. ASM, 1953, vol. 45, pp. 498-532, 8. J. H. Hotlomon and L D. Jaffe Trans. TMS-AIME, 1945, vol. 162, pp. 223-49.

METALLURGICAL TRANSACTIONS A VOLUME 8A, NOVEMBER 1977-1785