Steel Forming and Heat Treating Handbook - Antonio Gorni On Line

178 Pages·2015·1.56 MB·English

by  Antonio Augusto Gorni

STEEL FORMING AND

HEAT TR EATING

HAND BOOK

Antonio Augusto Gorni
Socorro SP
Brazil

[email protected]
www.gorni.eng.br

This Edition: 13 December 2019
Gorni Steel Forming and Heat Treating Handbook i

FOREWORD

This is a compilation of some useful mathematical formulas, graphics and data in the area of forming, heat treatment and
physical metallurgy of steels. The very first version arose in the early eighties, as a handwritten sheet with a few formulas.
Afterwards it was converted to a digital format and eventually posted on-line, hoping that it could be also helpful worldwide.
It must be noted that these formulas were compiled at random, generally in a need-to-know basis. So, this Handbook is in
permanent construction and very far to be complete. Finally, the author thanks Seok-Jae Lee, Assistant Professor of the
Chonbuk National University, Republic of Korea, for his contribution.

DISCLAIMER

The formulas and information c ompiled in this text are provided
without warran ty of any kind.

Use them at y our own risk!

However, any help regarding the correction of eventual mistakes
is appr eciated.

A Work in Progress
First On-Line Release: 09 October 2003
Gorni Steel Forming and Heat Treating Handbook ii

SUMMARY

- Austenite Formation Temperatures ............................................................................................................................ 1
- Austenite Grain Size After Heating ............................................................................................................................. 9
- Austenite Hardenability: Critical Diameter ............................................................................................................... 10
- Austenite Hardenability: Martensite Formation Critical Cooling Rate ....................................................................... 11
- Austenite No-Recrystallization Temperature ............................................................................................................. 13
- Austenite Solubility Products ................................................................................................................................... 18
- Austenite Solubilization: Solid Solution ................................................................................................................... 25
- Austenite Solubilization: Temperature ..................................................................................................................... 27
- Austenite Transformation Temperatures: Ferrite Start and Finish ............................................................................ 29
- Austenite Transformation Temperatures: Pearlite Start and Finish .......................................................................... 48
- Austenite Transformation Temperatures: Bainite Start and Finish ........................................................................... 51
- Austenite Transformation Temperatures: Martensite Start and Finish...................................................................... 63
- Cooling Rate of Flat Products of Steel ...................................................................................................................... 81
- Density of Bulk Steel at Ambient Temperature ......................................................................................................... 82
- Density of Bulk Steel at High Temperature .............................................................................................................. 84
- Density of Liquid Steel ............................................................................................................................................. 87
- Density of Microstructural Constituents at Ambient Temperature ............................................................................ 88
- Density of Microstructural Constituents at High Temperature ................................................................................. 92
- Dimensional Changes during Austenite Transformation ........................................................................................... 95
- Equivalent Carbon – H.A.Z. Hardenability ................................................................................................................ 98
- Equivalent Carbon – Hydrogen Assisted Cold Cracking .......................................................................................... 102
- Equivalent Carbon – Peritectic Point ...................................................................................................................... 107
- Fe-C Equilibrium Diagram ..................................................................................................................................... 112
- Fe-C Equilibrium Equations in the Solidification and Eutectoid Range................................................................... 113
Gorni Steel Forming and Heat Treating Handbook ii
- Ferrite Solubility Products ..................................................................................................................................... 115
- Hardness After Austenite Cooling .......................................................................................................................... 117
- Hardness After Tempering ..................................................................................................................................... 127
- Hardness After Welding ......................................................................................................................................... 128
- Hardness-Tensile Properties Equivalence ............................................................................................................... 130
- Hot Strength of Steel ............................................................................................................................................. 133
- Jominy Curves ..................................................................................................................................................... 146
- Lattice Parameters of Phases ................................................................................................................................. 148
- Liquid Steel Solubility Products ............................................................................................................................. 150
- Liquidus Temperature of Steels ............................................................................................................................. 151
- Niobium Carbide Precipitation During Rolling ........................................................................................................ 152
- Poisson Ratio ......................................................................................................................................................... 153
- Precipitate Isothermal Solubilization Kinetics......................................................................................................... 154
- Relationships Between Chemical Composition x Process x Microstructure x Properties .......................................... 158
- Schaeffler Diagram ................................................................................................................................................ 178
- Shear Modulus of Steel and its Phases .................................................................................................................. 179
- Sheet and Plate Cutting Force and Work ................................................................................................................ 181
- Solidus Temperature of Steels ............................................................................................................................... 184
- Specimen Orientation for Mechanical Testing ........................................................................................................ 186
- Steel Properties Map .............................................................................................................................................. 188
- Thermal Properties of Steel .................................................................................................................................... 189
- Thermal Properties of Steel Scale ........................................................................................................................... 197
- Thermomechanical Processing of Steel ................................................................................................................... 198
- Time-Temperature Equivalency Parameters for Heat Treating ................................................................................ 199
- Welding Effects ...................................................................................................................................................... 203
- Welding Pool Phenomena ....................................................................................................................................... 204
Gorni Steel Forming and Heat Treating Handbook iii
- Young Modulus ..................................................................................................................................................... 205
- Greek Letters ......................................................................................................................................................... 208
- Statistical Formulas - General ............................................................................................................................... 209
- Trigonometry ......................................................................................................................................................... 211
- Unit Conversions ................................................................................................................................................... 212
- Useful Data and Constants .................................................................................................................................... 214
Gorni Steel Forming and Heat Treating Handbook 1
- Austenite Formation Temperatures

. Andrews

Ae = 723−16.9 Ni +29.1Si +6.38W −10.7 Mn +16.9Cr +290As
1

Ae = 910− 203 C + 44.7 Si −15.2 Ni + 31.5 Mo +104V +13,1W −30.0 Mn +11.0 Cr + 20.0 Cu − 700 P − 400 Al −120 As −
3
− 400Ti

Notation:
Ae : Lower Equilibrium Temperature Between Ferrite and Austenite [°C]
1
Ae : Upper Equilibrium Temperature Between Ferrite and Austenite [°C]
3
Alloy Content: [weight %]

Observations:
- Both formulas are valid for low alloy steels with less than 0.6%C.

Source: ANDREWS, K.W. Empirical Formulae for the Calculation of Some Transformation Temperatures. Journal of the
Iron and Steel Institute, 203, Part 7, July 1965, 721-727.

. Brandis

Ac = 739−22C −7 Mn+2Si+14Cr +13Mo −13Ni +20V
1

Ac = 902− 255C −11Mn +19Si− 5Cr +13Mo − 20 Ni +55V
3

Notation:
Ae : Lower Equilibrium Temperature Between Ferrite and Austenite [°C]
1
Ae : Upper Equilibrium Temperature Between Ferrite and Austenite [°C]
3
Gorni Steel Forming and Heat Treating Handbook 2
Alloy Content: [weight %]

Source: BRANDIS, H. Rechnerische Bestimmung der Umwandlungstemperaturen von niedriglegierten Stählen. TEW –
Technische Berichte, Band 1, Heft 1, 1975, 8-10.

. Eldis

Ae = 712−17.8 Mn −19.1 Ni + 20.1Si +11.9 Cr + 9.8 Mo
1

Ae = 871− 254.4 C −14.2 Ni + 51.7 Si
3

Notation:
Ae : Lower Equilibrium Temperature Between Ferrite and Austenite [°C]
1
Ae : Upper Equilibrium Temperature Between Ferrite and Austenite [°C]
3
Alloy Content: [weight %]

Observations:
- Both formulas were proposed by ELDIS for low alloy steels with less than 0.6%C.

Source: BARRALIS, J. & MAEDER, G. Métallurgie Tome I: Métallurgie Physique. Collection Scientifique ENSAM,
1982, 270 p.

. Grange

Ae =1333− 25 Mn + 40 Si + 42Cr − 26 Ni
1

Ae =1570− 323C − 25 Mn +80Si − 3Cr − 32 Ni
3
Gorni Steel Forming and Heat Treating Handbook 3
Notation:
Ae : Lower Equilibrium Temperature Between Ferrite and Austenite [°F]
1
Ae : Upper Equilibrium Temperature Between Ferrite and Austenite [°F]
3
Alloy Content: [weight %]

Source: GRANGE, R.A. Estimating Critical Ranges in Heat Treatment of Steels. Metal Progress, 70:4, April 1961, 73-75.

. Hougardy

Ac = 739−22C −7 Mn+2Si +14Cr +13Mo −13 Ni
1

Ac =902− 255C −11Mn +19 Si −5 Cr +13Mo− 20 Ni +55V
3

Notation:
Ac : Lower Temperature of the Ferrite-Austenite Field During Heating [°C]
1
Ac : Upper Temperature of the Ferrite-Austenite Field During Heating [°C]
3
Alloy Content: [weight %]

Source: HOUGARDY, H.P. Werkstoffkunde Stahl Band 1: Grundlagen. Verlag Stahleisen GmbH, Düsseldorf, 1984, p.
229.

. Kasatkin

Ac =723−7.08Mn +37.7 Si+18.1Cr + 44.2 Mo + 8.95Ni +50.1V +21.7 Al +3.18W + 297S −830N −11.5C Si−14.0 Mn Si−
1
−3.10SiCr −57.9C Mo −15.5Mn Mo −5.28C Ni −6.0 Mn Ni + 6.77Si Ni −0.80Cr Ni − 27.4CV +30.8MoV −0.84Cr2 −
−3.46Mo2 −0.46 Ni2 − 28V2

Observations:
Gorni Steel Forming and Heat Treating Handbook 4
- Multiple Correlation Coefficient r = 0.96
- Residual Mean-Square Deviation √d = 10.8°C
o

Ac =912−370C −27.4 Mn + 27.3Si−6.35Cr − 32.7 Ni +95.2V +190Ti + 72.0 Al +64.5 Nb +5.57W +332S + 276P + 485N −
3
−900B +16.2C Mn +32.3C Si+15.4C Cr + 48.0C Ni + 4.32SiCr −17.3Si Mo −18.6 Si Ni + 4.80Mn Ni + 40.5MoV +
+174C2 + 2.46Mn2 −6.86Si2 + 0.322Cr2 +9.90Mo2 +1.24 Ni2 −60.2V2

Observations:
- Multiple Correlation Coefficient r = 0.98
- Residual Mean-Square Deviation √d = 14.5°C
o

T =188−370C −7.93Mn − 26.8Cr −33.0 Mo − 23.5 Ni +52.5V +194Ti + 47.8 Al +87.4 Nb +3.82W + 266P +53.0C Si+

+ 20.7C Cr + 6.26SiCr + 64.2C Mo +55.2C Ni +10.8Mn Ni +1.33Cr2 +8.83Mo2 +1.91Ni2 −37.8V2

Notation:
Ac : Upper Temperature of the Ferrite-Austenite Field During Heating [°C]
1
Ac : Upper Temperature of the Ferrite-Austenite Field During Heating [°C]
3
ΔT: Intercritical Temperature Range [°C]
Alloy Content: [weight %]

Observations:
- Multiple Correlation Coefficient r = 0.97
- Residual Mean-Square Deviation √d = 16.8°C
o
- These equations (Ac , Ac , ΔT) are valid within these composition limits: C ≤ 0.83%, Mn ≤ 2.0%, Si ≤ 1.0%, Cr ≤
1 3
2.0%, Mo ≤ 1.0%, Ni ≤ 3.0%, V ≤ 0.5%, W ≤ 1.0%, Ti ≤ 0.15%, Al ≤ 0.2%, Cu ≤ 1.0%, Nb ≤ 0.20%, P ≤ 0.040%, S
≤ 0.040%, N ≤ 0.025%, B ≤ 0.010%.

Source: KASATKIN, O.G. et alii. Calculation Models for Determining the Critical Points of Steel. Metal Science and Heat
Treatment, 26:1-2, January-February 1984, 27-31.
Gorni Steel Forming and Heat Treating Handbook 5

. Kunitake & Katou

Ac = 754.83−32.25C −17.76 Mn+23.32Si +17.3Cr +4.51Mo +15.62V
1

Ac = 920.21−394.75C −14.40 Mn+54.99Si +5.77 Cr + 24.49Mo +83.37V
3

= 0.0617+ 0.233C + 0.025Mn−0.049Si + 0.027Cr −0.050Mo −0.061V

Notation:
Ac : Lower Temperature of the Ferrite-Austenite Field During Heating [°C]
1
Ac : Upper Temperature of the Ferrite-Austenite Field During Heating [°C]
3
δ: Length Change Due to Transformation [%]
Alloy Content: [weight %]

Observations:
- Equation valid within the following alloy range: 0.25%  C  0.45%; 0.7  Mn  1.2%; 0.6  Si  3.1%; 0.8  Cr 
2.9%; 0.2  Mo  0.9%; V  0.4%.

Source: KUNITAKE, T. & KATOU, T. Effect of Various Alloying Elements on Si-Cr-Mo-V Steel. Tetsu-to-Hagané,
50:4, 1964, 666-668.

. Lee

A = 224.4 +992.4C − 465.1C2 + 46.7Cr +19.0C Cr −6.1Cr2 + 7.6 Mn +10.0 Mo −6.8Cr Mo −6.9 Ni +3.7C Ni − 2.7Cr Ni +
cm

+ 0.8 Ni2 +16.7 Si

Notation:
A : Upper Equilibrium Temperature Between Ferrite and Cementite [°C]
cm