Abstract
Hardness values as well as yield and tensile strength values were compiled for over 150 nonaustenitic, hypoeutectoid steels having a wide range of compositions and a variety of microstructures. The microstructures include ferrite, pearlite, martensite, bainite, and complex multiphase structures. The yield strength of the steels ranged from approximately 300 MPa to over 1700 MPa. Tensile strength varied over the range of 450-2350 MPa. Regression analysis was used to determine the correlation of the yield strength and the tensile strength to the diamond pyramid hardness values for these steels. Both the yield strength and tensile strength of the steels exhibited a linear correlation with the hardness over the entire range of strength values. Empirical relationships are provided that enable the estimation of strength from a bulk hardness measurement. A weak effect of strain-hardening potential on the hardness-yield strength relationship was also observed.
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References
D. Tabor, The Hardness and Strength of Metals, J. Inst. Met., 79, 1951, p 1–18
M.C. Shaw, G.J. DeSalvo, A New Approach to Plasticity and Its Application to Blunt Two Dimensional Indenters, Trans. ASME J. Eng. Ind., 92, 1970, p 469–479
M.C. Shaw, G.J. DeSalvo, The Role of Elasticity in Hardness Testing, Met. Eng. Quart., 12, 1972, p 1–7
The Science of Hardness Testing, J.H. Westbrook and H. Conrad, Eds., American Society for Metals, Metals Park, Ohio, USA, 1973, p 75–79
J.R. Cahoon, W.H. Broughton, A.R. Kutzak, The Determination of Yield Strength from Hardness Measurements, Metall. Trans., 2, 1971, p 1979–1983
J.R. Cahoon, An Improved Equation Relating Hardness to Ultimate Strength, Metall. Trans., 3, 1972, p 3040
C.Y. Hsu, Correlation of Hot-Microhardness with Elevated-Temperature Tensile Properties of Low Activation Ferritic Steel, J. Nucl. Mater., 141–143, 1986, p 518–522
J. Moteff, R.K. Bhargava, W.L. McCullough, Correlation of the Hot-Hardness With the Tensile Strength of 304 Stainless Steel to Temperatures of 1200 °C, Metall. Mater. Trans. A, 6A, 1975, p 1101–1104
L. Addessio, “The Effect of Strain Rate and Tempering on the Mechanical Properties of Low Carbon Martensite,” MS Thesis T-6267, Colorado School of Mines, Golden, Colorado, 2007
N.E. Aloi, “Hot Deformation, Microstructure, and Property Analysis of Ferritic/Pearlitic and Bainitic Microalloyed Forging Steels,” MS Thesis T-4617, Colorado School of Mines, Golden, Colorado, 1994
P.I. Anderson, “Induction Hardening Response of Ferrite and Pearlite Banded Steel,” MS Thesis T-6083, Colorado School of Mines, Golden, Colorado, 2005
S.F. Biagiotti, “Effect of Nickel on Sulfide Stress Cracking Resistance in Steels,” MS Thesis T-4486, Colorado School of Mines, Golden, Colorado, 1994
J. Cross, “Effects of Microstructure on the Fire-resistant Properties of HSLA Structural Steels,” MS Thesis T-6102, Colorado School of Mines, Golden, Colorado, 2006
J.L. Cunningham, “Effects of Induction Hardening and Prior Cold Work on a Microalloyed Medium-carbon Steel,” MS Thesis T-4916, Colorado School of Mines, Golden, Colorado, 1996
B.A. James, “Interactive Effects of Phosphorus and Tin on Carbide Evolution and Fatigue and Fracture Properties in 5160 Steel,” PhD Thesis T-4616, Colorado School of Mines, Golden, Colorado, 1994
J.A. Johnson, “Fatigue of Microalloyed Bar Steels,” MS Thesis T-5285, Colorado School of Mines, Golden, Colorado, 1999
J.S. Keske, “Reheat-cracking Sensitivity in ASTM A514 Steels as Influenced by Sulfur and Boron,” MS Thesis T-5279, Colorado School of Mines, Golden, Colorado, 1999
B.G. Kirby, “Microstructural and Performance Optimization of Microalloyed Bar and Forging Steels,” MS Thesis T-4287, Colorado School of Mines, Golden, Colorado, 1992
M.J. Leap, “The Effects of Forging on the Microstructural Development, Strength, and Dynamic Fracture Behavior of Microalloyed Ferrite-Pearlite Steels,” MS Thesis T-3276, Colorado School of Mines, Golden, Colorado, 1987
M.J. Merwin, “The Effects of Titanium Nitride Particles and Free Nitrogen on the Heat-affected Zone Toughness of API-2Y Type Plate Steels,” PhD Thesis T-4961, Colorado School of Mines, Golden, Colorado, 1997
A.J. Nagy Bailey, “Effects of Silicon and Retained Austenite on Direct-cooled Microalloyed Forging Steels with Bainitic Microstructures,” MS Thesis T-4709, Colorado School of Mines, Golden, Colorado, 1995
E.J. Pavlina, “Assessment of the Mechanical Properties of Dual Phase Steels in Tubular Products,” MS Thesis T-6271, Colorado School of Mines, Golden, Colorado, 2007
S.A. Richardson, “The Effects of Thermal Processing on the Microstructure and Mechanical Properties of HSLA-100 Plate Steel,” MS Thesis T-3949, Colorado School of Mines, Golden, Colorado, 1990
E.J. Schultz, “The Effect of the Hot-roll Reduction Ratio on Fully Reversed Axial Fatigue Properties of a Continuously-cast and Hardened 4140 Steel,” MS Thesis T-4267, Colorado School of Mines, Golden, Colorado, 1992
D.A. Shepherd, “The Effect of Strain Rate on the Hot Deformation Behavior of Microalloyed Bar Steels at Warm Forging Temperature,” MS Thesis T-4196, Colorado School of Mines, Golden, Colorado, 1999
L.P. Turner, “The Relationship of Friction, Formability and Normal Anisotropy in SAE 1012 Modified Steel,” MS Thesis T-4554, Colorado School of Mines, Golden, Colorado, 1994
M. Walp, “Fire-Resistant Steels for Construction Applications,” MS Thesis T-5782, Colorado School of Mines, Golden, Colorado, 2002
G.C. Yerby, “The Effects of Direct Quenching after Forging on the Mechanical Properties of Medium-Carbon Steel,” MS Thesis T-4901, Colorado School of Mines, Golden, Colorado, 1996
“Hardness Conversion Tables for Metals Relationship Among Brinell Hardness, Vickers Hardness, Rockwell Hardness, Superficial Hardness, Knoop Hardness, and Scleroscope Hardness,” E 140-05 2005, Annual Book of ASTM Standards, vol. 3.01. American Society for Testing and Materials, West Conshohocken, Pennsylvania, USA, p 308–328
W.D. Callister Jr., Materials Science and Engineering, 5th Ed., John Wiley and Sons, New York, NY, USA, 2000, p 139–140
R. Clark Jr., B. Coughran, I. Traina, A. Hernandez, T. Scheck, C. Etuk, J. Peters, E.W. Lee, L. Ogren, O.S. Es-Said, On the Correlation of Mechanical and Physical Properties of 7075-T6 Al Alloy. Eng. Fail. Anal., 12, 2005, p 520–526
C.H. Cáceres, J.R. Griffiths, A.R. Pakdel, C.J. Davidson, Microhardness Mapping and the Hardness-Yield Strength Relationship in High-pressure Diecast Magnesium Alloy AZ91, Mater. Sci. Eng. A 402, 2005, p 258–268
C.H. Cáceres, W.J. Poole, A.L. Bowles, C.J. Davidson, Section Thickness, Macrohardness and Yield Strength in High-pressure Diecast Magnesium Alloy AZ91, Mater. Sci. Eng. A 402, 2005, p 269–277
Acknowledgment
The authors gratefully acknowledge B.S. Levy and K.D. Clarke for helpful discussions about the data analysis.
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Pavlina, E., Van Tyne, C. Correlation of Yield Strength and Tensile Strength with Hardness for Steels. J. of Materi Eng and Perform 17, 888–893 (2008). https://doi.org/10.1007/s11665-008-9225-5
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DOI: https://doi.org/10.1007/s11665-008-9225-5