Metals and Materials International

, Volume 24, Issue 5, pp 981–991 | Cite as

Mechanical Properties Analysis of 4340 Steel Specimen Heat Treated in Oven and Quenching in Three Different Fluids

  • Rachid FakirEmail author
  • Noureddine Barka
  • Jean Brousseau


This paper proposes a statistical approach to analyze the mechanical properties of a standard test specimen, of cylindrical geometry and in steel 4340, with a diameter of 6 mm, heat-treated and quenched in three different fluids. Samples were evaluated in standard tensile test to access their characteristic quantities: hardness, modulus of elasticity, yield strength, tensile strength and ultimate deformation. The proposed approach is gradually being built (a) by a presentation of the experimental device, (b) a presentation of the experimental plan and the results of the mechanical tests, (c) anova analysis of variance and a representation of the output responses using the RSM response surface method, and (d) an analysis of the results and discussion. The feasibility and effectiveness of the proposed approach leads to a precise and reliable model capable of predicting the variation of mechanical properties, depending on the tempering temperature, the tempering time and the cooling capacity of the quenching medium.


Heat treatment in an oven Tensile test AISI-4340 ANOVA RSM 

List of symbols


Heating temperature at point A3 (°C)


Oven temperature (°C)


Oven residence time (min)


Heat transfer coefficient (W m−2 K−1)


Rayleigh number


Nusselt number


Prandtl number


Thermal conductivity of the material (W m−1 K−1)


Surface temperature of the material (°C)


Ambient air temperature (°C)


Diameter of the specimen (mm)


Kinematic viscosity (m2 s−1)


Thermal diffusivity (m2 s−1)


Gravitational acceleration (m s−2)


Average temperature between Ts and T (°C)


Biot number


Thermal transfer coefficient (W m−2 K−1)


Specific heat (J kg−1 K−1)


Density (kg m−3)


Surface of the sample (m2)


Volume of the sample (m3)


Offset yield strength (MPa)


Ultimate tensile strength (MPa)


Elongation at break (mm mm−1)


Hardness, HRC (Rockwell C)


Prediction polynomial


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Copyright information

© The Korean Institute of Metals and Materials 2018

Authors and Affiliations

  • Rachid Fakir
    • 1
    Email author
  • Noureddine Barka
    • 1
  • Jean Brousseau
    • 1
  1. 1.Mathematics, Computer Science and Engineering DepartmentUniversité du Québec à Rimouski, CanadaRimouskiCanada

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