Abstract
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.
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Abbreviations
- Ac3 :
-
Heating temperature at point A3 (°C)
- T :
-
Oven temperature (°C)
- ORT:
-
Oven residence time (min)
- HTC:
-
Heat transfer coefficient (W m−2 K−1)
- RaD :
-
Rayleigh number
- Nu:
-
Nusselt number
- Pr:
-
Prandtl number
- k :
-
Thermal conductivity of the material (W m−1 K−1)
- T s :
-
Surface temperature of the material (°C)
- T ∞ :
-
Ambient air temperature (°C)
- D :
-
Diameter of the specimen (mm)
- ϑ :
-
Kinematic viscosity (m2 s−1)
- α :
-
Thermal diffusivity (m2 s−1)
- g :
-
Gravitational acceleration (m s−2)
- T f :
-
Average temperature between Ts and T∞ (°C)
- Bi:
-
Biot number
- h :
-
Thermal transfer coefficient (W m−2 K−1)
- C p :
-
Specific heat (J kg−1 K−1)
- ρ :
-
Density (kg m−3)
- S :
-
Surface of the sample (m2)
- V :
-
Volume of the sample (m3)
- S y :
-
Offset yield strength (MPa)
- S u :
-
Ultimate tensile strength (MPa)
- E r :
-
Elongation at break (mm mm−1)
- \({\mathcal{H}}\) :
-
Hardness, HRC (Rockwell C)
- P :
-
Prediction polynomial
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Fakir, R., Barka, N. & Brousseau, J. Mechanical Properties Analysis of 4340 Steel Specimen Heat Treated in Oven and Quenching in Three Different Fluids. Met. Mater. Int. 24, 981–991 (2018). https://doi.org/10.1007/s12540-018-0120-9
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DOI: https://doi.org/10.1007/s12540-018-0120-9