behaviour of structural carbon steel at high temperatures

Upload: surajit-paul

Post on 05-Jul-2018

214 views

Category:

Documents


0 download

TRANSCRIPT

  • 8/16/2019 Behaviour of Structural Carbon Steel at High Temperatures

    1/10

    Journal of Materials Science and Engineering A 2 (7) (2012) 501-510

    Behaviour of Structural Carbon Steel at High

    Temperatures

    Juan Antonio Trilleros Villaverde and Irene Huertas González Department of Materials Science and Metallurgical Engineering, Universitas Complutensis of Madrid, Ciudad Universitaria s/n,

    Madrid 28040, Spain

    Received: May 19, 2011 / Accepted: June 08, 2011 / Published: July 10, 2012.

    Abstract: The research develops an experimental study on two carbon steels used for construction of structures on civil works,S355NL and S460NL, to high temperatures with values ranging between 500 °C and 950 °C. In order to obtain experimental evidence

    of behavior of steels at elevated temperatures, the chemical and structural characterizations and tested steels were made, deducing thefound microstructures and average grain sizes measured. Tensile tests at elevated temperatures were made and steels mechanical properties were deducted at different temperatures. Also hardness steels tests were made. Creep and plastic deformation phenomenawere observed from micrography and fractography studies.

    Key words: Structural steel at high temperature, behavior of steels at elevated temperatures, mechanical properties for steel at hightemperature.

    1. Introduction

    The weldability of fine grain structural steels

    respond to the requirements of the standard EN

    10025-3: 2006 [1], defines four levels of mechanical

    properties, S275, S355, S420 and S460, where the

    numbers represent the minimum yield strength in MPa.

    Each quality can be delivered with properties of

    resilience are guaranteed to -20 °C (N grades) or -50 °C

    for applications at low temperatures (NL grades).

    These structural steels are hot rolled and produce a

    largest class of commercial steels from 0.05 to 0.20

    weight percent of carbon. Their most typical

    applications are bridges, electrical towers, otherarchitectural structures and buildings.

    The process of hot strip rolling of low carbon steels

    can be subdivided into three stages; reheating, rolling

    and cooling; and the metallurgical phenomena which

    occur in these processing steps are the recrystallization

    and grain growth in austenite, the austenite-ferrite

    Corresponding author: Juan Antonio Trilleros Villaverde,Ph.D., professor, research field: behaviour of structural carbonsteel at high temperatures. E-mail: [email protected].

    phase transformation and the precipitation. The two

    last stages essentially determine the mechanical steel

    properties, which depend on the character of the

    transformation products (ferrite and pearlite), and theferrite grain size [2-7].

    When a component that consists of a multiphase

    structure is subjected to thermal or mechanical loads

    that cause structural changes due to phase

    transformation, an assumption is made that the

    mechanical and physical properties of the material are a

    combination of the properties of the phases. During

    phase transformation, three types of parameters are

    dominant: temperature fields, phases of metallic

    structures and elastic or inelastic stress strainrelationship [8].

    The temperature to which the carbon steel is heated

    before cooling has begun determines the phases that are

    present at the beginning and the end of the cooling

    process [9]. For simulate the phase transformations

    Serajzadeh [10], proposed a model for predicting

    temperature history and microstructural changes

    during cooling steel. He took cognisance of the effects

    DAVI D PUBLISHING

    D

  • 8/16/2019 Behaviour of Structural Carbon Steel at High Temperatures

    2/10

    Behaviour of Structural Carbon Steel at High Temperatures502

    of a number of factors including initial austenite grain

    size and its role on the kinetics of pearlite and ferrite

    transformation, the amount of residual strain within the

    cooling material and heat of transformation. Also, it

    was observed that non-uniform cooling can cause

    inhomogeneous distribution of ferrite grain size in the

    final product. Slow cooling of steel to below the

    eutectoid temperature results in the formation of ferrite

    and cementite; this might appear as proeutectoid ferrite

    and a lamellar ferrite-cementite structure called pearlite,

    depending on the carbon content of the steel and the

    cooling rate. Slower cooling rates produce coarser

    microstructures.

    Grain size has a market influence on the mechanical properties of steel. Tensile strength, yield strength,

    toughness and hardenability can be altered by varying

    the grain size of steel [11]. Yield strength is the amount

    of stress at which plastic deformation becomes

    significant, besides grain size, yield strength is also

    influenced by other factors such as chemical

    composition, forming process and heat process [12].

    Yield strength varies proportionately with the square

    root of grain size.

    Hardness can be roughly defined as a measure of

    metal’s resistance to plastic deformation usually by

    penetration. Hardness can also be used as an indicator

    of a metal’s strength. The correlation of hardness with

    tensile strength is generally good. Sleboda [13] report

    that polycrystalline materials often show an increase in

    hardness and strength with decreasing grain size.

    Schiotz [14] showed that hardness of steel increases

    sharply for decreasing grain size, reaches a peak at a

    critical grain size and decreases inversely to the square

    root of grain size.

    The current work presents an experimental study of

    the behaviour of two structural carbon steels, both at

    room temperature as elevated temperature, from 500 °C

    to 950 °C at four different temperature levels. In the

    study have been available with sufficient material from

    hot strip rolling steels by Arcelor Mittal and perform

    the chemical and structural characterizations of steels

    (grain size and phases). Also have obtained mechanical

    properties of steels (tensile and hardness tests), and

    fractographic studies of steels tested. All this, whereas

    tests at room temperature and at four levels of high

    temperature, in order to have accurate information toenable further study the behavior of steels when they

    were being subjected under a fire test.

    2. Experiments

    2.1 Material Tested

    The work was carried out using two types of

    common structural steels, the steel grades in

    EUROCEDE 3, are based on the standard, [1]. The

    selection of tested material was S355NL and S460NL.The chemical composition is given on Table 1 and the

    mechanical properties on Table 2.

    2.2 Testing Program

    2.2.1 Samples Preparation for Microstructural

    Analysis

    Initially the steel samples, S355NL and S460NL, were

    200 × 100 × 20 mm. These specimens were cut to do

    Table 1 Chemical composition of steels tested.

    STEEL C% Si% Mn% P% S% Cr% Ni% Mo% Al% Cu% Co%S460NL 0.127 0.286 1.40 0.019 0.006 0.029 0.510 0.008 0.028 0.013 0.018S355NL 0.169 0.310 1.14 0.018 0.006 0.046 0.244 0.008 0.040 0.216 0.019

    Table 2 Mechanical properties of steel at room temperature.

    STEEL Effective yieldstrength (MPa)Elastic modulus(GPa)

    Proportional limit0.2%(MPa) Area reduction (%) Elongation (%)

    Rockwell Bhardness

    S355NL 555.8 203 353 75 12 82S460NL 560.9 218 407 77 13 86

  • 8/16/2019 Behaviour of Structural Carbon Steel at High Temperatures

    3/10

    Behaviour of Structural Carbon Steel at High Temperatures 503

    slice of 200 × 100 × 20 mm and it was taken different

    part of this slices to do the microstructural analysis

    along three directions (rolling, cross and longitudinal

    section according rolling sections).

    All samples were grinded with different sandpapers

    (320, 600, 1,200) and polished with diamond paste

    (3µm and 1µm). Then, Nital 2% was used (60%-62%

    nitric acid and ethyl alcohol 99.5%) to attack the

    samples. This solution was chosen because the

    material to be investigated was a plain carbon steel

    and the effect of Nital is darkens pearlite and give

    contrast between pearlite colonies, reveals ferrite

    boundaries and differentiates ferrite from martensite.

    2.2.2 Microstructural AnalysisThe steels samples of 200 × 100 × 20 mm were

    heated at constant temperatures, 620 °C, 820 °C and

    920 °C (firstly the furnace was programmed at

    required temperature, secondly the furnace reach the

    temperature and finally the specimens were introduced

    and it were stayed the optimal time was remained to

    reach the temperature, 30 min/pulgada) and

    subsequent cooling in air. Then, a microstructural

    study was done with the steels tested by light opticalmicroscope (LOM). This is one of the most commonly

    used techniques for microstructure characterization in

    steels. It was carried out using Nikon EPIPHOT 300

    light optical microscope equipped with software for

    image analysis. The S355NL and S460NL steels were

    characterized at room temperature and post-heating at

    elevated temperature.

    The grain size was calculated using the main linear

    intercept method (Heyn procedure) as described in

    UNE-EN ºC ISO 643 [15]. This technique is one of the

    numerous procedures within the field of stereology that

    have been developed to estimate average grain size,

    grain shape, grain distribution, grain orientation etc.

    Metallographic measurements are usually made in a

    2-D planar section of a volume and in this specific case,

    the average grain size calculations were based on

    measurements made on LOM micrographs.

    After tensile test with the samples tested a

    micrographic and fractographic study was done too. It

    was used a Nikon EPIPHOT 300 light optical

    microscope equipped with software for image analysis

    to see the microstructure and a scanning electron

    microscopy (SEM) JEOL 6400 JSM at the CNME

    which is a 35 kW machine offering resolution of up to

    10 nm to see the fracture area.

    2.2.3 Mechanical Analysis

    It was done the small-scale tensile test of S355NL

    and S460NL steels at room temperature and high

    temperature. In the tests, the samples studied,

    according UNE EN ISO 6892-1: 2009 [16], were

    heated up to a specified temperature (500 °C, 650 °C,

    800 °C and 950 °C) in electric furnace. After reaching

    the preselected temperature, around 21 °C/min,

    approximately 10 min was required for the temperature

    to stabilize and after the tensile test was carried out.

    The loading rate was kept constant of 0.025 mm/sec.

    Stress and stain values were first recorded and from the

    stress-strain curves the mechanical material properties

    could be determined. The testing device is illustrated in

    Fig. 1.

    Finally, hardness Rockwell B was used for testedsteels to know the resistance to plastic deformation by

    penetration. To do the hardness measurements it was

    used a hard steel indenter of 1/16 inch, 100 kg load,

    a pattern of HRB hardness 76.1 ± 1 and a preload of

    10 kg.

    3. Test Results

    3.1 Structural Analysis and Average Grain Size

    The micrographs shows that in the reception state

    and in the roll, longitudinal and cross section, both

    steels have a one-way striping of fine pearlite (dark

    bands), consisting of ferrite and cementite (Fe 3C) and

    ferrite (light bands). The average grain size of S460NL

    steel was about 8-9 μ m and the S355NL steel had a

    slightly higher grain size, about 9-10 microns. Both

    steels have an equiaxied shaped grains (Fig. 2).

    When steel is maintained during some time and at

    High temperatures, the austenite crystals tend to grow

  • 8/16/2019 Behaviour of Structural Carbon Steel at High Temperatures

    4/10

    Behaviour of Structural Carbon Steel at High Temperatures504

    Fig. 1 High-temperature tensile testing device.

    S355NL S460NL

    Fig. 2 LOM micrographs at room temperature of S355NL and S460NL steels (longitudinal section), × 100 and × 500.

    and increase its size. The growth is proportional to the

    temperature achieved and the time of heating. The size

    of the steel crystals after cooling, depend on the size

    of the austenite crystals reached during the heating

    time.

    For S460NL steel at 620 °C, according to the

    equilibrium diagram Fe-C, hasn´t a significant

    difference respect to the initial state. This was due it

    did not pass the austenitizing temperature around of

    723 °C where the pearlite transforms to austenite.

    Therefore the band structure remains and the grain size

    was still the order of 8 μ m (Fig. 3a). In the case of steel

    S355NL shows the same trend and keep the grain size

    in 10 μ m (Fig. 4a).

    At 820 °C the ferritic-pearlitic bands start to

    disappear. For this temperature the equilibrium

    diagram Fe-C shows a biphasic region where there is

    ferrite and some of pearlite has transformed in

    austenite. After cooling, the pearlite is redistributed.

    The ferrite grains and ferrite conglomerates start to

    (a) (b) (c)Fig. 3 LOM micrographs at (a) 620 °C, (b) 820 °C and (c) 920 °C of S355NL steel (longitudinal section), × 500.

    Thermocoples

    Test Piece

    Resistor Elements

  • 8/16/2019 Behaviour of Structural Carbon Steel at High Temperatures

    5/10

  • 8/16/2019 Behaviour of Structural Carbon Steel at High Temperatures

    6/10

    Behaviour of Structural Carbon Steel at High Temperatures506

    950 °C, were determined from the stress-strain curves

    and are presented on Table 4.

    For both steels were observed that the strength,

    modulus and the limit elastic decrease with thetemperature. At 500 °C and 650 °C, the mechanical

    behavior of S460NL steel is greater than S355NL steel.

    The elongation and reduction area present a uniform

    trend due to thermal creep phenomenon that develops

    during the test.

    The plastic deformation areas decrease very

    strongly with the temperatures tested. For temperature

    800 °C or above there is not plastic deformation and

    necking. For the temperature interval of 500 °C and

    650 °C, a plastic deformation occurs with formation of

    neck and reduction of maximum load resistance. For

    temperatures of 800 °C and 950 °C a plastic

    deformation develops along the total length of the

    sample and therefore also the necking. The

    deformation occurs at constant load and it matches

    with the maximum strength, (it will be seen later, in

    micrographic and fractographic studies in Fig. 9).

    The comparison between steels indicates that the

    S460NL steel tensile properties are greater thanS355NL ones. Therefore S460NL will be a more

    resistant steel with the temperature but its elongation is

    the same order that S355NL steel.

    In both steels, the grain size decreased slightly with

    temperature tested but its variation was not significant.

    The measures hardness just presented variation with

    temperatures tested. The hardness decreases slightly,

    the variation does not exceed 5%, this means that steels

    recover the property during the cooling process, bynatural convection and almost in equilibrium.

    In the fracture zone from tensile test, specific values

    have been measured for hardness RB, taking account

    that the measurement surface was very small due to

    the size and shape of the samples broken. For S355NL

    hardness values were 70, 63, 46, 31 and 25 RB for

    (20 °C, 500 °C, 650 °C, 800 °C and 950 °C) and for

    S460NL were 61, 63, 68, 66 and 45 RB at same

    temperatures. For the first steel, thoses hardness

    decrease significantly. While on the second steel,

    variation of hardness with the temperature remained

    almost constant in the tested interval except at 950 °C

    which declined. However, measures hardness

    decreases were lower with relationship to the first

    tested steel.

    Finally on the first graph of Fig. 6 is shown the

    experimental reduction factor of yield strength for

    both steel tested and the standard values of EN 1993-1.

    It can see that for temperatures of 450 °C and 650 °C,experimental reduction factors were lower than those

    who predicted the standard. This fact is of interest and

    must be taken into account above all in the initial

    moments of fire propagation where the resistance of

    steels would be lower which predicts the standard. On

    Tables 4 Mechanical properties for S355NL and S460NL steels at different temperatures obtained from steady-state test.

    Steel/Temperature (ºC)

    Effective yieldstrength(MPa)/Reduction factor

    Elastic modulus(GPa)/Reductionfactor

    Proportional limit0.2% (MPa)

    Reductionarea(%)

    Elongation(%)

    Averagegrain size(µm)

    HardnessRockwell B

    S-355NL (22) 535/1 908/1 372 70 14 10 82S-355NL (500) 283/0.53 668/0.74 265 85 18 10 82S-355NL (650) 119/0.22 420/0.46 118 86 18 10 81S-355NL (800) 71/0.13 257/0.28 64 46 16 11 80S-355NL (950) 38/0.07 154/0.17 35 41 18 11 80S-460NL (22) 580/1 1003/1 416 60 11 8 87S-460NL (500) 339/0.58 794/0.79 310 85 16 8 86S-460NL (650) 203/0.35 575/0.57 198 85 19 8 86S-460NL (800) 69/0.12 251/0.24 66 67 42 9 81S-460NL (950) 40/0.07 291/0.29 35 45 17 9 81

  • 8/16/2019 Behaviour of Structural Carbon Steel at High Temperatures

    7/10

    Behaviour of Structural Carbon Steel at High Temperatures 507

    Fig. 6 Comparison of reduction factor for yield strength and elastic range experimental values with the standard values of

    EN 1993-1.

    the second graph is presented the experimetal and

    standard reduction factor of elastic range. The

    experimental values were greater and tested steels

    would suffer a greater deformation in the development

    of a fire, which will mean a fact to be taken into

    account if the case that were happen. By extrapolacion

    of experimental values, it can be deduced that the

    deformation of steels would take place from the 390 °C.

    3.3 Micrography Study

    Three areas were selected to observe the

    deformation for the mechanical test samples. No

    deformed area, and in the useful area, the part farthest

    and nearest of the fracture. The micrographs presented

    were made at 22 °C and after high temperature tensile

    test (500 °C, 650 °C, 800 °C and 950 °C) for S355NL

    and S460NL steels.

    In the micrographs of S355NL and S460NL steels, it

    was shown that fracture areas with minimumdeformation and without deformation were the same

    for all temperatures. For 22 °C, 500 °C and 650 °C, on

    the nearest zone of the fracture, there was maximum

    deformation and grain elongation. For 800 °C and

    950 °C, on fracture zone it was not observed a

    lengthening of grain, due to the effect of thermal creep

    (explained in the next section). And for 950 °C, the

    grain size increases slightly.

    3.4 Fractography Study

    The macrographs made of the fracture area of the

    S355NL and S460NL steels are shown below. The

    figures presented are for the same steel (S460NL and

    S355NL) and it was present a comparison between the

    temperatures.

    In all figures, the macrographs and micrographs show

    that the behavior of both steels was quite similar. For

    room temperature, 500 °C and 650 °C it was observed

    the size of the base necking is almost the same. During

    the rupture was formed a neck by nucleation and

    coalescence of holes. The internal distribution holes can

    be seen at 400 magnifications and it matches at

    distribution holes for 500 °C and 650 °C. The break was

    ductile, the surface is fibrous and during deformation a

    neck was developed (Fig. 10).

    At 800 °C, the reduction area decrease (Fig. 9), the

    base of the tear was greater than for lower temperaturesand internal distribution appears to be less porous and

    homogeneous (Fig. 10). At the end of the test, the

    device detected the failure of the material, but if the

    specimen is observed, it needed a few seconds to see

    the separation of the parts. All of this was due the large

    plastic deformation. A lot of cracks appeared on the

    sharp edges of the samples and perpendicular to them

    (Fig. 8). To 950 °C the changes in the morphology of

  • 8/16/2019 Behaviour of Structural Carbon Steel at High Temperatures

    8/10

    Behaviour of Structural Carbon Steel at High Temperatures508

    No deformed Minimum Maximum No deformed

    (a) (b) (c) (d) Fig. 7 Micrographs of S-355-NL and S-460-NL steels after tensile test, × 500. (a) S355NL no deformed at 22 °C, 500 °C, 650 °C,800 °C and 950 °C, (b) S355NL minimum deformation at 22 °C, 500 °C, 650 °C, 800 °C and 950 °C, (c) S355NL maximumdeformation at 22 °C, 500 °C, 650 °C, 800 °C and 950 °C, (d) S460NL no deformed at 22 °C, 500 °C, 650 °C, 800 °C and 950 °C.

    Fig. 8 Macrographs of S-355-NL(up) and S-460-NL(down) steels at 22 °C × 20, 500 °C × 20, 650 °C × 20, 800 °C × 20 and950 °C × 15.

  • 8/16/2019 Behaviour of Structural Carbon Steel at High Temperatures

    9/10

    Behaviour of Structural Carbon Steel at High Temperatures 509

    Fig. 9 Macrographs of S-355-NL (up), S-460-NL (down) steels at 22 °C × 40, 500 °C × 40, 650 °C × 40, 800 °C × 27 and 950 °C × 27.

    Fig. 10 Macrographs of S-355-NL(up) and S-460-NL(down) steels at 22 °C, 500 °C, 650 °C, 800 °C and 950 °C, all pictures × 400.

    the materials tested were even greater.

    The process of creep will be dominant when the

    material temperature when is between 30% and 60%

    of the corresponding melting temperature. This

    circumstance occurs in steels tested at 800 °C and

    950 °C and was checked on stress-strain curves where

    there was a large plastic deformation on the material

    tested. This is due to the dislocations movement

    influenced by the high value of the temperatures,

    which leads to the material to a plastic collapse with

    the emergence of numerous fractures in the material

    without contraction of the section on the material

    tested.

    4. Conclusions

    The micrographs of steels for temperatures between

    500 °C and 900 °C were obtained, when steels were

    subjected to load and without it. It checked how the

    ferritic-pearlitic band structure begins to disappear

    from the 820 °C. No record of the structure in band was

    found for 950 °C. It was found as appeared certain

    areas in acicular Widmanstätten structure. The average

    grain size tends to grow with the temperature in both

    steels on one micrometer, being most clearly this trend

    from the 920 °C.

    The stress-strain curves and mechanical properties of

    steels at temperatures of 20 °C, 500 °C, 650 °C, 800 °C

    and 950 °C were studies and it saw how changed the

    plastic deformation of steels with the temperature.

    Reduction factors for effective yield strength resistance

    and the elastic modulus were deducted along with the

    values of the Euronorm for the interval of temperature

  • 8/16/2019 Behaviour of Structural Carbon Steel at High Temperatures

    10/10

    Behaviour of Structural Carbon Steel at High Temperatures510

    between 400 °C and 650 °C and it found that there was

    one greater decrease for steels tested, so it should be

    seen in the designs under fire. Also the values of the

    hardness in two steels have been obtained and values

    ranged around 5% for temperatures tested.

    For both steels has found that fluency with large

    plastic deformation phenomena were very important to

    800 °C and 950 °C temperatures, and specific hardness

    in areas of steels broken during tensile tests declined

    clearly. This situation should be taken into

    consideration for the design structural steels under

    fully developed fire.

    Acknowledgments

    The authors gratefully acknowledge the financial

    support of the Ministry of Science and Innovation of

    Spain, the project BIA2008-06705-C02-02 and Dr.

    Víctor López Serrano and Dra. Mª Jesús Bartolomé

    García of Physical Metallurgy Department of CENIM,

    for the help provided in the metallurgical study.

    References

    [1] Hot rolled products of structural steels: Part 3. Technicaldelivery conditions for normalized rolled weldable finegrain structural steels, EN Patent, 10025-10030 (2006).

    [2] M. Hever, F. Schröter, Modern Steel: High performance material for high performance bridges, Int.Symposium on Steel Bridges, Barcelona, Spain, 2003, pp.80-81.

    [3] M. Militzer, Modelling of microstructure evolution and properties of low carbon steel, Acta Metallurgica Sinica,13 (2) (2000) 574-580.

    [4] M. Militzer, E.B. Hawbolt, T.R. Meadowcroft,Microstructural model for hot strip rolling of high-strengthlow alloy steel, Metall. Mater. Trans. A 31 (2002)1247-1259.

    [5] B. Eghbali, A. Abdollah, The influence ofthermomechanical parameters in ferrite grain refinement

    in a low carbon nb microalloyed steel, Scripta Materialia53 (2005) 41-45.

    [6] Y. Zhang, D. Li, Y. Li, Modeling of austenite deposition in plain carbon steels, J. Materials Processing Technology171 (2006) 175-179.

    [7] Y. Zhang, H. Zhang, G. Wang, S. Hu, Application ofmathematical model for microstructure and mechanical

    property of hot rolled wire rods, Applied MathematicalModelling 33 (2009) 1259-1269.

    [8] M. Coret, A. Combescure, A mesomodel for the numericalsimulation of the multiphasic behaviour of materials underanisothermal loading application to two low carbon steels,Int. J. Mech. Sci. 44 (2002) 1947-1963.

    [9] T. Miokovic, V. Schulze, O. Vohringer, D. Lohe,Prediction of phase transformation during laser surfacehardening of AISI 4140 including the effects oninhomogeneous austenite formation, Mater. Sci. Eng.435/436 (2006) 547-555.

    [10] W. Shen, L.H. Peng, C.Y. Tang, A anisotropic damage based plastic yield criterion and its application to analysisof metal forming process, Int. J. Mech. Sci. 47 (2005)1897-1922.

    [11] K. Muszka, J. Majta, L. Bienias, Effects of grainrefinement on mechanical properties of microalloyed steel,Met. Foundary Eng. 32 (2006) 87-97.

    [12] I. Sen, S. Tamirisakandala, B.D. Miracle, U. Ramamurty,Microstructural effects on the mechanical behaviour of bmodified Ti-6Al-4V Alloys, Acta Meteralia 55 (2007)4983-4993.

    [13] T. Sleboda, J. Kane, R.N. Wrigth, N.S. Stoloff, D.J.Duquette, The effect of thermomechanical processing onthe properties of Fe-40 at % Al alloy, Mat. Sci. Eng. A 386(2004) 332-336.

    [14] J. Schiotz, Simulation of nanocrystalline metals at theatimic scale, What can we do? What can we trust? In: Proc.22nd Riso Int., Symposium on Metarials Science Roskilde,Denmark, 2001, 127-139.

    [15] UNE-EN ISO 643:2003, Steel, Test methods forDetermining average grain size. (in Spanish)

    [16] UNE EN ISO 6892-1: 2009, Metallic materials, TensileTest: Part 1. Test method at room temperature. (inSpanish)

    [17] L. Habraken, De ferri metallographia I, PressesAcademiques Europeennes S.C. Bruxelles, 1996.