US20180347006A1 - Method for deriving cooling time when quenching steel material, method for quenching steel material, and method for quenching and tempering steel material - Google Patents

Method for deriving cooling time when quenching steel material, method for quenching steel material, and method for quenching and tempering steel material Download PDF

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US20180347006A1
US20180347006A1 US15/754,995 US201615754995A US2018347006A1 US 20180347006 A1 US20180347006 A1 US 20180347006A1 US 201615754995 A US201615754995 A US 201615754995A US 2018347006 A1 US2018347006 A1 US 2018347006A1
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cooling
steel material
quenching
temperature
time length
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Atsuhiro HIRAMOTO
Atsushi Yasui
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Proterial Ltd
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Hitachi Metals Ltd
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    • C—CHEMISTRY; METALLURGY
    • C21—METALLURGY OF IRON
    • C21D—MODIFYING THE PHYSICAL STRUCTURE OF FERROUS METALS; GENERAL DEVICES FOR HEAT TREATMENT OF FERROUS OR NON-FERROUS METALS OR ALLOYS; MAKING METAL MALLEABLE, e.g. BY DECARBURISATION OR TEMPERING
    • C21D11/00—Process control or regulation for heat treatments
    • C21D11/005—Process control or regulation for heat treatments for cooling
    • C—CHEMISTRY; METALLURGY
    • C21—METALLURGY OF IRON
    • C21D—MODIFYING THE PHYSICAL STRUCTURE OF FERROUS METALS; GENERAL DEVICES FOR HEAT TREATMENT OF FERROUS OR NON-FERROUS METALS OR ALLOYS; MAKING METAL MALLEABLE, e.g. BY DECARBURISATION OR TEMPERING
    • C21D1/00—General methods or devices for heat treatment, e.g. annealing, hardening, quenching or tempering
    • C21D1/18—Hardening; Quenching with or without subsequent tempering
    • C—CHEMISTRY; METALLURGY
    • C21—METALLURGY OF IRON
    • C21D—MODIFYING THE PHYSICAL STRUCTURE OF FERROUS METALS; GENERAL DEVICES FOR HEAT TREATMENT OF FERROUS OR NON-FERROUS METALS OR ALLOYS; MAKING METAL MALLEABLE, e.g. BY DECARBURISATION OR TEMPERING
    • C21D1/00—General methods or devices for heat treatment, e.g. annealing, hardening, quenching or tempering
    • C21D1/18—Hardening; Quenching with or without subsequent tempering
    • C21D1/185—Hardening; Quenching with or without subsequent tempering from an intercritical temperature
    • C—CHEMISTRY; METALLURGY
    • C21—METALLURGY OF IRON
    • C21D—MODIFYING THE PHYSICAL STRUCTURE OF FERROUS METALS; GENERAL DEVICES FOR HEAT TREATMENT OF FERROUS OR NON-FERROUS METALS OR ALLOYS; MAKING METAL MALLEABLE, e.g. BY DECARBURISATION OR TEMPERING
    • C21D1/00—General methods or devices for heat treatment, e.g. annealing, hardening, quenching or tempering
    • C21D1/18—Hardening; Quenching with or without subsequent tempering
    • C21D1/19—Hardening; Quenching with or without subsequent tempering by interrupted quenching
    • C21D1/22—Martempering
    • C—CHEMISTRY; METALLURGY
    • C22—METALLURGY; FERROUS OR NON-FERROUS ALLOYS; TREATMENT OF ALLOYS OR NON-FERROUS METALS
    • C22C—ALLOYS
    • C22C38/00—Ferrous alloys, e.g. steel alloys
    • C22C38/02—Ferrous alloys, e.g. steel alloys containing silicon
    • C—CHEMISTRY; METALLURGY
    • C22—METALLURGY; FERROUS OR NON-FERROUS ALLOYS; TREATMENT OF ALLOYS OR NON-FERROUS METALS
    • C22C—ALLOYS
    • C22C38/00—Ferrous alloys, e.g. steel alloys
    • C22C38/04—Ferrous alloys, e.g. steel alloys containing manganese
    • C—CHEMISTRY; METALLURGY
    • C22—METALLURGY; FERROUS OR NON-FERROUS ALLOYS; TREATMENT OF ALLOYS OR NON-FERROUS METALS
    • C22C—ALLOYS
    • C22C38/00—Ferrous alloys, e.g. steel alloys
    • C22C38/06—Ferrous alloys, e.g. steel alloys containing aluminium
    • C—CHEMISTRY; METALLURGY
    • C22—METALLURGY; FERROUS OR NON-FERROUS ALLOYS; TREATMENT OF ALLOYS OR NON-FERROUS METALS
    • C22C—ALLOYS
    • C22C38/00—Ferrous alloys, e.g. steel alloys
    • C22C38/18—Ferrous alloys, e.g. steel alloys containing chromium
    • C—CHEMISTRY; METALLURGY
    • C22—METALLURGY; FERROUS OR NON-FERROUS ALLOYS; TREATMENT OF ALLOYS OR NON-FERROUS METALS
    • C22C—ALLOYS
    • C22C38/00—Ferrous alloys, e.g. steel alloys
    • C22C38/18—Ferrous alloys, e.g. steel alloys containing chromium
    • C22C38/36—Ferrous alloys, e.g. steel alloys containing chromium with more than 1.7% by weight of carbon
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02P—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
    • Y02P90/00—Enabling technologies with a potential contribution to greenhouse gas [GHG] emissions mitigation
    • Y02P90/30—Computing systems specially adapted for manufacturing

Definitions

  • the present invention relates to a method for deriving a cooling time for quenching a steel material, to a method for quenching the steel material, and a method for quenching and tempering the steel material.
  • a steel material has high hardness and toughness.
  • the steel is hardened, for example, by quenching. Quenching is a process of rapidly cooling a steel material that has been heated at a temperature in an austenite phase range, so as to subject the steel to martensitic transformation.
  • the quenched steel can have toughness through subsequent tempering. Tempering is a process of reheating the quenched steel at an appropriate temperature below the austenitic phase range.
  • the steel material to be quenched and tempered may have a shape such as slab, bloom, or billet, as well as a shape of a product such as various jigs, tools, molds, or structural components.
  • a central portion of the steel material is, in some cases, cooled at a small cooling rate during the quenching with respect to a target cooling rate while a surface of the steel is cooled at a high rate.
  • the central portion may be insufficiently martensitic-transformed. Therefore, it is important in actual quenching of a steel material to determine, in advance, a cooling condition capable of achieving a cooling rate not smaller than the target cooling rate over an entire steel material according to a size and a shape of the steel material.
  • a cooling method according to the cooling medium includes: air quenching (blast cooling) using blown air or the like; water quenching using water; hot bath quenching using oil, salt bath, molten metal or the like; and gas quenching using an inert gas such as nitrogen or argon (see Patent Literatures 1 to 3).
  • a temperature of the cooling medium is a factor for determining the cooling condition.
  • the factors include a volume and a speed of the air blown in a case of the blast cooling and a flow rate (or pressure) of inert gas in a case of the gas quenching.
  • the cooling under the cooling condition is stopped when a temperature of the steel material reaches a certain instructed temperature in the cooling process. For example, while a rapid cooling at a cooling rate not smaller than a target cooling rate is applied in a first half of cooling, a slower cooling is applied in a second half of cooling to avoid cracking of the steel material or other reasons. In the case, the cooling is temporarily stopped between the first cooling and the second cooling. Therefore, it is also important to control a temperature of the steel material during the cooling for quenching, in addition to setting the cooling condition in advance.
  • the temperature of the central portion of the steel material is estimated in an actual quenching, from a relationship between a cooling time length and a temperature at the central portion of the steel material during the cooling at a current cooling rate, by acquiring what cooling rate is obtained by the current cooling condition.
  • the current cooling time length when the temperature at the central portion of the steel material reaches the instructed temperature.
  • PATENT LITERATURE 1 JP-A-2008-031530
  • the steel materials to be quenched have various sizes and shapes. Since the size and shape of the steel materials to be quenched are different, cooling rates at the central portions of the steel materials differs. Since the cooling rates at the central portions of the steel materials are different for individual steel materials having different sizes and shapes, it is difficult to grasp a relationship between the temperature at the central portion of the steel material during cooling and the cooling time length. Thus, it is not easy to calculate an appropriate cooling time length required for cooling the material to reach the instructed temperature.
  • An object of the present invention is to provide a method for deriving a cooling time length for quenching a steel material to efficiently control the cooling to an instructed temperature with use of the cooling time length even when the steel materials to be quenched have different sizes and shapes.
  • Another object of the present invention is to provide a method of quenching the steel material using the cooling time length derived by the above method.
  • Still another object of the present invention is to provide a method of quenching and tempering a steel material, including tempering the steel material quenched by the above quenching method.
  • the cooling time length is defined from a start of cooling of the steel material heated at a cooling start temperature Ts under a cooling condition C until the cooling is stopped.
  • the method included following steps:
  • the cooling preferably includes multiple stages having different cooling conditions with each other, and a function “f” for each stage is determined for deriving each cooling time length of each cooling stage.
  • the present invention provides a method for quenching and tempering a steel material, including tempering the steel material quenched by the above quenching method.
  • the present invention it is possible to easily calculate an appropriate cooling time length for quenching even though the steel materials to be quenched have various sizes and shapes. Therefore, when quenching of a small number of materials made of various steel types or steel materials having various shapes is required, it is possible to appropriately quench each steel material.
  • FIG. 1 illustrates a relationship between a V/S value and a cooling time length “t” when a specimen made of SKD 61 was cooled from a quenching temperature of 1020° C. until a temperature at a central portion of the specimen reaches 650° C. under a cooling condition using blast cooling by large fans (with three fans each having capacity of 420 m 3 /minute) in an atmosphere.
  • FIG. 2 illustrates a modified relationship between the V/S value and the cooling time length “t”, to which the relationship of FIG. 1 is corrected to match an actual quenching on an steel material.
  • FIG. 3 illustrates a relationship between the V/S value and the cooling time “t” when the specimen having been cooled to 600° C. at a central portion of the specimen in FIG. 1 is further cooled until the temperature at the central portion of the specimen reaches 250° C. under cooling conditions using oil quenching of immersing the whole specimen in oil at 100° C.
  • FIG. 4 illustrates a modified relationship between the V/S value and the cooling time length “t”, to which the relationship of FIG. 3 is corrected to match an actual quenching on an steel material.
  • FIG. 5 schematically depicts a shape of a fixed insert of a die-casting mold. It is a schematic view illustrating an exemplary shape of an actual steel material.
  • FIG. 6 depicts a rectangular parallelepiped having substantially the same volume as the steel material of FIG. 5 .
  • FIG. 7 illustrates an exemplary quenching pattern (one-stage cooling) performed on an actual steel material.
  • FIG. 8 illustrates another exemplary quenching pattern (two-stage cooling) performed on an actual steel material.
  • First feature of the present invention is that various sizes and shapes of a steel material to be quenched are sorted out by a “V/S value” defined by a ratio of a volume V to a surface area S of the steel material. Further feature of the present invention is that a cooling time length until the steel material is cooled to reach an instructed temperature is calculated by utilizing a correlation between the V/S value and a cooling rate at a central portion of the steel material. Further feature of the present invention is that the cooling time length is beforehand calculation using specimens made of the same steel type as the steel material to be quenched in practice so that the cooling time length can be generally and easily calculated for quenching of steel materials having various sizes and shapes.
  • a first embodiment of the present invention is to provide a method of beforehand deriving a cooling time length for “actually” quenching a steel material (hereinafter, simply referred to as a “cooling time length deriving method”), where the cooling time length is defined from a start of cooling, under a cooling condition C, of a steel material heated at a cooling start temperature Ts until the cooling under the cooling condition C is completed.
  • a cooling time length deriving method a method of beforehand deriving a cooling time length for “actually” quenching a steel material
  • the cooling time length deriving method includes a first step of preparing n pieces of specimens (where n is a natural number of two or more) made of a same steel A as the steel material to be quenched and having different volumes V and different surface areas S with each other, and then making a hole at each of the specimens for inserting a temperature sensor at a central portion of the specimen.
  • specimens made of a same steel type A as this steel material are prepared. Then, the specimens are quenched under the same cooling condition C as that for actual quenching of the steel material as described later, and a cooling time length is calculate beforehand, that is necessary for a central portion of the steel material to reach an instructed temperature during the actual quenching of the actual steel material.
  • V/S value defined by a ratio of a volume V of the steel material to a surface area S thereof and a cooling rate at the central portion of the steel material that is being cooled.
  • the volume of the steel material is larger, the central portion of the steel material is less easily cooled.
  • the surface area of the steel material is larger, the steel material is easily cooled.
  • the two factors of the volume and the surface area of the steel material act directly and inversely to the cooling of the central portion of the steel material. Accordingly, by utilizing the correlation of the V/S value including the two factors of the inverse relationship, it is possible to easily and accurately calculate the cooling time length.
  • the central portion of the steel material indicate a center of gravity of the steel material, or a portion of the steel material that is cooled slowest, for example.
  • the prepared specimens are those sorted out by the V/S value.
  • at least two specimens n specimens where n is a natural number of two or more
  • the n specimens preferably have such V/S values that the V/S value of the steel material to be actually quenched falls in a range between the minimum V/S value and the maximum V/S value of these specimens.
  • the specimens are not necessary to have the same sizes (volumes) or same shapes with each other. As long as the specimens have a same V/S value, cooling rates at the central portions of the specimens are substantially same under a same cooling condition even though they may have different sizes and shapes.
  • the shapes of the specimens are remarkably different, for example, in a case where one is of a flat shape and the other is of an irregular form, an error might occur in the calculated values of the volume V and the surface area S, and complicated operation is necessary to achieve accuracy of correlation for the actual quenching of the steel material.
  • the shapes of the specimens preferably have substantially similar figures.
  • the shapes are e.g. cube, a rectangular parallelepiped, a prismatic column, or a cylinder, since such shapes facilitate calculation of the volume V and the surface area S.
  • the shape is a cubic since the specimens of substantially similar shapes are easily produced. It is efficient to use the correlation obtained with these specimens as a basis and then correct the correlation, as necessary, to have more accuracy with reference of the actual quenching of the steel material. Details of the correction will be described later.
  • a hole is formed at a central portion thereof so that a temperature sensor is inserted in the hole for measuring a temperature of the portion during quenching. It is possible to form another hole for inserting the temperature sensor at a position other than the central portion of the specimen.
  • the position may be at a middle position between a surface of the specimen and the central portion, or a position more close to the surface of the specimen than the middle position by a half distance. This makes it possible to compare the temperatures measured at individual positions of the specimen, leading to an enhanced reliability of the measured temperature.
  • the presence of the hole for inserting the temperature sensor changes the volume V and the surface area S of the specimen.
  • the change in the volume V and the surface area S due to the presence of the hole have little effect on the above correlation and is negligible.
  • the specimen should made of a steel type A that has the same composition as the actually quenched steel material.
  • the steel used in the present invention is a same steel material that is to be quenched. Therefore, there is not necessary to specify the composition of the steel material to achieve the effect of the present invention.
  • the above steel A may be “alloy tool steel” defined in JIS-G-4404, for example.
  • a cold tool steel such as SKD 11 and a hot tool steel such as SKD 61 are representative steels. It is also possible to use a tool steel with modified composition, for example by changing any elemental contents or adding other elements in the composition.
  • the steel material to be quenched may have a composition, for example, including C: 0.30% to 2.40% and Cr: 3.00% to 15.00% by mass %.
  • a hot work tool steel may include C: 0.30% to 0.60% and Cr: 3.00% to 6.00%, and a cold work tool steel may include C: 0.60% to 2.40% and Cr: 5.00% to 15.00%.
  • both the cold work tool steel and the hot work steel may further include one or more elements selected from Si: up to 2.00%, Mn: up to 1.50%, P: up to 0.050%, S: up to 0.050%, one or both of Mo and Win a relational expression (Mo+1/2W): 0.50% to 4.00%, V: 0.10% to 1.50%, Ni: 0% to 1.00%, Co: 0% to 1.00%, and Nb: 0% to 1.50%.
  • the balance of the steel may be Fe and impurities.
  • Cu, Al, Ti, Ca, Mg, oxygen (O) and nitrogen (N) are elements that is added in some cases or remain in the steel material as impurities.
  • Upper limits of the content of these elements may be preferably: 0.25% for Cu, 0.25% for Al, 0.03% for Ti, 0.01% for Ca, 0.01% for Mg, 0.01% for 0, and 0.08% for N.
  • the cooling time length deriving method includes a second step of inserting the temperature sensor in the hole of each specimen, and subjecting each of then specimens to a test, wherein the test comprises: (a) heating the specimen and maintain at a cooling start temperature Ts; (b) starting cooling of the specimen under the same cooling condition C; and (c) measuring a cooling time length “t” from the start of the cooling until the temperature at the central portion of the specimen measured by the temperature sensor reaches a cooling stop temperature Te.
  • the “n” specimens produced in the first step are quenched, thereby data are obtained that are used for determine a correlation between the V/S value and the cooling rate at the central portion of steel material (that is, cooling time length for quenching cooling) in third step as described later.
  • the correlation can be utilized to manage a process of quenching of an actual steel material.
  • the second step also employs the cooling condition C which is same as that for quenching the actual steel material.
  • controlled factors of the cooling condition includes a kind of cooling medium, a temperature or a the pressure (strength).
  • a temperature sensor is inserted into a hole formed in the central portion of the specimen. Then, the specimen with the inserted temperature sensor is heated and maintained at a cooling start temperature Ts.
  • the cooling start temperature Ts is determined to be, for example, a quenching temperature in quenching the actual steel material (see FIG. 7 ). Specifically, it is in a range of 1000° C. to 1100° C., for example.
  • the specimen heated and maintained at the cooling start temperature Ts is cooled under the cooling condition C.
  • a temperature at the central portion of the specimen is measured with the temperature sensor, and the specimen is cooled until the temperature at the central portion reaches a cooling stop temperature Te.
  • the cooling stop temperature Te is, for example, a quenching finishing temperature of the actual quenching (see FIG. 7 ). Specifically, it is in a range of from a room temperature to 350° C., for example.
  • a cooling time length “t” from the start of the cooling until the temperature at the central portion reaches the cooling stop temperature Te is measured.
  • the cooling time length “t” is measured for the “n” specimens having various V/S values to collect “n” cooling time lengths “t” for the different V/S values.
  • cooling start temperature Ts and the cooling stop temperature Te various temperatures can be set other than the above quenching temperature and the quenching finishing temperature.
  • a temperature range between the quenching temperature and the quenching finishing temperature may be employed.
  • the cooling time length deriving method according to the present invention is applied to the cooling temperature range.
  • another cooling temperature range between the quenching temperature and the quenching finishing temperature may be set as the “cooling start temperature Ts” and the “cooling stop temperature Te” to apply the cooling time length deriving method according to the present invention.
  • Multi-stage quenching means that quenching cooling includes multiple cooling stages under different cooling conditions.
  • first cooling is started under a first cooling condition, and then the first cooling is stopped and a second cooling starts under second cooling condition different from the first condition.
  • cooling time length is derived in each stage (under each cooling condition), by determine each function “f” for each cooling stage.
  • the steel material is a tool product such as a mold.
  • quenching of the material includes two cooling stages (two cooling conditions) to suppress generation of strain during the quenching (see FIG. 8 ).
  • a first stage cooling in a high temperature range is conducted by blast or gas cooling
  • a second-stage cooling in a low temperature range employs gas cooling with a higher gas pressure than that in the first stage, or by oil cooling.
  • the second step according to the present invention includes a step of measuring a cooling time length “t H ” in the first stage, for which a temperature of the central portion of the specimen is cooled from a cooling start temperature “Ts H ” to a cooling stop temperature “Te H ” and a step of measuring a cooling time length “t L ” in the second stage, for which the temperature is cooled from a cooling start temperature “Ts L ” to a cooling stop temperature “Te L ”, as necessary.
  • the cooling stop temperature “Te H ” in the first stage is 450° C. to 700° C., for example.
  • the cooling start temperature “Ts L ” of the second stage is identical to the cooling stop temperature “Te H ”.
  • the cooling start temperature “Ts L ” is considerably lower than the cooling stop temperature “Te H ”.
  • the cooling start temperature “Ts L ” may be decreased by about 50° C. In this manner, it is preferable to note an actual temperature behavior at the central portion of the steel material during the actual quenching to set the cooling start temperature “T”s and the cooling stop temperature “Te” in the second step.
  • FIG. 1 depicts a relationship between the V/S values and the cooling time lengths “t” when a specimen made of SKD 61, as a steel type A, was cooled from a quenching temperature of 1020° C. until a temperature at a central portion of the steel material reaches 650° C. under a cooling condition C using blast cooling by large fans (three fans, each fan has a capacity of 420 m 3 /minute) in an atmosphere.
  • Filled circles “ ⁇ ” in FIG. 1 represent measured “n” data obtained in the second step.
  • the specimen is of a cubic shape.
  • a fitting function of commercially available spreadsheet software can be used. Fitting means to find a function (straight line or curve) that best matches to experimentally obtained data (constraint conditions). For example, regression analysis is known.
  • the function obtained by the fitting is an approximate straight line or approximate curve line and does not pass all data points.
  • the function “f” representing the relationship between the V/S value and the cooling time length “t” according to the present invention can be obtained by fitting, for example, by “linear function” or “quadratic function” of the V/S value. It was confirmed by a result of the quenching test described above and temperature analysis by CAE described later.
  • the function “f” is fitted with a linear function of (V/S).
  • the relationship between the V/S value and the cooling time length “t” can be expressed as a line in the graph, that is, it can be visualized. It is advantageous for easily recognize errors between the data. For example, even when a quenching test is performed with same specimens under same cooling conditions, a small error may occur between measured values between different quenching facilities. In the case, the error (due to difference between the cooling capacities unique to individual quenching facilities) may be easily recognized.
  • CAE computer aided engineering
  • the process to determine a heat transfer coefficient between the specimen being cooled and a cooling medium from the measured value obtained in the second step is important.
  • the open square marks “ ⁇ ” in FIG. 1 represent additional data for the V/S values of 58.33 (side length of the cube is 350 mm) and 66.67 (side length of the cube is 400 mm) calculated by CAE using the three sets of measured value data represented by the filled circles “ ⁇ ” obtained in the second step.
  • the actually measured data represented by the filled circles “ ⁇ ” may be checked whether they were correctly measured by calculating with use of the heat transfer coefficient.
  • open square marks “ ⁇ ” obtained by the calculation at three positions 25.00, 33.33, and 50.00 of V/S value are substantially overlapped with the filled circular marks “ ⁇ ” indicating actually measured values.
  • further data calculated by the CAE may be added to perform fitting with the function.
  • a solid line in FIG. 1 indicates a function “f” obtained by the fitting of the points including the added data by the CAE. It can be seen in FIG. 1 that the added data fit the straight line indicating a linear functional relationship between the V/S values and the cooling time lengths “t”.
  • the actual steel material processed in a shape of various jigs, tools, molds, structural components, etc. has an irregular surface. Therefore, it is effective to correct the function “f” determined with use of the cubic specimens, for example, to suitable one for the quenching of the steel material worked in an actual shape.
  • the temperature of the central portion reaches the cooling stop temperature Te sooner from the cooling start temperature Ts in the actually-shaped steel material than the cubic specimen. If the cooling time length obtained from the function “f” in FIG. 1 determined by the cubic specimens is applied, without correction, to the quenching of the actual steel material, the actual temperature at the central portion at the cooling time “t” from the star of the quenching may be lower than the estimated cooling stop temperature Te in some cases.
  • the specimens used in the first to third steps may have a non-cubic shape.
  • the specimens may have a shape simulated with that of the actually quenched steel material.
  • the specimens having such a shape may be used in addition to the cubic specimens.
  • correction may be made to shift the function “f” in FIG. 1 toward “shorter time side” on the basis of the quenching test results of changing the shape of the specimen. That is, correction of a surface area S of the specimen to a greater surface area S′ in determining the function “f” in the third step. More specifically, with respect to the straight line of the function “f” in FIG.
  • the correction is made by substituting the value of the surface area S of the V/S with a greater surface area S′ so that the function “f” is shifted based on the new V/S′ values toward right by an appropriate amount (see FIG. 2 ).
  • the amount of shift is limited as
  • the corrected function “f” preferably uses the replaced value of (1.3 ⁇ S). In an actual quenching, it is preferably considered to prevent overcooling, by which the material is cooled lower than the target cooling stopping temperature.
  • the function “f” obtained with the corrected (1.3 ⁇ S) is used, the cooling time length is estimated to reach the target cooling stop temperature in a shorter time period than the actual cooling time length. Thus, excessive cooling can be prevented even when the cooling time length has been extended.
  • the cooling time length deriving method includes a fourth step of substituting a volume V 1 and a surface area S 1 of a shape F 1 of the steel material to be quenched in the Relational Expression (1) to calculate a cooling time length “t 1 ”.
  • a cooling time length “t 1 ” is calculated by applying the function “f” determined in the first to third steps to a quenching of an actual steel material having a volume V 1 and a surface area S 1 , where cooling time length “t 1 ” is a time period from the cooling start temperature “Ts” to the cooling stop temperature “Te”.
  • the cooling time length may include a slight operating range (error range) with respect to that calculated by the Relational Expression (1).
  • the cooling time length may have a width range of plus or minus 20% of the calculated one.
  • the allowable width range is preferably within plus or minus 10%.
  • the upper limit of the range of the cooling time length is preferably 10%, more preferably 5%.
  • the cooling time length calculated by the Relational Expression (1) may be rounded to an integer numerical value by rounding up/down, rounding off, etc. at the first decimal place.
  • FIG. 5 schematically depicts a shape of a fixed insert of a die-casting mold, that is an exemplary shape F 1 of the actual steel material.
  • the actual volume V 1 can be easily obtained from a mass of the material and its specific gravity (for example, a steel has the specific gravity of approximately 7.8).
  • the fixed insert illustrated schematically in FIG. 5 for the sake of convenience has the volume V 1 of 113,043,680 mm 3 .
  • FIG. 5 depicts a rectangular parallelepiped having the assumed approximate height.
  • a surface area calculated from the rectangular parallelepiped in FIG. 6 can be assumed to be identical to a surface area S 1 of the fixed insert in FIG. 5 .
  • the fixed insert in FIG. 5 which shape is schematically illustrated for the sake of convenience, has a surface area S 1 of 2,205,144 mm 2 .
  • Some actual steel materials include an inside minute space such as a water cooling hole or a screw hole. Strictly speaking, the space influences a volume V 1 and a surface area S 1 of the actual steel material. However, it is confirmed that the influence on the volume V 1 and the surface area S 1 is little for the present invention and it is negligible.
  • the surface area S in the function “f” is corrected in the third step
  • the surface area S 1 of the “V 1 /S 1 value” of the actual steel material can be corrected within a range of S 1 ⁇ S 1 ′ ⁇ (1.3 ⁇ S 1 ), instead of the correction of the surface area S.
  • a target cooling rate R for generating martensitic transformation in the quenched structure and the cooling time length “t 1 ” calculated in the fourth step satisfy the following Relational expression (2).
  • the cooling condition C is changed to a cooling condition C′ different from the cooling condition C and the second and the subsequent steps are conducted again.
  • the steel type A is changed to another steel type A′ different from the steel type A, and the first and subsequent steps are conducted again.
  • the fourth step it is also possible to confirm beforehand whether the function “f” determined in the first to third steps is applicable to actual quenching.
  • the quenching of the actual steel material having the shape F 1 with a ratio of the volume to the surface area of V 1 /S 1 it can be confirmed whether a central portion of the steel material can be cooled at a cooling rate equal to or higher than the target cooling rate R, that is described below, when the cooling time length t 1 obtained from the function “f” is applied to the cooling from the cooling start temperature Ts to the target cooling stop temperature Te at the central portion of the steel material. If the cooling rate at the central portion of the steel material is below the target cooling rate R, the martensitic transformation will be insufficient at the central portion in some cases.
  • the target cooling rate R will be described.
  • the actual cooling rate at the central portion of the steel material is high enough to generate martensitic transformation when a steel material of steel type A is quenched under a predetermined cooling condition C.
  • the target cooling rate R it is preferable to predetermine the target cooling rate R, as a determination criterion on whether the structure for the steel material of the steel type A martensitic-transforms.
  • the actual cooling rate is not lower than the target cooling rate R.
  • the target cooling rate R can be determined with reference to a critical cooling rate, for example.
  • the critical cooling rate is a minimum cooling rate necessary to generate the martensitic transformation.
  • the target cooling rate R can be set to an “upper critical cooling rate” which is a minimum cooling rate at which the quenched structure includes only martensite phase.
  • the target cooling rate R can be set to be higher (more rapid) than the upper critical cooling rate, for example, a cooling rate higher by up to 30% than the upper critical cooling rate (for example, a cooling rate 10% or 30% higher than the upper critical cooling rate).
  • the target cooling rate R can be set to a smaller (less rapid) rate to a certain degree than the upper critical cooling rate.
  • the target cooling rate R can be set to be slower than the upper critical cooling rate by up to 30% than the upper critical cooling rate (for example, a cooling rate 10% or 30% lower than the upper critical cooling rate).
  • the target cooling rate R is, for example, approximately 9.0 to 15.0° C./minute (for example, 10.0° C./minute or 13.0° C./minute) in a higher temperature range cooling process from the quenching temperature to 450-700° C.
  • the cooling rate in a lower temperature range is approximately 7.0 to 12.0° C./minute from the temperature of 450-700° C. to a temperature of a room temperature to 350° C.
  • the cooling time length “t 1 ” from the cooling start temperature Ts to the cooling stop temperature Te is obtained by substituting the values of the volume V 1 and the surface area S 1 of the actual steel material in the Relational expression (1). Then, when the obtained cooling time length “t 1 ” is substituted in the relational expression “(Ts ⁇ Te)/t”, the cooling rate from the cooling start temperature Ts to the cooling stop temperature Te is obtained. When this value is equal to or higher than the above target cooling rate R (when the above Relational expression (2) is satisfied), the cooling rate is effective for sufficiently generate the martensitic transformation of the structure in the actual quenching.
  • the cooling rate obtained by the relational expression is below the target cooling rate R (that is, the Relational expression (2) is not satisfied)
  • the cooling rate may be insufficient for generating the martensitic transformation.
  • the first and subsequent steps, or the second and the subsequent steps may be conducted again.
  • a target cooling rate for martensitic-transforming a structure in quenching a steel material is often known empirically.
  • the cooling time length “t 1 ” is obtained in the above fourth step, it can be usually empirically determined whether the cooling time length “t 1 ” is sufficient for the martensitic transformation.
  • the cooling rate at the central portion of the steel material can be easily estimated.
  • it is possible to estimate that the cooling rate at the central portion of the steel material can achieve the cooling rate equal to or higher than the target cooling rate R.
  • a “target cooling rate R′” for suppressing cracking of the steel material at the time of quenching in addition to setting the “target cooling rate R” for generating the martensitic transformation. Then, it is effective for suppressing the cracking by setting the “actual cooling rate” at the central portion of the steel material be equal to or lower than the target cooling rate R′ (that is, by satisfying (Ts ⁇ Te)/t 1 ⁇ R′) at the time of quenching the actual steel material.
  • the target cooling rate R′ is set in a temperature range in which the temperature of the central portion of the steel material is not higher than 600° C.
  • the target cooling rate R′ is approximately 7.5 to 17.0° C./minute (for example, 13.0° C./minute or 15.0° C./minute) in the cooling process in the low temperature range from 600° C. to a temperature of a room temperature to 350° C.
  • the target cooling rate R′ is set when the two-stage cooling is employed (see FIG. 8 ).
  • the target cooling rate R′ is set in the second-stage cooling.
  • the actual steel material may be quenched for the cooling time length “t 1 ”.
  • the steel material made of the steel type A and processed in the predetermined shape F 1 is heated at the quenching temperature Ts, and then cooled for the cooling time length “t 1 ” under the cooling condition C, and then the cooling under the condition C is stopped.
  • the cooling under the cooling condition C corresponds to the first-stage cooling is performed, and after the first-stage cooling is stopped, the second-stage cooling under another cooling condition, different from the previous cooling condition C, may be applied.
  • the above steel material quenched by the quenching method is further tempered. Thereby, the steel material having mechanical properties such as hardness and toughness is produced.
  • a fixed insert having a shape F 1 in FIG. 5 was selected as a steel material to be quenched. Then, the fixed insert is subjected to multi-stage quenching with two-stage cooling illustrated in FIG. 8 .
  • the two-stage cooling has following quenching pattern.
  • a first-stage cooling is made from the quenching temperature (Ts H ) of 1020° C. until the central portion of the fixed insert reaches 650° C. (Te H ).
  • the steel material after the first-stage cooling was transferred to another cooling facility for a second-stage cooling. During the transfer, the temperature of the central portion was lowered to 600° C. (Ts L ).
  • the second-stage cooling was from the temperature decrease lowered to 600° C. until the temperature reaches the quenching ending temperature (Te L ) of 250° C.
  • the fixed insert was produced from SKD 61 as the steel type A.
  • the target cooling rate R is set to 13.5° C./minute for the first-stage cooling and 7.5° C./minute for the second-stage cooling.
  • the “target cooling rate R′” was considered since it is preferable for suppressing cracking during quenching.
  • the target cooling rate R′ was set to 13.0° C./minute in the second-stage cooling.
  • the cooling rate for the second stage was set in a range of 7.5 to 13.0° C./minute, thereby sufficient martensitic transformation is generated in the structure of the fixed insert after quenching as well as cracking was suppressed in the fixed insert.
  • the three specimens had a shape of a cube having a side length of respectively 150 mm (volume V/surface area S was 25.00), 200 mm (V/S was 33.33) and 300 mm (V/S was 50.00). Subsequently, a hole in which the temperature sensor is to be inserted was made at the central portion of each of the specimens.
  • FIG. 1 shows plots of the measured values for the first-stage cooling in the high temperature range (marked with filled circles “ ⁇ ”).
  • the CAE based procedure was made to obtain a heat transfer coefficient between the specimen and the cooling medium from the relationship of the measured values and calculated the cooling time lengths t H at various V/S values based on the calculated heat transfer coefficient. Thereby, additional data in a further expanded V/S value range was obtained.
  • the above function f H obtained with the cubic specimen is corrected to enhance accuracy of the function f H . That is, the value of “surface area S” in the function f H is replaced with the value of “S′” that satisfies “S ⁇ 5′ ⁇ (1.3 ⁇ S)” to shift the function f H to the right side.
  • plotted points marked with filled circles“ ⁇ ” and filled rhombuses “ ⁇ ” illustrated in FIG. 2 are measured values indicating the relationships of the “V/S value” and “cooling time length t H ” at the time of the quenching test with the shape of the specimen being changed to the protruding shape like the fixed insert illustrated in FIG. 5 .
  • the plotted points indicated by open circles “ ⁇ ” and open rhombuses “ ⁇ ” illustrated in FIG. 2 are calculated and checked results using the CAE calculation on the measured values marked with filled circles “ ⁇ ” and filled rhombuses “ ⁇ ”. It is recognizable that these results are in good agreement with the relationship of the function f H corrected within the range of “S ⁇ S′ ⁇ (1.3 ⁇ S)” with high accuracy.
  • the filled circles “ ⁇ ” in FIG. 3 are a plot of the measured values for the second-stage cooling (the suffix “L” indicates the second-stage cooling).
  • the open squares “ ⁇ ” indicate additional data obtained by processing the measured value using CAE calculation.
  • the “solid line” in FIG. 3 corresponds to a function f L obtained by fitting the plotted points marked with open squares “ ⁇ ”. At this time, the fitting application of spreadsheet software “Excel (2007)” manufactured by Microsoft Corporation was applied.
  • the function f L is corrected also in the second-stage cooling to enhance accuracy of the function f L .
  • the plotted points marked with filled circles “ ⁇ ” and filled rhombuses “ ⁇ ” in FIG. 4 indicate measured values of the V/S value and the cooling time length “t L ” at the time of the quenching when a shape of the specimen is changed to a protruding shape like the fixed insert illustrated in FIG. 5 .
  • the volume V 1 and the surface area S 1 of the fixed insert as a steel material to be quenched, illustrated in FIG. 5 were obtained.
  • the volume V 1 was 113,043,680 mm 3 and the surface area S was 2,205,144 mm 2 .
  • the V/S value of the fixed insert in FIG. 5 is determined to be 51.26 calculated by (113,043,680 mm 3 /2,205,144 mm 2 ), the unit of which is “mm”.
  • the fixed insert illustrated in FIG. 5 was multi-stage-quenched with two-stage cooling under the same cooling conditions as that of the quenching test with the specimen.
  • the cooling time length “t H l” taken to cool the central portion of the fixed insert from the quenching temperature (Ts H ) of 1020° C. to 650° C. (Te H ) in the first-stage cooling was calculated to be 23.71 minutes.
  • the cooling time length t H 1 of 23.71 minutes was rounded to 24 minutes for easy control.
  • the cooling time length “t L 1” taken to cool the temperature of the central portion of the fixed insert from 600° C. (Ts L ) until the quenching ending temperature (Te L ) of 250° C. in the second-stage cooling was calculated to be 28.38 minutes. Practically, the cooling time length “t L 1” of 28.38 minutes was rounded to 28 minutes.
  • the fixed insert of FIG. 5 made of steel type A being SKD 61 was actually subjected to multi-stage quenching with two-stage cooling under the initially set quenching pattern and cooling condition C.
  • the cooling time length “t H 1” in the first-stage cooling was set to 24 minutes, and the cooling time length “t L 1” in the second-stage cooling was set to 28 minutes as described above.
  • the steel material quenched by the method according to the present invention can have mechanical properties such as hardness and toughness.

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