CN110648421B - Method for calculating thickness of decarburized layer on surface of decarburized spring steel - Google Patents

Method for calculating thickness of decarburized layer on surface of decarburized spring steel Download PDF

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CN110648421B
CN110648421B CN201910865995.0A CN201910865995A CN110648421B CN 110648421 B CN110648421 B CN 110648421B CN 201910865995 A CN201910865995 A CN 201910865995A CN 110648421 B CN110648421 B CN 110648421B
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decarburization
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陈银莉
韦贺
胡磊
麻晗
米振莉
陈焕德
苏岚
孙志威
吴家明
宋勇
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University of Science and Technology Beijing USTB
Jiangsu Shagang Group Co Ltd
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Abstract

The invention provides a method for calculating the thickness of a decarburized layer on the surface of decarburized spring steel, and belongs to the technical field of high-speed wire steel rolling. The method comprises the steps of firstly, calculating the theoretical equilibrium carbon concentration of the surface of a steel piece under different decarburization atmosphere conditions; then, under the conditions of different heating temperatures and heating time, the carbon content in the decarburization layer and the diffusion coefficient of carbon in ferrite are calculated; and finally, calculating the thickness of the decarburized layer on the surface of the steel part according to a decarburizing model calculation formula and by combining Gaussian error function analysis. The online prediction of the thickness of the decarburized layer in the hot continuous rolling process can be carried out in real time through the furnace atmosphere parameters, the temperature parameters and the time parameters in the real-time database of the hot rolling production line, and the hot rolling process parameters are adjusted according to the online prediction, so that the purposes of reducing the thickness of the decarburized layer and improving the surface quality of the spring steel are achieved.

Description

Method for calculating thickness of decarburized layer on surface of decarburized spring steel
Technical Field
The invention relates to the technical field of high-speed wire steel rolling, in particular to a method for calculating the thickness of a decarburized layer on the surface of decarburized spring steel.
Background
Spring steel is widely applied to the fields of various machines, instruments, traffic, petrochemical industry and the like. Along with the increasingly harsh working conditions of the spring steel, the requirements on the surface quality of the spring steel are also increasingly strict. In the hot continuous rolling process of the spring steel bar wire, the control of the thickness of the surface decarburized layer is one of surface quality control key technologies, the real-time monitoring of the thickness change of the surface decarburized layer is realized, and the control of the surface quality is the basis. Therefore, the exploration of the precise evolution law of the thickness of the decarburized layer of the spring steel in the hot continuous rolling process and different atmosphere environments is more and more important.
At present, researches on the thickness of the decarburized layer of the steel part mostly focus on the aspect of off-line measurement, and a metallographic method is mainly adopted. Further, chinese patent CN108195331A discloses a method for obtaining the thickness of a decarburized layer on a steel surface, which comprises pressing a steel material to be measured with a press head, and measuring the thickness of the decarburized layer according to the variation of the pressing speed. At present, the research on the thickness of the decarburized layer of the steel piece in the hot continuous rolling process reaching the online soft measurement through theoretical calculation is very little.
The invention realizes the technology of regulating and controlling the thickness of the surface layer decarburized layer of the spring steel in real time by applying an on-line prediction calculation method in the hot continuous rolling process, and has important influence on the development of reducing the production cost and producing high-surface-quality spring steel bar wires.
Disclosure of Invention
The invention aims to solve the technical problem of providing a method for calculating the thickness of a decarburized layer on the surface of decarburized spring steel, which combines real-time data of furnace atmosphere, heating temperature and heating time in the actual process of hot continuous rolling as input parameters to realize real-time prediction of the thickness change of the decarburized layer, thereby achieving the purposes of adjusting process parameters to control the thickness of the decarburized layer and improving the surface quality of a spring steel rod wire rod, and providing a new development direction for the high-quality surface layer processing technology of the rod wire rod.
The method comprises the following steps:
(1) determining the equilibrium carbon concentration according to the furnace atmosphere:
spring steel in decarburization atmosphere H2O、CO2、O2And H2The content of (A) is varied with the decarburization reaction, and the equilibrium carbon concentration C is sets0 to 0.01;
(2) determining the carbon content in the decarburization layer and the diffusion coefficient of carbon in ferrite:
the carbon content C of the spring steel in the decarburization layer is calculated according to the following formula:
Figure GDA0002743473600000021
wherein C is the carbon content in the decarburization layer,%; c0Original carbon content in steel,%; t is the holding time, s; d is the diffusion coefficient of carbon in ferrite, m2S; d is the thickness of the decarburized layer, m;
the diffusion coefficient D of carbon in ferrite is calculated as follows:
Figure GDA0002743473600000022
wherein D is0Is a diffusion constant, m2S; q is the diffusion activation energy, J/mol; r is a gas constant, J/(mol. K); t is absolute temperature, K;
(3) establishing spring steel decarburization measurement models at different heat preservation temperatures and different heat preservation times, and determining the thickness of the surface decarburized layer:
calculating the theoretical equilibrium carbon concentration C of the surface of the steel part under the condition of different furnace gas component partial pressures by utilizing the method in the step (1)s(ii) a Calculating the carbon content C in the decarburized layer in the steel and the diffusion coefficient of carbon in ferrite at different temperatures according to the method in the step (2)D。
The spring steel decarburization model calculation formula at different heating temperatures, different heating times and different furnace atmospheres is as follows:
Figure GDA0002743473600000023
wherein d is the thickness of the decarburized layer in the steel. According to the formula and the combination of the Gaussian error function, the evolution rule of the thickness d of the decarburized layer in the steel can be obtained.
Wherein, the chemical reaction equation of the decarburization in the step (1) is as follows:
ax+[C]=by+cz
wherein a, b and c are coefficients of a chemical equation, x is a reaction participating gas, and y and z are production gases.
In the step (1), the equilibrium carbon concentration is related to the carbon activity of the surface of the spring steel, and the calculation formula of the carbon activity of the surface of the spring steel is as follows:
Figure GDA0002743473600000031
wherein, acIs the activity of carbon in austenitized steel; kPAs an equilibrium constant, when the temperature is constant KPIs a constant; px、Py、PzRespectively representing the partial pressure,%, of each component of the furnace gas; csatA saturated carbon concentration of austenite, when the temperature is constant, CsatIs constant,%; csThe carbon content in the steel surface and the furnace gas in balance determines the decarburization degree and speed of the steel surface layer.
As can be seen from the above formula, the different furnace gas component partial pressures determine the theoretical equilibrium carbon concentration C on the surface of the steel members. If the furnace gas continuously flows and the decarbonization reaction product is continuously taken away in the actual production process, the reaction is continuously shifted to the right, and the equilibrium carbon concentration C can be adjustedsSetting the value to 0-0.01.
Under the condition of variable temperature, the thickness of the decarburization layer in the steel can be decomposed into a plurality of tiny isothermal units to calculate the generation sum, and at this time, the calculation model formula of the thickness of the decarburization layer in the step (3) is as follows:
Figure GDA0002743473600000032
Figure GDA0002743473600000033
wherein, CiRepresents the carbon content,%, in the decarburization layer at time i; csiRepresents the content of carbon,%, at time i when the steel surface and the furnace gas are in equilibrium; diDenotes the diffusion coefficient of carbon in ferrite, cm at time i2/s;tiRepresents the time step at time i, s; diShowing time i, constant temperature TiA thickening of the decarburisation layer thickness, mm, wherein i ═ 1, 2, 3, … N; t isiRepresents the decarburization temperature at time i, K; c0Representing the original content of carbon in the steel.
The technical scheme of the invention has the following beneficial effects:
according to the scheme, the thickness of the surface decarburized layer can be predicted in real time, the method has the advantages of being simple and fast, and the method has important significance for actual production of an enterprise site.
Drawings
FIG. 1 is a schematic view of a model for controlling the thickness of a decarburized layer on the surface of a steel member on line at an enterprise production site according to the method for calculating the thickness of a decarburized layer on the surface of a decarburized spring steel of the present invention;
FIG. 2 is a graph showing the total decarburization layer thickness of 55SiCr type spring steel hot-rolled in an air atmosphere at 1000 ℃ on site in the example of the invention.
Detailed Description
In order to make the technical problems, technical solutions and advantages of the present invention more apparent, the following detailed description is given with reference to the accompanying drawings and specific embodiments.
The invention provides a method for calculating the thickness of a decarburized layer on the surface of decarburized spring steel.
As shown in fig. 1, the method comprises the steps of:
(1) determining the equilibrium carbon concentration according to the furnace atmosphere:
spring steel in decarburization atmosphere H2O、CO2、O2And H2The content of (A) is varied with the decarburization reaction, and the equilibrium carbon concentration C is sets0 to 0.01;
(2) determining the carbon content in the decarburization layer and the diffusion coefficient of carbon in ferrite:
the carbon content C of the spring steel in the decarburization layer is calculated according to the following formula:
Figure GDA0002743473600000042
wherein C is the carbon content in the decarburization layer,%; c0Original carbon content in steel,%; t is the holding time, s; d is the diffusion coefficient of carbon in ferrite, m2S; d is the thickness of the decarburized layer, m;
the diffusion coefficient D of carbon in ferrite is calculated as follows:
Figure GDA0002743473600000041
wherein D is0Is a diffusion constant, m2S; q is the diffusion activation energy, J/mol; r is a gas constant, J/(mol. K); t is absolute temperature, K;
(3) establishing spring steel decarburization measurement models at different heat preservation temperatures and different heat preservation times, and determining the thickness of the surface decarburized layer:
the spring steel decarburization model calculation formula at different heating temperatures, different heating times and different furnace atmospheres is as follows:
Figure GDA0002743473600000051
wherein d is the thickness of the decarburized layer in the steel.
The following description is given with reference to specific examples.
Example 1
In the embodiment of the invention, 55SiCr type spring steel is adopted,
Figure GDA0002743473600000054
and (3) wire rods.
The model for calculating the thickness of the decarburized layer on the surface of the hot continuous rolling 55SiCr type spring steel comprises the following steps:
taking the case of heating at 1000 ℃ for 60min in an air atmosphere, for example, when the carbon concentration is reduced to 85% as the starting point of the semi-decarburization, the decarburized layer depth of the 55SiCr spring steel is the distance from the surface of the structure containing 85% carbon in the steel.
Step 1: under the condition of air atmosphere, the main decarburization chemical reaction equation of the 55SiCr spring steel surface layer is as follows:
Figure GDA0002743473600000052
theoretical equilibrium carbon concentration C on 55SiCr spring steel surfaces
Cs=Csat·ac=1.55×0.24=0.37%
Step 2: the carbon content of the 55SiCr spring steel in the decarburization layer is as follows:
C=C0×85%=0.0055×0.85=0.47%
the diffusion coefficient of carbon in ferrite at the heating temperature of 1000 ℃ is as follows:
Figure GDA0002743473600000053
and step 3: establishing a 55SiCr spring steel decarburization measurement model under the conditions of heat preservation temperature of 1000 ℃ and heat preservation time of 3600s, and determining the thickness of a surface decarburized layer:
calculating the theoretical equilibrium carbon concentration C of the surface of the 55SiCr steel piece under the air atmosphere condition by utilizing the method described in the step 1s(ii) a And (3) calculating the carbon content C in the decarburized layer and the diffusion coefficient D of carbon in ferrite in the 55SiCr steel at 1000 ℃.
The decarburization model calculation formula of 55SiCr spring steel under the conditions of the holding temperature of 1000 ℃, the holding time of 3600s and the air atmosphere is as follows:
Figure GDA0002743473600000061
from the gaussian error function:
d=0.372(mm)
the total decarburized layer thickness of 55SiCr type spring steel hot-rolled in an air atmosphere at 1000 ℃ in situ is shown in FIG. 2.
While the foregoing is directed to the preferred embodiment of the present invention, it will be understood by those skilled in the art that various changes and modifications may be made without departing from the spirit and scope of the invention as defined in the appended claims.

Claims (1)

1. A method for calculating the thickness of a decarburized layer on the surface of decarburized spring steel is characterized by comprising the following steps of: the method comprises the following steps:
(1) determining the equilibrium carbon concentration according to the furnace atmosphere:
spring steel in decarburization atmosphere H2O、CO2、O2And H2The content of (A) is varied with the decarburization reaction, and the equilibrium carbon concentration C is sets0 to 0.01;
(2) determining the carbon content in the decarburization layer and the diffusion coefficient of carbon in ferrite:
the carbon content C of the spring steel in the decarburization layer is calculated according to the following formula:
Figure FDA0002743473590000011
wherein C is the carbon content in the decarburization layer,%; c0Is the original carbon content in the steel,%; t is the holding time, s; d is the diffusion coefficient of carbon in ferrite, m2S; d is the thickness of the decarburized layer, m;
the diffusion coefficient D of carbon in ferrite is calculated as follows:
Figure FDA0002743473590000012
wherein D is0Is a diffusion constant, m2S; q is the diffusion activation energy, J/mol; r is a gas constant, J/(mol. K); t is absolute temperature, K;
(3) establishing spring steel decarburization measurement models at different heat preservation temperatures and different heat preservation times, and determining the thickness of the surface decarburized layer:
the spring steel decarburization model calculation formula at different heating temperatures, different heating times and different furnace atmospheres is as follows:
Figure FDA0002743473590000013
wherein d is the thickness of the decarburized layer in the steel;
the equilibrium carbon concentration in the step (1) is related to the carbon activity of the surface of the spring steel, and the calculation formula of the carbon activity of the surface of the spring steel is as follows:
Figure FDA0002743473590000014
wherein, acIs the activity of carbon in austenitized steel; kPAs an equilibrium constant, when the temperature is constant KPIs a constant; px、Py、PzRespectively representing the partial pressure,%, of each component of the furnace gas; csatA saturated carbon concentration of austenite, when the temperature is constant, CsatIs constant,%; csThe content of carbon in the steel surface and the furnace gas in balance determines the decarburization degree and speed of the steel surface layer;
under the condition of variable temperature, the calculation model formula of the thickness of the decarburized layer in the step (3) is as follows:
Figure FDA0002743473590000021
Figure FDA0002743473590000022
wherein, CiRepresents the carbon content,%, in the decarburization layer at time i; csiRepresents the content of carbon,%, at time i when the steel surface and the furnace gas are in equilibrium; diDenotes the diffusion coefficient of carbon in ferrite, cm at time i2/s;tiRepresents the time step at time i, s; diShowing time i, constant temperature TiA thickening of the decarburisation layer thickness, mm, wherein i ═ 1, 2, 3, … N; t isiRepresents the decarburization temperature at time i, K; c0Represents the original content of carbon in the steel;
the chemical reaction equation of decarburization in the step (1) is as follows:
ax+[C]=by+cz
wherein a, b and c are coefficients of a chemical equation, x is a reaction participating gas, and y and z are production gases.
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