CN111933221B - Method for predicting dynamic recrystallization fraction of Nb microalloyed steel - Google Patents
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Abstract
The invention discloses a method for predicting dynamic recrystallization fraction of Nb microalloyed steel, belonging to the technical field of steel research and machine learning intersection; according to the method, a data set of dynamic recrystallization behavior of the Nb microalloy steel is constructed by experimental data of dynamic recrystallization type rheological stress of the existing C-Mn-Nb microalloy steel, a model between chemical components, process parameters and rheological stress curve characteristics is built by using a BP neural network based on Bayesian regularization, and the dynamic recrystallization score mathematical model is used for realizing high-precision prediction of the dynamic recrystallization score, so that the workload of single compression experiments and quenching experiments is obviously reduced, and the efficiency of predicting the dynamic recrystallization score is improved.
Description
Technical Field
The invention belongs to the technical field of steel research and machine learning, and particularly relates to a method for predicting dynamic recrystallization fraction of Nb microalloyed steel.
Background
The austenite dynamic recrystallization during the high-temperature deformation of the Nb microalloyed steel has great influence on the transformation behavior and the final performance of the subsequent austenite, and the research on the dynamic recrystallization behavior can provide basis for formulating the optimal controlled rolling process. At present, two main methods exist for researching the dynamic recrystallization fraction of austenite, one is to adopt a single-pass thermal compression experiment to quench at different deformation, and directly carry out metallographic observation to count the recrystallization fraction; the other is a mathematical model based on the recrystallization score. Recrystallization behavior can be described according to quenching experiments, but the experimental effort is large. The recrystallization fraction at different deformation levels can be predicted from a mathematical model of the recrystallization fraction, but the model has various forms and model parameters are only applicable to specific components and process conditions. And the machine learning can learn the characteristics in the data set according to the existing data set, and has the advantages of high precision and strong universality. However, in terms of dynamic recrystallization score prediction, machine learning has not been applied yet, and development of work of machine learning in terms of dynamic recrystallization score prediction has a very important meaning.
By searching the national intellectual property office database and the SOOPAT database, the patent CN106053754B authorizes a method for predicting the dynamic recrystallization fraction of the high alloyed material under the time-varying working condition, a metallographic microstructure is obtained through a large number of thermal simulation experiments and quenching experiments, and a traditional dynamic recrystallization dynamics model is improved into a new model capable of predicting the dynamic recrystallization fraction under the time-varying working condition, but the patent has two defects: (1) it requires a large number of thermal modeling and quenching experiments, (2) the recrystallization fraction model is only applicable to specific components and process conditions. Patent CN110068507a discloses a method for correcting a traditional recrystallization model, which obtains samples under different deformation conditions through a large number of physical simulation tests, calculates the recrystallization fraction of a core, and obtains the true strain of the core of the sample by using numerical simulation software; obtaining model parameters by adopting a fitting method, and fitting the obtained model parameters with the Zener-Hollomon parameters to obtain recrystallization model parameters under other conditions, wherein the method has the defects: (1) the model parameters obtained by fitting have low precision, and (2) a large number of thermal deformation experiments and numerical simulation experiments are needed, so that the cost is high and the simulation time is long.
Disclosure of Invention
Aiming at the problems existing in the prior art, the invention provides a method for predicting the dynamic recrystallization fraction of Nb microalloyed steel. The method combines a mathematical model and machine learning to predict the dynamic recrystallization fraction of the Nb microalloy steel, has higher precision, wide application range and short consumption time, can obviously reduce a large amount of quenching experiment workload, and is suitable for predicting the dynamic recrystallization fraction of any steel grade or alloy.
A method of predicting the dynamic recrystallization fraction of Nb microalloyed steel comprising the steps of:
step 1, constructing an initial data set of dynamic recrystallization behavior of Nb microalloyed steel by experimental data of dynamic recrystallization type rheological stress of the existing C-Mn-Nb microalloyed steel, wherein the data set comprises: C. mn and Nb contents, heating temperature, deformation temperature, strain rate and maximum strain amount;
step 2, screening a rheological stress curve conforming to a physical metallurgy law to obtain a screening data set;
step 3, selecting a dynamic recrystallization fraction mathematical model form, wherein the dynamic recrystallization fraction mathematical model is as follows:
wherein f dyn For the dynamic recrystallization fraction, t is time,for strain rate, b (ε) and n (ε) are variables related to strain ε.
Assume that: (1) reaching critical strain ε c When the dynamic recrystallization fraction was 0.5%; (2) reaching steady state strain ε s The dynamic recrystallization fraction was 99%. Formulae (2) and (3) can be obtained:
obtainable by the formulae (2) and (3),wherein (1)>t c To achieve critical strain epsilon c Time t of (2) s To achieve steady state strain ε s Time of epsilon c For critical strain, ε p For peak strain, ε s Is steady state strain, k is a constant;
step 4, determining the actual measurement critical strain epsilon of each rheological stress curve in the data set according to the rheological stress curves in the screening data set c Peak strain epsilon p And steady state strain ε s ;
Step 5, according to critical strain epsilon c And peak strain epsilon p Relation epsilon of (2) c =kε p Calculating the k value of each rheological stress curve;
step 6, establishing a nonlinear mapping network relation model between chemical components, technological parameters and dynamic recrystallization type rheological stress characteristics by using a BP neural network based on Bayesian regularization, and training the model to obtain a trained network model;
step 7, selecting at least one group of components and processes according to the trained network relation model, and predicting rheological stress characteristics;
and step 8, predicting the dynamic recrystallization fraction according to the rheological stress characteristics predicted in the step 7 and the dynamic recrystallization fraction mathematical model selected in the step 3.
In the step 4, the critical strain epsilon of each rheological stress curve is determined c Peak strain epsilon p Steady state strain ε s The specific process is as follows: determining peak strain epsilon from peaks on a rheological stress curve (i.e., stress sigma-strain epsilon curve) p The method comprises the steps of carrying out a first treatment on the surface of the Definition of Strain hardening Rate(Δσ is the stress increment, Δε is the strain increment), and the strain when θ is recovered to 0 value for the first time is defined as the steady state strain ε from the strain hardening rate θ -strain ε curve s The method comprises the steps of carrying out a first treatment on the surface of the Deriving the strain hardening rate θ from the stress σ to obtain +.>According toPeak determination of critical stress sigma of curve c Critical strain epsilon c Determined from the stress sigma-strain epsilon curve.
In the step 6, a non-linear mapping network relation model between chemical components, technological parameters and dynamic recrystallization type rheological stress characteristics is established by adopting a BP neural network based on Bayesian regularization, and training of the model is carried out, wherein the specific process is as follows: establishing a three-layer neural network relation by adopting a BP neural network based on Bayesian regularization, wherein input parameters of an input layer are C content, mn content, nb content, heating temperature, deformation temperature, strain rate and maximum strain; the output parameter of the output layer is peak strain epsilon p Steady state strain ε s And k; the number of hidden layer neurons is 5.
In the step 7, at least one group of components and processes are selected according to the trained network relation model, and rheological stress characteristics are predicted, wherein the specific process is as follows: for the components to be predicted and their processes, the rheological stress characteristics are predicted: peak strain epsilon p Steady state strain ε s And k.
Compared with the prior art, the invention has the advantages that:
(1) The applicability is wide. The invention collects more than 280 dynamic recrystallization type rheological stress curves of the C-Mn-Nb microalloy steel, constructs a C-Mn-Nb microalloy steel data set, and the data set contains comprehensive chemical components and technological parameter information of the Nb microalloy steel, thereby avoiding the defect of information deficiency under single steel grade or technological condition and leading a machine learning model to have wider applicability;
(2) The precision is higher. The invention adopts a machine learning method to construct a network relation model among chemical components, process parameters and rheological stress characteristics, overcomes the defect of low precision of the traditional dynamic recrystallization fraction mathematical model, and has the advantage of high precision;
(3) A large number of single-pass compression and subsequent quenching experiments can be reduced. According to the invention, a network relation model among chemical components, process parameters and rheological stress characteristics of the Nb microalloy steel series is established by adopting a machine learning algorithm, so that the rheological stress characteristics of different components and under process conditions can be predicted, meanwhile, the dynamic recrystallization fraction is predicted by using a recrystallization fraction mathematical model, the workload of single-pass compression and quenching experiments is greatly reduced, and the prediction efficiency of the dynamic recrystallization fraction is improved.
Drawings
FIG. 1 is a flow chart of a method for predicting the dynamic recrystallization fraction of Nb microalloyed steel in accordance with example 1 of the present invention;
FIG. 2 is a graph comparing predicted dynamic recrystallization fraction to measured dynamic recrystallization fraction for example 1 of the present invention, wherein:
fig. 2 (a) is a graph comparing the predicted dynamic recrystallization fraction with the measured dynamic recrystallization fraction in the a-component process, and fig. 2 (B) is a graph comparing the predicted dynamic recrystallization fraction with the measured dynamic recrystallization fraction in the B-component process.
Detailed Description
Embodiments of the present invention are further described below with reference to the accompanying drawings.
Example 1
A method for predicting the dynamic recrystallization fraction of Nb microalloyed steel, the flow chart of which is shown in fig. 1, comprising the steps of:
step 1, constructing an initial data set of dynamic recrystallization behavior of Nb microalloyed steel by experimental data of the existing 410 dynamic recrystallization rheological stress curves of the C-Mn-Nb microalloyed steel, wherein the data set comprises: C. mn and Nb contents, heating temperature, deformation temperature, strain rate and maximum strain amount;
step 2, screening a rheological stress curve conforming to a physical metallurgy law, wherein the screening standard is as follows: (1) judging whether the rheological stress curve accords with the physical metallurgy law under the same component and different deformation conditions. If the deformation temperature is reduced under the condition of different deformation temperatures of the same component, the rheological stress is gradually increased under the same strain quantity; under the condition of different strain rates of the same component, as the strain rate increases, the rheological stress gradually increases at the same strain quantity; (2) and judging whether the rheological stress curve accords with the physical metallurgy law or not when different components are in the same deformation condition. If the same deformation condition is different in Nb content, the rheological stress is gradually increased with the increase of the Nb content at the same strain amount; when the same deformation condition has different Mn contents, the rheological stress gradually increases with the increase of the Mn content and the same strain quantity; when the same deformation condition is different in C content, the rheological stress gradually decreases with the increase of the C content at the same strain amount. After screening by a physical metallurgy principle, a screening data set is obtained, wherein 280 rheological stress curves are included in the screening data set, and table 1 shows the screened steel grade and process information;
table 1 steel grade and process information after physical metallurgical principle screening
Step 3, selecting a dynamic recrystallization fraction mathematical model form;
in the embodiment of the invention, a dynamic recrystallization score mathematical model form is selected, and is as follows:
wherein f dyn For the dynamic recrystallization fraction, t is time,for strain rate, b (ε) and n (ε) are variables related to strain ε.
Assume that: (1) reaching critical strain ε c When the dynamic recrystallization fraction was 0.5%;(2) reaching steady state strain ε s The dynamic recrystallization fraction was 99%. Formulae (2) and (3) can be obtained:
obtainable by the formulae (2) and (3),wherein (1)>t c For the time to reach critical strain, t s For the time to reach steady state strain ε c For critical strain, ε p For peak strain, ε s Is steady state strain k is constant.
Step 4, determining the actual measurement critical strain epsilon of each rheological stress curve in the data set according to the rheological stress curves in the screening data set c Peak strain epsilon p And steady state strain ε s ;
In the embodiment of the invention, the peak strain epsilon is determined according to the peak value on the rheological stress curve (namely the stress sigma-strain epsilon curve) p The method comprises the steps of carrying out a first treatment on the surface of the Definition of Strain hardening Rate(Δσ is the stress increment, Δε is the strain increment), and the strain when θ is recovered to 0 value for the first time is defined as the steady state strain ε from the strain hardening rate θ -strain ε curve s The method comprises the steps of carrying out a first treatment on the surface of the Deriving the strain hardening rate θ from the stress σ to obtain +.>According to->Peak determination of critical stress sigma of curve c Critical strain epsilon c Determined from the stress sigma-strain epsilon curve.
Step 5, according to critical strain epsilon c And peak strain epsilon p Relation epsilon of (2) c =kε p Calculating the k value of each rheological stress curve, wherein table 2 is the determined rheological stress characteristic information;
table 2 screening rheological stress characterization information in data set
Step 6, establishing a nonlinear mapping network relation model between chemical components, technological parameters and dynamic recrystallization type rheological stress characteristics by using a BP neural network based on Bayesian regularization, and training the model to obtain a trained network model;
in the embodiment of the invention, the specific process of training the model is as follows: establishing a three-layer neural network relation by adopting a BP neural network based on Bayesian regularization, wherein input parameters of an input layer are C content, mn content, nb content, heating temperature, deformation temperature, strain rate and maximum strain; the output parameter of the output layer is peak strain epsilon p Steady state strain ε s And k; the number of hidden layer neurons is 5. And then training the model to obtain a trained network relation model.
Step 7, selecting at least one group of components and processes according to the trained network relation model, and predicting rheological stress characteristics;
in the embodiment of the invention, rheological stress characteristic prediction is carried out, and the specific process is as follows: two groups of components are selected respectively, including:
component A: 0.1C-1.42Mn-0.035Nb;
and the component B comprises the following components: 0.117C-1.21Mn-0.041Nb;
the corresponding process is as follows:
a process: deformation temperature 1100 ℃ and strain rate of 0.2s -1 Heating at 1400 deg.c to maximum strain of 3.0;
and B, technology: deformation ofAt 1050℃and strain rate of 0.1s -1 The heating temperature is 1200 ℃, and the maximum strain is 0.8.
For the components to be predicted and their processes, the rheological stress characteristics are predicted: peak strain epsilon p Steady state strain ε s And k, as a result of
The component A comprises the following processes: epsilon p =0.6211,ε s =2.3629,k=0.8048;
The component B comprises the following processes: epsilon p =0.2471,ε s =0.5968,k=0.8464。
And 8, predicting dynamic recrystallization fraction according to the rheological stress characteristics predicted in the step 7 and the dynamic recrystallization fraction mathematical model selected in the step 3, wherein a comparison chart of the predicted dynamic recrystallization fraction and the actual dynamic recrystallization fraction in the A component process is shown in fig. 2 (a), and a comparison chart of the predicted dynamic recrystallization fraction and the actual dynamic recrystallization fraction in the B component process is shown in fig. 2 (B).
Claims (3)
1. A method for predicting the dynamic recrystallization fraction of Nb microalloyed steel comprising the steps of:
step 1, constructing an initial data set of dynamic recrystallization behavior of Nb microalloyed steel by experimental data of dynamic recrystallization type rheological stress of the existing C-Mn-Nb microalloyed steel, wherein the data set comprises: C. mn and Nb contents, heating temperature, deformation temperature, strain rate and maximum strain amount;
step 2, screening a rheological stress curve conforming to a physical metallurgy law to obtain a screening data set; the screening standard is to judge whether the rheological stress curve accords with the physical metallurgy law under the same component and different deformation conditions;
step 3, selecting a dynamic recrystallization fraction mathematical model form, wherein the dynamic recrystallization fraction mathematical model is as follows:
wherein f dyn For the dynamic recrystallization fraction, t is time,b (epsilon) and n (epsilon) are variables related to strain epsilon for strain rate;
assume that: (1) reaching critical strain ε c When the dynamic recrystallization fraction was 0.5%; (2) reaching steady state strain ε s When the dynamic recrystallization fraction is 99%, formulae (2) and (3) can be obtained:
obtainable by the formulae (2) and (3),wherein (1)>t c To achieve critical strain epsilon c Time t of (2) s To achieve steady state strain ε s Time of epsilon c For critical strain, ε p For peak strain, ε s Is steady state strain, k is a constant;
step 4, determining the actual measurement critical strain epsilon of each rheological stress curve in the data set according to the rheological stress curves in the screening data set c Peak strain epsilon p And steady state strain ε s ;
Step 5, according to critical strain epsilon c And peak strain epsilon p Relation epsilon of (2) c =kε p Calculating the k value of each rheological stress curve;
step 6, establishing a nonlinear mapping network relation model between chemical components, technological parameters and dynamic recrystallization type rheological stress characteristics by using a BP neural network based on Bayesian regularization, and training the model to obtain a trained network model;
the BP neural network based on Bayesian regularization is adopted to establish a nonlinear mapping network relation model between chemical components, technological parameters and dynamic recrystallization type rheological stress characteristics, and training of the model is carried out, wherein the specific process is as follows: establishing a three-layer neural network relation by adopting a BP neural network based on Bayesian regularization, wherein input parameters of an input layer are C content, mn content, nb content, heating temperature, deformation temperature, strain rate and maximum strain; the output parameter of the output layer is peak strain epsilon p Steady state strain ε s And k; the number of hidden layer neurons is 5;
step 7, selecting at least one group of components and processes according to the trained network relation model, and predicting rheological stress characteristics;
and step 8, predicting the dynamic recrystallization fraction according to the rheological stress characteristics predicted in the step 7 and the dynamic recrystallization fraction mathematical model selected in the step 3.
2. The method for predicting dynamic recrystallization fraction of Nb microalloyed steel of claim 1, wherein in said step 4, critical strain ε of each rheological stress curve is determined c Peak strain epsilon p Steady state strain ε s The specific process is as follows: determining peak strain epsilon from peaks on a rheological stress curve p The method comprises the steps of carrying out a first treatment on the surface of the Definition of Strain hardening RateWherein Δσ is the stress increment and Δε is the strain increment; the strain when θ is recovered to 0 value for the first time is regarded as steady state strain ε according to the θ -strain ε curve of strain hardening rate s The method comprises the steps of carrying out a first treatment on the surface of the Deriving the strain hardening rate θ from the stress σ to obtain +.>According to->Peak determination of critical stress sigma of curve c Critical strain epsilon c Determined from the stress sigma-strain epsilon curve.
3. The method for predicting dynamic recrystallization fraction of Nb microalloyed steel according to claim 1, wherein in step 7, at least one set of components and processes are selected according to a trained network relationship model, and the predicted rheological stress characteristics are as follows: for the components to be predicted and their processes, the rheological stress characteristics are predicted: peak strain epsilon p Steady state strain ε s And k.
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