CN109657382A - A kind of preparation method of the Fe-Cu-C alloy material of predetermined hardness - Google Patents

A kind of preparation method of the Fe-Cu-C alloy material of predetermined hardness Download PDF

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CN109657382A
CN109657382A CN201811598373.8A CN201811598373A CN109657382A CN 109657382 A CN109657382 A CN 109657382A CN 201811598373 A CN201811598373 A CN 201811598373A CN 109657382 A CN109657382 A CN 109657382A
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CN109657382B (en
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常可可
陈雷雷
黄峰
李朋
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Ningbo Institute of Material Technology and Engineering of CAS
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Ningbo Institute of Material Technology and Engineering of CAS
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    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
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    • G06FELECTRIC DIGITAL DATA PROCESSING
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/18Manufacturability analysis or optimisation for manufacturability

Abstract

The present invention relates to a kind of preparation methods of the Fe-Cu-C alloy material of predetermined hardness, belong to investigation of materials method and technique field.This method comprehensive utilization of C alphad PHASE DIAGRAM CALCULATION, first-principles calculations and multi-component diffusion are occasionally tested, by " Atomic Arrangement-alloying component-synthesis temperature-phase structure-elasticity modulus-alloy rigidity " large database concept for establishing Fe-Cu-C system, it can be quickly obtained alloying component, synthesis temperature and the phase composition information of the Fe-Cu-C alloy of aimed hardness, be directly used in the preparation for instructing the Fe-Cu-C alloy of high rigidity.Compared with traditional material design method, the specific aim and purpose of this method are stronger, after setting up the hardness large database concept of Fe-Cu-C alloy, the preparation that the database instructs the Fe-Cu-C alloy of different target hardness can be recycled, manpower and material resources cost is greatly saved.

Description

A kind of preparation method of the Fe-Cu-C alloy material of predetermined hardness
Technical field
The invention belongs to investigation of materials method and technique fields, and in particular to a kind of Fe-Cu-C alloy material of predetermined hardness The preparation method of material.
Background technique
Steel material based on Fe-C alloy is the most commonly used metal material of the mankind, and hardness is high, mechanical performance It is good, it is resourceful, it is at low cost, it suffers from and is widely applied in the every field of social production life, be indispensable strategy Property basic industries product, thus it is known as " industrial grain ".The industrial process of almost all of industrialized country is all from steel What the extensive use of material started, steel industry directly determines the industrialization basis of entire country, even in global industry Under the megatrend actively changed to new industrialization, steel and iron industry is still to evaluate the basic mark of a national industrialized level It is quasi-.
However, traditional Fe-C alloy due to the limitation of material property be already unable to satisfy Aeronautics and Astronautics, medical treatment, nuclear energy, The demand of the high leading-edge field such as deep space exploration and defence equipment.Cu element in Fe-Cu-C alloy can form solid in the alloy Molten phase is to promote the hardness of alloy, while the better thermal conductivity of Cu also improves the high-temperature behavior of Fe-Cu-C alloy.However, not Appropriate Cu content will increase the red brittleness of Fe-Cu-C alloy during the rolling process, considerably increase the manufacture of Fe-Cu-C alloy Difficulty limits the use scope of Fe-Cu-C alloy.
First-principles calculations (the First-Principle calculations) are based on density functional theory A kind of theoretical analysis method, it is only with 5 physics constants: m0、e、h、c、kbAnd any empirical parameter is not depended on The state and property of reasonable prediction microsystem.Density functional theory (DFT, Density Functional Theory) Crucial place is that electron density distribution is not re-used as electron wave function distribution, but as tentative function, total energy E expression For the functional of electron density.The calculation method of first principle is that its basic principle is that Density functional reason is solved by pseudopotential method The Kohn-Sham equation of opinion: F [ρ]=<Φ | T+V | Φ>, obtain the total energy and charge density spatial distribution of polyelectron system.
Diffusion couple tests the phase interdiffusion phenomenon based on element between interface, and this phenomenon Producing reason is from thermodynamic (al) angle It is that entropy increases theorem that degree, which goes to explain,.Phase counterdiffusion of the element in interface has led to new compound or solid solution in interface It generates, due to the inhomogeneities of diffusion, One Diffusion Process occasionally tests the sample of available multiple ingredients.It is diffused and occasionally tests General step are as follows: 1) prepare diffusion member;2) interface of each diffusion member is made to form metallurgical bonding;3) sample is heat-treated, is made Sample forms specified phase structure.
In order to control the alloying component of Fe-Cu-C alloy accurately to obtain the Fe-Cu-C alloy of aimed hardness, avoid blind Purpose setup parameter prepares alloy material, needs to develop a kind of preparation of the Fe-Cu-C alloy material of novel predetermined hardness Method, for guidance system for target Fe-Cu-C alloy material.
Summary of the invention
The object of the present invention is to provide a kind of preparation methods of the Fe-Cu-C alloy material of predetermined hardness, by building The large database concept of vertical Fe-Cu-C alloy system, can be quickly obtained the correspondence parameter of predetermined hardness Fe-Cu-C alloy, the preparation Method specific aim is stronger, and more use manpower and material resources sparingly cost, improves the efficiency of material preparation process.
The purpose of the present invention is achieved through the following technical solutions:
A kind of preparation method of the Fe-Cu-C alloy material of predetermined hardness, includes the following steps:
(1) utilize Calphad PHASE DIAGRAM CALCULATION method, by Mathematical Fitting thermodynamical model, regular solution thermodynamical model and R-K thermodynamical model substitutes into PHASE DIAGRAM CALCULATION and is iterated calculating, obtains the thermodynamic parameter of Fe-Cu-C system and constructs Fe- The phase chart database of Cu-C system;
(2) elasticity of Fe-Cu-C alloy material of the specified ingredient at a temperature of is calculated using first-principles calculations method Constant matrices calculates body modulus and modulus of shearing using classical fitting formula, recycles empirical equation that Fe-Cu-C is calculated The theoretical hardness of alloy material;
(3) laboratory sample is prepared using multi-component diffusion idol experimental method, and high-resolution material property characterization is carried out to sample, Obtain the phase structure, alloying component, the experimental data of elasticity modulus and alloy rigidity of material;
(4) it carries out interrelated to above-mentioned calculating and experimental result and verifies, it is established that the big number of Fe-Cu-C alloy system According to library;
(5) according to the predetermined hardness of Fe-Cu-C alloy material, corresponding preparation parameter is obtained from the large database concept, The last Fe-Cu-C alloy material that the predetermined hardness is made according to obtained parameter.
Three kinds of Calphad PHASE DIAGRAM CALCULATION method, first-principles calculations method and multi-component diffusion idol experimental method materials are ground Method common service is studied carefully in " the Atomic Arrangement-alloying component-synthesis temperature-phase structure-elasticity modulus-alloy of Fe-Cu-C system The foundation of hardness " large database concept, these three investigation of materials methods can obtain some materials of Fe-Cu-C system large database concept respectively Information and its interrelated can be mutually authenticated it and obtain the accurate of information by the way that three kinds of methods combine Property to which the large database concept of research system can not only be set up, and can be with the correctness of self-authentication database.
In step (1), it is iterated calculating using Pandat software, optimizes institute using Calphad PHASE DIAGRAM CALCULATION method Study the thermodynamic parameter of Fe-Cu-C system, calculating balances each other, obtain Fe-Cu-C system accurate phasor and alloying component, The relationship of synthesis temperature and phase structure.
Calphad PHASE DIAGRAM CALCULATION method is a kind of widely used thermodynamic system optimization method, with this method may be used To obtain system phase diagram database, to obtain the accurate phasor of system any ingredient arbitrary temp, also can analyze to obtain body Alloying component, the relationship of synthesis temperature and phase structure in system optimize the key step of Fe-Cu-C system thermodynamic parameter using it Are as follows:
Step 1: collecting the thermodynamics experiment data of Fe-Cu-C system in document, choosing description to Fe-Cu-C system, it is lucky The thermodynamical model of Buss free energy describes the Gibbs free energy of pure constituent element using Mathematical Fitting model, using regular solution The Gibbs free energy of liquid phase and other solid solution phases in model description system is described regular molten using R-K thermodynamical model The excess Gibbs free energy part of expressions of free energy in body Model;
Step 2: Mathematical Fitting model and regular solution model use different Gibbs free energy expressions, Mathematical Fitting The Gibbs free energy expression of model are as follows:
Gm=a+b × T+c × T × lnT+ ∑ dnTn 0.4
In formula 1.1, a, b, c, d are fitting parameter;
The Gibbs free energy expression of regular melt model are as follows:
In formula 1.2,EG indicates superfluous Gibbs free energy, describes surplus Gibbs free energy using R-K model are as follows:
EG=∑i,j,ky′iy'jy″kLi,j:k+∑i,j,ky'ky″iy″jLk:i,j 0.6
In formula 1.3, Li,j:kAnd Lk:i,jTo need the unknown parameter optimized, indicate to be filled with k in second sublattice When constituent element, the interaction parameter of i and j in first sublattice;Lk:i,jIndicate similar meaning;
Step 3: the initial value of unknown parameter, L in input type 1.1 and 1.2i,j:k=Lk:i,j=10000+10*T;
Step 4: using Calphad thermodynamic optimization software Thermo-Calc to unknown parameter Li,j:kAnd Lk:i,jIt carries out excellent Change and calculate, the phasor finally drawn according to the Gibbs free energy expression that optimum results determine and experimental data is made to coincide, Obtain correct parameter;
Step 5: the parameter of Gibbs free energy being write into .tdb file according to specific format, completes system phase diagram data The building in library;
Step 6: by known phase chart database, calculating the phasor of Fe-Cu-C system, obtain Fe-Cu-C system The relationship of phasor and alloying component, temperature and phase structure.
In step (1), the phase chart database contain the entropy of Fe-Cu-C system, enthalpy, activity and chemical potential thermodynamics Property, the phase chart database can be used for obtaining the phasor of the Fe-Cu-C system of any ingredient or arbitrary temp.
In step (1), it is often used MQM model in the prior art, but the universality of the model is very poor, it can not be in mainstream It is applicable in calphad PHASE DIAGRAM CALCULATION software Pandat, but the phase chart database that the model foundation selected of the present invention rises is more quasi- Really.
In step (2), the stability that phase is respectively formed in research system is determined using first principle calculation method;Using answering Power-energy method calculates the theoretical hardness of each composition phase, obtains the pass of Fe-Cu-C system phase structure, elasticity modulus and alloy rigidity System.
First-principles calculations method is based on quantum-mechanical theory, in the case where not needing the input of any external parameter, It is a kind of common investigation of materials side by the interaction of electron cloud between research atom to obtain the various properties of material Method.
The first-principles calculations software that the present invention uses is VASP, has used VASP software 4.5 when calculating elasticity modulus The new function being added in version can directly calculate the elastic constant of set system, avoid the previous elastic constant that calculates and use Stress-cumbersome the calculation process of energy force method, and the result calculated is also relatively reliable.
Pass through the key step of the theoretical hardness of the phase structure of first-principles calculations Fe-Cu-C system, each composition phase are as follows:
Step 1: finding out the theoretical cell parameter of one of composition phase of Fe-Cu-C system in the literature, bring first into Property principle software for calculation VASP in calculated, setup algorithm condition ISIF=3, carries out relaxation calculating to input structure cell at this time, The mutually accurate cell parameter of the composition is obtained from calculated result;
Step 2: the accurate cell parameter that step 1 is obtained is brought into VASP software, set design conditions at this time as ISIF=0 carries out static calculation to input structure cell, obtains the ground state energy E of required composition phase0
Step 3: choosing a kind of alloying component for being in the richness end Fe, constructed using the cell parameter being calculated in step 2 IBRION=6, ISIF=3, NFREE=4 is arranged in structure cell in VASP software, calculates the intrinsic bullet of material of selected alloying component Property constant (include C11, C12, C44);
Step 4: for the system selected in the present invention, the elastic constant that will be calculated in step 3 is brought into following formula 1.4 and formula 1.5 in, calculate the body modulus B and shear modulus G of materialV
The body modulus B and shear modulus G being then calculatedVIt is brought into following formula 1.6, calculates Young's modulus E;
E=9BGV(3B+GV) 1.6
The body modulus B and shear modulus G being finally calculatedVIt is brought into empirical equation 1.7, calculates the micro- of material Hardness HV
HV=2 (k2GV)0.585-3 1.7
Wherein k=B/GV
In step (3), laboratory sample is prepared using multi-component diffusion idol experimental method and high-resolution material is carried out to sample Can characterization, obtain the phase structure, alloying component, the experimental data of elasticity modulus and alloy rigidity of material, and with Calphad phasor It calculates and first-principles calculations data is associated.
By preparing multi-component diffusion idol sample, sample is then subjected to annealing experiment, available different-alloy ingredient Fe-Cu-C alloy, its available phase structure, alloying component, elasticity modulus and alloy rigidity after being characterized to alloy Experimental data.
The key step that multi-component diffusion is occasionally tested is carried out to Fe-Cu-C alloy are as follows:
Step 1: be a kind of diffusion couple, pure Fe and pure Cu with Fe-C alloy being respectively a kind of diffusion couple, by three kinds of material surfaces It is finely polished, and is in close contact three with fixture, then three kinds of materials are tied up with molybdenum filament, make up to smelting Gold combines;
Step 2: the sample after binding being put into annealing furnace, is being lower than 10-3It is carried out at annealing under the vacuum condition of Pa Reason, the temperature of annealing are 1000 DEG C, and annealing time is 240 hours;
Step 3: the sample after stepping back being cut open, observes its diffusion cross section with SEM, and carry out ingredient survey with EDS It is fixed, obtain phase structure and alloying component data;
Step 4: the region for the phase structure selected in sample diffusion section carries out nano-indentation experiment, obtains sample choosing Determine the elasticity modulus and alloy rigidity of phase structure.
Calphad PHASE DIAGRAM CALCULATION, first-principles calculations and multi-component diffusion idol experimentation of the present invention simultaneously into Row, three kinds of research methods that the present invention uses can carry out parallel, and acquired results, which can carry out being mutually authenticated, determines its reliability.
Compared with the prior art, the present invention has the following beneficial effects:
(1) " the Atomic Arrangement-alloying component-synthesis temperature-phase structure-of the invention by establishing Fe-Cu-C alloy system The large database concept of elasticity modulus-alloy rigidity " can be quickly obtained the hardness performance and alloying component, synthesis of Fe-Cu-C alloy The relationship of temperature and phase structure, and then the Fe-Cu-C alloy material of predetermined hardness is targetedly prepared, for Fe-Cu-C alloy Alloy rigidity mechanism understanding and research and development of products be of great significance;
(2) compared with traditional material design method, the design of material method specific aim is stronger, more uses manpower and material resources sparingly into This, improves the efficiency of material preparation.
Detailed description of the invention
Fig. 1 is research method process and schematic illustration of the invention;
Fig. 2 is isothermal section figure of the obtained Fe-Cu-C ternary phase diagrams of Calphad PHASE DIAGRAM CALCULATION at 1000 DEG C, wherein Abscissa is C content, and ordinate is Fe content;
Fig. 3 is the sample diffusion interface electron microscope carried out after the multi-component diffusion occasionally experiment that temperature is 1000 DEG C;
Fig. 4 is the obtained stress-strain diagram of nano-indentation experiment.
Specific embodiment
It elaborates with reference to the accompanying drawings and examples to the present invention, process and parameter of the present invention include But it is not limited to following embodiment.
The invention discloses a kind of preparation method of predetermined hardness Fe-Cu-C alloy material, Fig. 1 is research side of the invention Method process and schematic illustration, as shown in Figure 1, present invention employs Calphad PHASE DIAGRAM CALCULATION combination first-principles calculations and The method that multi-component diffusion is occasionally tested, to realize the preparation for the Fe-Cu-C alloy material for realizing predetermined hardness.
The phase chart database of Fe-Cu-C system in order to obtain uses three kinds of thermodynamics moulds in Calphad PHASE DIAGRAM CALCULATION Type carrys out the Gibbs free energy of description system, Calphad PHASE DIAGRAM CALCULATION method be used to obtain Fe-Cu-C alloy synthesis temperature, Ingredient and phase structure information, other two methods are finally interrelated by these information for obtaining the other information in figure, build The large database concept of Fe-Cu-C alloy is erected, large database concept is inquired, the preparation ginseng of the Fe-Cu-C alloy of predetermined hardness can be obtained Number, can prepare corresponding predetermined hardness alloy material using diffusion experiment.
Embodiment
(1) the phase chart database that Calphad PHASE DIAGRAM CALCULATION sets up system first is carried out to Fe-Cu-C alloy system, is made Thermodynamical model are as follows: Mathematical Fitting model, regular melt model and R-K thermodynamical model.
Calculate C-Fe binary system Liquid phase parameter when with described in summary of the invention the step of, set initial parameter asSuspension condition are as follows: usingIn the drawn phasor of parameter, w% (C)=8, T=2380K table The point shown (suspension condition is provided by the experimental data in document) in Liquid phase boundary passes through iterative calculation, gained C-Fe bis- The Liquid phase parameter of member system are as follows:Same method, which calculates in Fe-Cu-C system, to be owned Thermodynamic parameter, it is established that its phase chart database is as follows:
Establish phase chart database according to above-mentioned thermodynamic parameter, obtain system 1000 DEG C accurate phasor as shown in Fig. 2, The alloying component of Fe-Cu-C system, the relationship of synthesis temperature and phase structure are obtained by phase structure in analysis chart and ingredient, is removed Except this, the phasor at a temperature of other can also be obtained using phase chart database, therefore can establish alloy " synthesis temperature-ingredient- Phase structure " connects each other.
(2) stable, solid in conjunction with first-principles calculations Fe-Cu-C system mutually includes: Fcc phase, Bcc phase and Hcp Phase.
Different initial configurations is set for each phase, when calculating Fcc phase stability, establishing initial configuration is a=b= C=1.12nm, α=β=γ=90 ° atomicity are 16 face-centered cubic structure cells, carry it into VASP software for calculation, setting meter Calculation condition ISIF=3 carries out relaxation calculating to input structure cell, and the composition is obtained from calculated result, and mutually accurately cell parameter is A=b=c=1.12568nm, α=β=γ=90 °;
Then obtained accurate cell parameter is brought into again in VASP software, sets design conditions at this time as ISIF =0, static calculation is carried out to input structure cell, obtains the ground state energy E of required composition phase0=-96.4eV is calculated and is known its generation Enthalpy is Hf=-69193, shows that this is mutually stable phase for negative value, the ground state energy of other two phases is calculated using same procedure, The result shows that three solid-state phases in system are all stable phases.
A kind of alloying component for being in the richness end Fe is chosen, structure cell is constructed using obtained cell parameter, in VASP software IBRION=6, ISIF=3, NFREE=4 are set, and the intrinsic elastic constant of material for calculating selected alloying component (includes C11, C12, C44);The elastic constant that will be obtained again is brought into following equation 1 .3 and 1.4, calculates the body modulus B and modulus of shearing of material GV
The body modulus B and shear modulus G that will be calculated againVIt is brought into formula 1.5 and formula 1.6 respectively, calculates poplar Family name's modulus E and microhardness HV, result is as shown in table 1 below:
Table 1
(3) the Fe-5C alloy that the pure Cu of melting, pure Fe and mass fraction are 5%, preparation Fe-Cu-C multi-component diffusion is even, will expand It dissipates idol sample to be heat-treated 240 hours at 1000 DEG C, be sampled after quenching, sample is finally observed using the ingredient of EDS characterization sample, SEM Product pattern and obtain the phase composition of sample, Nanoindentation obtains the experiment microhardness of sample, result is as shown in table 2 below.
Fig. 3 is the sample diffusion interface Electronic Speculum shape appearance figure carried out after the multi-component diffusion occasionally experiment that temperature is 1000 DEG C, by Fig. 3 is it is found that there are three phase in electron microscope, two Fcc phases, Graphite phase in 2 phasor of corresponding diagram reconfirm PHASE DIAGRAM CALCULATION Correctness, while pass through EDS measure sample composition, the relationship of available " alloying component-synthesis temperature-phase structure ".
Fig. 4 is the obtained stress-strain diagram of nano-indentation experiment, and the experiment of sample can be calculated from the curve Elasticity modulus is 267.424GPa and hardness number is 647.
Table 2
(4) using alloying component as associated data, the microhardness that microhardness and experiment for calculating obtain, data are missed Poor very little (relative error < 6%), and variation tendency is identical illustrates to calculate data and experimental data is all reliable, therefore can be with Establish Fe-Cu-C alloy at 1000 DEG C " Atomic Arrangement-alloying component-synthesis temperature-phase structure-elasticity modulus-alloy is hard Degree " large database concept, as shown in table 3 below.
Table 3
(5) according to the predetermined hardness H of Fe-Cu-C alloyV=690, its corresponding performance is read from above-mentioned large database concept Alloying component is wt.% (Fe)=97.3~97.5, wt.% (Cu)=0~0.5, wt.% (Fe)=2.5~2.6, and can To obtain phase structure simultaneously as Fcc phase+Graphite phase, heat treatment is carried out at 1000 DEG C can be obtained the Fe-Cu- of desired hardness C alloy.

Claims (8)

1. a kind of preparation method of the Fe-Cu-C alloy material of predetermined hardness, includes the following steps:
(1) Calphad PHASE DIAGRAM CALCULATION method is utilized, by Mathematical Fitting thermodynamical model, regular solution thermodynamical model and R-K heat Mechanical model substitutes into PHASE DIAGRAM CALCULATION and is iterated calculating, obtains the thermodynamic parameter of Fe-Cu-C system and constructs Fe-Cu-C body The phase chart database of system;
(2) elastic constant of Fe-Cu-C alloy material of the specified ingredient at a temperature of is calculated using first-principles calculations method Matrix calculates body modulus and modulus of shearing using classical fitting formula, recycles empirical equation that Fe-Cu-C alloy is calculated The theoretical hardness of material;
(3) laboratory sample is prepared using multi-component diffusion idol experimental method, and high-resolution material property characterization is carried out to sample, obtained Phase structure, alloying component, the experimental data of elasticity modulus and alloy rigidity of material;
(4) it carries out interrelated to above-mentioned calculated result and experimental result and verifies, it is established that the big number of Fe-Cu-C alloy system According to library;
(5) according to the predetermined hardness of Fe-Cu-C alloy material, corresponding preparation parameter is obtained from the large database concept, finally The Fe-Cu-C alloy material of the predetermined hardness is made according to obtained parameter.
2. the preparation method of the Fe-Cu-C alloy material of predetermined hardness according to claim 1, which is characterized in that step (1) in, the Mathematical Fitting model is used to describe the Gibbs free energy of pure constituent element, and the regular solution model is used for Description The Gibbs free energy of liquid phase and other solid solution phases in system, the R-K thermodynamical model is for describing regular solution model The excess Gibbs free energy part of middle expressions of free energy.
3. the preparation method of the Fe-Cu-C alloy material of predetermined hardness according to claim 1, which is characterized in that step (1) in, the phase chart database contain the entropy of Fe-Cu-C system, enthalpy, activity and chemical potential macroscopic property, the phase Chart database is used to obtain the phasor of the Fe-Cu-C system of any ingredient or arbitrary temp.
4. the preparation method of the Fe-Cu-C alloy material of predetermined hardness according to claim 1, which is characterized in that step (1) in, the key step of Calphad PHASE DIAGRAM CALCULATION method optimization Fe-Cu-C system thermodynamic parameter is utilized are as follows:
Step 1: collecting the thermodynamics experiment data of Fe-Cu-C system in document, Fe-Cu-C system is chosen and describes its gibbs The thermodynamical model of free energy describes the Gibbs free energy of pure constituent element using Mathematical Fitting model, using regular solution model The Gibbs free energy of liquid phase and other solid solution phases in description system describes regular solution mould using R-K thermodynamical model The excess Gibbs free energy part of expressions of free energy in type;
Step 2: Mathematical Fitting model and regular solution model use different Gibbs free energy expressions, Mathematical Fitting model Gibbs free energy expression are as follows:
Gm=a+b × T+c × T × lnT+ ∑ dnTn 0.1
In formula 1.1, a, b, c, d are fitting parameter;
The Gibbs free energy expression of regular melt model are as follows:
In formula 1.2,EG indicates superfluous Gibbs free energy, describes surplus Gibbs free energy using R-K model are as follows:
EG=∑i,j,ky'iy'jy”kLi,j:k+∑i,j,ky'ky”iy”jLk:i,j 0.3
In formula 1.3, Li,j:kAnd Lk:i,jTo need the unknown parameter optimized, indicate to be filled with k constituent element in second sublattice When, the interaction parameter of i and j in first sublattice;Lk:i,jIndicate similar meaning;
Step 3: the initial value of unknown parameter, L in input type 1.1 and 1.2i,j:k=Lk:i,j=10000+10*T;
Step 4: using Calphad thermodynamic optimization software Thermo-Calc to knowing parameter Li,j:kAnd Lk:i,jCalculating is optimized, So that the phasor finally drawn according to the Gibbs free energy expression that optimum results determine and experimental data is coincide, obtains correct Parameter;
Step 5: the parameter of Gibbs free energy being write into .tdb file according to specific format, completes system phase diagram database Building;
Step 6: by known phase chart database, calculating the phasor of Fe-Cu-C system, obtain the phasor of Fe-Cu-C system And the relationship of alloying component, temperature and phase structure.
5. the preparation method of the Fe-Cu-C alloy material of predetermined hardness according to claim 1, which is characterized in that step (2) in, by the body modulus B and shear modulus G of Fe-Cu-C alloy material of the specified ingredient at a temperature ofVIt is public to substitute into following experience In formula, the theoretical hardness H of Fe-Cu-C alloy material is obtainedV:
HV=2 (k2GV)0.585-3;
In above formula, k=B/GV
6. the preparation method of the Fe-Cu-C alloy material of predetermined hardness according to claim 1, which is characterized in that step (2) in, the specific steps of the first-principles calculations method are as follows:
Step 1: finding out the theoretical cell parameter of one of composition phase of Fe-Cu-C system in the literature, bring primary original into It is calculated in reason software for calculation VASP, at this time setup algorithm condition ISIF=3, relaxation calculating is carried out to input structure cell, from meter It calculates in result and obtains the mutually accurate cell parameter of the composition;
Step 2: the accurate cell parameter that step 1 is obtained is brought into VASP software, sets design conditions at this time as ISIF =0, static calculation is carried out to input structure cell, obtains the ground state energy E of required composition phase0
Step 3: a kind of alloying component for being in the richness end Fe is chosen, constructs structure cell using the cell parameter being calculated in step 2, IBRION=6, ISIF=3, NFREE=4 are set in VASP software, calculate the intrinsic elastic constant of material of selected alloying component Matrix C11, C12, C44
Step 4: for the system selected in the present invention, the elastic constant being calculated in step 3 being brought into respectively following In classical fitting formula, the body modulus B and shear modulus G of material are calculatedV:
The body modulus B and shear modulus G that will be calculated againVIt is brought into following formula, calculates Young's modulus E:
E=9BGV(3B+GV);
The body modulus B and shear modulus G being finally calculatedVIt is brought into following empirical equation, calculates the micro- hard of material Spend HV:
HV=2 (k2GV)0.585-3
Wherein k=B/GV
7. the preparation method of the Fe-Cu-C alloy material of predetermined hardness according to claim 1, which is characterized in that step (4) in, the Atomic Arrangement of Fe-Cu-C alloy system, alloying component, synthesis temperature, phase structure, springform in the large database concept Amount and alloy rigidity are interrelated.
8. the preparation method of the Fe-Cu-C alloy material of predetermined hardness according to claim 1, which is characterized in that described Calphad PHASE DIAGRAM CALCULATION method, first-principles method and multi-component diffusion idol experimental method carry out simultaneously.
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CN110211642A (en) * 2019-06-14 2019-09-06 中国科学院宁波材料技术与工程研究所 CALPHAD free energy extracting method and device based on Phase Field
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CN111177940A (en) * 2020-01-03 2020-05-19 北京科技大学 Method and device for obtaining thermodynamic calculation aluminum alloy solidification phase composition at high flux
CN112164431A (en) * 2020-09-23 2021-01-01 北京科技大学 Design method and system of multi-element alloy
CN112289390A (en) * 2020-10-16 2021-01-29 中南大学 Data-driven evaluation method for creep endurance of multi-component high-temperature alloy
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CN112800609A (en) * 2021-01-29 2021-05-14 南京龙讯旷腾科技有限公司 Method and device for acquiring material phase diagram and computer readable and writable storage medium
CN113051729B (en) * 2021-03-15 2023-11-03 大连大学 Method for preparing SiC/graphite reinforced Cu-based composite material by sintering in atomic stacking theory
CN114959577A (en) * 2022-06-09 2022-08-30 中国科学院宁波材料技术与工程研究所 Cr-based multi-principal-element nitride coating and preparation method and application thereof
CN114959577B (en) * 2022-06-09 2024-05-14 中国科学院宁波材料技术与工程研究所 Cr-based multi-principal element nitride coating and preparation method and application thereof

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