CN106769465B - A kind of Ni3Al based alloy considers the method for building up of the physics constitutive model of Dislocation Evolution - Google Patents

A kind of Ni3Al based alloy considers the method for building up of the physics constitutive model of Dislocation Evolution Download PDF

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CN106769465B
CN106769465B CN201611195224.8A CN201611195224A CN106769465B CN 106769465 B CN106769465 B CN 106769465B CN 201611195224 A CN201611195224 A CN 201611195224A CN 106769465 B CN106769465 B CN 106769465B
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dislocation density
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张宏建
肖健峰
崔海涛
温卫东
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Nanjing University of Aeronautics and Astronautics
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Abstract

The invention discloses a kind of Ni3Al based alloy considers the method for building up of the physics constitutive model of Dislocation Evolution, includes the following steps: 1) Ni3Al based alloy IC10 is tested at 300K and 973K along the monotonic tension in grain growth direction, and controlled strain rate is 10‑3/ s:2) strain rate skip test under IC10 alloy 300K and 973K: 3) model the foundation of physics constitutive model and the acquisition of model parameter: the scanning electron microscope and transmission electron microscopy observation of IC10 alloy: 4) is established according to dislocation motion theory；Mechanical property test and microscopic test based on IC10 alloy, determine model parameter: 5) model is verified: after model foundation, carrying out simplation verification to the tensile property under IC10 alloy 300K and 973K.Beneficial effects of the present invention: this patent can accurately predict the simple tension mechanical property under IC10 alloy different temperatures, provide accurate material parameter for the further intensity of material and fatigue study, be of great significance to the engineering design of material.

Description

A kind of Ni3Al based alloy considers the method for building up of the physics constitutive model of Dislocation Evolution
Technical field
The present invention relates to aeronautical material fields, and in particular to Ni3The physics constitutive model of Al based alloy consideration Dislocation Evolution Method for building up.
Background technique
Ni3Al based alloy is widely used in the thermal structure in aero-engine due to its outstanding mechanical behavior under high temperature Part.Compared with traditional materials, Ni3Al based high-temperature alloy is high with fusing point, elevated temperature strength is high, density is low, specific stiffness is high and anti- The characteristics such as oxidation susceptibility is good.Great mass of data is studies have shown that Ni3Al based alloy has many unusual macro-mechanical characters: strain Rate sensitivity characteristic, yield stress and strain hardening rate increase, are unsatisfactory for as the temperature rises in certain temperature range Schmid rule etc..In order to explain these macro-mechanical characters, many scholars carry out for this material micro deformation mechanism Corresponding research, for the middle warm area (300K-923K) studied herein, mechanism study achievement is summarized as follows: (1) deformation process In, edge dislocation and screw dislocation can all have an impact the Plastic Flow of material in (2) deformation process, only 12 octahedrons Slip system is activated, and the dislocation between different slip system can influence each other (3) Ni3In Al based alloy deformation process, exist Special dislocation structure: KW lock and geometry dislocation (GNDs), while there is also special dislocation motion forms: the climbing of dislocation and Commutative Banach aglebra.
Currently, in order to predict Ni3The mechanical property of Al based alloy, different scholars propose many models, but It is in these models, most of is all macromodel.In a small number of micromodels, also go specifically to consider difference without scholar Influencing each other between the influence of dislocation form and different slip systems, most of micromodels are all to take handling averagely hand Section, such method can not directly reflect the micro deformation mechanism of material.
Summary of the invention
Goal of the invention: it is directed to the above-mentioned prior art, proposes a kind of Ni3Physics this structure mould of Al based alloy consideration Dislocation Evolution Type method for building up, being capable of Accurate Prediction Ni3Simple tension mechanical property of the Al based alloy in middle warm area.
A kind of technical solution: Ni3Al based alloy considers the physics constitutive model method for building up of Dislocation Evolution, including walks as follows It is rapid:
Step 1: to Ni3Al based alloy IC10 carries out monotonic tension test along grain growth direction at 300K and 973K, Its monotonic tension mechanical property at two temperature of 300K and 973K is obtained respectively, determines that material is joined according to initial yield intensity Number c3And c4；
Step 2: carrying out strain rate skip test at 300K and 973K to IC10 alloy, its hot activation volume is obtained, really Material parameter c in cover half type1And c2；
Step 3: being observed with the microstructure that scanning electron microscope and transmission electron microscope obtain IC10 alloy Figure measures the dislocation density under crystals are differently strained in deformation process under 973K with graphical measurement tool, determines model In parameter θf、WithThese three parameters have codetermined the dislocation density development law in IC10 deformation process；
Step 4: being based on crystal dislocation motion theory, dislocation is considered as a result, establishing it in conjunction with the microcosmic observation of IC10 alloy The physics constitutive model of evolution, includes the following steps:
(4-1) is theoretical according to crystal plastotype, and stress rate is indicated by following formula:
In formula,It is the Jaumann derivative of the cauchy stress tensor based on initial configuration, D is deformation-rate tensor, N For the total number for opening slip system in deformation process, default only has octahedra slip system to open herein, and N=12, EMT indicate wink When elasticity modulus, PαAnd BαIt is defined respectively as:
Bα=Wασ+σWα
In formula, σ is cauchy stress tensor, m*αAnd n*αRespectively indicate the glide direction and sliding of translation gliding system after deforming Normal direction；
The foundation of flow rule in (4-2) constitutive model:
Shear-deformable rate on any slip systemIt is expressed from the next:
In formula, b is Burgers vector, ρmeAnd ρmsRespectively indicate crystals edge dislocation density and spiral shell in deformation process Type dislocation density；WithThe movement velocity of edge dislocation and screw dislocation is respectively indicated, α indicates current sliding system；λαIt is The jump width of dislocation, the quality of stand dislocation density with crystalsCorrelation,c1For material constant；QslipIt is heat shock Energy living, VαIt is activation volume, Vα=c2b2λα, c2It is material constant；KBIt is Boltzmann constant, θ is temperature, v0It is an attempt to frequency； τα、WithRespectively indicate resolving shear stress on slip system α, the cutting force of blade type mobile dislocation and spiral shell type mobile dislocation Cutting force；Wherein,ταWithExpression see hardening rule part；
The foundation of rule is hardened in (4-3) constitutive model
τα=σα:P(α)
In formula, c3-c7For material constant；μ is the shearing rigidity of material；It is the parallel dislocation inside material deformation process Density；fp,sIt is the accounting of blade type feature dislocation in parallel dislocation density；ρα、WithRespectively indicate material deformation process In total dislocation density, edge dislocation density and screw dislocation density；fe αIt is the accounting of edge dislocation density in total dislocation density,WithIt is fe αInitial value and asymptotic value, θfIt is characterization fe αThe coefficient of variation；d1It is Ni3The ruler of Al based alloy reinforcing item It is very little；klockAnd kunlockIt is the unlock coefficient and lock coefficient, H that KW locks in material deformation processlAnd HuIt is corresponding respectively The enthalpy of thermodynamic process, L0It is the activation length that locking procedure occurs for dislocation, LsTwo sections mistake raw unlocking process it is critical away from From.
The utility model has the advantages that the present invention directly considers in material deformation process edge dislocation and screw dislocation in each slip system Evolution forms, and directly given from microcosmic level the latent hardening equation of different dislocations between different slip systems, very Ni has been reacted in fact3The movement and evolution of internal dislocation in Al based alloy deformation process.Physics Constitutive Models in Predicting effect of the invention Fruit is preferable, can accurately predict Ni3Simple tension mechanical property under Al based alloy middle warm area different temperatures is material into one The intensity of step and fatigue study provide accurate elastic material parameter, are of great significance to the further engineering design of material.
Detailed description of the invention
Fig. 1 is implementation flow chart of the present invention；
Fig. 2 is Ni3Test result and prediction of the Al based alloy IC10 in 300K and 973K lower edge [001] direction simple tension Result figure.
Specific embodiment
Further explanation is done to the present invention with reference to the accompanying drawing.
As shown in Figure 1, a kind of Ni3Al based alloy considers the physics constitutive model method for building up of Dislocation Evolution, including as follows Step:
1), to Ni3Al based alloy IC10 carries out monotonic tension test along grain growth direction at 300K and 973K, from It draws materials on IC10 single crystal alloy masterbatch, is processed into the standard tensile specimen of φ 5mm in two above temperature along grain growth direction Lower progress static(al) monotonic tension test, obtains its monotonic tension mechanical property at both temperatures respectively, is bent according to initial It takes intensity and determines material parameter c3And c4；
2), carry out strain rate skip test at 300K and 973K to IC10 alloy, taken from IC10 single crystal alloy masterbatch Material, the standard tensile specimen for being processed into φ 5mm along grain growth direction are tested, and obtain its heat shock living body according to test result Product, determines the material parameter c in model1And c2.Experimental condition is shown in Table 1.
Table 1
Experimental condition IC10 monocrystalline tension test IC10 monocrystalline strain rate skip test
Specimen size φ5mm φ5mm
Strain rate 10-4/s 10-4/s+10-3/s
Loading direction [001] [001]
Temperature 300K, 973K 300K, 973K
Range of strain It stretches until sample fracture It stretches until sample fracture
Testing equipment SDS-50 electro-hydraulic servo static and dynamic test machine SDS-50 electro-hydraulic servo static and dynamic test machine
3) the microstructure observation chart of IC10 alloy, fortune, are obtained with scanning electron microscope and transmission electron microscope The dislocation density under crystals are differently strained in deformation process under 973K is measured with graphical measurement tool, determines the ginseng in model Number θf、WithThese three parameters have codetermined the dislocation density development law in IC10 deformation process；
4) it, is based on crystal dislocation motion theory, considers Dislocation Evolution as a result, establishing it in conjunction with the microcosmic observation of IC10 alloy Physics constitutive model, include the following steps:
4-1), theoretical according to crystal plastotype, stress rate can be indicated by following formula:
In formula,It is the Jaumann derivative of the cauchy stress tensor based on initial configuration, D is deformation-rate tensor, N For the total number for opening slip system in deformation process, default only has octahedra slip system to open herein, and N=12, EMT indicate wink When elasticity modulus, PαAnd BαIt is defined respectively as:
Bα=Wασ+σWα
In formula, σ is cauchy stress tensor, m*αAnd n*αRespectively indicate the glide direction and sliding of translation gliding system after deforming Normal direction；
4-2), in constitutive model flow rule foundation:
Shear-deformable rate on any slip systemIt can be expressed from the next:
In formula, b is Burgers vector, ρmeAnd ρmsRespectively indicate crystals edge dislocation density and spiral shell in deformation process Type dislocation density；WithThe movement velocity of edge dislocation and screw dislocation is respectively indicated, α indicates current sliding system；λαIt is The jump width of dislocation, the quality of stand dislocation density with crystalsCorrelation,c1For material constant；QslipIt is heat shock Energy living, VαIt is activation volume, Vα=c2b2λα, c2It is material constant；KBIt is Boltzmann constant, θ is temperature, v0It is an attempt to frequency； τα、WithRespectively indicate resolving shear stress on slip system α, the cutting force of blade type mobile dislocation and spiral shell type mobile dislocation Cutting force.Wherein,ταWithExpression see hardening rule part；
4-3), the foundation of rule is hardened in constitutive model
τα=σα:P(α)
In formula, c3-c7For material constant；μ is the shearing rigidity of material；It is the parallel dislocation inside material deformation process Density；fp,sIt is the accounting of blade type feature dislocation in parallel dislocation density；ρα、WithRespectively indicate material deformation process In total dislocation density, edge dislocation density and screw dislocation density；fe αIt is the accounting of edge dislocation density in total dislocation density,WithIt is fe αInitial value and asymptotic value, θfIt is characterization fe αThe coefficient of variation；d1It is Ni3The ruler of Al based alloy reinforcing item It is very little；klockAnd kunlockIt is the unlock coefficient and lock coefficient, H that KW locks in material deformation processlAnd HuIt is corresponding respectively The enthalpy of thermodynamic process, L0It is the activation length that locking procedure occurs for dislocation, LsTwo sections mistake raw unlocking process it is critical away from From.
In the present embodiment, each parameter is as shown in table 2 and table 3 in model:
The model parameter of 2 model of table at 973k
The model parameter of 3 model of table at 300k
Parameter value Parameter value Parameter value
C11 262.357GPa υ 0.33 d1 1.4×10-7m
C12 153.528GPa KB 1.38×10-23J/K klock 0
C44 112.126GPa θ 973K kunlock 0
θf -13.47 μ 66.47GPa L0 0.4×10-9m
feo 0 b 2.5×10-10m Ls 0.5×10-9m
fes 0.5 Qslip 303J/mol Hl 30×103J/mol
c1 1.8 v0 1×1010/s Hu 28×103J/mol
c2 0.025 c5 9.95×109/m
c3 1 c6 1.09×104/m
c4 2.7 c7 5.4×10-3
Note: the C in table 2 and table 311、C12And C44It is the elastic constant of material, the Poisson's ratio of υ material.
The present invention is in Ni3The differentiation and fortune of different dislocation forms are considered on the Research foundation of Al based alloy micro deformation mechanism Dislocation influences each other between dynamic and different slip systems, establish physics constitutive model, actual response Ni3Al based alloy is micro- Deformational behavior is seen, so the physics Constitutive Models in Predicting effect of exploitation is preferable.Consider that the physics constitutive model of dislocation motion is established Afterwards, it by taking IC10 as an example, with simple tension mechanical property of the modeling of the invention IC10 at 300K and 973K, will predict Value is compared with test result, sees Fig. 2, it is found that prediction result and test result are coincide well, demonstrated the reliability of model.
The above is only a preferred embodiment of the present invention, it is noted that for the ordinary skill people of the art For member, various improvements and modifications may be made without departing from the principle of the present invention, these improvements and modifications are also answered It is considered as protection scope of the present invention.

Claims (1)

1. a kind of Ni3The physics constitutive model method for building up of Al based alloy consideration Dislocation Evolution, which is characterized in that including walking as follows It is rapid:
Step 1: to Ni3Al based alloy IC10 carries out monotonic tension test along grain growth direction at 300K and 973K, respectively Its monotonic tension mechanical property at two temperature of 300K and 973K is obtained, material parameter c is determined according to initial yield intensity3 And c4；
Step 2: carrying out strain rate skip test at 300K and 973K to IC10 alloy, its hot activation volume is obtained, determines mould Material parameter c in type1And c2；
Step 3: obtaining the microstructure observation chart of IC10 alloy, fortune with scanning electron microscope and transmission electron microscope The dislocation density under crystals are differently strained in deformation process under 973K is measured with graphical measurement tool, determines the ginseng in model Number θf、WithThese three parameters have codetermined the dislocation density development law in IC10 deformation process；
Step 4: being based on crystal dislocation motion theory, Dislocation Evolution is considered as a result, establishing it in conjunction with the microcosmic observation of IC10 alloy Physics constitutive model, include the following steps:
(4-1) is theoretical according to crystal plastotype, and stress rate is indicated by following formula:
In formula,It is the Jaumann derivative of the cauchy stress tensor based on initial configuration, D is deformation-rate tensor, and N is deformation The total number of slip system is opened in the process, and default only has octahedra slip system to open herein, and N=12, EMT indicate instantaneous elasticity mould Amount, PαAnd BαIt is defined respectively as:
Bα=Wασ+σWα
In formula, σ is cauchy stress tensor,WithRespectively indicate the glide direction of translation gliding system and sliding normal direction after deforming；
The foundation of flow rule in (4-2) constitutive model:
Shear-deformable rate on any slip systemIt is expressed from the next:
In formula, b is Burgers vector, ρmeAnd ρmsRespectively indicate crystals edge dislocation density and spiral shell type position in deformation process Dislocation density；WithThe movement velocity of edge dislocation and screw dislocation is respectively indicated, α indicates current sliding system；λαIt is dislocation Jump width, the quality of stand dislocation density with crystalsCorrelation,c1For material constant；QslipIt is hot activation Can, VαIt is activation volume, Vα=c2b2λα, c2It is material constant；KBIt is Boltzmann constant, θ is temperature, v0It is an attempt to frequency； τα、WithRespectively indicate resolving shear stress on slip system α, the cutting force of blade type mobile dislocation and spiral shell type mobile dislocation Cutting force；Wherein,ταWithExpression see hardening rule part；
The foundation of rule is hardened in (4-3) constitutive model
τα=σα:P(α)
In formula, c3-c7For material constant；μ is the shearing rigidity of material；It is the parallel dislocation density inside material deformation process； fp,sIt is the accounting of blade type feature dislocation in parallel dislocation density；ρα、WithIt respectively indicates in material deformation process total Dislocation density, edge dislocation density and screw dislocation density；fe αIt is the accounting of edge dislocation density in total dislocation density,WithIt is fe αInitial value and asymptotic value, θfIt is characterization fe αThe coefficient of variation；d1It is Ni3The size of Al based alloy reinforcing item；klock And kunlockIt is the unlock coefficient and lock coefficient, H that KW locks in material deformation processlAnd HuIt is the corresponding thermodynamics mistake of difference The enthalpy of journey, L0It is the activation length that locking procedure occurs for dislocation, LsTwo sections mistake the critical distance of raw unlocking process.
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金属材料本构模型的研究进展;彭鸿博 等;《机械工程材料》;20120331;第36卷(第3期);第5-9页

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