CN106769465A - A kind of Ni3Al based alloys consider the method for building up of the physics constitutive model of Dislocation Evolution - Google Patents

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

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CN106769465A
CN106769465A CN201611195224.8A CN201611195224A CN106769465A CN 106769465 A CN106769465 A CN 106769465A CN 201611195224 A CN201611195224 A CN 201611195224A CN 106769465 A CN106769465 A CN 106769465A
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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 alloys consider the method for building up of the physics constitutive model of Dislocation Evolution, comprise the following steps：1)Ni3Al based alloys IC10 is tested under 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 alloys 300K and 973K：3) SEM and transmission electron microscopy observation of IC10 alloys：4) foundation of physics constitutive model and the acquisition of model parameter：Model is set up according to dislocation motion theory；Mechanical property test and microscopic test based on IC10 alloys, determine model parameter：5) model checking：After model is set up, checking is simulated to the tensile property under IC10 alloys 300K and 973K.Beneficial effects of the present invention：The present invention can exactly predict the simple tension mechanical property under IC10 alloy different temperatures, be that the further intensity of material and fatigue study provide accurate material parameter, and the engineering design to material is significant.

Description

A kind of Ni3Al based alloys consider the method for building up of the physics constitutive model of Dislocation Evolution
Technical field
The present invention relates to aeronautical material field, and in particular to Ni3Al based alloys consider the physics constitutive model of Dislocation Evolution Method for building up.
Background technology
Ni3Al based alloys are widely used in the thermal structure in aero-engine due to its outstanding mechanical behavior under high temperature Part.Compared with traditional material, Ni3Al based high-temperature alloys have that fusing point is high, elevated temperature strength is high, density is low, specific stiffness is high and anti- The characteristic such as oxidation susceptibility is good.Great mass of data is studied and shown, Ni3Al based alloys have many unusual macro-mechanical characters：Strain Rate sensitivity characteristic, yield stress and strain hardening rate increase with the rising of temperature in certain temperature range, are unsatisfactory for Schmid rules 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, study mechanism achievement is summarized as follows：(1) deformation process In, edge dislocation and screw dislocation can all be produced in influence (2) deformation process on the Plastic Flow of material, only 12 octahedrons Slip system is activated, and dislocation between different slip system can influence each other (3) Ni3In Al based alloy deformation processes, exist Special dislocation structure:KW locks and geometry dislocation (GNDs), while also there is special dislocation motion form：The climbing of dislocation and Commutative Banach aglebra.
At present, in order to predict Ni3The mechanical property of Al based alloys, different scholar proposes many models, but It is that most of is all macromodel in these models.In a small number of micromodels, also no scholar goes specifically to consider difference 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 cannot directly reflect the micro deformation mechanism of material.
The content of the invention
Goal of the invention：For above-mentioned prior art, a kind of Ni is proposed3Al based alloys consider physics this structure mould of Dislocation Evolution Type method for building up, being capable of Accurate Prediction Ni3Simple tension mechanical property of the Al based alloys in middle warm area.
Technical scheme：A kind of Ni3Al based alloys consider the physics constitutive model method for building up of Dislocation Evolution, including following step Suddenly：
Step one, to Ni3Al based alloys IC10 carries out monotonic tension and tests under 300K and 973K along grain growth direction, 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, strain rate skip test is carried out under 300K and 973K to IC10 alloys, obtain its hot activation volume, really Material parameter c in cover half type1And c2；
Step 3, the microstructure for obtaining IC10 alloys with SEM and transmission electron microscope are observed Figure, the dislocation density under crystals are differently strained in deformation process under 973K is measured with graphical measurement instrument, determines model In parameter θf、WithThese three parameters have together decided on the dislocation density development law in IC10 deformation processes；
Step 4, based on crystal dislocation motion theory, with reference to the microcosmic observation result of IC10 alloys, set up its consider dislocation The physics constitutive model of evolution, comprises the following steps：
(4-1) is theoretical according to crystal plastotype, and stress rate is represented by equation below：
In formula,It is the Jaumann derivatives of the cauchy stress tensor based on initial configuration, D is deformation-rate tensor, and N is The total number of slip system is opened in deformation process, acquiescence only has octahedra slip system to open herein, and N=12, EMT represents instantaneous bullet Property modulus, PαAnd BαIt is defined respectively as：
Bα=Wασ+σWα
In formula, σ is cauchy stress tensor, m*αAnd n*αThe glide direction of translation gliding system and sliding after deforming are represented respectively Normal direction；
The foundation of flow rule in (4-2) constitutive model：
Detrusion rate on any slip systemIt is expressed from the next：
In formula, b is Burgers vectors, ρmeAnd ρmsCrystals edge dislocation density and spiral shell in deformation process are represented respectively Type dislocation density；WithThe movement velocity of edge dislocation and screw dislocation is represented respectively, and α represents current sliding system；λαIt is The jump width of dislocation, the quality of stand dislocation density with crystalsCorrelation,c1It is 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、WithResolving shear stress on slip system α, the cutting force of blade type mobile dislocation and spiral shell type mobile dislocation are represented respectively 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-c7It is 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、WithMaterial deformation process is represented respectively 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 to characterize fe αThe coefficient of change；d1It is Ni3Al based alloys strengthen the size of item； klockAnd kunlockIt is the unblock coefficient and locking coefficient of KW locks in material deformation process, HlAnd HuIt is the corresponding heating power of difference The enthalpy of process, L0It is the activation length of dislocation generation locking procedure, LsTwo sections mistake the critical distance of raw releasing process.
Beneficial effect：The present invention directly considers in material deformation process edge dislocation and screw dislocation in each slip system Evolution forms, and the latent hardening equation of different dislocations between different slip systems has been directly given from microcosmic level, very Ni is reacted in fact3The motion of internal dislocation and evolution in Al based alloy deformation processes.Physics Constitutive Models in Predicting effect of the invention Fruit preferably, can exactly predict Ni3Simple tension mechanical property in Al based alloys under warm area different temperatures, is that material enters one The intensity of step and fatigue study provide accurate elastomeric material parameter, significant to the further engineering design of material.
Brief description of the drawings
Fig. 1 realizes flow chart for the present invention；
Fig. 2 is Ni3Result of the tests and prediction of the Al based alloys IC10 in 300K and 973K lower edges [001] direction simple tension Result figure.
Specific embodiment
The present invention is done below in conjunction with the accompanying drawings further is explained.
As shown in figure 1, a kind of Ni3Al based alloys consider the physics constitutive model method for building up of Dislocation Evolution, including as follows Step：
1), to Ni3Al based alloys IC10 carries out monotonic tension and tests under 300K and 973K along grain growth direction, from Drawn materials on IC10 single crystal alloy masterbatch, the standard tensile specimen of φ 5mm is processed into two above temperature along grain growth direction Under carry out static(al) monotonic tension experiment, its monotonic tension mechanical property at both temperatures is obtained respectively, bent according to initial Take intensity and determine material parameter c3And c4；
2) strain rate skip test, is carried out under 300K and 973K to IC10 alloys, is taken from IC10 single crystal alloy masterbatch Material, the standard tensile specimen for being processed into φ 5mm along grain growth direction is tested, and its heat shock live body is obtained according to result of the test Product, determines the material parameter c in model1And c2.Experimental condition is shown in Table 1.
Table 1
Experimental condition IC10 monocrystalline tension tests IC10 monocrystalline strain rate skip tests
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 Stretching is until sample fracture Stretching is until sample fracture
Testing equipment SDS-50 electro-hydraulic servo static and dynamic test machines SDS-50 electro-hydraulic servo static and dynamic test machines
3) microstructure for, obtaining IC10 alloys with SEM and transmission electron microscope observes figure, fortune The dislocation density under crystals are differently strained in deformation process under 973K is measured with graphical measurement instrument, the ginseng in model is determined Number θf、WithThese three parameters have together decided on the dislocation density development law in IC10 deformation processes；
4), based on crystal dislocation motion theory, with reference to the microcosmic observation result of IC10 alloys, set up it and consider Dislocation Evolution Physics constitutive model, comprise the following steps：
4-1), theoretical according to crystal plastotype, stress rate can be represented by equation below：
In formula,It is the Jaumann derivatives of the cauchy stress tensor based on initial configuration, D is deformation-rate tensor, and N is The total number of slip system is opened in deformation process, acquiescence only has octahedra slip system to open herein, and N=12, EMT represents instantaneous bullet Property modulus, PαAnd BαIt is defined respectively as：
Bα=Wασ+σWα
In formula, σ is cauchy stress tensor, m*αAnd n*αThe glide direction of translation gliding system and sliding after deforming are represented respectively Normal direction；
4-2), in constitutive model flow rule foundation：
Detrusion rate on any slip systemCan be expressed from the next：
In formula, b is Burgers vectors, ρmeAnd ρmsCrystals edge dislocation density and spiral shell in deformation process are represented respectively Type dislocation density；WithThe movement velocity of edge dislocation and screw dislocation is represented respectively, and α represents current sliding system；λαIt is The jump width of dislocation, the quality of stand dislocation density with crystalsCorrelation,c1It is 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、WithResolving shear stress on slip system α, the cutting force of blade type mobile dislocation and spiral shell type mobile dislocation are represented respectively 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-c7It is 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、WithMaterial deformation process is represented respectively 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 to characterize fe αThe coefficient of change；d1It is Ni3Al based alloys strengthen the size of item； klockAnd kunlockIt is the unblock coefficient and locking coefficient of KW locks in material deformation process, HlAnd HuIt is the corresponding heating power of difference The enthalpy of process, L0It is the activation length of dislocation generation locking procedure, LsTwo sections mistake the critical distance of raw releasing process.
In the present embodiment, each parameter is as shown in table 2 and table 3 in model：
The model of table 2 model parameter at 973k
The model of table 3 model parameter 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：C in table 2 and table 311、C12And C44It is the elastic constant of material, the Poisson's ratio of υ materials.
The present invention is in Ni3Differentiation and the fortune of different dislocation forms are considered on the Research foundation of Al based alloy micro deformation mechanisms Dislocation influences each other between dynamic and different slip systems, establish physics constitutive model, actual response Ni3Al based alloys are 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 set up Afterwards, by taking IC10 as an example, simple tension mechanical properties of the IC10 under 300K and 973K with modeling of the invention will be predicted Value is contrasted with result of the test, sees Fig. 2, and discovery predicts the outcome and coincide well with result of the test, demonstrates the reliability of model.
The above is only the preferred embodiment of the present invention, it is noted that for the ordinary skill people of the art For member, under the premise without departing from the principles of the invention, some improvements and modifications can also be made, these improvements and modifications also should It is considered as protection scope of the present invention.

Claims (1)

1. a kind of Ni3Al based alloys consider the physics constitutive model method for building up of Dislocation Evolution, it is characterised in that including following step Suddenly：
Step one, to Ni3Al based alloys IC10 carries out monotonic tension and tests under 300K and 973K along grain growth direction, 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, strain rate skip test is carried out under 300K and 973K to IC10 alloys, obtain its hot activation volume, determine mould Material parameter c in type1And c2；
Step 3, the microstructure for obtaining IC10 alloys with SEM and transmission electron microscope observe figure, fortune The dislocation density under crystals are differently strained in deformation process under 973K is measured with graphical measurement instrument, the ginseng in model is determined Number θf、WithThese three parameters have together decided on the dislocation density development law in IC10 deformation processes；
Step 4, based on crystal dislocation motion theory, with reference to the microcosmic observation result of IC10 alloys, set up its consider Dislocation Evolution Physics constitutive model, comprise the following steps：
(4-1) is theoretical according to crystal plastotype, and stress rate is represented by equation below：
In formula,It is the Jaumann derivatives of the cauchy stress tensor based on initial configuration, D is deformation-rate tensor, and N is deformation During open the total number of slip system, acquiescence only has octahedra slip system to open herein, and N=12, EMT represents instantaneous elasticity mould Amount, PαAnd BαIt is defined respectively as：
Bα=Wασ+σWα
In formula, σ is cauchy stress tensor,WithThe glide direction of translation gliding system and sliding normal direction after deforming are represented respectively；
The foundation of flow rule in (4-2) constitutive model：
Detrusion rate on any slip systemIt is expressed from the next：
In formula, b is Burgers vectors, ρmeAnd ρmsCrystals edge dislocation density and spiral shell type position in deformation process are represented respectively Dislocation density；WithThe movement velocity of edge dislocation and screw dislocation is represented respectively, and α represents current sliding system；λαIt is dislocation Jump width, the quality of stand dislocation density with crystalsCorrelation,c1It is 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、WithResolving shear stress on slip system α, the cutting force of blade type mobile dislocation and spiral shell type mobile dislocation are represented respectively 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-c7It is 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 is total in expression material deformation process respectively 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 to characterize fe αThe coefficient of change；d1It is Ni3Al based alloys strengthen the size of item；klock And kunlockIt is the unblock coefficient and locking coefficient of KW locks in material deformation process, HlAnd HuIt is the corresponding thermodynamics mistake of difference The enthalpy of journey, L0It is the activation length of dislocation generation locking procedure, LsTwo sections mistake the critical distance of raw releasing process.
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