CN106407544B - A kind of method for building up of IC10 unidirectional solidification material Stiffness prediction models - Google Patents
A kind of method for building up of IC10 unidirectional solidification material Stiffness prediction models Download PDFInfo
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- CN106407544B CN106407544B CN201610814449.0A CN201610814449A CN106407544B CN 106407544 B CN106407544 B CN 106407544B CN 201610814449 A CN201610814449 A CN 201610814449A CN 106407544 B CN106407544 B CN 106407544B
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- 239000000463 material Substances 0.000 title claims abstract description 26
- 238000000034 method Methods 0.000 title claims abstract description 24
- 238000007711 solidification Methods 0.000 title claims abstract description 15
- 230000008023 solidification Effects 0.000 title claims abstract description 15
- 239000013078 crystal Substances 0.000 claims abstract description 44
- 229910045601 alloy Inorganic materials 0.000 claims abstract description 42
- 239000000956 alloy Substances 0.000 claims abstract description 42
- 239000013013 elastic material Substances 0.000 claims abstract description 8
- 238000012360 testing method Methods 0.000 claims description 18
- 230000005540 biological transmission Effects 0.000 claims description 5
- 238000012935 Averaging Methods 0.000 claims description 3
- PCHJSUWPFVWCPO-UHFFFAOYSA-N gold Chemical compound [Au] PCHJSUWPFVWCPO-UHFFFAOYSA-N 0.000 claims 1
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- 238000004627 transmission electron microscopy Methods 0.000 abstract 1
- 230000000694 effects Effects 0.000 description 5
- 229910000601 superalloy Inorganic materials 0.000 description 5
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- 239000004594 Masterbatch (MB) Substances 0.000 description 1
- 238000005266 casting Methods 0.000 description 1
- 238000002474 experimental method Methods 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- 238000013507 mapping Methods 0.000 description 1
- 239000002184 metal Substances 0.000 description 1
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Abstract
The invention discloses the method for building up that a kind of IC10 unidirectional solidification material considers the rigidity model that crystal boundary and loading direction influence, comprising steps of 1) monotonic tension of the IC10 monocrystalline at room temperature along [001], [010] and [011] direction is tested；2) IC10 directional solidificating alloy is tested along the monotonic tension of different loading directions at room temperature；3) scanning electron microscope and transmission electron microscopy observation of IC10 directional solidificating alloy；4) based single crystal performance, establishes the Stiffness prediction models of IC10 directional solidificating alloy, and model parameter is calculated by software；5) after the completion of model foundation, the Young's modulus to IC10 directional solidificating alloy along different loading directions is verified.The present invention can accurately predict the Young's modulus that IC10 unidirectional solidification material is loaded along different directions, provide accurate elastic material parameter for the further intensity of material and fatigue study, be of great significance to the engineering design of material.
Description
Technical field
The present invention relates to aeronautical material fields, and in particular to turbine disk directionally solidified superalloy, DS superalloy material stiffness model
Method for building up.
Background technique
Directionally solidified superalloy, DS superalloy is developed to meet the turbine entrance temperature temperature of aero-engine continuous improvement
One of the novel high-temperature alloy come.So-called directional solidification, when being exactly that high temperature alloy melt solidifies in casting mold, by controlling crystal grain
The direction of growth, generate the column crystal that is almost parallel to each other.The grain growth direction of directional solidificating alloy and the maximum of material are main
Axis direction is parallel, and mechanical property is generally better than the polycrystalline material with general crystal boundary.Currently, directional solidificating alloy elastic constant
Acquisition be to be replaced based on test or with the elastic constant approximation of monocrystalline, first method needs a large number of experiments, higher cost,
Second method precision of prediction is not high, is in most cases unable to satisfy requirement of engineering precision.
Currently, the prediction simplest method of polycrystalline elastic constant is exactly Voigt the and Reuss method of average, Voigt is based on often answering
Become it is assumed that giving the upper limit that polycrystal effective modulus really solves, Reuss is based on iso-stress hypothesis and gives the effective mould of polycrystal
The lower limit really solved is measured, though this method predicts that the elastic constant effect of general polycrystal is good, since it does not consider that orientation is solidifying
Gu the influence of alloy crystal boundary is less suitable for direct use in prediction directional solidificating alloy.There is researcher to be established with self-consistency theory
The prediction technique of directional solidificating alloy elastic constant, but it realizes that process is complex, need to iterate, and engineering application has one
It settles finally sex-limited.
Summary of the invention
Goal of the invention: being directed to the above-mentioned prior art, propose a kind of rigidity model method for building up of IC10 unidirectional solidification material,
It being capable of Young's modulus under Accurate Prediction directional solidificating alloy difference loading direction.
Technical solution: a kind of rigidity model method for building up of IC10 unidirectional solidification material includes the following steps:
1) monotonic tension test, is carried out along [001], [010] and [011] direction to IC10 single crystal alloy, obtains it respectively
Monocrystalline elastic material constant D in three directions11、D12、D44；
2) monotonic tension test, is carried out along [001] and [010] direction to IC10 directional solidificating alloy, obtains it along [001]
[010] elasticity modulus in direction determines crystal boundary affecting parameters f (T) in rigidity model in conjunction with matlab nonlinear fitting module
And n；Wherein, f (T) indicates that crystal boundary is model relevant to a temperature system to the limited degree perpendicular to crystal boundary Direction distortion
Number, n are the coefficient for indicating GB affected zone size；
3) it, is seen with the microstructure that scanning electron microscope and transmission electron microscope obtain IC10 directional solidificating alloy
Mapping obtains the diameter D and grain boundary width d of each crystal grain in IC10 directional solidificating alloy；
4) elastic property, based on IC10 single crystal alloy considers the influence of loading direction and crystal boundary, and it is solidifying to establish IC10 orientation
Gu the rigidity model of alloy, includes the following steps:
4-1), the rigidity model of intra-die is established:
In formula, E1It is the Young's modulus of single intra-die, D11、D12、D44It is normal that monocrystalline elastic material is obtained for step 1)
Number, α1、β1、γ1It is coefficient of angularity relevant to loading direction, is defined as follows:
α1=-sin (ψ)
β1=-cos (ψ) sin (θ)
γ1=cos (ψ) cos (θ)
In formula, ψ and θ are Eulerian angles；
4-2), according to the Young's modulus of single intra-die and crystal boundary affecting parameters, the rigidity in GB affected zone is established
Model:
In formula, E2It is the Young's modulus in GB affected zone；
4-3), it is assumed that the width d' of GB affected zone is
D'=nd
In formula, n is the coefficient for indicating GB affected zone size, and d is grain boundary width；
According to Voigt and Reuss averaging method, in conjunction with intra-die rigidity model and GB affected zone in rigidity mould
Type obtains
In formula, EvoigtAnd EReussRespectively indicate the bound of directional solidificating alloy Young's modulus, fv1Indicate single crystal grain
Volume fraction, fv2Indicate the volume fraction of GB affected zone；fv1And fv2It is the function of crystal grain diameter D and grain boundary width d:
fv2=1-fv1
The then Young's modulus E of directional solidificating alloy are as follows:
The utility model has the advantages that showing that crystal boundary has a certain impact to the performance tool of material by experimental study, in monocrystal material not
Containing crystal boundary, and contain crystal boundary in unidirectional solidification material, therefore, in the Stiffness prediction models for establishing unidirectional solidification material with regard to necessary
Consider the influence of crystal boundary.The performance of monocrystal material and unidirectional solidification material is anisotropy, and experimental study shows different loads
The rigidity of monocrystalline is different under direction, and the rigidity of monocrystal material and unidirectional solidification material is also different, so to establish IC10
Rigidity model of the directional solidificating alloy along different loading directions, it is necessary to fully consider the influence of loading direction and crystal boundary to rigidity.
The method of the present invention quantitatively considers crystal boundary in deformation process on the basis of original monocrystalline rigidity model and particle near its is become
The restriction effect of shape, the actual response flexible deformation behavior of directional solidificating alloy, rigidity model prediction effect of the invention compared with
It is good, it can accurately predict the Young's modulus that IC10 unidirectional solidification material is loaded along different directions, be the further intensity of material
Accurate elastic material parameter is provided with fatigue study, is of great significance to the further engineering design of material.
Detailed description of the invention
Fig. 1 is the flow chart of the method for the present invention；
Fig. 2 is Young's modulus test result and prediction result figure of the IC10 directional solidificating alloy along different loading directions.
Specific embodiment
Further explanation is done to the present invention with reference to the accompanying drawing.
As shown in Figure 1, a kind of rigidity model method for building up of IC10 unidirectional solidification material, includes the following steps:
1) it, in order to obtain the elastic constant of IC10 single crystal alloy at room temperature, draws materials from IC10 single crystal alloy masterbatch, edge
[001], the standard tensile specimen that φ 5mm is processed into [010] and [011] three direction carries out the test of static(al) monotonic tension, respectively
It is obtained in the monocrystalline elastic material constant D in three directions11、D12、D44, experimental condition is shown in Table 1.
2) monotonic tension test, is carried out along [001] and [010] direction at room temperature to IC10 directional solidificating alloy, is obtained
It determines that crystal boundary influences in rigidity model in conjunction with matlab nonlinear fitting module along the elasticity modulus in [001] and [010] direction
Parameter f (T) and n；Wherein, f (T) indicates that crystal boundary is one related to temperature to the limited degree perpendicular to crystal boundary Direction distortion
Model coefficient, n is the coefficient for indicating GB affected zone size, and n characterizes the size of GB affected zone.And edge [025],
[011] and monotonic tension test is carried out in [052] direction, and the elasticity modulus that these directions obtain establishes model to the present invention
Model verifying.Experimental condition is shown in Table 1.
Table 1
| Experimental condition | IC10 monocrystalline tension test | IC10 directional solidificating alloy tension test |
| Specimen size | φ5mm | φ5mm |
| Strain rate | 10-3/s | 10-3/s |
| Loading direction | [001]、[010]、[011] | [001]、[025]、[011]、[052]、[010] |
| Temperature | Room temperature | Room temperature |
| 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) sheet metal of 1.5mm thickness, is cut out on the sample of not test (N.T.) IC10 directional solidificating alloy respectively, respectively according to sweeping
The production specification for retouching Electronic Speculum and transmission electron microscope sample processes scanning electron microscope and transmission electron microscope sample for observation, with sweeping
It retouches electron microscope and transmission electron microscope obtains the microstructure observation chart of IC10 directional solidificating alloy, obtain IC10 orientation
The diameter D and grain boundary width d of each crystal grain in solidified superalloy.
4) elastic property, based on IC10 single crystal alloy considers the influence of loading direction and crystal boundary, and it is solidifying to establish IC10 orientation
Gu the rigidity model of alloy, includes the following steps:
4-1), the rigidity model of intra-die is established:
In formula, E1It is the Young's modulus of single intra-die, D11、D12、D44It is normal that monocrystalline elastic material is obtained for step 1)
Number, α1、β1、γ1It is coefficient of angularity relevant to loading direction, is defined as follows:
α1=-sin (ψ)
β1=-cos (ψ) sin (θ)
γ1=cos (ψ) cos (θ)
In formula, ψ and θ are Eulerian angles.
4-2), according to the Young's modulus of single intra-die and crystal boundary affecting parameters, the rigidity in GB affected zone is established
Model:
In formula, E2It is the Young's modulus in GB affected zone；F (T) is obtained by step 2).
4-3), it is assumed that the width d' of GB affected zone is
D'=nd
In formula, n is the coefficient for indicating GB affected zone size, and d is grain boundary width；
According to Voigt and Reuss averaging method, in conjunction with intra-die rigidity model and GB affected zone in rigidity mould
Type obtains
In formula, EvoigtAnd EReussRespectively indicate the bound of directional solidificating alloy Young's modulus, fv1Indicate single crystal grain
Volume fraction, fv2Indicate the volume fraction of GB affected zone；fv1And fv2It is the function of crystal grain diameter D and grain boundary width d:
fv2=1-fv1
The then Young's modulus of directional solidificating alloyAre as follows:
In the present embodiment, each parameter is as shown in table 2 in model:
Table 2
| Model parameter | D11/GPa | D12/GPa | D44/GPa | D/mm | d/mm | f | n |
| Numerical value | 290.92 | 188.76 | 133.62 | 400 | 4.4 | 0.35 | 7 |
The present invention quantitatively considers in deformation process crystal boundary for matter near its on the basis of original monocrystalline rigidity model
The restriction effect of point deformation, the actual response flexible deformation behavior of directional solidificating alloy, so the new rigidity model of exploitation
Prediction effect is preferable.After the completion of the rigidity model to IC10 directional solidificating alloy is established, loaded with IC10 along different directions
The Young's model that monotonic tension test measures is verified, and the Young's modulus of prediction is compared with test result, sees Fig. 2,
It was found that prediction result and test result are coincide well, the reliability of model is demonstrated.
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 rigidity model method for building up of IC10 unidirectional solidification material, which comprises the steps of:
1) monotonic tension test, is carried out along [001], [010] and [011] direction to IC10 single crystal alloy, obtains it respectively at this
The monocrystalline elastic material constant D in three directions11、D12、D44；
2) monotonic tension test, is carried out along [001] and [010] direction to IC10 directional solidificating alloy, obtain its edge [001] and
[010] elasticity modulus in direction, in conjunction with matlab nonlinear fitting module determine in rigidity model crystal boundary affecting parameters f (T) and
n；Wherein, f (T) indicates that crystal boundary is a model coefficient relevant to temperature to the limited degree perpendicular to crystal boundary Direction distortion,
N is the coefficient for indicating GB affected zone size；
3) it, is observed with the microstructure that scanning electron microscope and transmission electron microscope obtain IC10 directional solidificating alloy
Figure, obtains the diameter D and grain boundary width d of each crystal grain in IC10 directional solidificating alloy；
4) elastic property, based on IC10 single crystal alloy considers the influence of loading direction and crystal boundary, establishes the conjunction of IC10 directional solidification
The rigidity model of gold, includes the following steps:
4-1), the rigidity model of intra-die is established:
In formula, E1It is the Young's modulus of single intra-die, D11、D12、D44Monocrystalline elastic material constant, α are obtained for step 1)1、
β1、γ1It is coefficient of angularity relevant to loading direction, is defined as follows:
α1=-sin (ψ)
β1=-cos (ψ) sin (θ)
γ1=cos (ψ) cos (θ)
In formula, ψ and θ are Eulerian angles；
4-2), according to the Young's modulus of single intra-die and crystal boundary affecting parameters, the rigidity model in GB affected zone is established:
In formula, E2It is the Young's modulus in GB affected zone；
4-3), it is assumed that the width d' of GB affected zone is
D'=nd
In formula, n is the coefficient for indicating GB affected zone size, and d is grain boundary width；
According to Voigt and Reuss averaging method, in conjunction with intra-die rigidity model and GB affected zone in rigidity model obtain
It arrives
In formula, EvoigtAnd EReussRespectively indicate the bound of directional solidificating alloy Young's modulus, fv1Indicate the volume of single crystal grain
Score, fv2Indicate the volume fraction of GB affected zone；fv1And fv2It is the function of crystal grain diameter D and grain boundary width d:
fv2=1-fv1
The then Young's modulus of directional solidificating alloyAre as follows:
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| CN103406666A (en) * | 2013-06-16 | 2013-11-27 | 北京工业大学 | IC10 alloy connecting and repairing method for controlling dendrite growth direction through laser |
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Non-Patent Citations (4)
| Title |
|---|
| IC10合金的力学性能试验及本构模型研究;张宏建;《中国博士学位论文全文数据库 工程科技Ⅱ辑》;20110615(第6期);第C028-1页 |
| Recrystallization behaviors of alloy IC10 at elevated temperature:experiments and modeling;Hongjian Zhang 等;《Journal of Materials Science》;20110909;第46卷(第4期);第1076-1082页 |
| Temperature dependence of faceting in Σ5(310)[001] grain boundary of SrTiO3;Sung Bo Lee 等;《Acta Materialia》;20030225;第51卷(第4期);第975-981页 |
| 双向应力状态下IC10高温合金的屈服行为研究;陈雷 等;《航空学报》;20120125;第33卷(第1期);第77-84页 |
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