CN108334716A - Monocrystalline air film pole high-cycle fatigue life method - Google Patents
Monocrystalline air film pole high-cycle fatigue life method Download PDFInfo
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Abstract
The disclosure provides a kind of nickel-based monocrystal air film pole multiaxis high-cycle fatigue life method, is related to porous media technical field.This method includes：Dangerous path is determined according to the hole arrangement mode of monocrystalline air film pole；Crystal plasticity theory model is established, the relevant parameter of the crystal plasticity theory model is input to finite element model；The stress distribution that the dangerous path is exported by the finite element model obtains the maximum principal stress amplitude on the dangerous path and maximum resolving shear stress amplitude；Critical distance model is established, the parameter of the critical distance model is determined according to the maximum principal stress amplitude and maximum resolving shear stress amplitude, the high-Cycle Fatigue Life Prediction of the monocrystalline air film pole is calculated by iterative program.Disclosed method considers the deformation mechanism of monocrystalline anisotropic material character and translation gliding, solves high cycle fatigue and damages nonlinear problem, and prediction result dispersibility is small, and precision is high.
Description
Technical field
This disclosure relates to porous media technical field more particularly to a kind of nickel-based monocrystal air film pole multiaxis high cycle fatigue
Life-span prediction method.
Background technology
Crystal Nickel-based Superalloy makes the comprehensive performance of blade be increased to a new level as turbo blade material.With
Other alloys are compared, and nickel-base high-temperature single crystal alloy eliminates crystal boundary, have been prevented the destruction of grain boundaries from the root cause, have been greatlyd improve
Mechanical property under material at high temperature.With the raising to engine intake temperature requirement, solid vane far can not
Meet temperature requirement, hollow cooling blade comes into being, and the application of gaseous film control makes the temperature capability of blade significantly be carried
Height, however the air film hole of dense arrangement destroys blade self structure and the integrality of material on blade, becomes blade fragment
Split the position that takes place frequently of failure of removal.Engine air film cooled blade is answered under Service Environment by centrifugal force and alternating load
Cooperation use, after the excited frequency of blade is close to its intrinsic frequency, covibration easily occurs, the load that blade is born at this time and
Frequency can increase considerably, and high cycle fatigue occurs therewith.Engineering practice shows the evidence of blade failure fracture caused by high cycle fatigue
In top priority.The introducing of air film hole makes the vibration characteristics of blade change, and high cycle fatigue load environment tends to be complicated.
For high cycle fatigue pulsating stress amplitude under the yield strength of material, damage and plastically deforming localization are serious, because
This, linear damage accumulation criterion is not suitable for high cycle fatigue.Single crystal alloy property with anisotropic in structure, it is microcosmic
On be deformation mechanism based on translation gliding, traditional elastic-plastic model can not be suitable for monocrystal material.Solid matter air film hole
Under multihole interference effect, in complicated multi-axis stress state, keep inefficacy mechanism region complicated.
Under high cycle fatigue load effect, the typically no apparent plastic deformation of component, most of failure member form is all
For the brittle fracture of burst, it is difficult to carry out lesion assessment and prevention.The cyclic load of high cycle fatigue is most of pneumatic by combustion gas
The vibration of power causes, and when resonating, stress can increase considerably, therefore has very fearful destructiveness.High cycle fatigue
An inevitable problem during being on active service as blade, seriously jeopardizes the safety and reliability of engine structure, if
The high-Cycle Fatigue Life Prediction that can accurately predict monocrystalline air film pole, will be with great theory significance and engineer application valence
Value.Therefore, it is necessary to propose a generally applicable high-cycle fatigue life method to solve the above problems.
It should be noted that information is only used for reinforcing the reason to the background of the disclosure disclosed in above-mentioned background technology part
Solution, therefore may include the information not constituted to the prior art known to persons of ordinary skill in the art.
Invention content
The disclosure is designed to provide a kind of nickel-based monocrystal air film pole multiaxis high-cycle fatigue life method, into
And one or more is overcome the problems, such as caused by the limitation and defect of the relevant technologies at least to a certain extent.
Other characteristics and advantages of the disclosure will be apparent from by the following detailed description, or partially by the disclosure
Practice and acquistion.
According to one aspect of the disclosure, a kind of nickel-based monocrystal air film pole multiaxis high-cycle fatigue life side is provided
Method, including：
Dangerous path is determined according to the hole arrangement mode of monocrystalline air film pole；
Crystal plasticity theory model is established, the relevant parameter of the crystal plasticity theory model is input to finite element mould
Type；
The stress distribution that the dangerous path is exported by the finite element model obtains the maximum on the dangerous path
Principal stress amplitude and maximum resolving shear stress amplitude；
Critical distance model is established, is determined according to the maximum principal stress amplitude and maximum resolving shear stress amplitude described critical
The high-Cycle Fatigue Life Prediction of the monocrystalline air film pole is calculated by iterative program for the parameter of distance model.
In a kind of exemplary embodiment of the disclosure, the determining dangerous path, including：
Determine the centre bore of the monocrystalline air film pole；
The danger path is from the centre bore hole edge, along another outwardly extending path of adjacent holes circle center line connecting.
In a kind of exemplary embodiment of the disclosure, anisotropy and cunning of the crystal plasticity theory model according to crystal
Deformation mechanism is moved to be modeled.
In a kind of exemplary embodiment of the disclosure, the relevant parameter of the crystal plasticity theory model includes that cutting is answered
Power, strain rate, with reference to one or more in shear stress, strain hardening rate.
In a kind of exemplary embodiment of the disclosure, the critical distance model is that foundation is built with Based on principles of crack mechanics
Mould.
It is described to establish critical distance model in a kind of exemplary embodiment of the disclosure, including：
Point normal equation is established, determines the functional relation between the corresponding critical distance of point normal equation and equivalent stress；
The critical distance is defined, the critical distance is to only rely upon material and the constant of stress ratio；
According to described normal equation, the functional relation of the critical distance and high-Cycle Fatigue Life Prediction is established.
In a kind of exemplary embodiment of the disclosure, described normal equation is：
σeff=σ1(r=DPM, θ=0) and=σref
Wherein, σ1For maximum principal stress, σrefFor referenced strength, DPMFor the corresponding critical distance of method.
In a kind of exemplary embodiment of the disclosure, the functional relation of the critical distance and high-Cycle Fatigue Life Prediction is：
L(Nf)=ANf b
Wherein,ΔKthFor critical stress intensity Grad, Δ σ0For the fatigue strength of component, feature
Relationship between distance and critical distance isA and b be two only and material properties and the relevant parameter of stress ratio,
NfFor high-Cycle Fatigue Life Prediction.
It is described that the monocrystalline air film pole is calculated by iterative program in a kind of exemplary embodiment of the disclosure
High-Cycle Fatigue Life Prediction, including：
Given one estimates high-Cycle Fatigue Life Prediction NF, i；
The maximum principal stress amplitude σ on the dangerous path is obtained by the finite element modeli,a；
By the maximum principal stress amplitude σi,aBring formula N intof,i+1=NA(σA/σi,a)kIt is iterated, if Nf,i+1Value with
Nf,iValue it is different, then by Nf,i+1Value assign N againf,iIt is iterated, iteration updates according to this, until convergence；
N at this timef,iValue is the high-Cycle Fatigue Life Prediction value of the monocrystalline air film pole.
In a kind of exemplary embodiment of the disclosure, the method further includes by monocrystalline air film hole structure described in experimental verification
The validity of the high-Cycle Fatigue Life Prediction of part.
The monocrystalline air film pole high-cycle fatigue life method that disclosure illustrative embodiments are provided, it is contemplated that
The deformation mechanism of monocrystalline anisotropic material character and translation gliding, it is proposed that a kind of elastoplasticity suitable for monocrystal material is answered
Stress-strain field computation model has considered the Multiaxial stress under solid matter film hole structure multihole interference in conjunction with critical distance method
State is established using maximum principal stress amplitude on dangerous path and maximum octahedra resolving shear stress amplitude gradient prediction monocrystalline gas
The high-cycle fatigue life method of fenestra component avoids high cycle fatigue and damages nonlinear problem, prediction result dispersibility
Small, precision is high.
It should be understood that above general description and following detailed description is only exemplary and explanatory, not
The disclosure can be limited.
Description of the drawings
The drawings herein are incorporated into the specification and forms part of this specification, and shows the implementation for meeting the disclosure
Example, and together with specification for explaining the principles of this disclosure.It should be evident that the accompanying drawings in the following description is only the disclosure
Some embodiments for those of ordinary skill in the art without creative efforts, can also basis
These attached drawings obtain other attached drawings.
Fig. 1 schematically shows monocrystalline air film pole high-cycle fatigue life method stream in disclosure exemplary embodiment
Cheng Tu；
Fig. 2 schematically shows the fracture pattern of monocrystalline air film pole in disclosure exemplary embodiment；
Fig. 3 schematically shows the dangerous path of monocrystalline air film pole in disclosure exemplary embodiment；
Fig. 4 schematically shows the finite element model of monocrystalline air film pole in disclosure exemplary embodiment；
Fig. 5 schematically shows distribution of the maximum principal stress on dangerous path in disclosure exemplary embodiment；
Fig. 6 schematically shows distribution of the maximum resolving shear stress on dangerous path in disclosure exemplary embodiment；
Fig. 7 schematically shows disclosure exemplary embodiment mid-point method principle schematic；
Fig. 8 schematically shows the iterative program flow chart of the calculating high-Cycle Fatigue Life Prediction in disclosure exemplary embodiment；
Fig. 9 schematically shows the life prediction result in disclosure exemplary embodiment.
Specific implementation mode
Example embodiment is described more fully with reference to the drawings.However, example embodiment can be with a variety of shapes
Formula is implemented, and is not understood as limited to example set forth herein；On the contrary, thesing embodiments are provided so that the disclosure will more
Fully and completely, and by the design of example embodiment comprehensively it is communicated to those skilled in the art.Described feature, knot
Structure or characteristic can be in any suitable manner incorporated in one or more embodiments.
In addition, attached drawing is only the schematic illustrations of the disclosure, it is not necessarily drawn to scale.Identical attached drawing mark in figure
Note indicates same or similar part, thus will omit repetition thereof.Some block diagrams shown in attached drawing are work(
Energy entity, not necessarily must be corresponding with physically or logically independent entity.Software form may be used to realize these work(
Energy entity, or these functional entitys are realized in one or more hardware modules or integrated circuit, or at heterogeneous networks and/or place
These functional entitys are realized in reason device device and/or microcontroller device.
This example embodiment provides a kind of monocrystalline air film pole high-cycle fatigue life method, as shown in Figure 1, should
Monocrystalline air film pole high-cycle fatigue life method may include：
S1, dangerous path is determined according to the hole arrangement mode of monocrystalline air film pole；
S2, crystal plasticity theory model is established, the relevant parameter of the crystal plasticity theory model is input to finite element
Model；
S3, the stress distribution that the dangerous path is exported by the finite element model, obtain on the dangerous path
Maximum principal stress amplitude and maximum resolving shear stress amplitude；
S4, critical distance model is established, according to the maximum principal stress amplitude and maximum resolving shear stress amplitude determination
The high-Cycle Fatigue Life Prediction of the monocrystalline air film pole is calculated by iterative program for the parameter of critical distance model.
The monocrystalline air film pole high-cycle fatigue life method that disclosure illustrative embodiments are provided, it is contemplated that
The deformation mechanism of monocrystalline anisotropic material character and translation gliding, it is proposed that a kind of elastoplasticity suitable for monocrystal material is answered
Stress-strain field computation model has considered the Multiaxial stress under solid matter film hole structure multihole interference in conjunction with critical distance method
State is established using maximum principal stress amplitude on dangerous path and maximum octahedra resolving shear stress amplitude gradient prediction monocrystalline gas
The high-cycle fatigue life method of fenestra component avoids high cycle fatigue and damages nonlinear problem, prediction result dispersibility
Small, precision is high.
The nickel-based monocrystal air film pole high-Cycle Fatigue Life Prediction provided below in conjunction with the accompanying drawings to this example embodiment is pre-
Survey method is described in detail.
In step sl, dangerous path can be determined according to the hole arrangement mode of monocrystalline air film pole.
In this example embodiment, the dangerous path of air film pole can be as shown in Figures 2 and 3, solid matter air film pole
Dangerous path from interstitial hole hole edge, extend outwardly along holes circle center line connecting.
In step s 2, crystal plasticity theory model can be established, the relevant parameter of the crystal plasticity theory model is defeated
Enter to finite element model.
In this example embodiment, establishes crystal plasticity theory model and may include steps of：
S21, resolving shear stress is defined
For the deformation mechanism of monocrystalline mainly based on sliding, resolving shear stress is the composition portion along the tractive force of glide direction
Point, it is related with cauchy stress by Schmidt tensors：
τ(α)=P(α):T (1)
S22, strain rate is defined
Strain rate is indicated using power function equation：
In formula,To refer to shear strain rate.M be strain rate Sensitivity Index, as m=0, then for strain rate without
It closes.
S23, definition refer to shear stress
g(α)To refer to shear stress, the current strain hardening state of crystal is characterized, herein g(α)It is sheared depending on sliding
The summation of rate γ '：
g(α)=g(α)(γ) (3)
γ strains for accumulation slippage：
S24, monocrystalline strain hardening rate is defined
Material strain hardening can use g(α)EVOLUTION EQUATION replace：
In formula, h α β are the function of γ, it determines the sliding shearing displacement in slip system β to hard caused by slip system α
Change, can be obtained by following formula：
hαβ=qαβhβ (6)
Wherein, qαβFor hardening coefficient of diving, hβIt is single hardening ratio：
Wherein, h0For hardening modulus, τsIt is model parameter with β.
Above-mentioned crystal plasticity theory model can be written in ABAQUS user's favorite subroutines and be built in this example embodiment
Mould calculates, and is calculated to simplify, 1/4 MODEL C 3D8 units can be used and simulated, and loading direction can be [001] direction, air film
Hole axial direction can be [010] direction, such as Fig. 4.
In step s3, the stress distribution that the dangerous path can be exported by the finite element model, obtains the danger
Maximum principal stress amplitude on dangerous path and maximum resolving shear stress amplitude.
Dangerous road is chosen in the dangerous path that can be determined according to S1 in this example embodiment in the finite element model of foundation
Point on diameter, the exportable maximum principal stress on dangerous path and maximum resolving shear stress are distributed, such as Fig. 5 and Fig. 6, to obtain
Maximum principal stress amplitude on dangerous path and maximum resolving shear stress amplitude.
In step s 4, critical distance model can be established, according to the maximum principal stress amplitude and maximum resolving shear stress width
Value determines the parameter of the critical distance model, and the high cycle fatigue of the monocrystalline air film pole is calculated by iterative program
Service life.It may include steps of：
S41, critical distance model is established
Critical distance method can be used to calculate the Fatigue Life Problems under multi-axis stress state.Its Based on principles of crack mechanics is fatigue
Crackle is originated from stress concentration maximum point, is broken, can be answered in another form when along a certain Path extension to certain distance
When power drops to a particular value along a certain path, sample is broken, this value is equivalent stress σeff.Critical distance
Model foundation may include steps of：
S411, point normal equation is established
In critical distance method, the equation of point method (PM) is as follows：
σeff=σ1(r=DPM, θ=0) and=σref (8)
Wherein, σ1For maximum principal stress, σrefFor referenced strength, DPMFor the corresponding critical distance value of method.
For intermediate and high cycle fatigue problems, the amount in equation can be defined by amplitude and gradient, in other words, when on dangerous road
On diameter, reach D at a distance from notch stress-concentration maximum pointPMWhen, sample reaches fatigue limit, as shown in fig. 7, being answered for linear elasticity
Point method schematic diagram under power distribution.
S412, critical distance is defined
Critical distance DPMIt is one and depends only on material and the constant of stress ratio, the characteristic distance L of definition material：
Wherein, Δ KthFor critical stress intensity Grad, Δ σ0It is the fatigue strength of component depending on stress ratio.Feature
There is following relationship between distance and critical distance：
S413, critical distance and fatigue life relationship are established
The fatigue life of structural member and critical distance are just like minor function relationship:
L(Nf)=ANf b (11)
A and b is two and material properties and the relevant parameters of stress ratio R in this example embodiment, in solution procedure
In, it can be calculated by the following method：When static state fails, critical distance is defined as：
Wherein, KICFor material plane fracture toughness, σrefMaterial referenced strength.
The parameter of S414, derivation formula (11)
When material is in the starting stage of cycle, i.e. Nf=NS, bring into formula (12), can obtain：
When material reaches fatigue limit, i.e. Nf=N0, bring into formula (12), can obtain：
Simultaneous formula (13) and formula (14), the numerical value that can acquire parameter A and b are respectively：
S42, the maximum principal stress amplitude on the dangerous path obtained by step S3 and maximum resolving shear stress amplitude determine
The parameter A and b of above-mentioned critical distance model.
In this example embodiment, show that the maximum master under the conditions of different tests answers according to the finite element model in step S2
Power amplitude and maximum resolving shear stress amplitude, the parameter under the conditions of different tests can be brought into formula (15), obtain under this condition
Two critical distance model parameters A and b.
S43, the high-Cycle Fatigue Life Prediction that the monocrystalline air film pole is calculated by iterative program.May include as follows
Step
S431, given one estimate high-Cycle Fatigue Life Prediction NF, i；
S432, the maximum principal stress amplitude σ on the dangerous path is obtained by the finite element modeli,a；
S433, by the maximum principal stress amplitude σi,aBring formula N intof,i+1=NA(σA/σi,a)kIt is iterated, if Nf,i+1
Value and Nf,iValue it is different, then by Nf,i+1Value assign N againf,iIt is iterated, iteration updates according to this, until convergence；
S434, N at this timef,iValue is the high-Cycle Fatigue Life Prediction value of the monocrystalline air film pole.
As shown in figure 8, for the iterative program flow chart in this example embodiment.Iterative program calculated single crystal gas can be passed through
The high-Cycle Fatigue Life Prediction value of fenestra component.
Method in this example embodiment can also include step S5：Pass through monocrystalline air film pole described in experimental verification
High-Cycle Fatigue Life Prediction validity.
In this example embodiment using the life prediction distribution of results of critical distance method within 1.6 times of error bands, such as
Fig. 9 illustrates the high-cycle fatigue life that this method can be used under 14 air film hole sample high temperature.
It should be noted that although being referred to several modules or list for acting the equipment executed in above-detailed
Member, but this division is not enforceable.In fact, according to embodiment of the present disclosure, it is above-described two or more
The feature and function of module either unit can embody in a module or unit.Conversely, an above-described mould
Either the feature and function of unit can be further divided into and embodied by multiple modules or unit block.
In addition, although describing each step of method in the disclosure with particular order in the accompanying drawings, this does not really want
These steps must be executed according to the particular order by asking or implying, or the step having to carry out shown in whole could be realized
Desired result.Additional or alternative, it is convenient to omit multiple steps are merged into a step and executed by certain steps, and/
Or a step is decomposed into execution of multiple steps etc..
Those skilled in the art after considering the specification and implementing the invention disclosed here, will readily occur to its of the disclosure
His embodiment.This application is intended to cover any variations, uses, or adaptations of the disclosure, these modifications, purposes or
Adaptive change follow the general principles of this disclosure and include the undocumented common knowledge in the art of the disclosure or
Conventional techniques.The description and examples are only to be considered as illustrative, and the true scope and spirit of the disclosure are by claim
It points out.
It should be understood that the present disclosure is not limited to the precise structures that have been described above and shown in the drawings, and
And various modifications and changes may be made without departing from the scope thereof.The scope of the present disclosure is only limited by the attached claims.
Claims (10)
1. a kind of monocrystalline air film pole high-cycle fatigue life method, which is characterized in that including：
Dangerous path is determined according to the hole arrangement mode of monocrystalline air film pole；
Crystal plasticity theory model is established, the relevant parameter of the crystal plasticity theory model is input to finite element model；
The stress distribution that the dangerous path is exported by the finite element model show that the maximum master on the dangerous path answers
Power amplitude and maximum resolving shear stress amplitude；
Critical distance model is established, the critical distance is determined according to the maximum principal stress amplitude and maximum resolving shear stress amplitude
The high-Cycle Fatigue Life Prediction of the monocrystalline air film pole is calculated by iterative program for the parameter of model.
2. prediction technique according to claim 1, which is characterized in that the determining dangerous path, including：
Determine the centre bore of the monocrystalline air film pole；
The danger path is from the centre bore hole edge, along another outwardly extending path of adjacent holes circle center line connecting.
3. prediction technique according to claim 2, which is characterized in that the crystal plasticity theory model is each according to crystal
Anisotropy and sliding deformation mechanism are modeled.
4. prediction technique according to claim 3, which is characterized in that the relevant parameter packet of the crystal plasticity theory model
Include resolving shear stress, strain rate, with reference to one or more in shear stress, strain hardening rate.
5. prediction technique according to claim 4, which is characterized in that the critical distance model is with Based on principles of crack mechanics
Foundation is modeled.
6. prediction technique according to claim 5, which is characterized in that it is described to establish critical distance model, including：
Point normal equation is established, determines the functional relation between the corresponding critical distance of point normal equation and equivalent stress；
The critical distance is defined, the critical distance is to only rely upon material and the constant of stress ratio；
According to described normal equation, the functional relation of the critical distance and high-Cycle Fatigue Life Prediction is established.
7. prediction technique according to claim 6, which is characterized in that described normal equation be：
σeff=σ1(r=DPM：θ=0)=σref
Wherein, σ1For maximum principal stress, σrefFor referenced strength, DPMFor the corresponding critical distance of method.
8. prediction technique according to claim 7, which is characterized in that the function of the critical distance and high-Cycle Fatigue Life Prediction
Relationship is：
L(Nf)=ANf b
Wherein,ΔKthFor critical stress intensity Grad, Δ σ0For the fatigue strength of component, characteristic distance
Relationship between critical distance isA and b is two and material properties and the relevant parameter of stress ratio, NfFor
High-Cycle Fatigue Life Prediction.
9. prediction technique according to claim 9, which is characterized in that described that the monocrystalline is calculated by iterative program
The high-Cycle Fatigue Life Prediction of air film pole, including：
Given one estimates high-Cycle Fatigue Life Prediction NF, i；
The maximum principal stress amplitude σ on the dangerous path is obtained by the finite element modeli,a；
By the maximum principal stress amplitude σi,aBring formula N intof,i+1=NA(σA/σi,a)kIt is iterated, if Nf,i+1Value and Nf,i's
Value is different, then by Nf,i+1Value assign N againf,iIt is iterated, iteration updates according to this, until convergence；
N at this timef,iValue is the high-Cycle Fatigue Life Prediction value of the monocrystalline air film pole.
10. according to claim 1~9 any one of them prediction technique, which is characterized in that the method further includes passing through experiment
Verify the validity of the high-Cycle Fatigue Life Prediction of the monocrystalline air film pole.
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| CN109299497A (en) * | 2018-08-01 | 2019-02-01 | 西北工业大学 | The simplification of nickel-based monocrystal turbo blade solid matter air film hole and equivalent method |
| CN109299497B (en) * | 2018-08-01 | 2022-04-15 | 西北工业大学 | Simplification and equivalent method for close-packed air film holes of nickel-based single crystal turbine blade |
| CN109408900A (en) * | 2018-09-29 | 2019-03-01 | 西北工业大学 | Crystal Nickel-based Superalloy turbo blade tenon fretting fatigue life-span prediction method |
| CN109408900B (en) * | 2018-09-29 | 2022-04-05 | 西北工业大学 | Nickel-based single crystal alloy turbine blade tenon fretting fatigue life prediction method |
| CN110032789A (en) * | 2019-04-04 | 2019-07-19 | 西北工业大学 | The prediction technique that air film hole arrangement mode influences Crystal Nickel-based Superalloy performance |
| CN110135006A (en) * | 2019-04-18 | 2019-08-16 | 西北工业大学 | The damaging judge method of nickel-based monocrystal turbine cooling blade air film hole |
| CN110135006B (en) * | 2019-04-18 | 2022-10-14 | 西北工业大学 | Method for judging damage of gas film hole of nickel-based single crystal turbine cooling blade |
| CN110344888A (en) * | 2019-06-27 | 2019-10-18 | 西北工业大学 | A kind of nickel-based monocrystal air film pole crack initiation determination method |
| CN110344888B (en) * | 2019-06-27 | 2021-10-08 | 西北工业大学 | Crack initiation determination method for nickel-based single crystal gas film pore member |
| CN112285140A (en) * | 2020-10-20 | 2021-01-29 | 北京航空航天大学 | Quantitative characterization method for early-stage propagation rate of internal crack of single crystal ultrahigh cycle fatigue |
| CN112487683A (en) * | 2020-12-01 | 2021-03-12 | 北京航空航天大学 | Structural member high-cycle fatigue life prediction method considering residual stress influence |
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