CN109374450A - It is a kind of to consider that the hard object damage of high and low all tired blade and blade basin blade back crack types determine method with the limit - Google Patents
It is a kind of to consider that the hard object damage of high and low all tired blade and blade basin blade back crack types determine method with the limit Download PDFInfo
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- G—PHYSICS
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- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N3/32—Investigating strength properties of solid materials by application of mechanical stress by applying repeated or pulsating forces
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- G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N2203/0058—Kind of property studied
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Abstract
It is high that the invention discloses a kind of considerations, the hard object damage of the blade and blade basin blade back crack type of low-cycle fatigue can determine method with the limit, high cycles fatigue load and low-cycle fatigue load are extracted from high/low all combined loads that blade is born first, a series of hard object crack damage of the relevant tearing/crack type of stress ratio under high cycles fatigue load and low-cycle fatigue load is established respectively does not extend equivalent curve, then the static stress and dynamic stress on leaf basin blade back various point locations are determined by finite element method, crack size corresponding to the equivalent curve is determined in the position that crackle does not extend in equivalent curve finally by static stress and dynamic stress is compared, the available limit of the hard object damage of tearing/crack type as at the blade and blade basin blade back point.The present invention not only proposes one kind, and simply, effectively hard object damages the method that can be determined with the limit, but also is directed to the hard object of blade and blade basin blade back tearing/crack type and damages the available limit system constant current journey for foring a kind of standardization.
Description
Technical field
The present invention relates to a kind of hard object damages of the blade and blade basin blade back crack type for considering high and low week fatigue to be determined with the limit
Method belongs to the hard object damage tolerance design of blade of aviation engine and maintenance area.
Background technique
The hard object such as metal, fragment, gravel, stone enters engine air circulation road and high-speed rotating blade along with air-flow
The impact injury to be formed that collides is the one of the major reasons for aggravating blade fatigue failure.Although there has been proposed the races of such as aircraft
The foreign object damages precautionary measures such as the cleaning of road foreign object, the inspection of ground crew's maintenance tool and control, but hard object damage can not always be kept away
Exempt from.
For inevitable hard object damage problem, although engine designer makes blade be provided with certain hard object damage
Tolerance ability, but be also required to provide the servicing manual with hard object damaged blade in the reseach of engine later period for user simultaneously, it is
After user provides necessary suggestion in operation and maintenance engine blade, such as hard object damage occurs for blade, how to judge hard
Whether object damaged blade is available (being excused from a college course).Currently, the key dimension for judging hard object injury severity score is lesion depths, engine
The available limit after hard object damage often occurs as blade using permitted maximum lesion depths in servicing manual, and passes through
It determines that reasonably the available limit is to reach under the premise of guaranteeing safety and performance, reduces blade and a degree of foreign object is occurring
The number of detachable maintaining and replacement after damage improves economy and Combat readiness.
Engine Company, which does not formulate hard object damage rear blade, at present can use the normalization procedure of the limit, newly set in the past
The available limit of the engine blade of meter is often based upon the operation and maintenance experience of old money engine, however as blade design skill
The continuous development of art, novel vane structure (such as integral blade disk, hollow blade) allow this empirical extrapolation mode to be faced with
Huge challenge.
The hard object damage of tearing/crack type is the more serious damage that blade of aviation engine leaf basin blade back is often subjected to, this
It is tired to propose a kind of consideration high and low week in order to provide the available limit system constant current journey of reasonable standard to such hard object damage for invention
The hard object damage of the blade and blade basin blade back crack type of labor can determine method with the limit.
Summary of the invention
The object of the present invention is to provide a kind of hard object damage of the blade and blade basin blade back crack type for considering high and low week fatigue is available
The limit determines method, to solve to lack the available limit system constant current journey of reasonable standard for the hard object damage of tearing/crack type at present
The problem of.
To achieve the above object, the technical solution adopted by the present invention are as follows:
It is a kind of to consider that the hard object damage of high and low all tired blade and blade basin blade back crack types determine method with the limit, including
Following steps:
(1) the high/low all Combined Fatigue Loads born from the leaf basin of blade and blade back each point extract the height that may occur
Cyclic fatigue load and low-cycle fatigue load;
(2) the crack growth threshold data according to blade material under different stress ratios, establish that stress ratio is relevant to be split
Line crack threshold value model;
(3) tearing in the leaf basin and blade back of blade/crack type damage is set as I type surface half-ellipse crack, it is oval
Crack depth half shaft length a is that tearing/crack type damage depth capacity d, half axial length b of elliptical crack surface are 1.5 times of a,
Establish the stress intensity factor calculation method of the surface half-ellipse crack;
(4) the crackle not extended model of high cycle fatigue load under the conditions of different stress ratios, low cycle fatigue loading is established respectively,
And it draws crackle under different crack depths a and does not extend equivalent curve figure;
(5) static stress and dynamic stress of blade and blade basin blade back each point are obtained by finite element method;
(6) equivalence song is determined in the position that crackle does not extend in equivalent curve by comparing static stress and dynamic stress
The available limit of the hard object damage of crackle/tearing mode at crack size a corresponding to line, as blade and blade basin the blade back point.
In the step (1), blade low frequency centrifugal force is followed when high/low all combined loads of blade refer to engine work
Low frequency centrifugal force cyclic loading in blade is denoted as low-cycle fatigue load, by leaf by the interaction of ring load and high-frequency vibration load
Piece medium-high frequency oscillating load is denoted as high cycles fatigue load, determines that the leaf basin of blade and blade back each point may by load spectrum analysis
The high cycles fatigue load and low-cycle fatigue loading of appearance.
In the step (2), crack growth threshold is indicated using stress intensity factor range Δ K, wherein working as stress
When than R > 0, Δ K=Kmax-Kmin, and Kmin≠ 0, as stress ratio R≤0, Δ K=Kmax-Kmin, and Kmin=0;Crack propagation door
Threshold value Δ KthIt is expressed as the function of stress ratio R.
In the step (3), the blade with I type surface half-ellipse crack is considered as limited thickness, unlimited width, unlimited
The semiellipse crackle body Model of length, the load born on crack surface is using power function distributed stress expression formula, it may be assumed that
Wherein, σ (x) is the stress distribution on crack surface, and a is crack length, and x is the coordinate on direction of crack propagation,
Its coordinate origin is the intersection point of single side crack and leading edge point, σiFor multinomial coefficient, i is exponent of polynomial, item number n≤7;With tear
Split/the crack surface stress distribution born of the big plate with I type surface half-ellipse crack of crack type blade equivalence is uniformly distributed point
Cloth, i.e. n=0, stress intensity factor calculation method use general weight-function method;
Stress intensity factor calculation expression when the above power function distributed stress is born on surface half-ellipse crack crack surface
Formula are as follows:
Wherein (x is a) weight function of cracks in body to m, and stress intensity factor maximum point is past for surface half-ellipse crack
Past is crack front deepest point A point or crack front surface point B point;
The general weight function of surface half-ellipse crack leading edge deepest point A point are as follows:
The general weight function of surface half-ellipse crack leading edge surface point B point are as follows:
As σ (x)=σ0When, the stress intensity factor implied expression formula of A point and B point are as follows:
Wherein, K is stress intensity factor, M1A、M2A、M3A、M1B、M2B、M3BFor general weight function coefficient, π is pi, σ0
For the uniform stress born on crack surface.
It is Δ K that the crackle of high cycle fatigue load, which does not extend criterion, in the step (4), under the conditions of different stress ratiosHCF=
ΔKth(RHCF), crackle does not extend equivalent curve model are as follows:
As stress ratio -1 < R < 0,
As 0≤R of stress ratio < 1,
It is Δ K that crackle under low cycle fatigue loading, which does not extend criterion,LCF=Δ Kth(RLCF), stress ratio RLCF=-1, then
Crackle does not extend equivalent curve model are as follows:
Wherein, Δ KHCFFor the stress intensity factor range under HCF load cycle, Δ KLCFFor under low-cycle fatigue load
Stress intensity factor range;RHCFFor the stress ratio of HCF load, RLCFFor the stress ratio of LCF load;FnFor geometric corrections coefficient;
σdynFor dynamic stress, σstaFor static stress, Δ σth(RHCF) and Δ σth(RLCF) it is threshold value stress;
It is static stress ordinate is dynamic stress that crackle, which does not extend equivalent curve figure abscissa,.
In the step (5), the leaf basin of blade and the static stress and dynamic stress of blade back each point use unit Von-
Mises equivalent stress indicates, represents the unit size of leaf basin blade back point as 1mm.
In the step (6), takes and wherein do not extend what equivalent curve determined by the corresponding crackle of high cycle fatigue load
Crack size and by low cycle fatigue loading determine crack size minimum value as the tearing at the blade and blade basin blade back point/
The available limit of the hard object damage of crack type.
The utility model has the advantages that the present invention is tearing/crack type that blade of aviation engine use process middle period basin blade back is often subjected to
The available limit that hard object damage provides a kind of reasonable standard determines method and process.The present invention considers blade and damages by hard object
The typical failure mode occurred after wound: high cycle fatigue and low-cycle fatigue, using the crackle being simple and efficient, extension principle is not established
The crackle of blade does not extend equivalent curve figure, and the limit can be used by proposing tearing in formulation blade and blade basin blade back/crack type damage
Standard step.
Detailed description of the invention
Fig. 1 is high/low all composite fatigue schematic diagrames;
Fig. 2 is low-cycle fatigue and high cycle fatigue schematic diagram;
Fig. 3 a- Fig. 3 e is the HCF and LCF loading that blade and blade basin blade back each point is likely to occur;
Fig. 4 is the crack growth threshold data and model of blade common used material TC4 titanium alloy;
Fig. 5 is that blade and blade basin blade back tearing/crack type equivalent damage is reduced to I type surface half-ellipse crack;
Fig. 6 is that crackle does not extend equivalent curve schematic diagram under HCF load;
Fig. 7 is that crackle does not extend equivalent curve figure under TC4 titanium alloy material HCF load;
Fig. 8 is that crackle does not extend equivalent curve schematic diagram under LCF load;
Fig. 9 is that crackle does not extend equivalent curve figure under TC4 titanium alloy material HCF load;
Figure 10 is blade of aviation engine and grid dividing form;
Figure 11 is the stable state stress distribution that Von-mises stress indicates;
Figure 12 is the first-order modal vibration stress that Von-mises stress indicates;
Figure 13 is the second-order modal vibration stress that Von-mises stress indicates;
Figure 14 is not extend equivalent curve figure by crackle to determine that blade and blade basin blade back can use limit schematic diagram;
Figure 15 is the available Limit Distribution that first-order modal vibrates the hard object damage of lower blade and blade basin blade back tearing/crack type;
Figure 16 is that second-order modal vibrates the available Limit Distribution of lower blade and blade basin blade back tearing/crack type damage.
Specific embodiment
Further explanation is done to the present invention with reference to the accompanying drawings and embodiments.
Embodiment
It is a kind of to consider that the hard object damage of high and low all tired blade and blade basin blade back crack types determine method with the limit, including
Following steps:
(1) the high/low all Combined Fatigue Loads born from the leaf basin of blade and blade back each point extract the height that may occur
Cyclic fatigue load and low-cycle fatigue load.Wherein, high cycles fatigue load, that is, high cycle fatigue load High cycle
Fatigue, abbreviation HCF, low-cycle fatigue load, that is, low cycle fatigue loading low cycle fatigue, abbreviation LCF.
Blade low frequency centrifugal force cyclic loading and high frequency vibrating when high/low all combined loads of blade refer to engine work
The interaction of dynamic loading, as shown in Figure 1.Centrifugal force cyclic loading in blade is denoted as low-cycle fatigue load by the present invention, i.e., low
All fatigue loads will be more than that the high-frequency vibration load of 1KHz is denoted as high cycles fatigue load, i.e. high cycle fatigue load in blade, such as
Shown in Fig. 2.The HCF load and LCF loading such as Fig. 3 that blade and blade basin blade back each point is likely to occur are determined by load spectrum analysis
It is shown.
(2) the crack growth threshold data according to blade material under different stress ratios, establish that stress ratio is relevant to be split
Line crack threshold value model.The crack growth threshold of blade material is indicated using stress intensity factor range Δ K in the present invention,
Wherein as stress ratio R > 0, Δ K=Kmax-Kmin, and Kmin≠ 0, as stress ratio R≤0, Δ K=Kmax-Kmin, and Kmin=0.
Crack growth threshold Δ KthIt is expressed as the function of stress ratio R.It is common using engine fan/compressor blade in the present embodiment
For material TC4 titanium alloy material, crack propagation model Value Data and curve are as shown in Figure 4.The crackle of TC4 titanium alloy expands
Open up threshold value model are as follows:
As 0≤R < 1:
As -1≤R < 0:
Wherein,The effective stress intensity range when for stress ratio R=0,A0=
0.00729、A1=1.0108, A2=-0.3959, A3=-0.10356 is coefficient,Stress intensity when for stress ratio R=0
Factor range,
(3) tearing in blade and blade basin blade back/crack type damage is assumed to be I type surface half-ellipse crack, elliptical crack
Depth half shaft length a is that tearing/crack type damage depth capacity d, half axial length b of elliptical crack surface are 1.5 times of a, is established
The stress intensity factor calculation method of the surface half-ellipse crack;Blade with I type surface half-ellipse crack is considered as limited thickness
Semiellipse crackle body Model such as Fig. 5 of degree, unlimited width, indefinite length, the load born on crack surface is using power function
Distributed stress expression formula, it may be assumed that
Wherein, σ (x) is the stress distribution on crack surface, and a is crack length, and x is the coordinate on direction of crack propagation,
Its coordinate origin is the intersection point of single side crack and leading edge point, σiFor multinomial coefficient, i is exponent of polynomial, item number n≤7.With tear
Split/the crack surface stress distribution born of the big plate with I type surface half-ellipse crack of crack type blade equivalence is uniformly distributed point
Cloth, i.e. n=0, stress intensity factor calculation method use general weight-function method.
Stress intensity factor calculation expression when the above power function distributed stress is born on surface half-ellipse crack crack surface
Formula are as follows:
Wherein (x is a) weight function of cracks in body to m, and stress intensity factor maximum point is past for surface half-ellipse crack
Past is crack front deepest point A point or crack front surface point B point;
The general weight function of surface half-ellipse crack leading edge deepest point A point are as follows:
The general weight function of surface half-ellipse crack leading edge surface point B point are as follows:
As σ (x)=σ0When, the stress intensity factor implied expression formula of A point and B point are as follows:
Wherein, K is stress intensity factor, M1A、M2A、M3A、M1B、M2B、M3BFor general weight function coefficient, π is pi, σ0
For the uniform stress born on crack surface.
(4) the crackle not extended model of high cycle fatigue load under the conditions of different stress ratios, low cycle fatigue loading is established respectively,
And it draws crackle under different crack lengths and does not extend equivalent curve figure.The crackle of high cycle fatigue load is not under the conditions of different stress ratios
Extension criterion is Δ KHCF=Δ Kth(RHCF), crackle does not extend equivalent curve model are as follows:
As stress ratio -1 < R < 0,
As 0≤R of stress ratio < 1,
When stress ratio R is larger, in fact it could happen that stress intensity factor range is unlikely to extend crackle, but maximum is answered
Power intensity factor KmaxReach the fracture toughness of material and causes transient state crack propagation to fracture.Crackle does not extend equivalent song at this time
Line should supplement boundary condition, i.e. Kmax=KIC.Therefore, not extend equivalent curve schematic diagram as shown in Figure 6 for crackle under HCF load.
It is as shown in Figure 7 not extend equivalent curve figure for crackle under TC4 titanium alloy material HCF load.
It is Δ K that crackle under low cycle fatigue loading, which does not extend criterion,LCF=Δ Kth(RLCF), stress ratio RLCF=-1, then
Crackle does not extend equivalent curve model are as follows:
Wherein, Δ KHCFFor the stress intensity factor range under HCF load cycle, Δ KLCFFor under low-cycle fatigue load
Stress intensity factor range;RHCFFor the stress ratio of HCF load, RLCFFor the stress ratio of LCF load;FnFor geometric corrections coefficient;
σdynFor dynamic stress, σstaFor static stress, Δ σth(RHCF) and Δ σth(RLCF) it is threshold value stress.Crackle is not under LCF load
Equivalent curve schematic diagram is extended as shown in figure 8, crackle does not extend equivalent curve figure such as Fig. 9 institute under TC4 titanium alloy material LCF load
Show.
It is static stress ordinate is dynamic stress that crackle, which does not extend equivalent curve figure abscissa,.
(5) static stress and dynamic stress of blade and blade basin blade back each point are obtained by finite element method.Leaf
The static stress and dynamic stress of piece leaf basin blade back each point are indicated using unit Von-mises equivalent stress, represent leaf basin blade back
The unit size of point is 1mm.In the present embodiment, certain type blade of aviation engine and its grid dividing form are as shown in Figure 10.Hair
Motivation blade static stress in practical work process determines by working speed, therefore can be quick by finite element method
Accurately obtain.However, the calculating process of actual vibration stress is not only sufficiently complex in blade and computational accuracy is difficult to ensure.Institute
With the calculation process in order to illustrate the method for the present invention, using blade 1 rank, 2 occur respectively for the oscillating load of blade in the present embodiment
Von-mises effective stress when rank modal vibration and blade tip vibration displacement are 5mm indicates.The static state of blade is answered in the present embodiment
Power distribution is as shown in figure 11.The blade first-order modal vibration stress distribution such as Figure 12 indicated using Von-mises stress, is used
The blade second-order modal stress distribution that Von-mises stress indicates is as shown in figure 13.
(6) equivalence song is determined in the position that crackle does not extend in equivalent curve by comparing static stress and dynamic stress
Crack size corresponding to line takes and does not wherein extend the crackle ruler that equivalent curve determines by the corresponding crackle of high cycle fatigue load
Very little and minimum value by the determining crack size of low cycle fatigue loading is as crackle/tearing mode at the blade and blade basin blade back point
The available limit of hard object damage.Wherein, equivalent curve figure is not extended by crackle under HCF load and determines that blade and blade basin blade back is available
Limit process is as shown in figure 14.
First-order modal in the present embodiment can be obtained by above 6 steps and vibrate lower blade and blade basin blade back tearing/crack type
Available Limit Distribution such as Figure 15 of hard object damage, second-order modal vibrates the hard object damage of lower blade and blade basin blade back tearing/crack type can
It is as shown in figure 16 with Limit Distribution.
Though the present invention disclosed as above with preferred embodiment, the example be not it is for the purpose of limiting the invention, it is any to be familiar with this
Those skilled in the art can also make several improvements and modifications without departing from the spirit and scope of the invention, these improvements and modifications
It should be regarded as protection scope of the present invention.
Claims (7)
1. a kind of hard object damage of blade and blade basin blade back crack type for considering high and low week fatigue can determine method, feature with the limit
It is: includes the following steps:
(1) the high/low all Combined Fatigue Loads born from the leaf basin of blade and blade back each point extract the high circulation that may occur
Fatigue load and low-cycle fatigue load;
(2) the crack growth threshold data according to blade material under different stress ratios are established the relevant crackle of stress ratio and are expanded
Open up threshold value model;
(3) tearing in the leaf basin and blade back of blade/crack type damage is set as I type surface half-ellipse crack, elliptical crack
Depth half shaft length a is that tearing/crack type damage depth capacity d, half axial length b of elliptical crack surface are 1.5 times of a, is established
The stress intensity factor calculation method of the surface half-ellipse crack;
(4) the crackle not extended model of high cycle fatigue load under the conditions of different stress ratios, low cycle fatigue loading is established respectively, and is drawn
Crackle does not extend equivalent curve figure under different crack depths a processed;
(5) static stress and dynamic stress of blade and blade basin blade back each point are obtained by finite element method;
(6) the equivalent curve institute is determined in the position that crackle does not extend in equivalent curve by comparing static stress and dynamic stress
The available limit of the hard object damage of crackle/tearing mode at corresponding crack size a, as blade and blade basin the blade back point.
2. the blade and blade basin blade back crack type hard object damage according to claim 1 for considering high and low week fatigue can use the limit
Determine method, it is characterised in that: in the step (1), blade when high/low all combined loads of blade refer to engine work
It is tired to be denoted as low circulation by the interaction of low frequency centrifugal force cyclic loading and high-frequency vibration load for low frequency centrifugal force cyclic loading in blade
Blade medium-high frequency oscillating load is denoted as high cycles fatigue load by labor load, by load spectrum analysis determine blade leaf basin and
The high cycles fatigue load and low-cycle fatigue loading that blade back each point is likely to occur.
3. the blade and blade basin blade back crack type hard object damage according to claim 1 for considering high and low week fatigue can use the limit
Determine method, it is characterised in that: in the step (2), crack growth threshold uses stress intensity factor range Δ K table
Show, wherein as stress ratio R > 0, Δ K=Kmax-Kmin, and Kmin≠ 0, as stress ratio R≤0, Δ K=Kmax-Kmin, and Kmin
=0;Crack growth threshold Δ KthIt is expressed as the function of stress ratio R.
4. the blade and blade basin blade back crack type hard object damage according to claim 1 for considering high and low week fatigue can use the limit
Determine method, it is characterised in that: in the step (3), with I type surface half-ellipse crack blade be considered as limited thickness,
The semiellipse crackle body Model of unlimited width, indefinite length, the load born on crack surface is using power function distributed stress
Expression formula, it may be assumed that
Wherein, σ (x) is the stress distribution on crack surface, and a is crack length, and x is the coordinate on direction of crack propagation, is sat
Mark the intersection point that origin is single side crack and leading edge point, σiFor multinomial coefficient, i is exponent of polynomial, item number n≤7;With tearing/
The crack surface stress distribution that the big plate with I type surface half-ellipse crack of crack type blade equivalence is born is uniformly distributed distribution,
That is n=0, stress intensity factor calculation method use general weight-function method;
Stress intensity factor calculation expression when the above power function distributed stress is born on surface half-ellipse crack crack surface are as follows:
Wherein (x is a) weight function of cracks in body to m, and stress intensity factor maximum point is often for surface half-ellipse crack
Crack front deepest point A point or crack front surface point B point;
The general weight function of surface half-ellipse crack leading edge deepest point A point are as follows:
The general weight function of surface half-ellipse crack leading edge surface point B point are as follows:
As σ (x)=σ0When, the stress intensity factor implied expression formula of A point and B point are as follows:
Wherein, K is stress intensity factor, M1A、M2A、M3A、M1B、M2B、M3BFor general weight function coefficient, π is pi, σ0To split
The uniform stress born on line face.
5. the blade and blade basin blade back crack type hard object damage according to claim 1 for considering high and low week fatigue can use the limit
Determine method, it is characterised in that: in the step (4), the crackle of high cycle fatigue load does not extend under the conditions of different stress ratios
Criterion is Δ KHCF=Δ Kth(RHCF), crackle does not extend equivalent curve model are as follows:
As stress ratio -1 < R < 0,
As 0≤R of stress ratio < 1,
It is Δ K that crackle under low cycle fatigue loading, which does not extend criterion,LCF=Δ Kth(RLCF), stress ratio RLCF=-1, then crackle
Equivalent curve model is not extended are as follows:
Wherein, Δ KHCFFor the stress intensity factor range under HCF load cycle, Δ KLCFFor the stress under low-cycle fatigue load
Intensity factor range;RHCFFor the stress ratio of HCF load, RLCFFor the stress ratio of LCF load;FnFor geometric corrections coefficient;σdynFor
Dynamic stress, σstaFor static stress, Δ σth(RHCF) and Δ σth(RLCF) it is threshold value stress;
It is static stress ordinate is dynamic stress that crackle, which does not extend equivalent curve figure abscissa,.
6. the blade and blade basin blade back crack type hard object damage according to claim 1 for considering high and low week fatigue can use the limit
Determine method, it is characterised in that: in the step (5), the leaf basin of blade and the static stress and dynamic stress of blade back each point
It is indicated using unit Von-mises equivalent stress, represents the unit size of leaf basin blade back point as 1mm.
7. the blade and blade basin blade back crack type hard object damage according to claim 1 for considering high and low week fatigue can use the limit
Determine method, it is characterised in that: in the step (6), take and do not extend by the corresponding crackle of high cycle fatigue load wherein
It is worth the minimum value of the determining crack size of curve and the crack size determined by low cycle fatigue loading as blade and blade basin blade back
The available limit of the hard object damage of tearing/crack type at the point.
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CN112733398A (en) * | 2020-12-29 | 2021-04-30 | 南京航空航天大学 | Method for determining repair-free limit of impact damage of pit-type hard object |
Citations (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US20070157447A1 (en) * | 2006-01-09 | 2007-07-12 | Prevey Paul S | Method of improving the properties of a repaired component and a component improved thereby |
CN103217346A (en) * | 2013-04-01 | 2013-07-24 | 北京航空航天大学 | Method for measuring high-temperature creep crack growth threshold value of material |
CN103454140A (en) * | 2013-09-13 | 2013-12-18 | 中国科学院金属研究所 | Simple method for measuring fatigue crack propagation threshold value of metal material |
CN106644783A (en) * | 2016-12-31 | 2017-05-10 | 北京航空航天大学 | Turbine disc-based low-cycle fatigue crack propagation life prediction method |
CN108169040A (en) * | 2017-12-14 | 2018-06-15 | 中国人民解放军空军工程大学 | The parameter identification method of material constitutive and failure model under a kind of Under High Strain rate |
-
2018
- 2018-09-25 CN CN201811115062.1A patent/CN109374450B/en active Active
Patent Citations (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US20070157447A1 (en) * | 2006-01-09 | 2007-07-12 | Prevey Paul S | Method of improving the properties of a repaired component and a component improved thereby |
CN103217346A (en) * | 2013-04-01 | 2013-07-24 | 北京航空航天大学 | Method for measuring high-temperature creep crack growth threshold value of material |
CN103454140A (en) * | 2013-09-13 | 2013-12-18 | 中国科学院金属研究所 | Simple method for measuring fatigue crack propagation threshold value of metal material |
CN106644783A (en) * | 2016-12-31 | 2017-05-10 | 北京航空航天大学 | Turbine disc-based low-cycle fatigue crack propagation life prediction method |
CN108169040A (en) * | 2017-12-14 | 2018-06-15 | 中国人民解放军空军工程大学 | The parameter identification method of material constitutive and failure model under a kind of Under High Strain rate |
Non-Patent Citations (4)
Title |
---|
MIRCO D. CHAPETTI: "Application of a threshold curve model to high-cycle fatigue behavior", 《INTERNATIONAL JOURNAL OF FATIGUE》 * |
R. HALL 等: "Influence of foreign object damage on fatigue crack growth of gas turbine aerofoils under complex loading conditions", 《FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES》 * |
朱自佳: "外物损伤对风扇叶片高循环疲劳强度的影响及预测", 《中国优秀硕士学位论文全文数据库 工程科技II辑》 * |
李瑞品: "基于表面和内部损伤的压缩机叶片", 《中国优秀硕士学位论文全文数据库工程科技II辑》 * |
Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN112733398A (en) * | 2020-12-29 | 2021-04-30 | 南京航空航天大学 | Method for determining repair-free limit of impact damage of pit-type hard object |
CN112733398B (en) * | 2020-12-29 | 2024-06-11 | 南京航空航天大学 | Pit type hard object impact damage repair-free limit determination method |
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