CN107449894B - The Prediction method for fatigue life of silicon nitride combined silicon carbide refractory - Google Patents
The Prediction method for fatigue life of silicon nitride combined silicon carbide refractory Download PDFInfo
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- HBMJWWWQQXIZIP-UHFFFAOYSA-N silicon carbide Chemical compound [Si+]#[C-] HBMJWWWQQXIZIP-UHFFFAOYSA-N 0.000 title claims abstract description 45
- 229910010271 silicon carbide Inorganic materials 0.000 title claims abstract description 45
- 229910052581 Si3N4 Inorganic materials 0.000 title claims abstract description 41
- HQVNEWCFYHHQES-UHFFFAOYSA-N silicon nitride Chemical compound N12[Si]34N5[Si]62N3[Si]51N64 HQVNEWCFYHHQES-UHFFFAOYSA-N 0.000 title claims abstract description 40
- 238000000034 method Methods 0.000 title claims abstract description 32
- 239000000463 material Substances 0.000 claims abstract description 77
- 230000006378 damage Effects 0.000 claims abstract description 21
- 230000000977 initiatory effect Effects 0.000 claims abstract description 21
- 230000000694 effects Effects 0.000 claims abstract description 10
- 238000009825 accumulation Methods 0.000 claims abstract description 9
- 230000035882 stress Effects 0.000 claims description 75
- 208000037656 Respiratory Sounds Diseases 0.000 claims description 18
- 238000012512 characterization method Methods 0.000 claims description 8
- 230000006735 deficit Effects 0.000 claims description 7
- 238000005336 cracking Methods 0.000 claims description 5
- 239000011214 refractory ceramic Substances 0.000 claims description 5
- 239000002131 composite material Substances 0.000 claims description 4
- 230000007547 defect Effects 0.000 claims description 4
- 238000011161 development Methods 0.000 claims description 4
- 230000003993 interaction Effects 0.000 claims description 4
- 125000004122 cyclic group Chemical group 0.000 claims description 3
- 239000002245 particle Substances 0.000 claims description 3
- 230000008646 thermal stress Effects 0.000 claims description 3
- 229910010293 ceramic material Inorganic materials 0.000 abstract description 6
- 239000008187 granular material Substances 0.000 abstract description 2
- 238000012423 maintenance Methods 0.000 abstract description 2
- 230000008569 process Effects 0.000 description 4
- 230000018109 developmental process Effects 0.000 description 3
- 241000208340 Araliaceae Species 0.000 description 2
- IJGRMHOSHXDMSA-UHFFFAOYSA-N Atomic nitrogen Chemical compound N#N IJGRMHOSHXDMSA-UHFFFAOYSA-N 0.000 description 2
- 235000005035 Panax pseudoginseng ssp. pseudoginseng Nutrition 0.000 description 2
- 235000003140 Panax quinquefolius Nutrition 0.000 description 2
- 230000008859 change Effects 0.000 description 2
- 150000001875 compounds Chemical class 0.000 description 2
- 235000008434 ginseng Nutrition 0.000 description 2
- 229910052757 nitrogen Inorganic materials 0.000 description 2
- 240000002853 Nelumbo nucifera Species 0.000 description 1
- 235000006508 Nelumbo nucifera Nutrition 0.000 description 1
- 235000006510 Nelumbo pentapetala Nutrition 0.000 description 1
- 229910003978 SiClx Inorganic materials 0.000 description 1
- 238000004458 analytical method Methods 0.000 description 1
- 238000013459 approach Methods 0.000 description 1
- 230000015572 biosynthetic process Effects 0.000 description 1
- 230000001427 coherent effect Effects 0.000 description 1
- 230000001186 cumulative effect Effects 0.000 description 1
- 230000007812 deficiency Effects 0.000 description 1
- 238000002513 implantation Methods 0.000 description 1
- 230000006872 improvement Effects 0.000 description 1
- 229910052573 porcelain Inorganic materials 0.000 description 1
- 238000011160 research Methods 0.000 description 1
- 239000000523 sample Substances 0.000 description 1
- 229910052710 silicon Inorganic materials 0.000 description 1
- 239000010703 silicon Substances 0.000 description 1
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 description 1
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
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Abstract
The invention discloses a kind of Prediction method for fatigue life of silicon nitride combined silicon carbide refractory, the prediction technique has comprehensively considered average load suffered by material, load gradient, probabilistic influence factor of dimensional effect and fatigue limit, sufficiently present the stress concentration under stress alternation acts at initial imperfection, in conjunction with actual condition and improved crack propagation formula-Forman formula, fuzzy theory is combined with classics Miner linear damage accumulation rule, establish the prediction model that complex load acts on lower silicon nitride combined silicon carbide refractory crack initiation life and crack propagation life.The method of the present invention improves the precision that fatigue life prediction is carried out to ceramic material in terms of macro thin sight, significantly reduce error of traditional brittle ceramic materials in terms of life prediction, while the foundation as silicon nitride combined silicon carbide refractory fatigue life prediction and maintenance decision, also the fatigue life prediction for granule enhancement type ceramic material provides foundation.
Description
Technical field
The present invention relates to Prediction method for fatigue life, and in particular to a kind of fatigue of silicon nitride combined silicon carbide refractory
Life-span prediction method.
Background technique
The life cycle of silicon nitride combined silicon carbide refractory crackle covers crackle and is broken by fault location germinating to material
Split the duration in each stages such as failure.The stress at material position the hole, notch the defects of is concentrated, and crackle is often encouraged
Formation；Material crack tip stress fields and initial and critical crack size, usually affect the propagation behavior of crackle；It is all or more
Or constrain the entire Fatigue life cycles and self-strength of ceramic material less.Along with mean stress, stress gradient, size
The uncertainty of the influence of effect and material itself fatigue limit, so that carrying out fatigue to silicon nitride combined silicon carbide refractory
Life prediction seems especially complicated.
Experts and scholars have carried out extensive research to the crack initiation life and crack propagation life of traditional brittle ceramic materials,
Propose the method for a variety of predicted fatigue lifes such as nominal stress method, local stress approach and standard-field strength method.Traditional crack propagation is public
Formula --- Pair formula has ignored the influence of external average load suffered by material, also not in view of material itself microstructure
Effect；Although traditional Miner rule calculates easy, interaction between load and loading sequence are also had ignored to material
Expect the influence of fatigue limit.Pair formula is combined with Miner linear cumulative damage law, although can be by adjusting damage ginseng
Interference and Overload Retardation effect between the value reflection alternate stress of amount, but not with silicon nitride combined silicon carbide refractory
Disconnected to promote the use, there is also large errors in terms of predicting its fatigue crack service life.Therefore, a kind of raising silicon nitride bonded silicon is probed into
The new method of silicon carbide refractory ceramics fatigue life prediction precision cannot be only used for instructing silicon nitride combined silicon carbide refractory
In the maintenance of engineering in practice, but also ginseng can be provided for the fatigue life prediction of similar granule enhancement type ceramic material
It examines.
Summary of the invention
Present invention aims to overcome that the deficiency of above-mentioned background technique, and a kind of silicon nitride combined silicon carbide fire resisting pottery is provided
The Prediction method for fatigue life of porcelain, the fuzzy Miner that this method combines fuzzy theory with conventional linear damage accumulation rule
Fatigue life prediction model improves the precision of material fatigue life prediction.
To achieve the above object, the fatigue life prediction side of silicon nitride combined silicon carbide refractory provided by the present invention
Method includes the following steps:
Step 1: the engineering reality for combining silicon nitride combined silicon carbide refractory to use first and the thin sight letter of its own
Number relationship, it is tired with damage in the stress collection of fault location from probing into silicon nitride combined silicon carbide refractory in terms of macroscopic view and mesomechanics
Product situation, mutually combines life with interface for the silicon-carbide particle phase in silicon nitride combined silicon carbide refractory three-phase composite system
At compound spherical model, during can be by its tension damage development under steady temperature with impairment parameter D and interface phase parameter q
Thin functional relation of seeing is expressed as follows:
Step 2: the macroscopic view and mesomechanics condition that comprehensive crackle generates fully considers hole, being averaged of being received at chips defect
The influence of load, load gradient, the uncertainty and dimensional effect of fatigue limit, is established in conjunction with fuzzy theory and Miner rule
Miner model is obscured to state the crack initiation life of material:
In formula, NfThe crack initiation life for indicating material, that is, the circulation for the loading stress for causing material macroscopic cracking to generate
Number；N1Indicate the cycle-index for leading to the maximum load stress of material failure；N0Indicate the load for causing material micro-crack to generate
The cycle-index of stress；NiExpression acts on the cycle-index of the i-stage loading stress of material；σiAs i-stage loading stress；
σi(M)For extraneous load stress value maximum in i-stage loading stress；σ-1For the fatigue limit of material；(σ-1)iIt indicates in i-stage
Loading stress acts on the fatigue limit of lower material；αiIndicate the load coefficient of intensification of i-stage loading stress；Indicate i-stage
The fuzzy membership functions of loading stress is distributed with normal distribution with Weibull to be indicated, whereinFor each Cyclic Stress
The fuzzy set of lower material damage parameter；M` indicates low amplitude load to material crack at the coefficient of intensification of nuclear lifetime；D is Miner method
Then descend the prediction straight slope of the crack initiation life of material；M indicates the function coefficient of fuzzy Miner model；
Step 3: according to the frequency of plus load and mean stress influence factor, by improved Forman formula:The fuzzy Miner model in step 2 is substituted into, material can be obtained
The crack propagation life N of materialePrediction technique it is as follows:
In formula, constant k is related with material self property and its actual environment operating condition of application；E is the elasticity modulus of material；
F is the frequency of fatigue load；R is stress ratio, in this as the characterization of mean stress；Δ k is stress intensive factor range value, is material
The characterization of the stress amplitude of material；A is that crackle half is long；N is cycle-index；ΔkthIt is the threshold value for causing crack propagation；K1cFor material
The fracture toughness of material；piIndicate the probability that i-stage load occurs in global cycle number；acIndicate that critical crack half is long, a0It indicates
Initial crack half is long, and d is the prediction straight slope of the crack initiation life of material under Miner rule；
Not by impairment parameter D by the interaction of plus load and its influence in loading sequence On Crack Propagation service life
Consecutive variations are indicated, it may be assumed that
In formula, Δ aiIndicate that crack propagation increment caused by i-stage load, Σ indicate summation；Coefficient AiAnd BiIt can determine and split
Damage accumulation range in line expansion process, they can be by as follows about a0With acMultiple groups functional relation be subject to
It acquires:
Step 4: after the crack initiation life of silicon nitride combined silicon carbide refractory and crack propagation life are combined, nitrogen
The fatigue life prediction of SiClx combined silicon carbide refractory ceramic is determined by following formula:
Wherein, NlAnd NhRespectively represent the fatigue of silicon nitride combined silicon carbide refractory under minimum and maximum loading stress
Service life,Indicate thermal stress attenuation coefficient.
Feature of the invention can be illustrated in terms of crackle is formed with crack propagation two:
(1) in the course of cracks forming, fully consider stress concentration degree at fault in material and micro-structural parameters with
The functional relation of interface phase parameter；Based on fuzzy Miner fatigue life prediction model, in conjunction with damage accumulation, to predict silicon nitride
Combined silicon carbide refractory ceramic focuses on the crack initiation life that macroscopic cracking generates from stress in fault location.
(2) in crack propagation process, fully consider mean stress and crackle in low speed, stable state and high speed three phases
Propagation law is added the effect of the influence factors such as material constant k and plus load frequency, improves to Forman formula, and
Fuzzy Miner fatigue life prediction model is substituted into, to predict silicon nitride combined silicon carbide refractory in fault location from macro
It sees crackle and is generated to the crack propagation life that final fracture failed in this period.
In conjunction with features described above, compared with the prior art, the advantages of the present invention are as follows: thin see has studied impairment parameter and interface
The functional relation of parameter, elasticity modulus etc., to the damage in the silicon nitride combined silicon carbide refractory crack initiation life period
Accumulation considers more comprehensively；Improvement to Forman formula, will be to silicon nitride combined silicon carbide refractory crack propagation life
Prediction more comprehensively, improve in the past prediction silicon nitride combined silicon carbide refractory fatigue life in terms of prediction essence
Degree.
Detailed description of the invention
Fig. 1 is the Prediction method for fatigue life flow chart of silicon nitride combined silicon carbide refractory of the present invention；
Fig. 2 is that will carefully see three-phase composite system simplified model figure in the present invention.
Specific embodiment
Below with reference to the embodiment performance that the present invention will be described in detail, but they and do not constitute a limitation of the invention,
It is only for example.Simultaneously by illustrating that advantages of the present invention will become clearer and be readily appreciated that.
The Prediction method for fatigue life of silicon nitride combined silicon carbide refractory of the present invention, includes the following steps: step 1:
In conjunction with the engineering reality used in relation to silicon nitride combined silicon carbide refractory and the thin sight functional relation of its own, from macro thin sight
Aspect probes into silicon nitride combined silicon carbide refractory in the stress collection of fault location and damage accumulation situation, to analyze silicon nitride
The internal and external environment that the crackle of combined silicon carbide refractory ceramic generates, to improve the accuracy predicted its crack initiation life.Fig. 2
It is in the method by the silicon-carbide particle phase and interface Xiang Xiangjie in silicon nitride combined silicon carbide refractory three-phase composite system
It closes, compound spherical model is generated to simplify, to seek the process that material carefully sees functional relation.With impairment parameter D and interface coherent
Thin sight functional relation during number q can be by its tension damage development under steady temperature is expressed as follows:
When tensile stress is less than critical value, elasticity modulus of materials reaches maximum, but there is no damage developments for inside, own
Flexible deformation all only occurs for crackle, does not extend；When tensile stress is in critical value and when most receiving greatly between value of material, damage master
If nonlinear, continuously distributed damage occurs for inside；With continuing growing for extraneous load, stress is up to boundary strength
The limit, more and more micro-cracks eventually lead to interfacial detachment in interface appearance, extension, or even uniformly cracking.
Step 2: the average load received at the defects of integrating the macro thin sight condition that crackle generates, fully considering hole, notch
The influence of lotus, load gradient, the uncertainty and dimensional effect of fatigue limit, establishes mould in conjunction with fuzzy theory and Miner rule
Miner model is pasted to state the crack initiation life of material.
Wherein, NfThe crack initiation life for indicating material, that is, the circulation for the loading stress for causing material macroscopic cracking to generate
Number；N1Indicate the cycle-index for leading to the maximum load stress of material failure；N0Indicate the load for causing material micro-crack to generate
The cycle-index of stress；NiExpression acts on the cycle-index of the i-stage loading stress of material；σiAs i-stage loading stress；
σi(M)For extraneous load stress value maximum in i-stage loading stress；σ-1For the fatigue limit of material；(σ-1)iIt indicates in i-stage
Loading stress acts on the fatigue limit of lower material；αiIndicate the load coefficient of intensification of i-stage loading stress；Indicate i-stage
The fuzzy membership functions of loading stress is distributed with normal distribution with Weibull to be indicated, whereinFor each Cyclic Stress
The fuzzy set of lower material damage parameter；M` indicates low amplitude load to material crack at the coefficient of intensification of nuclear lifetime；D is Miner method
Then descend the prediction straight slope of the crack initiation life of material；M indicates the function coefficient of fuzzy Miner model.
Refractory is when as supercharged steam generator burner hearth firebrick lining, tensile strength 185MPa, minimum stress 20~
Between 30MPa, thus deduce, fatigue limit σ-1≈81.4MPa.Under normal conditions: m` ≈ 5.1 × 10-8, d=12,Ni=N0(σ-1/σi)m, bring related parameter values into formula (2)) in, N can be solved to obtainf≈ 396 times.Correlative study
Show Si3N4In conjunction with SiC burner hearth firebrick lining is loaded circulate beyond 402 times after, just gradually start to generate lateral fatigue crack.This
The accuracy of crack initiation life method is demonstrated to a certain extent.
Step 3: consider lattice friction and loads the influence of mean stress, by improved Forman formula:The fuzzy Miner model of implantation above, can be obtained material
The crack propagation life N of materialePrediction technique it is as follows:
Wherein, constant k is related with material self property and its actual environment operating condition of application；E is the elasticity modulus of material；
F is the frequency of fatigue load；R is stress ratio, in this as the characterization of mean stress；Δ k is stress intensive factor range value, is material
The characterization of the stress amplitude of material；A is that crackle half is long；N is cycle-index；ΔkthIt is the threshold value for causing crack propagation；K1cFor material
The fracture toughness of material；piIndicate the probability that i-stage load occurs in global cycle number；acIndicate that critical crack half is long, a0It indicates
Initial crack half is long, can be by choosing the corresponding fuzzy membership functions such as normal distribution, logarithm normal distribution or Weibull distribution
They and maximum stress and fracture toughness are indicated there are fuzzy relation, d is the crack initiation life of material under Miner rule
Predict straight slope.
In addition, the interaction of plus load and its influence in loading sequence On Crack Propagation service life can be joined by damage
The discontinuous variation of number D is to be indicated, it may be assumed that
In formula, Δ aiIndicate that crack propagation increment caused by i-stage load, Σ indicate summation；Coefficient AiAnd BiIt can determine and split
Damage accumulation range in line expansion process, they can be by as follows about a0With acMultiple groups functional relation be subject to
It acquires.
When plus load is carried from high-amplitude to when changing by a narrow margin, it is prominent by plus load that the change of stress level is equivalent to material
The effect of drop, D fall, crack retardation, and the extension service life extends；When plus load to high-amplitude from changing by a narrow margin, stress water
Flat change is equivalent to the effect that material is uprushed by plus load, and D is sharply increased, and crack propagation accelerates, and extends the lost of life.
Step 4: on the basis of Such analysis, by the crack initiation life of silicon nitride combined silicon carbide refractory and splitting
Line extends after the service life combines, and a kind of Prediction method for fatigue life of silicon nitride combined silicon carbide refractory can be ultimately expressed as:
Wherein, NlAnd NhRespectively represent the fatigue of silicon nitride combined silicon carbide refractory under minimum and maximum loading stress
Service life,Indicate thermal stress attenuation coefficient.
By f=2.3 × 10-5, R=0.1375 brings into above-described embodiment, solves to obtain N ≈ 584 times.Engineering in practice,
In 500-667 interval range, failure will be also produced fracture.This also demonstrates the standard of aforementioned formula to a certain extent
True property.
The content that this specification is not described in detail belongs to the prior art well known to professional and technical personnel in the field.
Claims (2)
1. a kind of Prediction method for fatigue life of silicon nitride combined silicon carbide refractory, which comprises the steps of:
Step 1: the engineering reality for combining silicon nitride combined silicon carbide refractory to use first and the thin sight function of its own close
System, from probed into macroscopic view and mesomechanics in terms of silicon nitride combined silicon carbide refractory in the stress collection of fault location with damage accumulation feelings
Silicon-carbide particle phase in silicon nitride combined silicon carbide refractory three-phase composite system is mutually combined generation again with interface by condition
Close spherical model, thin sight during can be by its tension damage development under steady temperature with impairment parameter D and interface phase parameter q
Functional relation is expressed as follows:
Step 2: the macroscopic view and mesomechanics condition that comprehensive crackle generates, fully consider hole, the average load received at chips defect,
The influence of load gradient, the uncertainty and dimensional effect of fatigue limit is established fuzzy in conjunction with fuzzy theory and Miner rule
Miner model states the crack initiation life of material:
In formula, NfThe crack initiation life for indicating material, that is, the cycle-index for the loading stress for causing material macroscopic cracking to generate；
N1Indicate the cycle-index for leading to the maximum load stress of material failure；N0Indicate the loading stress for causing material micro-crack to generate
Cycle-index；NiExpression acts on the cycle-index of the i-stage loading stress of material；σiAs i-stage loading stress；σi(M)
For extraneous load stress value maximum in i-stage loading stress；σ-1For the fatigue limit of material；(σ-1)iIt indicates to load in i-stage
The fatigue limit of material under stress；αiIndicate the load coefficient of intensification of i-stage loading stress；Indicate i-stage load
The fuzzy membership functions of stress is distributed with normal distribution with Weibull to be indicated, whereinFor material under each Cyclic Stress
Expect the fuzzy set of impairment parameter；M, indicate low amplitude load to material crack at the coefficient of intensification of nuclear lifetime；D is under Miner rule
The prediction straight slope of the crack initiation life of material；M indicates the function coefficient of fuzzy Miner model；
Step 3: according to the frequency of plus load and mean stress influence factor, improved Forman formula being substituted into step 2
In fuzzy Miner model, the crack propagation life N of material can be obtainedePrediction technique it is as follows:
In formula, constant k is related with material self property and its actual environment operating condition of application；E is the elasticity modulus of material；F is
The frequency of fatigue load；R is stress ratio, in this as the characterization of mean stress；Δ K is stress intensive factor range value, is material
Stress amplitude characterization；A is that crackle half is long；N is cycle-index；ΔKthIt is the threshold value for causing crack propagation；K1cFor material
Fracture toughness；piIndicate the probability that i-stage load occurs in global cycle number；acIndicate that critical crack half is long, a0It indicates just
Beginning crackle half is long, and d is the prediction straight slope of the crack initiation life of material under Miner rule；
The influence in the interaction of plus load and its loading sequence On Crack Propagation service life is passed through into the discontinuous of impairment parameter D
Variation is to be indicated, it may be assumed that
In formula, Δ aiIndicate that crack propagation increment caused by i-stage load, Σ indicate summation；Coefficient AiAnd BiIt can determine that crackle expands
Damage accumulation range during exhibition, they can be by as follows about a0With acMultiple groups functional relation acquired:
Step 4: after the crack initiation life of silicon nitride combined silicon carbide refractory and crack propagation life are combined, silicon nitride
The fatigue life prediction of combined silicon carbide refractory ceramic is determined by following formula:
Wherein, NlAnd NhThe fatigue life of silicon nitride combined silicon carbide refractory under minimum and maximum loading stress is respectively represented,Indicate thermal stress attenuation coefficient.
2. the Prediction method for fatigue life of silicon nitride combined silicon carbide refractory according to claim 1, feature exist
In in the step 3, improved Forman formula is
In formula: a is that crackle half is long；N is cycle-index；Constant k has with material self property and its actual environment operating condition of application
It closes；F is the frequency of fatigue load；R is stress ratio, in this as the characterization of mean stress；E is the elasticity modulus of material；Δ K is
Stress intensive factor range value is the characterization of the stress amplitude of material；ΔKthIt is the threshold value for causing crack propagation；K1cFor material
Fracture toughness.
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| CN108444823A (en) * | 2018-02-28 | 2018-08-24 | 三峡大学 | A kind of large span power transmission conducting wire Prediction method for fatigue life considering multifactor impact |
| CN108613889B (en) * | 2018-04-27 | 2020-07-07 | 佛山科学技术学院 | Titanium alloy blunt notch fatigue strength loss coefficient evaluation method based on cycle life |
| CN109060497A (en) * | 2018-07-18 | 2018-12-21 | 天津大学 | It is a kind of to consider the Analysis of Fatigue method lower than fatigue limit load |
| CN111751199B (en) * | 2020-06-09 | 2021-07-09 | 西北工业大学 | Fatigue life prediction method based on EIFS distribution |
| CN113139300B (en) * | 2021-05-14 | 2023-09-12 | 南京工程学院 | Quantitative prediction method and device for ceramic micropore fracturing strength, computer equipment and storage medium |
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