CN109884105A - A method for determining the consumption volume of carbon interface in oxidizing environment of ceramic matrix composites - Google Patents
A method for determining the consumption volume of carbon interface in oxidizing environment of ceramic matrix composites Download PDFInfo
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Abstract
本发明公开了一种陶瓷基复合材料氧化环境碳界面消耗体积确定方法，具体为：统计材料横截面纤维总根数，测量界面平均厚度、纤维平均直径，获取基体裂纹个数及之间的间距，及材料两个端面与邻近裂纹之间的距离，并从小到大排序；将横截面上的纤维分为独立纤维、单点接触纤维、两点接触纤维及多点接触纤维，统计相应类型纤维的个数；计算每种类型纤维外侧碳界面的面积，及材料含有的碳质量分数；计算材料在不同氧化时刻下的界面消耗长度；比较界面消耗长度与基体裂纹间距的1/2、材料两个端面与邻近裂纹之间距离的1/2的大小关系，得到碳界面消耗的总长度，最后计算得到界面消耗体积。本发明可以准确给出材料氧化一定时间后碳界面消耗体积及其分布情况。
The invention discloses a method for determining the consumption volume of a carbon interface in an oxidizing environment of a ceramic matrix composite material. , and the distance between the two end faces of the material and the adjacent cracks, and sorted from small to large; the fibers on the cross section are divided into independent fibers, single-point contact fibers, two-point contact fibers and multi-point contact fibers, and the corresponding types of fibers are counted Calculate the area of the carbon interface on the outer side of each type of fiber, and the carbon mass fraction contained in the material; calculate the interface consumption length of the material at different oxidation times; The size relationship of 1/2 of the distance between the end face and the adjacent crack, the total length of carbon interface consumption is obtained, and finally the interface consumption volume is calculated. The invention can accurately give the consumption volume and distribution of the carbon interface after the material is oxidized for a certain period of time.
Description
Technical field
The present invention relates to a kind of ceramic matric composite oxidation environment carbon interface consumption volumes to determine method, and in particular to one
Carbon interface consumption volume determines method under the unidirectional fiber reinforced carbon/silicon carbide ceramic matrix composite oxidation environment of silicon carbide of kind.
Background technique
Silicon carbide fibre ceramics of silicon carbide toughened based composites (Continuous silicon carbide fiber
Reinforced silicon carbide composites, hereinafter referred to as SiC/SiC) high temperature resistant, low-density, Gao Biqiang,
The excellent properties such as Gao Bimo become irreplaceable one of the high temperature structural material of aerospace field, are widely applied
In aerospace engine thermal end pieces, the round-trip heat-protection system of aerospace, high speed brake, gas turbine hot-end component, high temperature
Gas filtration and heat exchanger etc., operating ambient temperature is high, and the medium of generally existing oxidisability such as oxygen.Component material packet
Silicon carbide fibre, carbon interface and silicon carbide substrate are included, since the thermal expansion coefficient between matrix and fiber, interface mismatches,
There are many micro-cracks on matrix after preparation, these micro-cracks can become the flow channel of oxide isolation, so as to cause oxidation
Medium enters composite inner, oxidative attack carbon interface.The oxidation consumption at carbon interface connects SiC fiber and matrix directly
Touching, mutual frictional resistance increase, while material internal stress being caused to be concentrated, and easily cause material under load effect
Brittle fracture.
Unidirectional SiC/SiC material internal carbon interface consumption volume and distribution are quickly and effectively calculated, can be taken for material
Intensity, life appraisal during labour provide important theoretical foundation, and provide indispensable technology branch for reliability of material design
Support.Currently, there are mainly two types of for the material internal carbon interface SiC/SiC consumption volume unidirectional for determination and the technology of distribution:
Document " Oxidation Mechanisms and Kinetics of 1D-SiC/C/SiC Composite
Materials:I,An Experimental Approach.Journal of the American Ceramic Society,
1994,77 (2): 459-66 " discloses a kind of by the interface consumption in an oxidizing environment of the unidirectional SiC/C/SiC material of experiment test
The test method of volume, difference of this method based on pyrolytic carbon and SiC fiber, matrix conductive performance, when by aoxidizing different
Between after material carry out resistance test, measure the consumption volume at interface.But this method only considers vertical fibers direction cross-section
The oxidation at interface, does not consider influence of the presence to interface oxidation of matrix micro-cracks, therefore does not conform to the actual conditions.On the other hand, material
A large amount of losses of the preparation, test process of material on time, human and material resources, limit experimental method answering in design of material
With.
Patent CN103093063B " the unidirectional fiber reinforced carbon/silicon carbide ceramic matrix composite damage of silicon carbide in oxidation environment
Detection method " based on average crack spacing it is assumed that the representative volume element containing a Crack, fiber is chosen, using oxygen
Change kinetics equation and calculate consumption length in carbon interface at matrix cracking, but this method does not account for the initial micro-crack distribution of material
Inhomogeneities influence that interface oxidation is consumed, do not account for the shadow that plurality of fibers contacts with each other to interface oxidation consumption yet
Ring, thus can not Accurate Prediction interface consumption volume unidirectional SiC/SiC material internal distribution.
Therefore, it is necessary to provide it is a kind of it is simple and effective, can Accurate Prediction interface consumption volume in unidirectional SiC/SiC material
The method of inside distribution.
Summary of the invention
The technical problems to be solved by the present invention are: providing a kind of ceramic matric composite oxidation environment carbon interface consumer
Product determine method, solve it is of the existing technology can not Accurate Prediction go out unidirectional SiC/SiC composite material in oxidation environment
Under interface consumer integrate cloth the problem of.
The present invention uses following technical scheme to solve above-mentioned technical problem:
A kind of ceramic matric composite oxidation environment carbon interface consumption volume determines method, includes the following steps:
Step 1, the volume and quality of ceramic matric composite are obtained, and the density of material is calculated；
Step 2, the total radical of fiber is counted in the cross section of machine direction according to material, calculates the average thickness at carbon interface
And average fibre diameter；
Step 3, according to whether contact with each other between the fiber on material cross-section and contact point number, by material cross
Fiber on section is divided into individual fibers, single-contact fiber, two-point contact fiber and Multi-contact fiber, and counts respective class
The number of fiber type；
Step 4, between the average thickness, average fibre diameter and fiber based on carbon interface contact point number, calculate
The area at carbon interface on the outside of each type fiber, and further calculate the carbon mass fraction that material contains；
Step 5, the matrix cracking number a of outer surface, the distance between measurement adjacent base crackle and material are obtained
Material at a distance from two cross sections of machine direction are between premature crackle, total a+1 distance, by above-mentioned distance from it is small to
Big sequence, using minimum range as the 1st distance, maximum distance is as the a+1 distance；
Step 6, it is based on oxidation kinetics equation, calculates the carbon interface consumption length r that material is inscribed in different oxidationsc；
Step 7, carbon interface is consumed into length rcAcquire distance with step 5 1/2 is compared: working as rc< minimum range/2
When, it is l that carbon interface, which consumes total length,c_c=(2a+2) rc；Work as rcWhen >=maximum distance/2, carbon interface consumes total length lc_cFor step
The rapid 5 all sum of the distance acquired；Work as rcIn certain two distance 1/2 between when, i.e.,X=1 ..., a, lc_c(2a+2-2x) is added equal to the 1st to x-th sum of the distance
rc；
Step 8, total length is consumed based on the gross area at carbon interface on material cross-section and carbon interface, material oxygen is calculated
Carbon interface consumption volume and its regularity of distribution during change.
As a preferred solution of the present invention, the average thickness at carbon interface described in step 2, calculation formula are as follows:
Wherein, e is the average thickness at carbon interface, and n is the total radical of fiber, eiExpression randomly selects the 1/ of the total radical of fiber
The carbon interfacial thickness of i-th fiber peripheral in 100.
As a preferred solution of the present invention, average fibre diameter described in step 2, calculation formula are as follows:
Wherein, dfFor average fibre diameter, n is the total radical of fiber, dfiIt indicates to randomly select in the 1/100 of the total radical of fiber
The diameter of i-th fiber.
As a preferred solution of the present invention, on the outside of fiber described in step 4 carbon interface area, calculation formula are as follows:
Wherein, ScjThere are the area at carbon interface on the outside of the fiber of j contact point between other fibers, j=0,1 ...,
The number of q, q the Maximum Contact point between fiber, rfFor fiber mean radius, e is the average thickness at carbon interface.
As a preferred solution of the present invention, carbon interface described in step 6 consumes length rc, calculation formula are as follows:
Wherein, k0For the Oxidation Rate Constants of Antioxidants at carbon interface, EaFor the oxidation reaction activation energy at carbon interface, R is general gas
Body constant, T are environment temperature,For the oxygen partial pressure in environment, McFor the molal weight at carbon interface, ρcFor the close of carbon interface
Degree, t is oxidation time.
The invention adopts the above technical scheme compared with prior art, has following technical effect that
1, the present invention considers actual distribution of the fiber in unidirectional SiC/SiC composite material to the shadow of carbon interface content
It rings, while considering oxygen and enter from material perpendicular to two endfaces of fiber and the oxidation at carbon interface, oxygen are split from matrix
Enter oxidation to material internal interface at line, can accurately provide material oxidation after a certain period of time carbon interface consumption volume and
Its distribution situation.
2, the whole process that the present invention calculates is succinctly efficient, overcomes the shortcomings that experimental method is at high cost, time-consuming.
Detailed description of the invention
Fig. 1 is unidirectional SiC/SiC composite material geometrical model schematic diagram containing more matrix crackings of the embodiment of the present invention.
Fig. 2 is material section fiber contacts type schematic diagram.
Fig. 3 is single-contact fiber interface area schematic diagram.
Fig. 4 is single fiber ambient interfaces consumption length computation flow chart.
Fig. 5 is that carbon interface consumer accumulates distribution schematic diagram under different situations, wherein (a) is(b) it is(c) it is(d) it is(e) it is
Fig. 6 is that unidirectional SiC/SiC material does not consider matrix cracking model prediction result, considers more matrix cracking distribution simulations
As a result with the correlation curve of experimental test result.
Specific embodiment
Embodiments of the present invention are described below in detail, the example of the embodiment is shown in the accompanying drawings.Below by
The embodiment being described with reference to the drawings is exemplary, and for explaining only the invention, and is not construed as limiting the claims.
A kind of unidirectional SiC/SiC composite material oxidation environment interface consumption volume of the present invention determines method, including walks as follows
It is rapid:
(1) unidirectional SiC/SiC composite sample is polishing to smooth in two sections of machine direction, and measures material
Size in all directions calculates the volume of material, and using the quality of high-precision mass sensor measurement material；
Unidirectional SiC/SiC composite sample is rectangular parallelepiped structure, and length, width and height are respectively l, w, h, then the volume of material
Vcomp=l*w*h.
(2) material after polishing is put into scanning electron microscope (SEM), material cross-section is shot, counted
The total radical of fiber measures average value, the average fibre diameter of interfacial thickness；
The total radical n of fiber to the fiber circular section in material section by being counted to obtain；
Interface average thickness e is 1/100 by randomly selecting the total radical n of fiber, to the boundary layer of these fiber peripherals
Thickness measures, and is then averaged to obtain, it may be assumed that
In formula, eiIndicate the interfacial layer thickness of i-th fiber peripheral.
Average fibre diameter dfAnd 1/100 by randomly selecting the total radical n of fiber, the diameter of these fibers is carried out
Measurement, is then averaged to obtain, it may be assumed that
In formula, dfiIndicate the diameter of i-th fiber.
Outer surface matrix micro-cracks number a counts to obtain by shooting cuboid surface of test piece, matrix cracking spacing
lc, the distance between two end faces of material and premature crackle dcTape measure is carried by SEM to obtain.
(3) according to whether contacting with each other between fiber in material cross-section SEM photograph and the number of contact point, by material
Fiber on cross section is divided into individual fibers, single-contact fiber, two-point contact fiber and Multi-contact fiber, and counts corresponding
The number of types of fibers；
The number q of Maximum Contact point between fiber is counted by material section SEM photograph first, is then determined fine with other
There is no the fiber number v of contact point between dimension0, there are the fiber of 1 contact point (single-contact fiber) number v1, with other fibres
There are the fiber of 2 contact points (two-point contact fiber) number v between dimension2, there are the fibres of q contact point between other fibers
Tie up (two-point contact fiber) number vq, then have:
N=v0+v1+v2+...+vq (3)
(4) between average thickness and fiber based on interface contact point number, calculate every kind of fiber on the outside of carbon interface
Area, and further calculate the carbon mass fraction that material contains；
The area S at individual fibers outer surface carbon interfacec0Are as follows:
Sc0=π [(rf+e)2-rf 2] (4)
In formula, rfIndicate fiber mean radius.
There are the area S at the fibrous outer surfaces carbon interface of j contact point between other fiberscjAre as follows:
Then gross area S in interface on material cross-sectioncAre as follows:
Sc=v0Sc0+v1Sc1+...+vjScj+...+vqScq (6)
In formula, ScqThere are the carbon interfacial areas of the fibrous outer surfaces of q contact point between other fibers.
The mass fraction ω at carbon interfacecIt may be expressed as:
In formula, ρcIndicate the density at carbon interface, ρcompIndicate the density of composite material, VfIndicate fiber volume fraction, it can
To pass through area S shared by fiber on measurement material cross-section SEM photographfIt calculates:
(5) obtain outer surface matrix micro-cracks number and between spacing, two end faces of one step surveying material of going forward side by side
The distance between premature crackle, by the distance between matrix cracking spacing, two end faces of material and premature crackle
It sorts from small to large；
Matrix cracking number is a, matrix cracking spacing lc, the distance between two end faces of material and premature crackle dc,
Then have:
lc1+lc2+...+lca-1+dc1+dca=l (9)
In formula, lc1Indicate number first spacing between Article 2 matrix cracking from left to right, lca-1It indicates from left past
Right several the a-1 articles spacing between a articles matrix cracking, dc1It indicates between material left end face and first matrix cracking
Distance, dcaIndicate the distance between a articles matrix cracking and material right end face.
(6) it is based on oxidation kinetics equation, calculates the interface consumption length that material is inscribed in different oxidations；
Interface consumes length rcAre as follows:
In formula, k0It is the Oxidation Rate Constants of Antioxidants at carbon interface, EaIt is the oxidation reaction activation energy at carbon interface, R is general
Gas constant, T are environment temperatures,It is the oxygen partial pressure in environment, McIt is the molal weight at carbon interface, when t is oxidation reaction
Between.
(7) compare the interface consumption length and matrix cracking spacing that are calculated 1/2, two end faces of material and neighbouring base
1/2 size relation of distance between body crackle, will sort from small to large between them；If interface, which consumes length, is more than or equal to base
The 1/2 of body crack spacing, then consumption length in interface is equal to the 1/2 of matrix cracking spacing, and as the growth of time no longer changes；
If interface consumes 1/2 that length is less than matrix cracking spacing, interface consumes length and is equal to calculated value, and with the growth of time
And increase；Similarly, if the interface consumption length being calculated is more than or equal between two end faces of material and premature crackle
The 1/2 of distance, then interface consumption length be equal between two end faces of material and premature crackle distance 1/2, and with when
Between growth no longer change；If the interface consumption length being calculated is less than the spacing of material two end faces and premature crackle
From 1/2, then consumption length in interface is equal to calculated value, and increases with the growth of time；
(8) based on interface cross-sectional area and consumption length, be calculated the interface consumption volume during material oxidation and
Its regularity of distribution；
Interface consumes volume VCIt may be expressed as:
VC=nlc_cSc (11)
In formula, lc_cThe total length consumed for carbon interface around single fiber.
For the unidirectional SiC/C/SiC composite material in 700 DEG C, 100KPa pure oxygen environment, it is calculated not
With oxidation moment carbon interface consumption volume and its distribution situation.
(1) unidirectional SiC/SiC composite sample is polishing to smooth in two sections of machine direction, and measures material
Size in all directions is respectively l=13mm, w=3mm, h=3mm, as shown in Figure 1, calculating the volume V of materialcomp
=l*w*h=117mm3, the quality m of material is obtained using high-precision mass sensor measurementcompFor 0.29835g；
(2) material after polishing is put into scanning electron microscope (SEM), material cross-section is shot, counted
The total radical of fiber be n=24570, randomly select 245 fibers, measure its ambient interfaces thickness average value be e=0.1 μm,
Average fibre diameter is df=14 μm；
(3) in the present embodiment, fiber volume fraction VfIt may be expressed as:
In the present embodiment, the density p of materialcompIt may be expressed as:
(3) according to whether contacting with each other between fiber in material cross-section SEM photograph and the number of contact point, by material
Fiber on cross section is divided into individual fibers, single-contact fiber, two-point contact fiber and Multi-contact fiber, as shown in Fig. 2,
Wherein individual fibers be 3292, single-contact fiber 7567, two-point contact fiber 5848, three point contact fiber 3882
Root, four point contact fibers 2359, five point contact fibers 1278, six point contact fibers 344；
(4) between average thickness and fiber based on interface contact point number, calculate every kind of fiber on the outside of carbon interface
Area, and further calculate the carbon mass fraction that material contains；
In the present embodiment, the area S at individual fibers outer surface carbon interfacec0Are as follows:
Sc0=π [(rf+e)2-rf 2]=4.4274 μm2 (14)
Therefore, the area S at all individual fibers outer surface carbon interfacesc_indAre as follows:
Sc_ind=3292 × 4.4274=14575.0008um2 (15)
In the present embodiment, the area S at single-contact fibrous outer surfaces carbon interfacec1Are as follows:
In formula,As shown in figure 3, therefore, Sc1=4.3090 μm2, outside all single-contact fibers
The area S at surface carbon interfacec_1Are as follows:
Sc_1=7567 × 4.3090=32606.203 μm2 (17)
Similarly, the area S at two-point contact fibrous outer surfaces carbon interfacec2Are as follows:
Therefore, Sc2=4.1906 μm2, the area S at all two-point contact fibrous outer surfaces carbon interfacesc_2Are as follows:
Sc_2=5848 × 4.1906=24506.6288 μm2 (19)
Similarly, the area S at three point contact fibrous outer surfaces carbon interfacec3=4.0722 μm2, outside all two-point contact fibers
The area S at surface carbon interfacec_3Are as follows:
Sc_3=3882 × 4.0722=15808.2804 μm2 (20)
Similarly, the area S at four point contact fibrous outer surfaces carbon interfacesc4=3.9538 μm2, outside all four point contacts fibers
The area S at surface carbon interfacec_4Are as follows:
Sc_4=2359 × 3.9538=9327.0142 μm2 (21)
Similarly, the area S at five point contact fibrous outer surfaces carbon interfacesc5=3.8354 μm2, outside all five point contacts fibers
The area S at surface carbon interfacec_5Are as follows:
Sc_5=1278 × 3.8354=4901.6412 μm2 (22)
Similarly, the area S at six point contact fibrous outer surfaces carbon interfacesc6=3.717 μm2, outside all five point contacts fibers
The area S at surface carbon interfacec_6Are as follows:
Sc_6=344 × 3.717=1278.648 μm2 (23)
Therefore, the gross area S at carbon interfacecIt may be expressed as:
Sc=Sc_ind+Sc_1+Sc_2+...+Sc_6=0.103mm2 (24)
In the present embodiment, the mass fraction ω of carboncIt may be expressed as:
(5) obtaining the initial micro-crack number of outer surface matrix is a=3, and matrix cracking is sorted from left to right, matrix
Crack spacing is respectively lc1=7mm, lc2=3mm, go forward side by side between two end faces of one step surveying material and premature crackle away from
From respectively dc1=2mm, dc3=1mm, as shown in Figure 1, by matrix cracking spacing, two end faces of material and premature crackle
The distance between sort from small to large；
In the present embodiment, two end faces of the spacing between 3 matrix crackings and material and premature crackle it
Between distance-taxis are as follows:
dc3< dc1< lc2< lc1 (26)
(6) it is based on oxidation kinetics equation, calculates the interface consumption length that material is inscribed in different oxidations；
In the present embodiment, k0It is the Oxidation Rate Constants of Antioxidants at carbon interface, k0=1070, EaIt is the oxidation at carbon interface
Reaction activity, Ea=123000J/mol, R are universal gas constants, and R=8.3145J/mol.K, T are environment temperature, T=
973.15KIt is the oxygen partial pressure in environment,McIt is the molal weight at carbon interface, Mc=12g/mol, t
It is oxidation time, interface consumes length rcAre as follows:
(7) compare the interface consumption length and matrix cracking spacing that are calculated 1/2, two end faces of material and neighbouring base
1/2 size relation of distance between body crackle, will sort from small to large between them；If interface, which consumes length, is more than or equal to base
The 1/2 of body crack spacing, then consumption length in interface is equal to the 1/2 of matrix cracking spacing, and as the growth of time no longer changes；
If interface consumes 1/2 that length is less than matrix cracking spacing, interface consumes length and is equal to calculated value, and with the growth of time
And increase；Similarly, if the interface consumption length being calculated is more than or equal between two end faces of material and premature crackle
The 1/2 of distance, then interface consumption length be equal between two end faces of material and premature crackle distance 1/2, and with when
Between growth no longer change；If the interface consumption length being calculated is less than the spacing of material two end faces and premature crackle
From 1/2, then consumption length in interface is equal to calculated value, and increases with the growth of time；
In the present embodiment, length r is consumed for interfacecWith matrix cracking spacing lc, two end faces of material and neighbouring base
Distance d between body cracklecBetween judgement process, as shown in figure 4, wherein around single fiber carbon interface consume total length table
It is shown as lc_c。
(8) based on interface cross-sectional area and consumption length, be calculated the interface consumption volume during material oxidation and
Its regularity of distribution.
In the present embodiment, length r is consumed according to interface under different momentscWith matrix cracking spacing lc, material two end
Distance d between face and premature cracklecBetween size relation, can judge single fiber ambient interfaces consumption volume
Distribution, is illustrated, as shown in (a) of Fig. 5, (b), (c), (d), (e) herein by taking individual fibers as an example.
In the present embodiment, the consumption volume changing rule at carbon interface is characterized with the mass loss rate of material, Fig. 6 is aobvious
Show that the mass loss rate of unidirectional SiC/SiC composite material changes over time curve, matrix cracking model is not considered by comparison
With the more matrix cracking models of consideration, it can be seen that the knot of the prediction model simulation proposed by the present invention for considering more matrix crackings distributions
Fruit and experimental test result are coincide preferable.
The above examples only illustrate the technical idea of the present invention, and this does not limit the scope of protection of the present invention, all
According to the technical idea provided by the invention, any changes made on the basis of the technical scheme each falls within the scope of the present invention
Within.
Claims (5)
1. a kind of ceramic matric composite oxidation environment carbon interface consumption volume determines method, which is characterized in that including walking as follows
It is rapid:
Step 1, the volume and quality of ceramic matric composite are obtained, and the density of material is calculated；
Step 2, the total radical of fiber is counted in the cross section of machine direction according to material, calculates the average thickness and fibre at carbon interface
Tie up average diameter；
Step 3, according to whether contacting with each other between the fiber on material cross-section and the number of contact point, by material cross-section
On fiber be divided into individual fibers, single-contact fiber, two-point contact fiber and Multi-contact fiber, and count respective type fibre
The number of dimension；
Step 4, between the average thickness, average fibre diameter and fiber based on carbon interface contact point number, calculate every kind
The area at carbon interface on the outside of types of fibers, and further calculate the carbon mass fraction that material contains；
Step 5, the matrix cracking number a of outer surface is obtained, the distance between measurement adjacent base crackle and material exist
The distance between two cross sections of machine direction and premature crackle, total a+1 distance arrange above-mentioned distance from small to large
Sequence, using minimum range as the 1st distance, maximum distance is as the a+1 distance；
Step 6, it is based on oxidation kinetics equation, calculates the carbon interface consumption length r that material is inscribed in different oxidationsc；
Step 7, carbon interface is consumed into length rcAcquire distance with step 5 1/2 is compared: working as rcWhen < minimum range/2, carbon
It is l that interface, which consumes total length,c_c=(2a+2) rc；Work as rcWhen >=maximum distance/2, carbon interface consumes total length lc_cIt is asked for step 5
All sum of the distance obtained；Work as rcIn certain two distance 1/2 between when, i.e.,
X=1 ..., a, lc_c(2a+2-2x) r is added equal to the 1st to x-th sum of the distancec；
Step 8, total length is consumed based on the gross area at carbon interface on material cross-section and carbon interface, material oxidation mistake is calculated
Carbon interface consumption volume and its regularity of distribution in journey.
2. consumption volume in ceramic matric composite oxidation environment carbon interface determines that method, feature exist according to claim 1
In the average thickness at carbon interface, calculation formula described in step 2 are as follows:
Wherein, e is the average thickness at carbon interface, and n is the total radical of fiber, eiIt indicates to randomly select the in the 1/100 of the total radical of fiber
The carbon interfacial thickness of i root fiber peripheral.
3. consumption volume in ceramic matric composite oxidation environment carbon interface determines that method, feature exist according to claim 1
In, average fibre diameter described in step 2, calculation formula are as follows:
Wherein, dfFor average fibre diameter, n is the total radical of fiber, dfiIt indicates to randomly select i-th in the 1/100 of the total radical of fiber
The diameter of root fiber.
4. consumption volume in ceramic matric composite oxidation environment carbon interface determines that method, feature exist according to claim 1
In the area at carbon interface, calculation formula on the outside of fiber described in step 4 are as follows:
Wherein, ScjThere are the area at carbon interface on the outside of the fiber of j contact point, j=0,1 ..., q, q between other fibers
The number of Maximum Contact point, r between fiberfFor fiber mean radius, e is the average thickness at carbon interface.
5. consumption volume in ceramic matric composite oxidation environment carbon interface determines that method, feature exist according to claim 1
In carbon interface described in step 6 consumes length rc, calculation formula are as follows:
Wherein, k0For the Oxidation Rate Constants of Antioxidants at carbon interface, EaFor the oxidation reaction activation energy at carbon interface, R is that argoshield is normal
Number, T is environment temperature,For the oxygen partial pressure in environment, McFor the molal weight at carbon interface, ρcFor the density at carbon interface, t is
Oxidation time.
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| CN110864976A (en) * | 2019-12-02 | 2020-03-06 | 南京航空航天大学 | A method for observing the depletion length of the stress-oxidation interface of ceramic matrix composites |
| CN111755082A (en) * | 2020-05-29 | 2020-10-09 | 南京航空航天大学 | A method for predicting internal corrosion morphology of SiC/PyC/SiC composites in high temperature and humid oxygen environment |
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| CN111755082B (en) * | 2020-05-29 | 2024-04-12 | 南京航空航天大学 | Method for predicting internal corrosion morphology of SiC/PyC/SiC composite material in high-temperature wet oxygen environment |
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