CN106871826B - Zirconium diboride-composite material of silicon carbide oxide layer NONLINEAR EVOLUTION calculation method - Google Patents

Zirconium diboride-composite material of silicon carbide oxide layer NONLINEAR EVOLUTION calculation method Download PDF

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CN106871826B
CN106871826B CN201611163068.7A CN201611163068A CN106871826B CN 106871826 B CN106871826 B CN 106871826B CN 201611163068 A CN201611163068 A CN 201611163068A CN 106871826 B CN106871826 B CN 106871826B
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oxide layer
layer
oxidation
layer thickness
oxidated
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CN106871826A (en
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罗晓光
邓代英
张赢
俞继军
陈思员
艾邦成
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China Academy of Aerospace Aerodynamics CAAA
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B15/00Measuring arrangements characterised by the use of electromagnetic waves or particle radiation, e.g. by the use of microwaves, X-rays, gamma rays or electrons
    • G01B15/02Measuring arrangements characterised by the use of electromagnetic waves or particle radiation, e.g. by the use of microwaves, X-rays, gamma rays or electrons for measuring thickness
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/02Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness
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Abstract

Zirconium diboride-composite material of silicon carbide oxide layer NONLINEAR EVOLUTION calculation method, the isothermal oxidation that (1) carries out no less than 3 soaking time sections to zirconium diboride-composite material of silicon carbide laboratory sample are tested;(2) post-processing acquisition section or cross section structure, kept dry will be cooled to room temperature to laboratory sample simultaneously prevents oxide layer from falling off;(3) the oxide layer layered structure in laboratory sample section or section is determined;(4) thickness of each oxidation stratification is measured;(5) differential equation group that oxidated layer thickness develops at any time is established according to the difference of oxide layer structure respectively;(6) differential equation group is solved, the calculated value of oxidated layer thickness is obtained;(7) by changing characteristic ginseng value, iterate to calculate the theoretical value of each layer oxidated layer thickness, iterative calculation is respectively less than designated precision up to the absolute value of the bias of all experiment oxidated layer thickness and calculating oxidated layer thickness, determines therefrom that the equation group characteristic parameter for meeting required precision;(8) fixed differential equation group characteristic parameter solves oxidated layer thickness under different temperatures, any oxidization time and quantifies development law.

Description

Zirconium diboride-composite material of silicon carbide oxide layer NONLINEAR EVOLUTION calculation method
Technical field
The invention belongs to high temperature heat insulation material and aircraft heat protection design fields, and in particular to zirconium diboride-silicon carbide Ultrahigh temperature ceramic composite oxide layer NONLINEAR EVOLUTION calculation method.
Background technique
Zirconium diboride-silicon carbide ultrahigh temperature ceramic composite be mainly used for hypersonic aircraft nose cone, wing rudder leading edge, The thermal protection of the high temperature positions such as scramjet engine combustion chamber supporting plate.Due to relationship high temperature heat insulation material and aircraft thermal protection The flight safety of system, oxidated layer thickness of the zirconium diboride-composite material of silicon carbide under high temperature aerobic environment develops and property It can predict and appraisal procedure is the key technology of its Engineering Oriented application.
Oxidated layer thickness calculation method main base of the existing zirconium diboride-composite material of silicon carbide under high temperature aerobic environment In two classical assumptions, first is that DIFFUSION CONTROLLED MODEL of the oxygen in oxide layer, obtained oxidated layer thickness and oxidization time are in throwing Object winding pattern, i.e. oxidated layer thickness are directly proportional to the evolution of oxidization time;First is that oxidated layer thickness is by Chemical Kinetics Controlling model, obtained oxidated layer thickness and the linear increasing law of oxidization time, i.e., oxidated layer thickness and oxidization time at Direct ratio.The calculation method has two when predicting oxide layer structure and its thickness evolution rule, first is that finding in experiment Oxidated layer thickness often appears as exponential type or power type with the increasing law of oxidization time, deviates existing computation model description Parabolic type and linear rule;Second is that calculation method can not embody the multilayer oxide layer Structure Phenomenon observed in experiment, meter It calculates model and deviates physics reality.
Summary of the invention
The object of the present invention is to overcome the deficiencies of the prior art and provide a kind of for calculating zirconium diboride-silicon carbide superelevation The method of warm ceramic composite oxide layer NONLINEAR EVOLUTION.
The technical solution of the invention is as follows: zirconium diboride-composite material of silicon carbide oxide layer NONLINEAR EVOLUTION calculating side Method, comprising the following steps:
(1) isothermal oxidation of no less than 3 soaking time sections is carried out to zirconium diboride-composite material of silicon carbide laboratory sample Experiment;Step (2)-(4) processing is carried out respectively to the experiment sample after each oxidation after experiment:
(2) section or cross section structure of laboratory sample after post-processing is aoxidized will be cooled to room temperature after laboratory sample, Kept dry simultaneously prevents oxide layer from falling off;
(3) the oxide layer layered structure for determining laboratory sample section or section is then watch crystal if 2 layers of structure Phase layer and subsurface oxide;It is then watch crystal phase layer, subsurface oxide layer and silicon carbide actively aoxidize if 3-tier architecture Exhaust porous layer;
(4) sample obtained through step (2) is placed and is seen under scanning electron microscope or high resolution light microscope It examines, the structure type of oxide layer is determined according to step (3), measures the thickness of each oxidation stratification;
(5) differential equation group that oxidated layer thickness develops at any time is established according to the difference of oxide layer structure respectively;
(6) primary condition and characteristic parameter initial value of differential equation group are determined, differential equation group is solved, obtains oxidation thickness The calculated value of degree;The characteristic parameter includes the dynamics Controlling oxide layer growth parameter K of oxide layer ii, diffusion control Oxide layer growth parameter hi, oxide layer non-linear growth function AiIn unknown parameter;I=1,2 or 1,2,3;I=1 represents surface Oxide layer, i=2 represent subsurface oxide layer, and i=3 represents silicon carbide, and actively oxidation exhausts porous layer;
(7) by changing characteristic ginseng value, the theoretical value of each layer oxidated layer thickness is iterated to calculate, iterative calculation is until all Experiment oxidated layer thickness and the absolute value of the bias for calculating oxidated layer thickness are respectively less than designated precision, determine therefrom that and meet required precision Equation group characteristic parameter;
(8) fixed differential equation group characteristic parameter solves oxidated layer thickness under different temperatures, any oxidization time and quantitatively drills Become rule.
The differential equation group concrete form that 2 layers of structure oxidated layer thickness develop at any time are as follows:
Wherein, T is temperature, and t is time, L1(T, t) is surface oxide layer theoretic throat, L2(T, t) is subsurface oxide layer Theoretic throat.
The differential equation group concrete form that 3-tier architecture oxidated layer thickness develops at any time are as follows:
Wherein, T is temperature, and t is time, L1(T, t) is surface oxide layer theoretic throat, L2(T, t) is subsurface oxide layer Theoretic throat, L3(T, t) is that actively oxidation exhausts porous layer theoretic throat to silicon carbide.
The AiFor the non-linear described function that oxide layer increases, concrete form includes the power function of oxidization time, refers to Function and polynomial function are counted, both can choose identical between the different equations of same differential equation group or can choose different Nonlinear function form.
Iterative calculation is specified up to the absolute value of the bias of all experiment oxidated layer thickness and calculating oxidated layer thickness is respectively less than Precision, specific implementation are that available following formula differentiates:
Wherein, error is the iterative calculation precision of setting.
Laboratory sample be processed into disk perhaps square piece shape using Muffle furnace or thermogravimetric analyzer isothermal oxidation.
Laboratory sample is handled before scanning electron microscopy measurement through surface metal spraying after oxidation.
The principle of the present invention is: the growth governing factor of oxide layer being attributed to three principal elements, first is that receptor 1 activity oxygen Governing factor is spread in medium condensed state oxide layer, second is that being controlled by Chemical Kinetics between oxide layer and original material layer Factor is corrected third is that aoxidizing nonlinear effect caused by initial stage uncertainty.It can establish quality based on above-mentioned hypothesis Conservation and continuity ordinary differential system obtain theoretical calculation oxide layer using unified ordinary differential system method for solving and develop Data, several discrete oxidated layer thickness data that comparison different time isothermal oxidation obtains, are become based on fitting or optimization method Change differential equation group iterative parameter, until acquisition meets the result of computational accuracy and acquisition has the feature iteration of clear physical significance Parameter end value.Obtain ablation velocity of the multicomponent heat insulation material under Aerodynamic Heating environment.
The present invention has the advantages that
(1) present invention is suitable for the parabola shaped oxide layer increasing law that oxidation rate is controlled by oxygen in oxide layer diffusion, It is also applied for being controlled the non-linear oxide layer increasing law under non-oxygen diffusion control oxidizing condition by interface reaction kinetics.The party Method fit characteristic parameter physical significance is clear, and calculation method is easy, and can be directed to any zirconium diboride and silicon carbide ratios group Point, any oxidizing temperature and oxidizing atmosphere, be zirconium diboride/silicon carbide superhigh temperature ceramics oxidative damage and oxidated layer thickness design The reliable method of calculating can significantly reduce the workload of pure experimental fit method.
(2) computation model in the present invention has unified diffusion control and reaction interface chemistry in the oxide layer in classical model Dynamics Controlling Model can both describe oxidated layer thickness with parabolic type and the linear increase rule of oxidization time, for non- Linear increase rule can also capture well.
(3) the oxide layer evolution ordinary differential system in the present invention is modeled based on zirconium diboride-silicon carbide oxidation mechanism, Extracted characteristic parameter has specific physical significance, and the feature physical parameter obtained after iterative calculation is used directly for it Oxidated layer thickness under its oxidation environment calculates.
(4) computation model of the invention and porcess system are not only suitable for zirconium diboride-composite material of silicon carbide, to other Oxidation resistant carbon compound, boride, silicide and alloy material also there is good adaptability.
Detailed description of the invention
Fig. 1 fundamental analysis process of the present invention;
Fig. 2 a, 2b are respectively typical 2 layers and 3 layers of oxide layer institutional framework scanning electron microscope (SEM) photograph;
Fig. 3 a-d is ZrB2- 20vol.%SiC theoretical calculation oxidated layer thickness and experimental result compare, specifically respectively 3a For the comparison of surface oxidation thickness, 3b is the comparison of subsurface oxide thickness, and 3c is that silicon carbide exhausts porous layer thickness comparison, and 3d is total Oxidated layer thickness comparison.
Specific embodiment
Fundamental analysis flow chart shown in FIG. 1, specific implementation process of the invention are as follows:
(1) ZrB is chosen2The hot pressed sintering zirconium diboride of -20vol.%SiC component-silicon carbide superhigh temperature ceramics composite wood Sample is processed the rectangular sheet laboratory sample of 20 × 10 × 5 (length × width × heights), laboratory sample is put into Muffle furnace, set by material Oxidizing temperature is 1700 DEG C, and air dielectric prepares 9 samples, and points 3 groups, every group of oxidation soaking time is respectively 10 minutes, 30 Minute and 50 minutes;
(2) after the completion of isothermal oxidation experiment, taking-up is cooled to room temperature to laboratory sample and is added using diamond cutter machinery The cross section structure of laboratory sample after the method for work or the method for electric machining are aoxidized, kept dry simultaneously prevent oxide layer It falls off, it may be necessary to be fixed oxide layer using glue or resin;
(3) by the resin solidification sample metal spraying prepared processing, it is respectively put into scanning electron microscope observation, according to oxidation The difference of temperature and atmosphere, can be observed zirconium diboride-silicon carbide sample section or section oxide layer is divided into 2 layers or 3 layers Structure;2 layers of structure are made of watch crystal phase layer, subsurface oxide and matrix original material layer;3-tier architecture is by watch crystal Actively oxidation exhausts porous layer and matrix original material layer composition for phase layer, subsurface oxide layer, silicon carbide;Typical 2 layers and 3 layers Oxidation structure is shown in Fig. 2 a, 2b;Wherein 2 layers of oxidation structure, being averaged after oxide layer is presented in 3 prints after ten minutes for 1700 DEG C of oxidations Measured value are as follows: first layer is with a thickness of 12 μm, and the second layer is with a thickness of 16 μm, and third layer is with a thickness of 0.00 μm;1700 DEG C aoxidize 30 points 2 layers of oxidation structure, the average measurement value after oxide layer is presented in 3 prints after clock are as follows: first layer is with a thickness of 26 μm, second layer thickness It is 34 μm, third layer is with a thickness of 0.00 μm;1700 DEG C of 3 prints after oxidation 50 minutes are presented 3 layers of oxidation structure, after oxide layer Average measurement value are as follows: first layer is with a thickness of 91 μm, and the second layer is with a thickness of 60 μm, and third layer is with a thickness of 39 μm;Reality is obtained after arrangement Test oxidated layer thickness value are as follows:
(4) 3-tier architecture ordinary differential system is selected:
(5) primary condition of differential equation group is determined, T=1700 DEG C of temperature, three initial time condition t=10min, 30min and 50min.
(6) it determines characteristic parameter initial value, the initial value of iterative characteristic parameter is taken to be respectively as follows:
h1=900 μm of min-1, K1=900 μm2·min-1, m1=150 μm of min-1, n1=0.03min-1
h2=5000 μm of min-1, K2=5000 μm2·min-1, m2=300 μm of min-1, n2=0.03min-1
h3=500 μm of min-1, K3=500 μm2·min-1, m3=100 μm of min-1, n3=0.003min-1
(7) differential equation group is solved using Runge-Kutta method, differential equation group feature is changed based on conjugate gradient method Parameter iteration calculates the theoretical value of oxidated layer thickness, and the error of iterative calculation is set as 5 μm, iterates to calculate through 10 steps and obtains oxygen Change the calculated value of thickness degree are as follows:
MeetConvergence;
(8) the iterative characteristic parameter value that acquisition meets computational accuracy requirement is respectively as follows:
h1=900.93 μm of min-1, K1=950.75 μm2·min-1, m1=190.51 μm of min-1, n1= 0.0685min-1
h2=5925.90 μm of min-1, K2=5525.16 μm2·min-1, m2=363.64 μm of min-1, n2= 0.0322min-1
h3=600.90 μm of min-1, K3=500.16 μm2·min-1, m3=-92.32 μm of min-1, n3= 0.0005min-1;It brings differential equation group into, the indicatrix of different oxidization times at 1700 DEG C can be obtained, Fig. 3 a-d gives The full curve of calculating and the comparison diagram of experiment measured value, solid line are the calculated results, and brilliant discrete data is experiment knot Fruit, the comparison from figure is as can be seen that theoretical identical preferable with experimental result.
The present invention is not disclosed technology and belongs to common sense well known to those skilled in the art.

Claims (7)

1. zirconium diboride-composite material of silicon carbide oxide layer NONLINEAR EVOLUTION calculation method, it is characterised in that the following steps are included:
(1) the isothermal oxidation reality of no less than 3 soaking time sections is carried out to zirconium diboride-composite material of silicon carbide laboratory sample It tests;Step (2)-(4) processing is carried out respectively to the experiment sample after each oxidation after experiment:
(2) section or cross section structure of laboratory sample after post-processing is aoxidized will be cooled to room temperature after laboratory sample, it is dry It saves and prevents oxide layer from falling off;
(3) the oxide layer layered structure for determining laboratory sample section or section is then watch crystal phase layer if 2 layers of structure With subsurface oxide;It is then watch crystal phase layer, actively oxidation exhausts for subsurface oxide layer and silicon carbide if 3-tier architecture Porous layer;
(4) sample obtained through step (2) is placed and is observed under scanning electron microscope or high resolution light microscope, according to The structure type that oxide layer is determined according to step (3), measures the thickness of each oxidation stratification;
(5) differential equation group that oxidated layer thickness develops at any time is established according to the difference of oxide layer structure respectively;
(6) primary condition and characteristic parameter initial value of differential equation group are determined, differential equation group is solved, obtains oxidated layer thickness Calculated value;The characteristic parameter includes the dynamics Controlling oxide layer growth parameter K of oxide layer ii, diffusion control oxidation Layer growth parameter hi, oxide layer non-linear growth function AiIn unknown parameter;I=1,2 or 1,2,3;I=1 represents surface oxidation Layer, i=2 represent subsurface oxide layer, and i=3 represents silicon carbide, and actively oxidation exhausts porous layer;
(7) by changing characteristic ginseng value, the theoretical value of each layer oxidated layer thickness is iterated to calculate, iterative calculation is until all experiments Oxidated layer thickness and the absolute value of the bias for calculating oxidated layer thickness are respectively less than designated precision, determine therefrom that the side for meeting required precision Journey group characteristic parameter;
(8) fixed differential equation group characteristic parameter solves oxidated layer thickness under different temperatures, any oxidization time and quantitatively develops rule Rule.
2. according to the method described in claim 1, it is characterized by: the differential side that 2 layers of structure oxidated layer thickness develops at any time Journey group concrete form are as follows:
Wherein, T is temperature, and t is time, L1(T, t) is surface oxide layer theoretic throat, L2(T, t) is that subsurface aoxidizes shelf theory Thickness.
3. according to the method described in claim 1, it is characterized by: the differential side that 3-tier architecture oxidated layer thickness develops at any time Journey group concrete form are as follows:
Wherein, T is temperature, and t is time, L1(T, t) is surface oxide layer theoretic throat, L2(T, t) is that subsurface aoxidizes shelf theory Thickness, L3(T, t) is that actively oxidation exhausts porous layer theoretic throat to silicon carbide.
4. according to the method described in claim 1, it is characterized by: the AiFor oxide layer increase non-linear described function, Concrete form includes power function, exponential function and the polynomial function of oxidization time, the different equations of same differential equation group it Between both can choose identical or can choose different nonlinear function forms.
5. according to the method described in claim 1, it is characterized by: iterative calculation is until all experiment oxidated layer thicknessWith calculating oxidated layer thickness LiThe absolute value of the bias of (T, t) is respectively less than designated precision, and specific implementation is to can be used to lower public affairs Formula differentiates:
Wherein, error is the iterative calculation precision of setting.
6. according to the method described in claim 1, using it is characterized by: laboratory sample is processed into disk or square piece shape Muffle furnace or thermogravimetric analyzer isothermal oxidation.
7. according to the method described in claim 1, it is characterized by: laboratory sample is before scanning electron microscopy measurement after oxidation It is handled through surface metal spraying.
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