CN106653099B - Fatigue life analysis and judgment method for fusion reactor divertor - Google Patents
Fatigue life analysis and judgment method for fusion reactor divertor Download PDFInfo
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Abstract
The invention discloses a fatigue life analysis and judgment method of a fusion reactor divertor, which converts complex load borne by the divertor in a service environment into a temperature and stress time change process; adopting a rain flow counting method to carry out a series of cyclic counting sections on the irregular stress course; for each counting section, the elastic stress range can be obtained according to the result of numerical analysis, and then the stress result of finite element elastic analysis is converted into the total cyclic strain range of the counting section through a stress-strain analysis formula; and quantifying the fatigue damage of different stress levels according to the cyclic strain fatigue life curve of the material, and then obtaining the fatigue damage value corresponding to each cycle of each counting section in the stress course. The method can evaluate the result of a given service environment, can give related protective measures and maintenance suggestions or improve suggestions to the design of the divertor, and enables the evaluation result to be more objective and real service engineering practice.
Description
Technical Field
The invention relates to the technical field of divertors of nuclear fusion devices, in particular to a fatigue life analysis and judgment method of a divertor of a fusion reactor.
Background
The divertor serves as one of the most central internal components of the nuclear fusion device, its primary function being to exclude high heat and particle flows from the plasma. In a fusion reactor, the evaluation of the reliability of the divertor performance and the damage or failure thereof in the service environment can provide very important reference information for the safe operation and maintenance of the device.
Currently, the study of divertor performance is mainly focused on three aspects: (1) high heat load test experiments. The service performance of the divertor under high heat load can be effectively obtained through testing the experimental piece; meanwhile, the divertor module after the experiment is analyzed, so that the behaviors of surface melting and crack generation and expansion in the material can be researched. However, due to the limitations of laboratory instruments and equipment, most of these tests are based on steady state thermal loading (e.g., 10 MW/m)2、20MW/m2Etc.) and tests for extremely high transient heat loads are rarely reported. On the other hand, the high test experiment cost and the long experiment period make it difficult to obtain enough experimental data samples of different types of diverters. (2) And (3) researching the failure of a divertor in the service of the fusion device. The method can truly reflect the plasma dischargeThe service performance of the divertor under the impurity working condition, but due to the limitation of the capability of the fusion device, the divertor can not carry out the experimental study under the high power matched with the fusion reactor. (3) And (4) performing numerical simulation calculation and analysis. The service performance of the divertor is evaluated according to the operating temperature and stress evaluation standard of the divertor material by analyzing the load borne by the divertor under the service working condition, and then simulating and calculating the thermal and structural response of the divertor by using finite element software. The current criteria are mostly based on ASME criteria. And the evaluation aiming at no different load superposition effect or no consideration of time accumulation effect generally cannot comprehensively evaluate the response and the service life of the divertor under the service condition.
Disclosure of Invention
The invention aims to make up for the defects of the prior art and provides a fatigue life analysis and judgment method for a divertor of a fusion reactor.
The invention is realized by the following technical scheme:
a fatigue life analysis and judgment method for a divertor of a fusion reactor comprises the following steps: converting the complex load borne by the divertor in the service environment into the temperature and stress time history of the component material by using finite element software; converting the irregular stress time history into a series of cyclic counting sections by using a rain flow counting method; for each counting section, the elastic stress range can be obtained according to the result of numerical analysis, and then the stress result of finite element elastic analysis is converted into the total cyclic strain range of the counting section through a stress-strain analysis formula; quantifying the fatigue damage of each counting section under the stress level according to the cyclic strain fatigue life curve of the material, and then obtaining fatigue damage values corresponding to single cycle of all different stress levels in the stress course; and adding all stress levels contained in the process of any part of the divertor and fatigue damage values obtained by corresponding cycle times by utilizing a Miner linear superposition rule to obtain a total fatigue damage value of the position in the service process, thereby carrying out reasonable fatigue life analysis and judgment on the service environment of the divertor.
The stress-strain analysis formula converts the stress result of finite element elastic analysis into a circulating strain range, and the specific method is as follows:
converting the temperature and stress time change history calculated by finite elements into a series of cyclic counting sections by a rain flow counting method to obtain the maximum stress of materials in different counting sections and corresponding temperatures, and obtaining a total cyclic strain range according to analysis and calculation for an elastic stress range obtained by numerical simulation of any counting section;
in the formula,
for the total cyclic strain range, the strain is,
in order to be within the range of cyclic elastic strain,
in order to achieve a primary stress cycle plastic strain range,
in order to be in the local plastic strain range,
the strain range is corrected for poisson's ratio.
Quantifying the fatigue damage of the stress level corresponding to different cycle counting sections according to the cyclic strain fatigue life curve of the material, and obtaining the maximum cycle number N of fatigue failure under the stress level by utilizing the cyclic strain fatigue life curve of the material according to the total strain change range under the given stress level obtained by calculationfAnd obtaining the fatigue damage value of a single cycle under the stress level by utilizing the reciprocal of the stress level.
Counting the number N of cycles each stress level goes throughiAnd obtaining the clothes by adopting Miner linear superposition ruleTotal fatigue damage value in the service process.
Analyzing and judging the fatigue life of the whole structure of the divertor, adopting a plurality of materials in the structure of the divertor, and respectively setting different total fatigue damage thresholds D for different positions and materialsciWhen the fatigue damage value of any part of the divertor reaches a set threshold value, the divertor is considered to have fatigue damage; the used fatigue life and the residual fatigue life of the divertor in service can be obtained according to the analysis result; analyzing the main factors of the divertor failure in the service environment and the total fatigue life; reasonable maintenance measures are provided in combination with engineering practice or improvement suggestions are made on the design of diverters.
The invention has the advantages that: the method can evaluate the result of a given service environment, obtain the main factors of fatigue failure of the divertor in the service environment according to the different positions of the divertor and the setting and analysis of the material safety threshold, and can give related protective measures and maintenance suggestions or put forward improvement suggestions to the design of the divertor, so that the evaluation result can be more objective and real service engineering practice.
Drawings
FIG. 1 is a flow chart of a fatigue life analysis and evaluation method of a divertor of a fusion reactor provided by the invention.
FIG. 2 is a schematic diagram of stress time history, wherein sections 2-2 'and 3-3' are typical sections for rain flow counting.
Fig. 3 is a schematic diagram of a counting process by a rain flow counting method.
FIG. 4 is a drawing showing
And
schematic, where 1 is the σ -curve and 2 is the Neuber hyperbola.
Detailed Description
As shown in fig. 1, the fatigue analysis and evaluation method for the divertor of the fusion reactor of the embodiment of the present invention comprises the following steps:
step 1: according to the complex load borne by the divertor in the service environment, a temperature and stress distribution cloud chart is obtained by adopting finite element software simulation calculation, so that the temperature and stress time change history corresponding to each position of the divertor can be obtained.
Step 2: and converting the calculated stress time change course into a series of cycle counting sections by a rain flow counting method.
Step 3: and converting the stress result of the finite element elastic analysis into a cyclic strain range by using the maximum elastic stress of different parts of the divertor obtained by the analysis in different counting sections and the corresponding temperature at the position through a calculation formula.
Step 4: and quantifying the fatigue damage under the stress levels corresponding to different cycle counting sections according to the cyclic strain fatigue life curve of the material.
Step 5: and obtaining the total fatigue damage value in the service process through a Miner linear damage superposition rule.
Step 6: and calculating the total fatigue damage value corresponding to each key position of the divertor by using the steps 2 to 5. Then respectively setting different total fatigue damage thresholds D for different positions and materialsciWhen the fatigue damage value of any part of the divertor reaches a set threshold value, the occurrence of fatigue damage is considered.
1. Finite element simulation calculation, concrete implementation method
And simplifying the divertor into the load applied in the finite element software according to the service environment of the divertor. And simulating and calculating temperature distribution by using a thermal analysis module, guiding a temperature distribution result into a structural analysis module, and obtaining stress distribution by adopting elastic analysis. According to the time evolution process of the load, the temperature and stress time change process corresponding to each position of the divertor can be obtained.
2. Implementation of rain flow counting method
It is assumed that the stress time history of a position of the divertor in a service environment is shown in fig. 2. The simplified rain flow counting method is as follows:
1) a typical counting section (maximum peak or valley start and stop) suitable for rain flow counting is selected in the stress time history. Such as 2-2 '(maximum peak start and stop) or 3-3' segments (maximum valley start and stop) in fig. 2.
2) The selected stress time history curve was placed 90 ° clockwise rotated as shown in fig. 3. Considering the stress history as a roof, it is assumed that raindrops flow down the largest peak or valley. Without roof support, the raindrops reverse direction to the end point. In fig. 3, raindrops start at a, flow along AB, land on the CD segment after reaching point B, continue to flow to D, then flow in reverse along DE to E, land on the FG segment, then land again on the KA' segment, and flow to the end of the entire course.
3) The maximum peak and valley values of the raindrops flowing through are recorded as a cycle, and the first cycle is ADA'.
4) The portion where the raindrops flow is deleted from the stress time history, and a mirror point B' is generated at a corresponding position for a position where the raindrops directly fall, such as a point B. The above process is then repeated for the remaining history segments until there is no remaining history. As shown in fig. 3, the second rain flow is a BCB ', EFE', and GHG 'cycle, and the third JKJ' cycle. And (6) finishing counting.
3. Method for calculating total strain range
The structural response analysis used is an elastic analysis, which does not contain a portion of plastic strain, and does not reflect the true behavior of the material. The cyclic strain range of any counting segment obtained by rain flow counting can be calculated by the following formula:
1)
for cyclic elastic strain range
This value reflects the elastic response of the material, the physical meaning of which is shown in figure 4. In practical analysis, the corresponding total stress variation range in each cycle can be directly obtained according to a rain flow counting method
And (4) calculating.
In the formula
In the formula
V: a poisson ratio;
e: modulus of elasticity;
p: primary stress;
q: secondary stress;
f: peak stress.
2)
The plastic strain range is a primary stress cycle
This value reflects the range of plastic strain induced in the cycle by the primary stress, and is shown in fig. 4. Can be calculated by the following formula:
In the formula
Pm: integral primary film stress
Pb: bending stress;
PL: topical primary filmStress;
3)
Is a local plastic strain range
This value reflects the range of cyclic plastic strain due to local stress concentrations, and is shown in figure 4. Is calculated by the formula
In the formula
K: a strain concentration coefficient;
in the actual calculation, the reason is that
Can be ignored, can be seen from FIG. 4
The value of (b) is corresponding to the point d in the figure
The value is obtained. As can be seen from the theory of Neuber,
is constant, so can be based on
And corresponding thereto
Multiplying the constants to obtain the corresponding Neuber hyperbola. Therefore, the intersection d of the Neuber's hyperbola and the σ -curve can be directly obtained
The value of (c).
4)
Correcting strain range for Poisson's ratio
This value reflects the strain range due to poisson's ratio correction required for fatigue life analysis using the elasticity analysis result, and can be calculated by the following equation using the property parameters of the material.
Kv: poisson's ratio correction factor.
4. Quantification of fatigue damage
After the total strain range corresponding to the maximum stress range level in different cycle counting sections is obtained through calculation, the fatigue damage of the material under the stress level can be quantified by utilizing the cycle strain fatigue life curve of the material. The fatigue damage value for a single cycle at this stress level was calculated using the following formula.
d＝1/Nf
Wherein,
Nfthe maximum number of cycles of fatigue failure of the material in the corresponding strain range.
5. Fatigue damage worth stacking
Counting the number of cycles experienced by each counting section obtained by a rain flow counting method, and then utilizing and adopting a Miner linear superposition rule
The total fatigue damage value in the service course can be obtained.
6. Divertor fatigue life analysis and judgment
Claims (4)
1. A fatigue life analysis and judgment method for a divertor of a fusion reactor is characterized by comprising the following steps: the method comprises the following steps: converting the complex load borne by the divertor in the service environment into the temperature and stress time history of the component material by using finite element software; converting the irregular stress time history into a series of cyclic counting sections by using a rain flow counting method; for each counting section, obtaining the elastic stress range of the counting section according to the result of the numerical analysis, and converting the stress result of the finite element elastic analysis into the total cyclic strain range of the counting section by a stress-strain analysis formula; quantifying the fatigue damage of each counting section under the stress level according to the cyclic strain fatigue life curve of the material, and then obtaining fatigue damage values corresponding to single cycles of all different stress levels in the stress course; adding all stress levels contained in the process of any part of the divertor and fatigue damage values obtained by corresponding cycle times by using a Miner linear superposition rule to obtain a total fatigue damage value of the position in the service process, thereby carrying out reasonable fatigue life analysis and judgment on the service environment of the divertor;
the stress-strain analysis formula converts the stress result of finite element elastic analysis into a circulating strain range, and the specific method is as follows:
converting the temperature and stress time change history calculated by finite elements into a series of cyclic counting sections by a rain flow counting method to obtain the maximum stress of materials in different counting sections and corresponding temperatures, and for any counting section, obtaining an elastic stress range obtained by numerical simulation according to analysis and calculation to obtain a total cyclic strain range;
in the formula,
for the total cyclic strain range, the strain is,
in order to be within the range of cyclic elastic strain,
in order to achieve a primary stress cycle plastic strain range,
in order to be in the local plastic strain range,
correcting the strain range for the Poisson ratio;
1)
for cyclic elastic strain range
The value reflects the elastic response of the material, and in practical analysis, the corresponding total stress change range in each cycle is obtained according to a rain flow counting method
The calculation is carried out according to the calculation,
In the formula
V: a poisson ratio;
e: modulus of elasticity;
p: primary stress;
q: secondary stress;
f: peak stress;
2)
the plastic strain range is a primary stress cycle
This value reflects the range of plastic strain induced in the cycle by the primary stress, calculated by the following equation:
In the formula
Pm: integral primary film stress
Pb: bending stress;
PL: local primary film stress;
3)
is a local plastic strain range
The value reflects the range of cyclic plastic strain caused by local stress concentration, and the calculation formula is
In the formula
K: a strain concentration coefficient;
in the actual calculation, the reason is that
Can be ignored to obtain
Has a value of
The values, as can be seen by Neuber's theory,
is constant, so is based on
And corresponding thereto
Multiplying the constants to obtain a corresponding Neuber hyperbola, and determining the intersection d of the Neuber hyperbola and the sigma-curve
A value of (d);
4)
correcting strain range for Poisson's ratio
This value reflects the strain range resulting from the poisson's ratio correction required to perform fatigue life analysis using the elasticity analysis results, calculated using the material's property parameters by the following formula:
Kv: poisson's ratio correction factor.
2. The fatigue life analysis and judgment method of the divertor of a fusion reactor of claim 1, wherein: quantifying the fatigue damage of the stress level corresponding to different cycle counting sections according to the cyclic strain fatigue life curve of the material, and obtaining the maximum cycle number N of fatigue failure under the stress level by utilizing the cyclic strain fatigue life curve of the material according to the total strain change range under the given stress level obtained by calculationfAnd obtaining the fatigue damage value of a single cycle under the stress level by utilizing the reciprocal of the stress level.
3. The fatigue life analysis and judgment method of the divertor of a fusion reactor of claim 1, wherein: counting the number N of cycles each stress level goes throughiAnd then obtaining the total fatigue damage value in the service process by adopting a Miner linear superposition rule.
4. The fatigue life analysis and judgment method of the divertor of a fusion reactor of claim 1, wherein: analyzing and judging the fatigue life of the whole structure of the divertor, adopting a plurality of materials in the structure of the divertor, and respectively setting different total fatigue damage thresholds D for different positions and materialsciWhen the fatigue damage value of any part of the divertor reaches a set threshold value, the divertor is determined to beFatigue damage occurs; the used fatigue life and the residual fatigue life of the divertor in service can be obtained according to the analysis result; analyzing the main factors of the divertor failure in the service environment and the total fatigue life; and calculating the corresponding fatigue damage degree by combining the actual service condition of the divertor in the device, and providing a reasonable basis for setting the maintenance period of the divertor.
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| CN111312414B (en) * | 2019-12-03 | 2022-05-31 | 上海核工程研究设计院有限公司 | Fatigue evaluation method of nuclear power plant fatigue monitoring and life evaluation system |
| CN111222272A (en) * | 2020-01-03 | 2020-06-02 | 华北电力大学 | Design method of thermal shock resistant fast reactor plug central column coating layer structure |
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| CN102767133A (en) * | 2011-05-06 | 2012-11-07 | 东南大学 | Arranging method of sensor for detecting fatigue stress of steel box girder bridge |
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