CN110940572A - Creep life prediction method for high Cr ferrite heat-resistant steel - Google Patents
Creep life prediction method for high Cr ferrite heat-resistant steel Download PDFInfo
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Abstract
The invention provides a creep life prediction method of high Cr ferrite heat-resistant steel. The method is a creep life extrapolation method obtained by comprehensively analyzing constitutive models of high-Cr ferrite heat-resistant steel at different creep stages, and the specific form of a creep life extrapolation equation is as follows:t in the formula1And t2At any two different moments (t) in the creep process1<t2),ε′1And epsilon'2Is t1And t2Corresponding creep rate, A, n constant, tfTo predict creep life. The creep life can be obtained through a short-term constant load creep experiment, the creep behavior of a creep primary stage and an acceleration stage is fully considered, the prediction precision of the creep life under high temperature and low stress is high, and the excessive deviation of the creep life of the high Cr ferrite heat-resistant steel predicted by an empirical extrapolation method under high temperature and low stress is reduced。
Description
Technical Field
The invention belongs to the application of material science and engineering technology, and particularly relates to a creep life prediction method of ferrite heat-resistant steel.
Background
The supercritical thermal power generation technology is a clean coal-fired power generation technology, and improves the power generation efficiency by improving the steam parameters of thermal power generation so as to reduce the combustion of coal and the emission of greenhouse gases. To realize safe and reliable operation of an ultra (supercritical) unit under long-term high steam parameters, heat-resistant steel adaptive to the high parameters is used. The high Cr ferrite heat-resistant steel with chromium content of 9-12 wt% has high toughness, high creep resistance, high temperature oxidation resistance and high corrosion resistance, and is used as the material for the main equipment in thermal power plant. As the heat-resistant steel is in service at high temperature and high pressure for a long time, high-temperature creep deformation inevitably occurs. The high Cr ferrite heat-resistant steel belongs to a second phase reinforced material, the creep deformation curve of the high Cr ferrite heat-resistant steel does not have an obvious steady-state creep stage (the creep rate is kept constant within a certain time range), taking P92 ferrite heat-resistant steel as an example, the creep deformation characteristic of the high Cr ferrite heat-resistant steel is mainly represented by two obvious stages, namely, the creep rate is gradually reduced to reach the minimum creep rate in a primary creep stage; the second is the accelerated creep phase in which the creep rate gradually increases until creep rupture. Considering that the high-temperature creep rupture of the high-Cr ferrite heat-resistant steel directly influences the safe production and the normal operation of the ultra-supercritical thermal power plant. Therefore, reliable creep constitutive models and creep life prediction methods are needed to ensure the operational limits of safe service of components.
Over the last several decades, many creep life prediction methods have been proposed and used for long-range creep life prediction of heat resistant steels. The conventional creep life prediction technology is mainly based on a time-temperature parameter (TTP) method of a creep rupture test, and is widely adopted by related industries. However, the relationship between creep life and stress of high Cr ferritic heat-resistant steel is reversed in the low stress region, which directly leads to an excessive evaluation of the creep life in the low stress region extrapolated by the time-temperature parameter method. Creep life prediction has then gradually shifted to studies based on creep curves, such as the theta parameter method, the Omega parameter method, and the like. Although the methods overcome the defects of the traditional creep life prediction methods, the methods also have self defects, for example, a theta parameter method needs a large amount of creep rupture data under a constant stress condition to determine 16 parameters before predicting the life of a material; meanwhile, the determination of the parameters is also inaccurate due to the omission of the defects of the material; in addition, under the actual service condition of the heat-resistant steel, as the creep deformation of the material increases, the creep true stress of the material gradually increases, which makes the theta parameter method inconvenient for engineering application. The Omega parameter method only considers creep deformation in the third stage, neglects the influence of the primary creep stage, and directly leads to excessive evaluation of creep life. Therefore, from the practical perspective of engineering, a constitutive model is needed to accurately describe the creep curve of the heat-resistant steel at a certain temperature and under a constant load, and meanwhile, the influence of each creep stage needs to be fully considered in the creep life prediction method based on the constitutive model.
Disclosure of Invention
In order to solve the technical scheme, the invention aims to provide a novel creep life prediction method, which aims to accurately predict the high-temperature creep rupture life of high-Cr ferrite heat-resistant steel under different stresses by establishing a global creep constitutive model capable of accurately describing a creep curve.
The technical scheme of the invention is as follows: a creep life prediction method for high Cr ferrite heat-resistant steel is based on the constitutive model analysis of creep curves of a primary creep stage and an accelerated creep stage of the high Cr ferrite heat-resistant steel, and then a global creep constitutive model describing a creep rate-time relation curve is obtained by integrating constitutive models of the two stages, wherein epsilon' is At-n+ H/(1-Kt), where ε' is creep rate, t is creep time, A, n, H, K are model parameters, and finally extrapolation is performed through the global creep constitutive model to obtain an extrapolation equation for creep life prediction.
The method comprises the following specific implementation steps:
s1) the extrapolation equation of creep life of the high Cr ferritic heat-resistant steel is as follows:
in the formula: t is tfA, n is a constant for predicting creep life;
s2) obtaining at least 0-1/2t under certain conditions through a constant load creep testmA creep rate versus time curve over time;
s3) by the power function formula ∈ ═ At-nFitting elementaryThe partial curve of the creep phase obtains the values of the parameter A, n in the extrapolation equation;
s4) selecting any two time t on the short-term creep rate-time curve obtained in S2)1And t2And t is1<t2Get t1And t2Creep rate epsilon 'corresponding to moment'1And epsilon'2From creep rate ε'1And epsilon'2Substituting into the extrapolation equation (1) to obtain the predicted creep life tf。
Further, the condition parameters in S2) are: the temperature is 500 ℃ and 700 ℃, and the pressure is as follows: 30-200 MPa.
The short term creep rate-time curve is a curve of at least 0-1/2tm time.
Further, the power function formula ∈' in S3) is At-nε' in (a) represents creep rate, t represents creep time, A, n is equal to parameter A, n in the extrapolation equation.
Further, t in the S4)1Time t and2the interval selected at the moment is: 1/2tm<ti<tmAnd tm<ti<1/2tfTwo kinds, tmI is the time at which the minimum creep rate occurs, 1, 2.
A computer program for realizing the method for predicting the creep life of the high Cr ferrite heat-resistant steel.
An information processing terminal for realizing the creep life prediction method of the high Cr ferrite heat-resistant steel.
A computer-readable storage medium comprising instructions which, when executed on a computer, cause the computer to perform the creep life prediction method of high Cr ferritic heat-resistant steel described above.
The invention has the advantages that: by adopting the technical scheme, the method can accurately predict the creep life of the high Cr ferrite heat-resistant steel under different stress conditions through a short-term creep experiment, and effectively improves the prediction precision of the long-range creep life of the low stress area due to the full consideration of the influence of different stages of creep on the creep life.
Drawings
FIG. 1 is an example of a method employing the present invention: creep rate-time curve of P92 ferrite heat-resistant steel at 923K, 70-160 MPa.
FIG. 2 is a schematic diagram of A, n model parameter values obtained by power function fitting to a partial curve of the primary creep phase.
FIG. 3 is a graph showing the comparison between the actual creep life (RL) of P92 ferritic heat-resistant steel under different conditions and the creep life (PL) predicted by a constitutive model.
The specific implementation mode is as follows:
the following examples further illustrate the present invention so that those skilled in the art may better understand the advantages and features of the present invention.
The invention provides a creep life prediction method of high Cr ferrite heat-resistant steel, which is based on the constitutive model analysis of creep curves of a primary creep stage and an accelerated creep stage of the high Cr ferrite heat-resistant steel, and then obtains a global creep constitutive model describing a creep rate-time relation curve by integrating the constitutive models of the two stages, wherein epsilon' is At-n+ H/(1-Kt), where ε' is creep rate, t is creep time, A, n, H, K are model parameters, and finally extrapolation is performed through the global creep constitutive model to obtain an extrapolation equation for creep life prediction.
The method specifically comprises the following steps:
s1) the extrapolation equation of creep life of the high Cr ferritic heat-resistant steel is as follows:
in the formula: t is tfA, n is a constant for predicting creep life;
s2) obtaining at least 0-1/2t under certain conditions through a constant load creep testmA creep rate versus time curve over time;
s3) by the power function formula ∈ ═ At-nFitting a partial curve of the primary creep phase to obtain values of parameter A, n in the extrapolation equation;
s4) at S2) obtaining short-term creepAny two moments t are selected from the variable speed-time curve1And t2Get time t1And t2Creep rate epsilon 'corresponding to moment'1And epsilon'2And t is1<t2From creep rate ε'1And epsilon'2Substituting into the extrapolation equation (1) to obtain the predicted creep life tf。
The condition parameters in S2) are: the temperature is 500 ℃ and 700 ℃, and the pressure is as follows: 30-200 MPa.
The power function formula ∈' in S3) is At-nε' in (a) represents creep rate, t represents creep time, A, n is equal to parameter A, n in the extrapolation equation.
T in said S4)1Time t and2the interval selected at the moment is: 1/2tm<ti<tmAnd tm<ti<1/2tfTwo kinds, tmI is the time at which the minimum creep rate occurs, 1, 2.
A computer program for realizing the method for predicting the creep life of the high Cr ferrite heat-resistant steel.
An information processing terminal for realizing the creep life prediction method of the high Cr ferrite heat-resistant steel.
A computer-readable storage medium comprising instructions which, when executed on a computer, cause the computer to perform the creep life prediction method of high Cr ferritic heat-resistant steel described above.
Example (b):
p92 ferrite heat-resistant steel is taken as a research object, and a creep rate-time curve (shown in figure 1) of a sample at 923K and 70-160 MPa is obtained by using a uniaxial high-temperature creep testing machine. Then, the formula of power function is used to form epsilon ═ At-nThe values of model parameters A, n are obtained by fitting a partial curve (shown in FIG. 1) of the primary creep stage (the values of parameters A, n are shown in Table 1), and the method fully considers the instability of parameter determination caused by creep deformation, material defects and the like of the primary creep stage, so that the creep life prediction result is more accurate;
assuming any two are known in the creep processMoment t1、t2Creep rate of'1、ε′2(t1<t2) Two time-selected intervals 1/2tm<ti<tmAnd tm<ti<1/2tfTwo (t)mRepresenting the time at which the minimum creep rate occurs, i ═ 1,2), the determination of parameter A, n was obtained by fitting a partial curve of the primary creep phase, and the specific values of creep rate at any two chosen times are shown in table 1. In summary, the comparison of the predicted creep life (PL) and the actual creep life (RL) by the extrapolation equation is shown in FIG. 6, and it can be seen that any two times t1、t2Is selected in the interval tm<ti<1/2tf(i-1, 2) the predicted creep life is more accurate.
TABLE 1 specific values of parameter A, n and selected creep rates at any two times
The method for predicting creep life of high Cr ferritic heat-resistant steel provided in the embodiments of the present application is described in detail above. The above description of the embodiments is only for the purpose of helping to understand the method of the present application and its core ideas; meanwhile, for a person skilled in the art, according to the idea of the present application, there may be variations in the specific embodiments and the application scope, and in summary, the content of the present specification should not be construed as a limitation to the present application.
As used in this specification and the appended claims, certain terms are used to refer to particular components, and various names may be used by a manufacturer of hardware to refer to a same component. This specification and claims do not intend to distinguish between components that differ in name but not function. In the following description and in the claims, the terms "include" and "comprise" are used in an open-ended fashion, and thus should be interpreted to mean "include, but not limited to. "substantially" means within an acceptable error range, and a person skilled in the art can solve the technical problem within a certain error range to substantially achieve the technical effect. The description which follows is a preferred embodiment of the present application, but is made for the purpose of illustrating the general principles of the application and not for the purpose of limiting the scope of the application. The protection scope of the present application shall be subject to the definitions of the appended claims.
It is also noted that the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a good or system that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such good or system. Without further limitation, an element defined by the phrase "comprising an … …" does not exclude the presence of other like elements in a commodity or system that includes the element.
It should be understood that the term "and/or" as used herein is merely one type of association that describes an associated object, meaning that three relationships may exist, e.g., a and/or B may mean: a exists alone, A and B exist simultaneously, and B exists alone. In addition, the character "/" herein generally indicates that the former and latter related objects are in an "or" relationship.
The foregoing description shows and describes several preferred embodiments of the present application, but as aforementioned, it is to be understood that the application is not limited to the forms disclosed herein, but is not to be construed as excluding other embodiments and is capable of use in various other combinations, modifications, and environments and is capable of changes within the scope of the application as described herein, commensurate with the above teachings, or the skill or knowledge of the relevant art. And that modifications and variations may be effected by those skilled in the art without departing from the spirit and scope of the application, which is to be protected by the claims appended hereto.
Claims (8)
1. HeightThe creep life prediction method of Cr ferrite heat-resistant steel is characterized in that the method is based on the constitutive model analysis of creep curves of a primary creep stage and an accelerated creep stage of the high Cr ferrite heat-resistant steel, and then a global creep constitutive model describing a creep rate-time relation curve is obtained by integrating the constitutive models of the two stages, wherein epsilon' is At-n+ H/(1-Kt), where ε' is creep rate, t is creep time, A, n, H, K are model parameters, and finally extrapolation is performed through the global creep constitutive model to obtain an extrapolation equation for creep life prediction.
2. The method of claim 1, wherein the creep life of the high Cr ferritic heat-resistant steel is predicted by: the method specifically comprises the following steps:
s1) the extrapolation equation of creep life obtained by comprehensively analyzing the global creep constitutive model of the high Cr ferritic heat-resistant steel is as follows:
in the formula: t is tfA, n is a constant for predicting creep life;
s2) obtaining a short-term creep rate-time curve under certain conditions through a constant load creep experiment;
s3) by the power function formula ∈ ═ At-nFitting a partial curve of the primary creep phase to obtain values of parameter A, n in the extrapolation equation;
s4) selecting any two time t on the short-term creep rate-time curve obtained in S2)1And t2And t is1<t2Get t1And t2Creep rate epsilon 'corresponding to moment'1And epsilon'2From creep rate ε'1And epsilon'2Substituting into the extrapolation equation (1) to obtain the predicted creep life tf。
3. The method of claim 2, wherein the creep life of the high-Cr ferritic heat-resistant steel is predicted by: the condition parameters in S2) are: the temperature is 500 ℃ and 700 ℃, and the pressure is as follows: 30-200MPa, said short term creep rate-time curve being a curve of at least 0-1/2tm time.
4. The method of claim 2, wherein the creep life of the high-Cr ferritic heat-resistant steel is predicted by: the power function formula ∈' in S3) is At-nε' in (a) represents creep rate, t represents creep time, A, n is equal to parameter A, n in the extrapolation equation.
5. The method of claim 2, wherein the creep life of the high-Cr ferritic heat-resistant steel is predicted by: t in said S4)1Time t and2the interval selected at the moment is: 1/2tm<ti<tmAnd tm<ti<1/2tfTwo kinds, tmI is the time at which the minimum creep rate occurs, 1, 2.
6. A computer program for realizing a creep life prediction method of a high Cr ferritic heat-resistant steel according to any one of claims 1 to 5.
7. An information processing terminal for realizing the method for predicting creep life of high Cr ferritic heat-resistant steel according to any one of claims 1 to 5.
8. A computer-readable storage medium comprising instructions which, when executed on a computer, cause the computer to perform the creep life prediction method of a high Cr ferritic heat-resistant steel according to any one of claims 1 to 5.
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CN113252465A (en) * | 2021-05-20 | 2021-08-13 | 天津理工大学 | M-H method-based heat-resistant steel creep life prediction method |
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