CN117110021A - Unified acquisition method and system for material creep Norton law - Google Patents
Unified acquisition method and system for material creep Norton law Download PDFInfo
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- G—PHYSICS
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- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N3/08—Investigating strength properties of solid materials by application of mechanical stress by applying steady tensile or compressive forces
- G01N3/18—Performing tests at high or low temperatures
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N2203/0058—Kind of property studied
- G01N2203/0069—Fatigue, creep, strain-stress relations or elastic constants
- G01N2203/0071—Creep
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Abstract
The invention provides a unified acquisition method and a system of a material creep Norton law, and relates to the technical field of material creep performance test, wherein the method comprises the steps of processing and acquiring a creep small sample of a material; constructing a unified creep displacement-time relation; under the condition of constant load, adopting a creep deformation small sample to complete a material creep test, and obtaining a displacement-time curve of a material creep second stage; performing linear regression on the displacement-time curve to obtain the creep displacement change rate of the material under different load conditions; fitting to obtain Norton law parameters according to the unified displacement-time model and the creep displacement change rate of the material under different load conditions; the steady-state creep Norton law of the material is obtained according to the Norton law parameters, and the problem that creep small samples with different configurations are difficult to have unified, universal and accurate theoretical analysis description is solved.
Description
Technical Field
The specification relates to the technical field of material creep performance test, in particular to a unified acquisition method and system of a material creep Norton law.
Background
The mechanical property of the high-temperature service structural material is an important content of structural integrity evaluation and component service life estimation, and particularly for the interior pressure-bearing materials such as aeroengines, supercritical power station units, nuclear power devices and the like which are in long-term service in extremely high-temperature environments, the creep property research of the material is one of the important mechanical properties of the components in safe and stable operation under the high-temperature environments. Because the creep test of the traditional uniaxial material is limited by the sampling size, the creep performance of the material is difficult to evaluate for the material with small size, and therefore, the small sample test technology is more applied. The existing small sample test method generally establishes a corresponding empirical conversion model with a uniaxial material creep test by establishing an empirical conversion formula of material creep equivalent strain and equivalent stress, but the conversion factors are not unique, and the creep small samples of the materials with different configurations are difficult to have uniform, universal and accurate theoretical analysis description, so that the application range is small.
In order to solve the problems, a unified acquisition method of the Norton law of material creep is provided.
Disclosure of Invention
One or more embodiments of the present specification provide a method for unified acquisition of the Norton Law of material creep. The unified acquisition method of the material creep Norton law comprises the following steps: s1: processing to obtain a creep deformation small sample of the material; s2: constructing a unified displacement-time relation; s3: under the condition of constant load, the creep test of the material is completed by the creep test sample, and a displacement-time curve of the second stage of the material creep is obtained; s4: performing linear regression on the displacement-time curve to obtain the creep displacement change rate of the material under different load conditions; s5: fitting to obtain Norton law parameters according to the uniform displacement-time model and the creep displacement change rate of the material under different load conditions; s6: and obtaining the steady-state creep Norton law of the material according to the Norton law parameter.
One or more embodiments of the present specification provide a unified acquisition system of the Norton law of material creep, including a first acquisition module, a build module, a second acquisition module, a first determination module, a second determination module, and a third determination module: the first acquisition module is used for processing and acquiring a creep deformation small sample of a material; the construction module is used for constructing a unified displacement-time model; the second acquisition module is used for enabling the creep small sample to complete a material creep test under the condition of constant load to obtain a displacement-time curve of a material creep second stage; the first determining module is used for carrying out linear regression on the displacement-time curve to obtain the creep displacement change rate of the material under different load conditions; the second determining module is used for obtaining Norton law parameters through fitting according to the unified displacement-time model and the creep displacement change rate of the material under different load conditions; the third determination module is used for obtaining the steady-state creep Norton law of the material according to the Norton law parameters.
One or more embodiments of the present specification provide a computer-readable storage medium storing computer instructions that, when read by a computer in the storage medium, perform a method of uniformly acquiring the Norton Law of Material creep as described in any one of the above.
In some embodiments of the present description, a steady state creep Norton law of a material is obtained by constructing a unified creep displacement-time model, in combination with a displacement-time curve of a small sample of material creep. In this way, the steady-state creep Norton law of various materials can be obtained, the application range and sample types are wider, the empirical description and expression of the creep deformation of the materials are avoided, and more accurate results can be obtained by carrying out linear regression on the displacement-time curve of the creep small sample of the materials and fitting to obtain Norton law parameters.
Drawings
The present specification will be further elucidated by way of example embodiments, which will be described in detail by means of the accompanying drawings. The embodiments are not limiting, in which like numerals represent like structures, wherein:
FIG. 1 is a block diagram of a unified acquisition system of the Norton Law of material creep according to some embodiments of the present description;
FIG. 2 is an exemplary flow chart of a method for unified acquisition of the Norton Law of material creep according to some embodiments of the present description;
FIG. 3 is an exemplary schematic diagram of a planar pressed finite element analysis model according to some embodiments of the present description;
FIG. 4 is an exemplary schematic diagram of a cantilever finite element analysis model shown in accordance with some embodiments of the present description;
FIG. 5 is an exemplary schematic diagram of a torus compressed finite element analysis model according to some embodiments of the present description;
FIG. 6 is an exemplary schematic diagram of a small punch finite element analysis model shown in accordance with some embodiments of the present description;
FIG. 7 is an exemplary schematic diagram of test results compliance versus results for different types of creep specimens, according to some embodiments of the present description.
Detailed Description
In order to more clearly illustrate the technical solutions of the embodiments of the present specification, the drawings that are required to be used in the description of the embodiments will be briefly described below. It is apparent that the drawings in the following description are only some examples or embodiments of the present specification, and it is possible for those of ordinary skill in the art to apply the present specification to other similar situations according to the drawings without inventive effort. Unless otherwise apparent from the context of the language or otherwise specified, like reference numerals in the figures refer to like structures or operations.
It will be appreciated that "system," "apparatus," "unit" and/or "module" as used herein is one method for distinguishing between different components, elements, parts, portions or assemblies at different levels. However, if other words can achieve the same purpose, the words can be replaced by other expressions.
As used in this specification and the claims, the terms "a," "an," "the," and/or "the" are not specific to a singular, but may include a plurality, unless the context clearly dictates otherwise. In general, the terms "comprises" and "comprising" merely indicate that the steps and elements are explicitly identified, and they do not constitute an exclusive list, as other steps or elements may be included in a method or apparatus.
A flowchart is used in this specification to describe the operations performed by the system according to embodiments of the present specification. It should be appreciated that the preceding or following operations are not necessarily performed in order precisely. Rather, the steps may be processed in reverse order or simultaneously. Also, other operations may be added to or removed from these processes.
FIG. 1 is a block diagram of a unified acquisition system of the Norton Law of material creep according to some embodiments of the present description.
In some embodiments, the unified acquisition system 100 of the Norton Law of material creep includes a first acquisition module 110, a build module 120, a second acquisition module 130, a first determination module 140, a second determination module 150, and a third determination module 160.
A first acquisition module 110 for processing a creep reduction sample of the acquisition material. For more details on creep test coupons see FIG. 2 and its associated description.
A build module 120 is used to build a unified creep displacement-time model. For more details on the unified creep displacement-time model, see FIG. 2 and its associated description.
And the second acquisition module 130 is used for completing a material creep test by using the creep test sample under a constant load condition, and obtaining a displacement-time curve of a second stage of material creep. For more details on the displacement-time curve of the second stage of material creep, see fig. 2 and its associated description.
The first determining module 140 is configured to perform linear regression on the displacement-time curve to obtain the creep displacement change rate of the material under different load conditions. For more details on the rate of change of creep displacement of the material, see fig. 2 and its associated description.
A second determining module 150 is configured to obtain the Norton law parameter by fitting according to the unified displacement-time model and the material creep displacement change rates under different load conditions. For more details on Norton law parameters see fig. 2 and its associated description.
A third determination module 160 is configured to obtain a steady state creep Norton law of the material based on the Norton law parameter. For more details on the steady state creep Norton law of a material, see FIG. 2 and its associated description.
It should be noted that the above description of the unified acquisition system 100 and its modules of the Norton Law of material creep is for convenience of description only and is not intended to limit the present description to the scope of the illustrated embodiments. It will be appreciated by those skilled in the art that, given the principles of the system, various modules may be combined arbitrarily or a subsystem may be constructed in connection with other modules without departing from such principles. In some embodiments, the first acquisition module 110, the construction module 120, the second acquisition module 130, the first determination module 140, the second determination module 150, and the third determination module 160 disclosed in fig. 1 may be different modules in one system, or may be one module to implement the functions of two or more modules described above. For example, each module may share one memory module, or each module may have a respective memory module. Such variations are within the scope of the present description.
FIG. 2 is an exemplary flow chart of a method for unified acquisition of the Norton Law of material creep according to some embodiments of the present description. As shown in fig. 2, the process 200 includes the following steps. In some embodiments, the process 200 may be performed by a processor.
At step 210, a worker processes the material to obtain a creep reduction sample of the material.
The creep test sample of the material is a test sample of the pressure-bearing material in various environments. For example, small samples of material creep may include small punch samples, pressed samples, ring compressed samples, cantilever beam samples, and the like.
In some embodiments, the staff may obtain the corresponding small punch sample, the pressed sample, the ring compressed sample, the cantilever beam sample and other samples by processing the pressure-bearing materials inside the aero-engine, the supercritical power station unit, the nuclear power device and the like in industrial production.
At step 220, the processor builds a unified creep displacement-time model.
The unified creep displacement-time model is a relational expression for describing the change of the second stage displacement of the material creep with time.
In some embodiments, the processor may determine the unified creep displacement-time model by energy density median equivalent principle.
In some embodiments, the processor-constructed expression of the unified creep displacement-time model may be:
wherein h is material creep displacement, P is material creep load, t is material creep time, B and v are Norton law parameters, A * Is the characteristic area, h * Is the characteristic displacement.
The characteristic area is a parameter that describes the area of the sample in the model.
The characteristic displacement is a parameter for describing the displacement of the sample in the model.
In some embodiments, the processor may determine the characteristic area and characteristic displacement based on the sample configuration and loading pattern.
In some embodiments, the planar indentation finite element analysis model is shown in fig. 3, and the characteristic area of the planar indentation sample may be based on the formula: a is that * ＝πD 2 The feature displacement may be determined based on the formula:determining;
wherein D is the diameter of a plane pressure head, alpha 1 ＝1.1785，α 2 ＝1.2630，,α 1 And alpha 2 Can be determined based on a finite element method.
In some embodiments, the cantilever finite element analysis model is shown in fig. 4, and the characteristic area of the cantilever specimen may be based on the formula: a is that * ＝b 2 The determination of the characteristic displacement may be based on the formula:determining; wherein b is beam width, alpha 1 ＝β 1 λ+β 2 ，α 2 ＝β 3 ln(λ)+β 4 λ=l/b, L being the length of the beam, where β 1 ＝0.8803、β 2 ＝0.7742、β 3 = 1.0856 and β 4 ＝1.0257，β 1 、β 2 、β 3 And beta 4 Can be determined based on a finite element method.
In some embodiments, the ring compressed finite element analysis model is shown in fig. 5, and the characteristic area of the ring compressed sample may be based on the formula: a is that * ＝D 2 (1-λ 1 )λ 2 The determination of the characteristic displacement may be based on the formula:determining;
wherein lambda is 1 ＝d/D，λ 2 b/D, b is the ring width, D is the inner diameter, D is the ring diameter,
wherein beta is 1 ＝5.5978、β 2 ＝1.8275、β 3 = 3.0151 and β 4 ＝1.8081，β 1 、β 2 、β 3 And beta 4 Can be determined based on a finite element method.
In some embodiments, the small punch finite element analysis model is shown in fig. 6, and the characteristic area of the small punch sample may be based on the formula: a is that * ＝πD 2 The feature displacement may be determined based on the formula:determining;
where λ=b/D, b is the small punch sample thickness, D is the small punch ram diameter,
wherein beta is 1 ＝2.6275、β 2 ＝2.2060、β 3 = 1.0373 and β 4 ＝0.8570，β 1 、β 2 、β 3 And beta 4 Can be determined based on a finite element method.
In some embodiments of the present description, the processor determines the steady state creep Norton law by constructing a unified displacement-time model. In this way, the steady-state creep Norton law of various materials can be obtained, the application range is enlarged, and meanwhile, a mathematical model is used for replacing an empirical model, so that the prediction result can be more accurate.
And 230, the processor completes a material creep test by using the creep test sample under a constant load condition, and obtains a displacement-time curve of a second stage of material creep.
The constant load condition is a load size determined within a fixed range selected according to the sample size. For example, the larger the sample, the higher the upper and lower limits of the constant load zone selected; conversely, the lower the upper and lower limits.
The material creep test is based on an experimental device, a material creep small sample is positioned under a certain load condition, and material creep displacement data of the material creep small sample are collected.
The second phase of material creep is the target time phase for data acquisition.
In some embodiments, the processor may obtain a displacement-time curve of the second stage of material creep under constant load conditions through material creep experiments.
And 240, the processor carries out linear regression on the displacement-time curve to obtain the creep displacement change rate of the material under different load conditions.
The rate of change of the creep displacement of the material is a parameter reflecting the rate of change of the creep displacement of the material over time.
In some embodiments, the processor may obtain the material creep displacement change rate parameter by processing a plurality of displacement-time curves under a plurality of load conditions.
In some embodiments, the processorThe material creep displacement change rate can be obtained by linearly regressing the displacement-time curve through a material creep displacement change rate formula
In some embodiments, the processor may perform linear regression on a plurality of displacement-time curves under constant load conditions to obtain the material creep displacement change rate under the load conditions, and by changing the load size, obtain the corresponding material creep displacement change rate under different load conditions.
In some embodiments, the processor obtains the rate of change of creep displacement of the material by linearly regressing the displacement-time curve. In this way, the creep displacement change rate parameter of the material can be obtained efficiently and accurately.
And step 250, fitting to obtain Norton law parameters according to the unified displacement-time model and the creep displacement change rate of the material under different load conditions.
The Norton law parameter is a parameter that reflects the rate of change of creep strain of a material with stress magnitude.
In some embodiments, the processor may obtain the Norton law parameters by processing the rate of change of creep displacement of the material under different load conditions.
In some embodiments, the processor may determine the rate of change of the creep displacement of the material under different load conditions by inputting the Norton law parameter fitting equation:the Norton law parameters B and v are obtained.
In some embodiments, the processor may determine the Norton law parameters B and v by fitting the Norton law parameter fitting equation to the rates of change of the creep displacement of the material under different loading conditions.
In some embodiments, the processor obtains the Norton law parameters by fitting to the rate of change of the creep displacement of the material. In this way, the Norton law parameter value can be accurately obtained.
Step 260, the processor obtains a steady state creep Norton law of the material based on the Norton law parameter.
The material steady state creep Norton law is an equation reflecting the change of the creep strain rate of the material along with the stress, and is an inherent constitutive relation of the material.
In some embodiments, the processor may determine the steady state creep Norton law of the material from the obtained Norton law parameter values.
In some embodiments, the processor obtains the steady state creep Norton law of the material by inputting Norton law parameters into the Norton law that describe the constitutive relation of the creep of the material:
wherein,the creep strain rate, σ, is the stress.
In some embodiments, the processor may obtain the steady state creep Norton law for the material by taking the Norton law parameter values for the corresponding material into the Norton law equation.
In some embodiments, the processor may obtain more accurate creep Norton law parameters from different types of creep small samples by building a uniform creep displacement-time model, as shown in FIG. 7. For example, the Norton Law parameters obtained by uniaxial tensile creep test are: b=1.47×10 -12 V=2.26; the Norton law parameters obtained by the plane indentation creep test are: b=0.86×10 -12 V=2.36; the Norton law parameters obtained by cantilever Liang Rubian test are: b=1.32×10 -12 V=2.50; the Norton law parameters obtained by the ring creep test are: b=2.41×10 -12 V=2.40; the Norton law parameters obtained by the small punch creep test are: b=0.67×10 -12 、v＝2.75。
In some embodiments of the present description, the processor may determine a steady state creep Norton law by constructing a unified creep displacement-time model, fitting to a plurality of material creep displacement change rates of the creep in the small sample. In this way, the steady-state creep Norton law of various creep materials can be determined, and a wider application range is obtained; the data is processed by establishing a mathematical model, so that the calculation result is more accurate and more accords with the actual situation.
In some embodiments, a computer readable storage medium stores computer instructions that, when read by a computer in the storage medium, the computer can perform a method of obtaining a material creep Norton law parameter.
It should be noted that the above description of the process 200 is for illustration and description only, and is not intended to limit the scope of applicability of the present disclosure. Various modifications and changes to flow 200 will be apparent to those skilled in the art in light of the present description. However, such modifications and variations are still within the scope of the present description.
While the basic concepts have been described above, it will be apparent to those skilled in the art that the foregoing detailed disclosure is by way of example only and is not intended to be limiting. Although not explicitly described herein, various modifications, improvements, and adaptations to the present disclosure may occur to one skilled in the art. Such modifications, improvements, and modifications are intended to be suggested within this specification, and therefore, such modifications, improvements, and modifications are intended to be included within the spirit and scope of the exemplary embodiments of the present invention.
Meanwhile, the specification uses specific words to describe the embodiments of the specification. Reference to "one embodiment," "an embodiment," and/or "some embodiments" means that a particular feature, structure, or characteristic is associated with at least one embodiment of the present description. Thus, it should be emphasized and should be appreciated that two or more references to "an embodiment" or "one embodiment" or "an alternative embodiment" in various positions in this specification are not necessarily referring to the same embodiment. Furthermore, certain features, structures, or characteristics of one or more embodiments of the present description may be combined as suitable.
Furthermore, the order in which the elements and sequences are processed, the use of numerical letters, or other designations in the description are not intended to limit the order in which the processes and methods of the description are performed unless explicitly recited in the claims. While certain presently useful inventive embodiments have been discussed in the foregoing disclosure, by way of various examples, it is to be understood that such details are merely illustrative and that the appended claims are not limited to the disclosed embodiments, but, on the contrary, are intended to cover all modifications and equivalent arrangements included within the spirit and scope of the embodiments of the present disclosure. For example, while the system components described above may be implemented by hardware devices, they may also be implemented solely by software solutions, such as installing the described system on an existing server or mobile device.
Likewise, it should be noted that in order to simplify the presentation disclosed in this specification and thereby aid in understanding one or more inventive embodiments, various features are sometimes grouped together in a single embodiment, figure, or description thereof. This method of disclosure, however, is not intended to imply that more features than are presented in the claims are required for the present description. Indeed, less than all of the features of a single embodiment disclosed above.
In some embodiments, numbers describing the components, number of attributes are used, it being understood that such numbers being used in the description of embodiments are modified in some examples by the modifier "about," approximately, "or" substantially. Unless otherwise indicated, "about," "approximately," or "substantially" indicate that the number allows for a 20% variation. Accordingly, in some embodiments, numerical parameters set forth in the specification and claims are approximations that may vary depending upon the desired properties sought to be obtained by the individual embodiments. In some embodiments, the numerical parameters should take into account the specified significant digits and employ a method for preserving the general number of digits. Although the numerical ranges and parameters set forth herein are approximations that may be employed in some embodiments to confirm the breadth of the range, in particular embodiments, the setting of such numerical values is as precise as possible.
Each patent, patent application publication, and other material, such as articles, books, specifications, publications, documents, etc., referred to in this specification is incorporated herein by reference in its entirety. Except for application history documents that are inconsistent or conflicting with the content of this specification, documents that are currently or later attached to this specification in which the broadest scope of the claims to this specification is limited are also. It is noted that, if the description, definition, and/or use of a term in an attached material in this specification does not conform to or conflict with what is described in this specification, the description, definition, and/or use of the term in this specification controls.
Finally, it should be understood that the embodiments described in this specification are merely illustrative of the principles of the embodiments of this specification. Other variations are possible within the scope of this description. Thus, by way of example, and not limitation, alternative configurations of embodiments of the present specification may be considered as consistent with the teachings of the present specification. Accordingly, the embodiments of the present specification are not limited to only the embodiments explicitly described and depicted in the present specification.
Claims (7)
1. A method for unified acquisition of material creep Norton law, comprising:
s1: processing to obtain a creep deformation small sample of the material;
s2: constructing a unified creep displacement-time model;
s3: under the condition of constant load, completing a material creep test by adopting the creep small sample to obtain a displacement-time curve of a material creep second stage;
s4: performing linear regression on the displacement-time curve to obtain the creep displacement change rate of the material under different load conditions;
s5: fitting to obtain Norton law parameters according to the uniform displacement-time model and the creep displacement change rate of the material under different load conditions;
s6: and obtaining the steady-state creep Norton law of the material according to the Norton law parameter.
2. The method according to claim 1, wherein the step S2 comprises:
the expression of the constructed unified displacement-time model is as follows:
wherein h is material creep displacement, P is material creep load, t is material creep time, B and v are Norton law parameters, A * Is the characteristic area, h * Is the characteristic displacement.
3. The method according to claim 1, wherein the step S4 comprises:
carrying out linear regression on the displacement-time curve through a material creep displacement change rate formula to obtain the material creep displacement change rate under different load conditions
Wherein h is material creep displacement, and t is material creep time.
4. The method according to claim 1, wherein the step S5 comprises:
and (3) inputting the change rate of the creep displacement of the material under different load conditions into a Norton law parameter fitting formula to obtain the Norton law parameters:
wherein,the change rate of the creep displacement of the material is h, P is the creep load of the material, t is the creep time of the material, B and v are Norton law parameters, A * Is the characteristic area, h * Is the characteristic displacement.
5. The method according to claim 1, wherein the step S6 comprises:
the steady state creep Norton law of a material is obtained by inputting Norton law parameters into the Norton law that describe the constitutive relation of the creep of the material:
wherein,the creep strain rate, σ, is the stress.
6. A unified acquisition system of the Norton law of material creep, comprising a first acquisition module, a construction module, a second acquisition module, a first determination module, a second determination module, and a third determination module:
the first acquisition module is used for processing and acquiring a creep deformation small sample of a material;
the construction module is used for constructing a unified displacement-time model;
the second acquisition module is used for completing a material creep test by adopting the creep small sample under the condition of constant load to obtain a displacement-time curve of a material creep second stage;
the first determining module is used for carrying out linear regression on the displacement-time curve to obtain the creep displacement change rate of the material under different load conditions;
the second determining module is used for obtaining Norton law parameters through fitting according to the unified displacement-time model and the creep displacement change rate of the material under different load conditions;
the third determination module is used for obtaining the steady-state creep Norton law of the material according to the Norton law parameters.
7. A computer readable storage medium storing computer instructions which, when read by a computer, perform the method of uniform acquisition of material creep Norton law according to any one of claims 1 to 5.
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