CN113808675B - Method and device for reflecting aging performance of foaming rubber material - Google Patents
Method and device for reflecting aging performance of foaming rubber material Download PDFInfo
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- 239000000463 material Substances 0.000 title claims abstract description 145
- 229920001971 elastomer Polymers 0.000 title claims abstract description 85
- 238000005187 foaming Methods 0.000 title claims abstract description 63
- 238000000034 method Methods 0.000 title claims abstract description 57
- 230000035882 stress Effects 0.000 claims abstract description 131
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- 238000006731 degradation reaction Methods 0.000 claims abstract description 118
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- 229940070527 tourmaline Drugs 0.000 claims abstract description 25
- 229910052613 tourmaline Inorganic materials 0.000 claims abstract description 25
- 239000011032 tourmaline Substances 0.000 claims abstract description 25
- 229920001821 foam rubber Polymers 0.000 claims description 38
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- 238000012360 testing method Methods 0.000 claims description 15
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- XUIMIQQOPSSXEZ-UHFFFAOYSA-N Silicon Chemical compound [Si] XUIMIQQOPSSXEZ-UHFFFAOYSA-N 0.000 description 5
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- G—PHYSICS
- G16—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR SPECIFIC APPLICATION FIELDS
- G16C—COMPUTATIONAL CHEMISTRY; CHEMOINFORMATICS; COMPUTATIONAL MATERIALS SCIENCE
- G16C10/00—Computational theoretical chemistry, i.e. ICT specially adapted for theoretical aspects of quantum chemistry, molecular mechanics, molecular dynamics or the like
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2113/00—Details relating to the application field
- G06F2113/26—Composites
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/08—Thermal analysis or thermal optimisation
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/14—Force analysis or force optimisation, e.g. static or dynamic forces
Abstract
The application provides a method and a device for reflecting aging performance of a foaming rubber material. The method comprises the following steps: obtaining the permanent deformation rate, stress relaxation parameters and stress-strain curve parameters of the foaming rubber material; fitting to obtain a permanent deformation rate degradation track and a stress relaxation degradation track under any temperature and compression rate conditions according to the permanent deformation rate and stress relaxation parameters, and combining an tourmaline aging model to obtain an accelerated degradation model of the permanent deformation rate and the stress relaxation; fitting to obtain a constitutive model of the foaming rubber material before aging by utilizing a super-elastic model according to the stress-strain curve parameters; determining a change rule of a target parameter which changes along with aging time in the constitutive model according to the permanent deformation rate degradation track and the stress relaxation degradation track; substituting the change rule of the target parameter into the constitutive model to obtain the material aging related compression constitutive model. Thus, the built material aging-related compression constitutive model reflects the change of the performance of the material in the aging process.
Description
Technical Field
The application relates to the technical field of research on ageing mechanical properties of high polymer materials, in particular to a method and a device for reflecting ageing properties of a foaming rubber material.
Background
The foaming rubber has good damping, heat insulation, sound insulation and sealing properties, and is commonly used for positioning important parts, damping and rotation prevention. Typically, the foam rubber is subjected to long-term loading during use and is exposed to the external environment, and accelerated aging occurs. The physical structure and the chemical structure of the aged foam rubber material are changed, and the changes finally affect the macroscopic performance of the foam rubber, so that the safety use of equipment is affected.
In the prior art, indexes such as stress relaxation rate, permanent deformation rate and the like are often adopted to measure the aging degree of the foaming rubber. The research on the aging index is quite perfect and forms corresponding national standards. In recent years, students study the mechanical properties of materials by studying the parameter changes of the constitutive model of the materials. However, such researches mostly determine parameters of the constitutive model by a fitting method, and cannot reveal the relation between the constitutive model of the material and the ageing performance index. How to reflect the performance of the material in the aging process through the constitutive model becomes a problem to be solved.
Disclosure of Invention
The application provides a method and a device for reflecting ageing performance of a foaming rubber material, which are used for solving the problem that a constitutive model in the prior art cannot reflect performance defects in the ageing process of the material.
The application provides a method for reflecting aging performance of a foaming rubber material, which comprises the following steps:
obtaining the permanent deformation rate, stress relaxation parameters and stress-strain curve parameters of the foaming rubber material;
according to the permanent deformation rate and the stress relaxation parameters, combining an tourmaline (Eyrining) aging model, and fitting to obtain a permanent deformation rate degradation track and a stress relaxation degradation track under the conditions of any temperature and compression rate;
fitting to obtain a constitutive model of the foaming rubber material before aging by utilizing a super-elasticity (Odgen hyperspace) model according to the stress-strain curve parameters;
determining a change rule of a target parameter which changes along with aging time in the constitutive model according to the permanent deformation rate degradation track and the stress relaxation degradation track;
substituting the change rule of the target parameter into the constitutive model to obtain the material aging related compression constitutive model.
Optionally, the obtaining the permanent deformation rate, the stress relaxation parameter and the stress-strain curve parameter of the foamed rubber material includes:
placing a plurality of samples of foaming rubber materials into corresponding constant-temperature aging boxes; each constant temperature aging box selects different environmental parameters; the environmental parameters include temperature and compressibility;
controlling the constant temperature ageing oven to perform an accelerated ageing test;
and measuring the permanent deformation rate, the stress relaxation parameter and the stress-strain parameter of the test sample at preset time intervals to obtain the permanent deformation rate before aging, the stress relaxation parameter before aging, the stress-strain parameter before aging, the permanent deformation rate after aging, the stress relaxation parameter after aging and the stress-strain parameter after aging.
Optionally, the fitting to obtain the permanent deformation rate degradation track and the stress relaxation degradation track under any temperature and compression rate conditions according to the permanent deformation rate and the stress relaxation parameter and by combining an apelin (aging) aging model includes:
fitting the permanent deformation rate and stress relaxation parameters under the same environmental parameters obtained in the aging process to obtain a permanent deformation rate degradation track and stress relaxation degradation track under the determined environmental parameters;
calculating the pseudo failure life of the material according to the permanent deformation rate degradation track and the stress relaxation degradation track under the determined environmental parameters;
based on the pseudo failure life under different environmental parameters, fitting and determining relevant parameters of an tourmaline (Eyrining) aging model by using a least square method;
according to the tourmaline (Eyrining) aging model, calculating an acceleration factor influencing the material performance degradation due to the reaction temperature and the compression rate;
and based on the acceleration factor, obtaining a permanent deformation rate degradation track and a stress relaxation degradation track of the material under any environmental parameters.
Optionally, the parameters in the constitutive model include: a fixed parameter that does not change with aging time and a target parameter that changes with aging time.
Optionally, the method for determining the fixed parameter includes:
selecting a 2-order super-elasticity (Odgen hyperspace) model, and fitting the aged stress-strain curve parameters of the foaming rubber material to obtain a constitutive model of the foaming rubber material before aging;
and determining the fixed parameters based on the constitutive model of the foaming rubber material before aging.
Optionally, the method for determining the target parameter includes:
determining fixed parameters;
calculating the elastic modulus of an elastic region of the foam rubber line before aging based on the stress-strain curve degradation track; wherein the elastic modulus of the elastic region of the foam rubber line before aging is related to the stress parameter and the strain parameter;
calculating the elastic modulus of an elastic region of the aged foam rubber line based on the stress-strain curve degradation track; wherein the elastic modulus of the elastic region of the aged foam rubber line is related to the stress parameter and the strain parameter;
determining the relation between an elastic modulus parameter and the permanent deformation rate and stress relaxation degradation track based on the elastic modulus of the elastic region of the foam rubber line before aging and the elastic modulus of the elastic region of the foam rubber line after aging;
determining the relation between the elastic modulus of the elastic area of the aged foam rubber line and the target parameter;
and deducing a change rule of the target parameter based on the relation between the elastic modulus parameter and the permanent deformation rate degradation track and the stress relaxation degradation track and the relation between the elastic modulus of the elastic region of the aged foam rubber line and the target parameter so as to obtain a aged material constitutive model.
Optionally, the permanent deformation rate of the material is the ratio of the aging height difference to the compression height difference; wherein the aging height difference is obtained by subtracting the non-compression state height after aging from the non-compression state height before aging; the compression height difference value is obtained by subtracting the compression state height before aging from the non-compression state height before aging;
the stress relaxation parameter is the ratio of the stress at the preset compression rate after aging to the stress at the preset compression rate before aging.
The application also provides a device for reflecting the aging performance of the foaming rubber material, which comprises:
the acquisition unit is used for acquiring the permanent deformation rate, the stress relaxation parameter and the stress-strain curve parameter of the foaming rubber material;
the first fitting unit is used for fitting to obtain a permanent deformation rate degradation track and a stress relaxation degradation track under any temperature and compression rate according to the permanent deformation rate and the stress relaxation parameters and by combining an tourmaline aging model;
the second fitting unit is used for fitting to obtain a constitutive model of the foaming rubber material before aging by utilizing a super-elastic model according to the stress-strain curve parameters;
the determining unit is used for determining the change rule of the target parameter which changes along with the aging time in the constitutive model according to the permanent deformation rate degradation track and the stress relaxation degradation track;
and the substituting unit is used for substituting the change rule of the target parameter into the constitutive model to obtain a material aging-related compression constitutive model, and the aging performance of the foaming rubber material is reflected through the material aging-related compression constitutive model.
The application also provides an electronic device comprising a memory, a processor and a computer program stored on the memory and capable of running on the processor, wherein the processor realizes the steps of the aging performance reflecting method of the foaming rubber material when executing the program.
The present application also provides a non-transitory computer-readable storage medium having stored thereon a computer program which, when executed by a processor, implements the steps of the aging performance reflecting method of a foamed rubber material as described in any one of the above.
In the aging performance reflecting method of the foaming rubber material, partial parameter information of the material is firstly obtained; combining an tourmaline (Eyrining) aging model to obtain a permanent deformation rate degradation track and a stress relaxation degradation track under the conditions of any temperature and compression rate; then fitting by using a super-elastic (Odgen hyperspace) model to obtain a constitutive model before aging; determining a change rule of a target parameter which changes along with aging time in the constitutive model according to the permanent deformation rate degradation track and the stress relaxation degradation track; substituting the change rule of the target parameter into the constitutive model to obtain a material aging-related compression constitutive model, and reflecting the aging performance of the foaming rubber material through the material aging-related compression constitutive model. In the method provided by the application, the relation between the aging parameters of the material and the constitutive model is fully considered, the super-elastic (Odge hyper foam) model is selected as the constitutive model of the material, the change rule of the parameters of the constitutive model along with the time change in the aging process is obtained through theoretical deduction based on the change of the stress relaxation and the permanent deformation rate of the material in the aging process, and the constitutive model of the material is successfully related with the aging index. The built material aging-related compression constitutive model reflects the change of the performance of the material in the aging process, and provides a reference for predicting the aging degree of the material and researching the performance of the material in the aging process.
Drawings
In order to more clearly illustrate the embodiments of the present application or the technical solutions of the prior art, the following description will briefly explain the drawings used in the embodiments or the description of the prior art, and it is obvious that the drawings in the following description are some embodiments of the present application, and other drawings can be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a schematic flow chart of a method for reflecting aging performance of a foaming rubber material;
FIG. 2 is a schematic diagram of a part of the flow chart of the method for reflecting the aging performance of the foaming rubber material;
FIG. 3 is a schematic structural view of the aging performance reflecting device for the foaming rubber material;
fig. 4 is a schematic structural diagram of an electronic device provided by the present application.
Detailed Description
For the purpose of making the objects, technical solutions and advantages of the embodiments of the present application more apparent, the technical solutions of the embodiments of the present application will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present application, and it is apparent that the described embodiments are some embodiments of the present application, but not all embodiments of the present application. All other embodiments, which can be made by those skilled in the art based on the embodiments of the application without making any inventive effort, are intended to be within the scope of the application.
The aging performance reflecting method and device for the foaming rubber material provided by the application are described below with reference to fig. 1 to 4.
FIG. 1 is a flowchart of an embodiment of a method for reflecting aging performance of a foamed rubber material according to the present application, as shown in FIG. 1, and the method for reflecting aging performance of a foamed rubber material according to the embodiment of the present application comprises the following steps:
s101, obtaining a permanent deformation rate, a stress relaxation parameter and a stress-strain curve parameter of the foaming rubber material;
s102, fitting to obtain a permanent deformation rate degradation track and a stress relaxation degradation track according to the permanent deformation rate and the stress relaxation parameters, and combining an tourmaline aging model to obtain an acceleration degradation model of the permanent deformation rate and the stress relaxation;
s103, fitting by using a super-elastic model according to the stress-strain curve parameters to obtain a constitutive model of the foaming rubber material before aging;
s104, determining a change rule of a target parameter which changes along with aging time in the constitutive model according to the permanent deformation rate degradation track and the stress relaxation degradation track;
s105, substituting the change rule of the target parameter into the constitutive model to obtain a material aging-related compression constitutive model, and reflecting the aging performance of the foaming rubber material through the material aging-related compression constitutive model.
In the embodiment of the application, a method is provided for accurately acquiring the aging-related compression constitutive model of the foaming rubber material, the method fully considers the relation between the aging parameters of the material and the constitutive model, the super-elastic (Odgen hyperspace) model is selected as the constitutive model of the material, the relation between the aging parameters of the constitutive model and the aging indexes in the aging process is successfully related by theoretical deduction based on the stress relaxation and the permanent deformation rate change of the material in the aging process. The built material aging-related compression constitutive model reflects the change of the performance of the material in the aging process, and provides a reference for predicting the aging degree of the material and researching the performance of the material in the aging process.
It should be noted that, in the step S101, in the embodiment of the present application, the obtaining the permanent deformation rate, the stress relaxation parameter, and the stress-strain curve parameter of the foamed rubber material includes:
placing a plurality of samples of the foaming rubber materials into corresponding constant temperature aging boxes; each constant temperature aging box selects different environmental parameters; the environmental parameters include temperature and compressibility;
controlling the constant temperature ageing oven to perform an accelerated ageing test;
and measuring the permanent deformation rate, the stress relaxation parameter and the stress-strain parameter of the test sample at preset time intervals to obtain the permanent deformation rate before aging, the stress relaxation parameter before aging, the stress-strain parameter before aging, the permanent deformation rate after aging, the stress relaxation parameter after aging and the stress-strain parameter after aging.
For example, in the embodiment of the application, a cubic silicon foam material with a side length of 10mm can be used as a sample, an accelerated aging test is carried out in a constant temperature aging box, 4 aging temperatures are set in the test, namely, 85 ℃, 100 ℃, 115 ℃, 130 ℃, the initial compression rate of the sample is 40%, 3 samples are placed at each temperature point, the stress relaxation, the permanent deformation rate and the stress-strain curve of the sample (namely, the sample) are measured at intervals, and the sample is not reused. Wherein, the shape setting of cube makes when examining the sample, detects more conveniently. Further, it is necessary to measure the sample to obtain partial data before performing the aging test, and then measure the sample at intervals. Based on the measured time, the measured data can be divided into: the permanent deformation ratio before aging, the stress relaxation parameter before aging, the stress-strain parameter before aging, the permanent deformation ratio after aging, the stress relaxation parameter after aging and the stress-strain parameter after aging.
For step S102, it should be noted that, in the embodiment of the present application, according to the permanent deformation rate and the stress relaxation parameter, a permanent deformation rate degradation track and a stress relaxation degradation track are obtained by fitting, and an apelin (Eyring) aging model is combined to obtain an accelerated degradation model of permanent deformation rate and stress relaxation, which includes:
fitting the permanent deformation rate and stress relaxation parameters under the same environmental parameters obtained in the aging process to obtain a permanent deformation rate degradation track and stress relaxation degradation track under the determined environmental parameters;
calculating the pseudo failure life of the material according to the permanent deformation rate degradation track and the stress relaxation degradation track under the determined environmental parameters;
based on the pseudo failure life under different environmental parameters, fitting and determining relevant parameters of an tourmaline (Eyrining) aging model by using a least square method;
according to the tourmaline (Eyrining) aging model, calculating an acceleration factor influencing the material performance degradation due to the reaction temperature and the compression rate;
and based on the acceleration factor, obtaining a permanent deformation rate degradation track and a stress relaxation degradation track of the material under any environmental parameters.
The material set is expressed as:
wherein h (0) is the uncompressed state height before aging, h (t) is the uncompressed state height after aging for a period of t, h l Is the compression state height before aging.
Stress relaxation of a material is expressed as:
in sigma a (t) is stress at a predetermined compression rate after aging, σ a (0) The stress at the compression ratio is preset before aging.
Specifically, in the scheme provided by the application, a tourmaline (aging) aging model is combined to fit a degradation track of the permanent deformation rate and stress relaxation of the material; fitting a degradation track of the material according to the permanent deformation rate and stress relaxation data obtained in the aging process; setting a failure threshold value, and calculating the pseudo failure life of the material according to the degradation track; comparing the pseudo failure life under different temperatures and compression ratios, and fitting related parameters of an tourmaline (Eyrining) aging model by using a least square method; and calculating an acceleration factor of the temperature and the compression ratio on the material performance degradation according to the Eyring model, and obtaining a degradation track of the material under any temperature and any compression ratio.
It should be noted that, in the scheme provided by the application, a silicon foam constitutive model is required to be fitted according to the stress-strain data of the material before aging, wherein the constitutive model selected here is a super-elastic (Odgen hypersphere) model, and the model expression is as follows:
wherein lambda is 1 ，λ 2 ，λ 3 Is the main deformation rate in 3 directions, mu i 、α i 、β i (i is 1 to N) is a material parameter. Parameter alpha i Describing the degree of foamed rubber of the material,parameter mu i Parameter beta i Initial shear modulus mu of material 0 Initial bulk modulus K 0 Poisson ratio v i Related to the following.
Acquisition of constitutive model parameters μ before aging 1 、μ 2 、α 1 、α 2 、β 1 、β 2 The method comprises the steps of carrying out a first treatment on the surface of the Based on the previous study, it can be considered that the parameters of the studied constitutive model are only mu 1 The time variation is obvious, and other parameters do not change greatly with time; i.e. parameter μ above 1 Is the target parameter. Among the parameters of the superelastic (Odgen Hyperfoam) model above, the parameter μ is excluded 1 Besides, other parameters are fixed parameters.
Wherein for a fixed parameter alpha 1 、α 2 、β 1 、β 2 The determination mode of (2) is as follows:
selecting a 2-order super-elasticity (Odgen hyperspace) model, and fitting the aged stress-strain curve parameters of the foaming rubber material to obtain a constitutive model of the foaming rubber material before aging; and determining the fixed parameters based on the constitutive model of the foaming rubber material before aging.
Referring to fig. 2, for the target parameter μ 1 The determination mode of (2) is as follows:
s201, determining fixed parameters;
s202, calculating the elastic modulus of an elastic region of the foam rubber line before aging based on the degradation track of the stress-strain curve; wherein the elastic modulus of the elastic region of the foam rubber line before aging is related to the stress parameter and the strain parameter;
s203, calculating the elastic modulus of an elastic region of the aged foam rubber line based on the degradation track of the stress-strain curve; wherein the elastic modulus of the elastic region of the aged foam rubber line is related to the stress parameter and the strain parameter;
s204, determining the relation between an elastic modulus parameter and the permanent deformation rate and stress relaxation degradation track based on the elastic modulus of the elastic region of the foam rubber line before aging and the elastic modulus of the elastic region of the foam rubber line after aging;
s205, determining the relation between the elastic modulus of the elastic region of the aged foam rubber line and the target parameter;
s206, deriving a change rule of the target parameter based on the relation between the elastic modulus parameter and the permanent deformation rate degradation track and the stress relaxation degradation track and the relation between the elastic modulus of the aged foam rubber line elastic region and the target parameter so as to obtain the aged material constitutive model.
Specifically, mu is obtained 1 The specific steps of the time-dependent relationship (target parameters) are as follows:
calculating the elastic modulus E (0) of the elastic area of the foam rubber line before aging:
the stress-strain curve of the foam rubber can be divided into 3 stages, namely a linear elastic region, a plateau region and a dense region, and the Young's modulus E (0) of the initial linear elastic region can be expressed by the following formula:
wherein E (0) represents the modulus, sigma, of the elastic region of the line before aging a (0) Representing stress, ε, at a point a of the elastic region of the line before aging a (0) Indicating the strain (i.e., strain parameter in the present application) at a point a of the elastic region of the line before aging.
The elastic modulus E (t) of the elastic region of the foam rubber line after aging is calculated:
wherein E (t) represents modulus after aging, sigma a (t) shows stress, ε, at a point a in the elastic region of the aged thread a And (t) represents the strain (i.e., strain parameter in the present application) at a certain point a of the elastic region of the line after aging.
Deriving epsilon in E (t) a The relationship between (t) and the aging index permanent deformation Cs (t) is as follows:
wherein ε a (t) is the strain at point a, ε after aging a (0) Is the strain of the a point before aging;
further, the elastic modulus E (t) and the target coefficient mu are determined 1 Relationship between (t):
in the uniaxially pressed state, the load is applied in only one direction, and the tensile ratio in this direction is denoted as lambda L The other direction deformation state being the same, i.e. lambda 1 ＝λ L ，λ 2 ＝λ 3 ；
Engineering stress sigma in loading direction L The principal elongation lambda in this direction can be determined by the energy function U L Obtaining a derivative, namely:
elongation lambda L And strain epsilon L The relationship may be expressed as:
λ L ＝1+ε L (9)
the modulus of elasticity E of the material can be determined by the stress sigma L For strain epsilon L Obtaining a deviation guide:
further, since a large number of pores exist in the silicon foam during the initial compression stage, the silicon foam is basically not deformed in the other directions except the main compression direction during compression, so that the poisson ratio can be considered as 0, namely: v 0 ＝0。
And also (b)Beta is therefore i ＝0；
Taking epsilon L =0, to obtain the initial elasticity of the materialNamely:
from the above, the target parameter μ 1 (t) relation to modulus of elasticity.
In the fitting process of the foaming rubber, beta is as follows for the initial compression stage i =0, i.e.:
selecting a second-order super-elastic (Odgen hypersphere) model, wherein the time-dependent change of the constitutive model of the silicon foam in the aging process can be expressed as:
the target parameter mu 1 The change rule of (t) is substituted into the formula to obtain the following formula:
in the method, in the process of the application,
wherein P (t) is the pressure at point a at time t, h (t), P (t) and sigma a (t) data were obtained by an aging test.
By the method, the target parameters and the change rule of the target parameters can be determined.
In practical application, the change rule of the constitutive model and the target parameter related to material aging can be obtained at the same time. Namely: after the price change rule of the fixed parameter and the target parameter is determined, the material aging related constitutive model is also determined.
Of course, in order to ensure the accuracy of the pushing, the theoretical deduction material aging related constitutive model can be compared with the stress-strain curve obtained by the test to verify whether the model is reasonable.
It will be apparent that the described embodiments are only some, but not all, embodiments of the application. All other embodiments, based on the examples of the application, which a worker of ordinary skill in this art would have without making any inventive effort, are within the scope of this application.
Fig. 3 illustrates a schematic structural diagram of an aging performance reflecting apparatus for a foamed rubber material, as shown in fig. 3, comprising:
an acquisition unit 310 for acquiring a permanent deformation rate, a stress relaxation parameter, and a stress-strain curve parameter of the foamed rubber material;
the first fitting unit 320 is configured to fit to obtain a degradation track of the permanent deformation rate and a stress relaxation degradation track under any temperature and compression rate according to the permanent deformation rate and the stress relaxation parameter and in combination with an tourmaline aging model;
a second fitting unit 330, configured to obtain a constitutive model of the foamed rubber material before aging by fitting using a super-elastic model according to the stress-strain curve parameter;
a determining unit 340, configured to determine a change rule of a target parameter that changes with aging time in the constitutive model according to the permanent deformation rate degradation track and the stress relaxation degradation track;
and a substituting unit 350, configured to substitute the change rule of the target parameter into the constitutive model, obtain a material aging-related compression constitutive model, and reflect the aging performance of the foamed rubber material through the material aging-related compression constitutive model.
The device provided by the embodiment of the application firstly acquires partial parameter information of the material; then combining an tourmaline (Eyrining) aging model, and permanently deforming the degradation track and the stress relaxation degradation track; then fitting by using a super-elastic (Odgen hyperspace) model to obtain a constitutive model before aging; determining a change rule of a target parameter which changes along with aging time in the constitutive model according to the permanent deformation rate degradation track and the stress relaxation degradation track; substituting the change rule of the target parameter into the constitutive model to obtain a material aging-related compression constitutive model, and reflecting the aging performance of the foaming rubber material through the material aging-related compression constitutive model. In this way, in the device provided by the application, the relation between the aging parameters of the material and the constitutive model is fully considered, the super-elastic (Odge hyper foam) model is selected as the constitutive model of the material, the change rule of the parameters of the constitutive model along with the time change in the aging process is obtained through theoretical deduction based on the change of the stress relaxation and the permanent deformation rate of the material in the aging process, and the constitutive model of the material is successfully related to the aging index. The built material aging-related compression constitutive model reflects the change of the performance of the material in the aging process, and provides a reference for predicting the aging degree of the material and researching the performance of the material in the aging process.
Based on any of the above embodiments, the obtaining unit 310 is specifically configured to: placing a plurality of samples of the foaming rubber materials into corresponding constant temperature aging boxes; the number of the constant temperature ageing boxes is multiple; each constant temperature aging box selects different environmental parameters; the environmental parameters include temperature and compressibility; controlling the constant temperature ageing oven to perform an accelerated ageing test; and measuring the permanent deformation rate, the stress relaxation parameter and the stress-strain parameter of the test sample at preset time intervals to obtain the permanent deformation rate before aging, the stress relaxation parameter before aging, the stress-strain parameter before aging, the permanent deformation rate after aging, the stress relaxation parameter after aging and the stress-strain parameter after aging.
Based on any of the above embodiments, the first fitting unit 320 is specifically configured to: fitting the permanent deformation rate and stress relaxation parameters under the same environmental parameters obtained in the aging process to obtain a permanent deformation rate degradation track and stress relaxation degradation track under the determined environmental parameters;
calculating the pseudo failure life of the material according to the permanent deformation rate degradation track and the stress relaxation degradation track under the determined environmental parameters;
based on the pseudo failure life under different environmental parameters, fitting by using a least square method to determine relevant parameters of the tourmaline aging model;
according to the tourmaline aging model, calculating an acceleration factor influencing the material performance degradation due to the reaction temperature and the compression rate;
and based on the acceleration factor, obtaining a permanent deformation rate degradation track and a stress relaxation degradation track of the material under any environmental parameters.
Based on any of the foregoing embodiments, the parameters in the constitutive model include: a fixed parameter that does not change with aging time and a target parameter that changes with aging time.
Based on any of the above embodiments, the method for determining the fixed parameter includes:
selecting a 2-order superelastic model, and fitting the aged stress-strain curve parameters of the foaming rubber material to obtain a constitutive model of the foaming rubber material before aging;
and determining the fixed parameters based on the constitutive model of the foaming rubber material before aging.
Based on any of the above embodiments, the method of determining the target parameter includes:
determining fixed parameters;
calculating the elastic modulus of an elastic region of the foam rubber line before aging based on the stress-strain curve degradation track; wherein the elastic modulus of the elastic region of the foam rubber line before aging is related to stress and strain parameters;
calculating the elastic modulus of an elastic region of the aged foam rubber line based on the stress-strain curve degradation track; wherein the elastic modulus of the elastic region of the aged foam rubber line is related to the stress and strain parameters;
determining a relationship between the strain parameter and the permanent set degradation track based on the pre-aging foam rubber line elastic region elastic modulus and the post-aging foam rubber line elastic region elastic modulus;
determining the relation between the elastic modulus of the elastic area of the aged foam rubber line and the target parameter;
based on the relation between the elastic modulus parameter and the permanent deformation rate degradation track, the relation between the elastic modulus of the elastic region of the aged foam rubber line and the permanent deformation rate degradation track, the stress relaxation degradation track and the target parameter, the change rule of the target parameter is deduced, and the aged material constitutive model is obtained.
Based on any of the above embodiments, the material permanent set is a ratio of the aged height difference to the compressed height difference; wherein the aging height difference is obtained by subtracting the non-compression state height after aging from the non-compression state height before aging; the compression height difference value is obtained by subtracting the compression state height before aging from the non-compression state height before aging;
the stress relaxation parameter is the ratio of the stress at the preset compression rate after aging to the stress at the preset compression rate before aging.
Fig. 4 illustrates a physical schematic diagram of an electronic device, as shown in fig. 4, which may include: processor 410, communication interface (Communications Interface) 420, memory 430 and communication bus 440, wherein processor 410, communication interface 420 and memory 430 communicate with each other via communication bus 440. The processor 410 may call logic instructions in the memory 430 to perform a method of reflecting aging properties of a foamed rubber material, the method comprising: obtaining the permanent deformation rate, stress relaxation parameters and stress-strain curve parameters of the foaming rubber material; according to the permanent deformation rate and the stress relaxation parameters, combining an tourmaline (Eyrining) aging model, and fitting to obtain a permanent deformation rate degradation track and a stress relaxation degradation track under the conditions of any temperature and compression rate; fitting to obtain a constitutive model of the foaming rubber material before aging by utilizing a super-elasticity (Odgen hyperspace) model according to the stress-strain curve parameters; determining a change rule of a target parameter which changes along with aging time in the constitutive model according to the permanent deformation rate degradation track and the stress relaxation degradation track; substituting the change rule of the target parameter into the constitutive model to obtain a material aging-related compression constitutive model, and reflecting the aging performance of the foaming rubber material through the material aging-related compression constitutive model.
Further, the logic instructions in the memory 430 described above may be implemented in the form of software functional units and may be stored in a computer-readable storage medium when sold or used as a stand-alone product. Based on this understanding, the technical solution of the present application may be embodied essentially or in a part contributing to the prior art or in a part of the technical solution, in the form of a software product stored in a storage medium, comprising several instructions for causing a computer device (which may be a personal computer, a server, a network device, etc.) to perform all or part of the steps of the method according to the embodiments of the present application. And the aforementioned storage medium includes: a U-disk, a removable hard disk, a Read-Only Memory (ROM), a random access Memory (RAM, random Access Memory), a magnetic disk, or an optical disk, or other various media capable of storing program codes.
In another aspect, the present application also provides a computer program product comprising a computer program stored on a non-transitory computer readable storage medium, the computer program comprising program instructions which, when executed by a computer, are capable of executing the method for reflecting the aging performance of a foamed rubber material provided by the above methods, the method comprising: to perform a method for reflecting aging properties of a foamed rubber material, the method comprising: obtaining the permanent deformation rate, stress relaxation parameters and stress-strain curve parameters of the foaming rubber material; according to the permanent deformation rate and the stress relaxation parameters, combining an tourmaline (Eyrining) aging model, and fitting to obtain a permanent deformation rate degradation track and a stress relaxation degradation track under the conditions of any temperature and compression rate; fitting to obtain a constitutive model of the foaming rubber material before aging by utilizing a super-elasticity (Odgen hyperspace) model according to the stress-strain curve parameters; determining a change rule of a target parameter which changes along with aging time in the constitutive model according to the permanent deformation rate degradation track and the stress relaxation degradation track; substituting the change rule of the target parameter into the constitutive model to obtain a material aging-related compression constitutive model, and reflecting the aging performance of the foaming rubber material through the material aging-related compression constitutive model.
In still another aspect, the present application also provides a non-transitory computer-readable storage medium having stored thereon a computer program which, when executed by a processor, is implemented to perform the above-provided method of reflecting aging properties of a foamed rubber material, the method comprising: to perform a method for reflecting aging properties of a foamed rubber material, the method comprising: obtaining the permanent deformation rate, stress relaxation parameters and stress-strain curve parameters of the foaming rubber material; according to the permanent deformation rate and the stress relaxation parameters, combining an tourmaline (Eyrining) aging model, and fitting to obtain a permanent deformation rate degradation track and a stress relaxation degradation track under the conditions of any temperature and compression rate; fitting to obtain a constitutive model of the foaming rubber material before aging by utilizing a super-elasticity (Odgen hyperspace) model according to the stress-strain curve parameters; determining a change rule of a target parameter which changes along with aging time in the constitutive model according to the permanent deformation rate degradation track and the stress relaxation degradation track; substituting the change rule of the target parameter into the constitutive model to obtain a material aging-related compression constitutive model, and reflecting the aging performance of the foaming rubber material through the material aging-related compression constitutive model.
The apparatus embodiments described above are merely illustrative, wherein the elements illustrated as separate elements may or may not be physically separate, and the elements shown as elements may or may not be physical elements, may be located in one place, or may be distributed over a plurality of network elements. Some or all of the modules may be selected according to actual needs to achieve the purpose of the solution of this embodiment. Those of ordinary skill in the art will understand and implement the present application without undue burden.
From the above description of the embodiments, it will be apparent to those skilled in the art that the embodiments may be implemented by means of software plus necessary general hardware platforms, or of course may be implemented by means of hardware. Based on this understanding, the foregoing technical solution may be embodied essentially or in a part contributing to the prior art in the form of a software product, which may be stored in a computer readable storage medium, such as ROM/RAM, a magnetic disk, an optical disk, etc., including several instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute the method described in the respective embodiments or some parts of the embodiments.
Finally, it should be noted that: the above embodiments are only for illustrating the technical solution of the present application, and are not limiting; although the application has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical scheme described in the foregoing embodiments can be modified or some technical features thereof can be replaced by equivalents; such modifications and substitutions do not depart from the spirit and scope of the technical solutions of the embodiments of the present application.
Claims (8)
1. The aging performance reflecting method of the foaming rubber material is characterized by comprising the following steps of:
obtaining the permanent deformation rate, stress relaxation parameters and stress-strain curve parameters of the foaming rubber material;
according to the permanent deformation rate and the stress relaxation parameters, combining an tourmaline aging model, and fitting to obtain a permanent deformation rate degradation track and a stress relaxation degradation track under any temperature and compression rate conditions;
fitting to obtain a constitutive model of the foaming rubber material before aging by utilizing a super-elastic model according to the stress-strain curve parameters;
determining a change rule of a target parameter which changes along with aging time in the constitutive model according to the permanent deformation rate degradation track and the stress relaxation degradation track;
substituting the change rule of the target parameter into the constitutive model to obtain a material aging-related compression constitutive model so as to reflect the aging performance of the foaming rubber material through the material aging-related compression constitutive model; the obtaining of the permanent deformation rate, the stress relaxation parameter and the stress-strain curve parameter of the foaming rubber material comprises the following steps:
placing a plurality of samples of the foaming rubber materials into corresponding constant temperature aging boxes; the number of the constant temperature ageing boxes is multiple; each constant temperature aging box selects different environmental parameters; the environmental parameters include temperature and compressibility;
controlling the constant temperature ageing oven to perform an accelerated ageing test;
measuring the permanent deformation rate, the stress relaxation parameter and the stress-strain parameter of the test sample at preset time intervals to obtain the permanent deformation rate before aging, the stress relaxation parameter before aging, the stress-strain parameter before aging, the permanent deformation rate after aging, the stress relaxation parameter after aging and the stress-strain parameter after aging; and fitting according to the permanent deformation rate and the stress relaxation parameter and by combining an tourmaline aging model, the permanent deformation rate degradation track and the stress relaxation degradation track under any temperature and compression rate conditions comprise the following steps:
fitting the permanent deformation rate and stress relaxation parameters under the same environmental parameters obtained in the aging process to obtain a permanent deformation rate degradation track and stress relaxation degradation track under the determined environmental parameters;
calculating the pseudo failure life of the material according to the permanent deformation rate degradation track and the stress relaxation degradation track under the determined environmental parameters;
based on the pseudo failure life under different environmental parameters, fitting by using a least square method to determine relevant parameters of the tourmaline aging model;
according to the tourmaline aging model, calculating an acceleration factor influencing the material performance degradation due to the reaction temperature and the compression rate;
and based on the acceleration factor, obtaining a permanent deformation rate degradation track and a stress relaxation degradation track of the material under any environmental parameters.
2. The method for reflecting aging properties of a foamed rubber material according to claim 1, wherein the parameters in the constitutive model include: a fixed parameter that does not change with aging time and a target parameter that changes with aging time.
3. The method for reflecting aging properties of a foamed rubber material according to claim 2, wherein the method for determining the fixed parameter comprises:
selecting a 2-order superelastic model, and fitting the aged stress-strain curve parameters of the foaming rubber material to obtain a constitutive model of the foaming rubber material before aging;
and determining the fixed parameters based on the constitutive model of the foaming rubber material before aging.
4. The method for reflecting aging properties of a foamed rubber material according to claim 2, wherein the method for determining the target parameter comprises:
determining fixed parameters;
calculating the elastic modulus of an elastic region of the foam rubber line before aging based on the stress-strain curve degradation track; wherein the elastic modulus of the elastic region of the foam rubber line before aging is related to the stress parameter and the strain parameter;
calculating the elastic modulus of an elastic region of the aged foam rubber line based on the stress-strain curve degradation track; wherein the elastic modulus of the elastic region of the aged foam rubber line is related to the stress parameter and the strain parameter;
determining the relation between an elastic modulus parameter and the permanent deformation rate and stress relaxation degradation track based on the elastic modulus of the elastic region of the foam rubber line before aging and the elastic modulus of the elastic region of the foam rubber line after aging;
determining the relation between the elastic modulus of the elastic area of the aged foam rubber line and the target parameter;
and deducing a change rule of the target parameter based on the relation between the elastic modulus parameter and the permanent deformation rate degradation track and the stress relaxation degradation track and the relation between the elastic modulus of the elastic region of the aged foam rubber line and the target parameter so as to obtain a aged material constitutive model.
5. The method for reflecting the aging property of a foamed rubber material according to any one of claims 1 to 4, wherein the material permanent deformation ratio is a ratio of an aging height difference to a compression height difference; wherein the aging height difference is obtained by subtracting the non-compression state height after aging from the non-compression state height before aging; the compression height difference value is obtained by subtracting the compression state height before aging from the non-compression state height before aging;
the stress relaxation parameter is the ratio of the stress at the preset compression rate after aging to the stress at the preset compression rate before aging.
6. An aging performance reflecting device for a foamed rubber material, comprising:
the acquisition unit is used for acquiring the permanent deformation rate, the stress relaxation parameter and the stress-strain curve parameter of the foaming rubber material;
the first fitting unit is used for fitting to obtain a permanent deformation rate degradation track and a stress relaxation degradation track under any temperature and compression rate according to the permanent deformation rate and the stress relaxation parameters and by combining an tourmaline aging model;
the second fitting unit is used for fitting to obtain a constitutive model of the foaming rubber material before aging by utilizing a super-elastic model according to the stress-strain curve parameters;
the determining unit is used for determining the change rule of the target parameter which changes along with the aging time in the constitutive model according to the permanent deformation rate degradation track and the stress relaxation degradation track;
the substituting unit is used for substituting the change rule of the target parameter into the constitutive model to obtain a material aging-related compression constitutive model, and the aging performance of the foaming rubber material is reflected through the material aging-related compression constitutive model;
the device comprises an acquisition unit, a control unit and a control unit, wherein the acquisition unit is specifically used for placing a plurality of samples of foaming rubber materials into corresponding constant-temperature aging boxes; the number of the constant temperature ageing boxes is multiple; each constant temperature aging box selects different environmental parameters; the environmental parameters include temperature and compressibility; controlling the constant temperature ageing oven to perform an accelerated ageing test; measuring the permanent deformation rate, the stress relaxation parameter and the stress-strain parameter of the test sample at preset time intervals to obtain the permanent deformation rate before aging, the stress relaxation parameter before aging, the stress-strain parameter before aging, the permanent deformation rate after aging, the stress relaxation parameter after aging and the stress-strain parameter after aging;
the first fitting unit is specifically used for fitting the permanent deformation rate and stress relaxation parameters under the same environmental parameters obtained in the aging process to obtain a permanent deformation rate degradation track and a stress relaxation degradation track under the determined environmental parameters; calculating the pseudo failure life of the material according to the permanent deformation rate degradation track and the stress relaxation degradation track under the determined environmental parameters; based on the pseudo failure life under different environmental parameters, fitting by using a least square method to determine relevant parameters of the tourmaline aging model; according to the tourmaline aging model, calculating an acceleration factor influencing the material performance degradation due to the reaction temperature and the compression rate; and based on the acceleration factor, obtaining a permanent deformation rate degradation track and a stress relaxation degradation track of the material under any environmental parameters.
7. An electronic device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, characterized in that the processor implements the steps of the method for reflecting the ageing properties of a foamed rubber material according to any one of claims 1 to 5 when the program is executed by the processor.
8. A non-transitory computer-readable storage medium having stored thereon a computer program, wherein the computer program, when executed by a processor, implements the steps of the aging performance reflecting method of a foamed rubber material according to any one of claims 1 to 5.
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