CN104764805A - Nonlinear ultrasonic detection method for evaluating thermo-oxidative ageing of organic material - Google Patents
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Abstract
A nonlinear ultrasonic detection method for evaluating the thermo-oxidative ageing of an organic material comprises the following steps: building an organic material thermo-oxidative ageing damage nonlinear ultrasonic detection system based on a nonlinear acoustic detection system; respectively setting corresponding parameters of an excitation signal and a reception signal, and finely adjusting the corresponding parameters of the excitation signal and the reception signal by a time domain waveform signal observed and received by an oscilloscope; selecting the optimum work frequency range of a probe according to the frequency characteristic of the ultrasonic probe, and determining the initial frequency and the ending frequency of the swept frequency range; adjusting integrator gate parameters, carrying out frequency sweeping to obtain the change rule of an supersonic wave fundamental wave amplitude and a secondary harmonic amplitude with the frequency, and storing the change rule in a computer; calculating corresponding nonlinear coefficients of all frequency points in the swept frequency range, and calculating the accumulated nonlinear effect in the swept frequency range; and determining a corresponding relationship between the accumulated nonlinear effect and the thermo-oxidative ageing time of the organic material, and assessing the existence or not and the degree of the thermo-oxidative ageing damage of the organic material.
Description
Technical field
The present invention relates to the non-linear ultrasonic detection method of a kind of organic material thermo-oxidative ageing damage, the method can be used for the Non-Destructive Testing of organic material thermo-oxidative ageing damage and the assessment of degree of aging, belongs to field of non destructive testing.
Background technology
The advantages such as high-molecular organic material is lightweight with it, plasticity is strong, intensity is high, corrosion-resistant, are all used widely in each field, as the shoring of foundation parts etc. of municipal network water supply, electric system outer insulating material, each instrument panel/dish.Owing to being subject to the impact of the environmental factors such as illumination, temperature, oxygen, organic material is in processing, storage and use procedure, and its physics, chemical property irreversible change can occur and produce Aging Damage.The aging variation that not only can cause its presentation quality of organic material, also can reduce its machinery and electric property, greatly as degradation under mechanical properties decrease, electrical insulation capability, for very large potential safety hazard is buried in the normal use of material.Therefore, Non-Destructive Testing carried out to the Aging Damage of high-molecular organic material and assessment tool is carried out to degree of injury be of great significance.
Used high-molecular organic material Aging Damage detection method mainly contains ocular estimate, tension test method, Infrared spectroscopy etc.Ocular estimate mainly through observing the crazing of material surface, efflorescence, the phenomenon such as wrinkling judge its degree of aging, the subjective impact by operating personnel is large, measuring accuracy is low; Tension test method is a kind of destructive method, characterizes the aging of organic material by the parameter such as tensile strength and breaking elongation of test specimen on tired puller system; Infrared spectroscopy utilizes the change of spectrum in material aging process to carry out its aging performance of qualitative analysis, but the method is larger by the interference of outside environmental elements.It is when utilizing Acoustic Wave Propagation that non-linear ultrasonic detects and the sign of material property and the detection of tiny flaw are carried out in the material microstructure nonlinear response that interacts and produce, inherently reflect the impact of microdefect on material nonlinearity, therefore may be used for the detection that material Early-age behavior is degenerated.Based on ultrasonic nonlinear effect, existing non-linear ultrasonic lossless detection method mainly contains higher hamonic wave and subharmonic method, wave beam aliasing method and resonance frequency drift method, and wherein Harmonic Method is the most ripe, the most widely used a kind of non-linear ultrasonic detection method of technology.
Chinese scholars adopts non-linear ultrasonic higher hamonic wave method to carry out large quantity research to the early stage material property degradation of metal material under the condition such as high-temerature creep, tensile fatigue.In the non-linear ultrasonic evaluation of metal material fire damage, Xiang Yanxun have studied the Changing Pattern of relative harmonic nonlinear factor with material at high temperature aging time in article " the non-linear ultrasonic evaluation of HP40Nb alloy steel high temperature deterioration ", and the microstructure after the change of discovery nonlinear factor and material at high temperature damage changes closely related.Tax state is two uses the fatigue damage degree of harmonic non-linear supersonic detection method to the outer coil spring of train to characterize at article " the non-linear ultrasonic test of train cylindrical spring fatigue damage ".
The mechanical property degradation of material in " AZ31 magnesium alloy early mechanics characteristics degenerate non-linear Ultrasonic Detection " is to AZ31 Fatigue of Magnesium Alloys crackle test specimen such as this seminar Wu Bin has carried out the research that non-linear ultrasonic detects, experimental result shows, ultrasound non-linear coefficient can characterize the tired degenerative process of AZ31 magnesium alloy, and the mechanical property degradation degree of the Fatigue Life Curve obtained to materials and structures carries out fatigue life prediction potential using value.But existing achievement in research only considers the non-linear ultrasonic coefficient of test specimen to be measured under single fixed frequency pumping signal.Because ultrasonic probe has certain frequency span, so the present invention proposes to adopt the accumulation nonlinear effect in certain frequency band range to characterize the thermo-oxidative ageing degree of organic material.
For the research of Nonlinear Cumulative effect, the distinct Nonlinear Cumulative damage proposing the fatigue of concept to layered solid plate structure of stress wave damage factor, high-temerature creep and surface nature subtle change " Nonlinear Lamb wave propagation of layered structure surface nature levies method surely " of Deng is studied, but it only considers first-harmonic and second harmonic Nonlinear Cumulative effect separately, be not the damage weighing plate structure with nonlinear factor, and its application is supersonic guide-wave.
In the non-linear ultrasonic detect delay of organic material, A.Demcenko adopts the dynamic process of the method for mixing non-linear ultrasonic to the physically aged of thermoplastic PMMA and epoxy resin to be studied at " Noncollinear wave mixing for measurement of dynamic processes in polymers:Physical ageing in thermoplastics and epoxy cure ", and result shows that non-linear ultrasonic has very high sensitivity to the aging of macromolecular material.But mixing non-linear ultrasonic requires harsh to the wave mode of pumping signal, and required pick-up unit is more complicated compared with Harmonic Method.
In sum, on the Research foundation of forefathers, for the deficiency that the existing detection method of high-molecular organic material Aging Damage exists, this patent proposes a kind of organic material thermo-oxidative ageing assessment of impairments method based on non-linear ultrasonic technology.This method not only can carry out Non-Destructive Testing to the thermo-oxidative ageing damage of organic material, and the more important thing is and can characterize the accumulative process of thermo-oxidative ageing damage, the life prediction for organic material provides reliable reference information.
Summary of the invention
The present invention is intended to propose a kind of organic material thermo-oxidative ageing damage detecting method, particularly based on the organic material early stage thermo-oxidative ageing damage lossless detection method of non-linear ultrasonic technology.Using piezoelectric ultrasonic probe placement in surface of test piece to be measured as stimulus sensor, utilize piezoelectric sensor that centre frequency is incentive probe twice to be arranged in the offside received ultrasonic signal of incentive probe.Change probe excitation frequency, fundamental voltage amplitude under different excitation frequency point after time-domain signal Fourier transform and secondary harmonic amplitude is obtained by the mode of frequency sweep, and with second harmonic and fundamental voltage amplitude square ratio carry out the nonlinear factor that Calculating material damages, finally adopt the stress wave factor of improvement to calculate accumulation nonlinear factor in certain frequency range to characterize the accumulation of the thermo-oxidative ageing damage of organic material.
The organic material thermo-oxidative ageing assessment of impairments method based on non-linear ultrasonic technology that the present invention proposes, its ultimate principle is:
When organic material, under hot oxygen condition, Aging Damage occurs, its heterogeneous microstructure can change, and when sound wave is propagated wherein, particle vibration no longer meets linear elasticity relation, and the one dimension compressional wave nonlinear wave equations in solid dielectric is such as formula shown in (1):
ρ in formula
0---Media density (kg/m
3);
E
1---second order elasticity constant, and E
1be E with the pass of longitudinal wave velocity
1=ρ
0c
2, c is the velocity of sound;
E
2---three rank elastic constants.
Utilize iteration perturbation method, definition input single-frequency harmonic wave is:
u(x,t)=A
0sin(ωt-kx) (2)
Definition nonlinear factor is:
Simultaneous (1), (2), (3) try to achieve the approximate solution that equation (1) is accurate to 1 grade
As can be seen from formula (4), non-linear due to material, ripple changes at communication process medium frequency, except original frequencies omega, have also appeared higher hamonic wave 2 ω.From (4) formula, fundamental voltage amplitude is
A
1=A
0(5)
Secondary harmonic amplitude is
From equation (6), the amplitude of second harmonic and frequency square, the ultrasound non-linear coefficient of the Distance geometry material of ultrasonic propagation is directly proportional.And then the nonlinear factor that can obtain material is:
In formula, k=ω/c is wave number, and ω is angular frequency, and c is velocity of wave, A
1and A
2be respectively first-harmonic and secondary harmonic amplitude, x is the distance that sound wave is propagated in test specimen.
But, the nonlinear factor β that formula (7) defines can only evaluate the material damage under single excitation frequency point, do not consider the accumulation of material nonlinearity effect under different excitation frequency, in order to strengthen signal intensity, we adopt the mode of frequency sweep to ask for nonlinear factor in certain band limits under each excitation frequency point to the integrated value of frequency, and the stress wave damage factor SWF that definition improves is such as formula shown in (8):
F in formula
1, f
2be respectively lower frequency limit and the upper limiting frequency of frequency sweep, determine sweep interval Δ f, definition, f
rfor f
1and f
2between a characteristic frequency, and meet
by calculating f
1and f
2between be spaced apart the corresponding nonlinear factor β of all Frequency points of Δ f, then integration is carried out to the nonlinear factor in swept frequency range, accumulation nonlinear effect in the certain band limits of final use characterizes the degree of injury of organic material thermo-oxidative ageing, the physical meaning that the stress wave factor SWF after this is improvement contains.
The technical solution used in the present invention is as follows:
Device of the present invention, see Fig. 1, comprises computing machine 1, nonlinear acoustics measurement (SNAP) system 2, signal selector 3, digital oscilloscope 4,50 Ω loaded impedance coupling 5, adjustable attenuator 6, low-pass filter 7, ultrasonic exciting probe 8, ultrasound wave receiving transducer 9, test specimen to be measured 10, Hi-pass filter 11, tunable preamplifier 12.It is characterized in that: be connected by signal wire between computing machine 1 with nonlinear acoustics measuring system 2, adopt the excitation of software set various state modulator nonlinear acoustics measuring system hardware and received ultrasonic signal and signal is processed; The high energy pulse signal output part of nonlinear acoustics measuring system 2 is by 50 Ω loads 4, adjustable attenuator 5, and then popping one's head in ultrasonic exciting after the high frequency noise in low-pass filter 7 filtering pumping signal 8 is connected; Ultrasonic probe 9 receives the ultrasonic signal through test specimen, and a road signal directly sends into nonlinear acoustics measuring system passage 1, and another road signal is via sending into nonlinear acoustics measuring system passage 2 after Hi-pass filter 11 and tunable preamplifier 12; Be connected with signal selector 3 by the radiofrequency signal monitoring client of nonlinear acoustics measuring system 2, Received signal strength sent into respectively computer software signal acquisition module and digital oscilloscope 4.
Its specific implementation step of organic material thermo-oxidative ageing assessment of impairments method based on non-linear ultrasonic technology that the present invention proposes is as follows:
Step one: the organic material test block preparing different thermo-oxidative ageing degree of injury.Test block to be measured is placed in high/low temperature ageing oven, and the parameters such as setting heating-up temperature, ventilation per hour, heating duration, prepare the test block to be measured of different thermo-oxidative ageing duration according to experimental design.
Step 2: detection system is built and optimum configurations.
(1) measure based on (SNAP) system by nonlinear acoustics, build detection system according to the experimental provision line block diagram shown in Fig. 1.
(2) pumping signal optimum configurations: comprise carrier-signal amplitude, width, valve control amplifier amplification stage, modulation signal type, frequency, amplitude, phase place, direct current biasing etc., send pumping signal into ultrasonic exciting probe 8 by computer software control SNAP hardware system.
(3) Received signal strength optimum configurations: open nonlinear acoustics measuring system multi-frequency tracking function, follows the trail of passage 1 signal base secondary frequencies, passage 2 signal double frequency simultaneously; Adjust receiving cable 1 and passage 2 Received signal strength gain amplifier respectively.
(4) integration door setting parameter: setting probe initial firing frequency, adjustment integration gate delay and integration gate-width degree.
(5) swept frequency range and sweep interval is set: according to the frequency band range of ultrasonic probe, determine the initial frequency f of frequency sweep
1, stop frequency f
2step delta f is increased with frequency.
Step 3: setpoint frequency stepped intervals Δ f, gathers different frequency point f
r=f
1fundamental voltage amplitude A corresponding to+n Δ f
1with secondary harmonic amplitude A
2signal, wherein n be 1,2 ...,
between positive integer.
Step 4: according to the computing formula of nonlinear factor
ask for each respective frequencies point f
runder material thermo-oxidative ageing damage nonlinear factor.
Step 5: adopt the stress wave factor improved
calculate in frequency f
1and f
2between organic material thermo-oxidative ageing damage accumulation nonlinear effect.
Step 6: according to the accumulation non-linear value measured in step () to step (five) corresponding to the different thermo-oxidative ageing time span of the organic material obtained, draw organic material thermo-oxidative ageing damage line.Finally, the initial non-linearities value when accumulation non-linear value recorded and material being without damage compares, having that it's too late degree of injury differentiates the damage of organic material thermo-oxidative ageing.
The present invention has the following advantages: 1) can detect the early stage thermo-oxidative ageing damage of organic material, and can measure the accumulation of Aging Damage; 2) do not need to carry out destructive test to material, achieve Non-Destructive Testing truly, and can realize continuous on-line monitoring, the foundation for the aging early warning mechanism of organic material provides analyzes data reliably.
Accompanying drawing explanation
Fig. 1 pick-up unit schematic diagram.
Fig. 2 heats different duration fundamental voltage amplitude with frequency change figure in high/low temperature ageing oven.
Fig. 3 heats different duration secondary harmonic amplitude with frequency change figure in high/low temperature ageing oven.
The nonlinear factor that Fig. 4 a different heating duration different frequency point is corresponding.
The nonlinear factor (to swept frequency range integration) of Fig. 4 b different heating duration different measuring point.
Fig. 5 organic glass test block accumulation non-linear value is with the variation diagram of heat time.
Fig. 6 is the implementing procedure figure of the inventive method.
In figure: 1, computing machine, 2, nonlinear acoustics measures (SNAP) system, and 3, signal selector, 4, digital oscilloscope, 5,50 Ω loaded impedance couplings, 6, adjustable attenuator, 7, low-pass filter, 8, ultrasonic exciting probe, 9, ultrasound wave receiving transducer, 10, test specimen to be measured, 11, Hi-pass filter, 12, tunable preamplifier.
Embodiment
The implementation process based on the high-molecular organic material thermo-oxidative ageing damage detecting method of non-linear ultrasonic technology is described in detail below in conjunction with Fig. 1 ~ Fig. 6.
The organic material to be measured selected in this experiment is polymethylmethacrylate (being commonly called as organic glass, english abbreviation PMMA), and it is of a size of: long 200mm, wide 25mm, high 50mm, and shape is rectangular parallelepiped.The temperature of thermo-oxidative ageing is 80 DEG C, and each measurement is spaced apart 10 hours.
Step one: the organic glass test block preparation to be measured of different thermo-oxidative ageing damage.The glass temperature of organic glass is 104 DEG C, and its heat distortion temperature is about 96 DEG C, so the design temperature selecting artificial accelerated aging test case is 80 DEG C, ventilation is 10m per hour
3, each heating duration is 10 hours.
Step 2: detection system is built and optimum configurations.
(1) detection system is built: the tunable preamplifier 12 that this organic glass thermo-oxidative ageing damage detection system comprises computing machine 1, nonlinear acoustics measures (SNAP) system 2, signal selector 3, digital oscilloscope 4,50 Ω loaded impedance coupling 5,7dB adjustable attenuator 6,2MHz low-pass filter 7, the ultrasonic exciting probe 8 of centre frequency 2MHz, the ultrasound wave receiving transducer 9 of centre frequency 4MHz, test specimen to be measured 10, Hi-pass filter 11, gain are 20dB.Line is carried out according to the pick-up unit system chart shown in Fig. 1.
(2) pumping signal optimum configurations: select pumping signal to be the sinusoidal signal that 10 cycles Hanning windows are modulated, pulse width was 10 cycles, by computer software control SNAP hardware system, pumping signal was sent into ultrasonic exciting probe 8.
(3) Received signal strength setting parameter: open SNAP system multi-frequency tracking function, follows the trail of passage 1 signal fundamental frequency, passage 2 signal two frequency multiplication simultaneously; Adjust that receiving cable 1 gain is 24dB, passage 2 gain of received signal is 44dB respectively; Regulate prime amplifier 11 enlargement factor.
(4) integration door setting parameter: setting probe initial firing frequency is 2MHz, the waveform signal that adjustment digital oscilloscope 4 shows, the adjustment integration gate delay time is 11.9 microseconds, and integration gate-width degree is 7.1 microseconds, make integration door just frame live the direct-path signal that ultrasonic probe 9 receives.
(5) swept frequency range is set: according to the frequency band range of ultrasonic probe, setting frequency sweep initial frequency f
1for 1MHz, stop frequency f
2for 3MHz, it is 0.01MHz that frequency increases step delta f at every turn.
Step 3: setpoint frequency stepped intervals Δ f is 0.01MHz, gathers different frequency point f
r=f
1fundamental voltage amplitude A corresponding to+n Δ f
1with secondary harmonic amplitude A
2signal, wherein n be 1,2 ...,
between positive integer, draw fundamental voltage amplitude A
1with secondary harmonic amplitude A
2change curve with frequency is distinguished as shown in Figures 2 and 3.
Step 4: according to the computing formula of nonlinear factor
ask for each respective frequencies point f
runder material thermo-oxidative ageing damage nonlinear factor, draw each Frequency point is corresponding in swept frequency range nonlinear factor as shown in Fig. 4 a.
Step 5: adopt the stress wave factor improved
calculate in frequency f
1and f
2between organic material thermo-oxidative ageing damage accumulation nonlinear effect.Each test block to be measured is chosen 9 different measurement points, obtains accumulation non-linear value that in each organic glass test block to be measured, different check point is corresponding as shown in Figure 4 b.
Step 6: according to the accumulation non-linear value measured in step () to step (five) corresponding to the different thermo-oxidative ageing time span of the organic material obtained, the mean value of the accumulation non-linear value of variant aging duration organic glass test block 9 measurement points in calculating chart 4b, final drafting organic material thermo-oxidative ageing damage line as shown in Figure 5.Finally, the initial non-linearities value when accumulation non-linear value recorded and material being without damage compares, and having that it's too late degree of injury differentiates the damage of organic material thermo-oxidative ageing, completes detection.As can be seen from Figure 5, along with the growth of heat time, organic glass nonlinear factor is in downward trend gradually.In addition, the new method proposed is very responsive to the earlier damage of organic glass thermo-oxidative ageing.
Concrete steps are as follows:
The high-energy incentive signal of single-frequency is produced by computer software control SNAP system, after the high-frequency interferencing signal produced because of power amplifier via 50 loaded impedances couplings, 7dB decay and the filtering of 2MHz low-pass filter, this signal is delivered to the ultrasonic probe that centre frequency is 2MHz, in organic glass test block to be measured, motivates ultrasound wave.The centre frequency being arranged on probe offside is the voltage signal that the receiving transducer of 4MHz detects through organic glass test block, SNAP system channel 1 is directly sent on this voltage signal one tunnel, another road signal is first through 4MHz Hi-pass filter filtering first-harmonic composition, SNAP system channel 2 is sent into after again enlarge leadingly being carried out to faint second harmonic signal, utilize SNAP system to the tracking function of fundamental frequency and two frequency-doubled signals, fundamental signal and second harmonic signal followed the trail of simultaneously and preserve data.Obtain frequency sweep obtains between 1MHz to 3MHz fundamental voltage amplitude with excitation frequency change curve as shown in Figure 2, secondary harmonic amplitude with excitation frequency change curve as shown in Figure 3.Then by formula (8), accumulation nonlinear effect is calculated, obtain organic glass test block nonlinear factor with heating duration variation tendency as shown in Figure 5.As can be seen from Figure 5, along with the growth of heat time, organic glass nonlinear factor is in downward trend gradually.In addition, the new method proposed is very responsive to the earlier damage of organic glass thermo-oxidative ageing, shows that the method can detect the thermo-oxidative ageing damage problem of high-molecular organic material.
Be more than a typical apply of the present invention, application of the present invention is not limited to the thermo-oxidative ageing damage check of organic material, also can be used for other Aging Damage and detects, as illumination ageing, ozone aging etc.
Claims (2)
1. the organic material thermo-oxidative ageing assessment of impairments method based on non-linear ultrasonic builds a detection system, it is characterized in that: this system comprises computing machine (1), nonlinear acoustics measuring system (2), signal selector (3), digital oscilloscope (4), 50 Ω loaded impedance coupling (5), adjustable attenuators (6), low-pass filter (7), ultrasonic exciting probe (8), ultrasound wave receiving transducer (9), test specimen to be measured (10), Hi-pass filter (11), tunable preamplifier (12); Be connected by signal wire between computing machine (1) with nonlinear acoustics measuring system (2), adopt the excitation of software set various state modulator nonlinear acoustics measuring system hardware and received ultrasonic signal and signal is processed; The high energy pulse signal output part of nonlinear acoustics measuring system (2) is by 50 Ω loads (4), adjustable attenuator (5), and then pop one's head in ultrasonic exciting after the high frequency noise in low-pass filter (7) filtering pumping signal (8) are connected; Ultrasonic probe (9) receives the ultrasonic signal through test specimen, one road signal directly sends into nonlinear acoustics measuring system passage 1, and another road signal is via sending into nonlinear acoustics measuring system passage 2 after Hi-pass filter (11) and tunable preamplifier (12); Be connected with signal selector (3) by the radiofrequency signal monitoring client of nonlinear acoustics measuring system (2), Received signal strength sent into respectively computer software signal acquisition module and digital oscilloscope (4).
2., based on an organic material thermo-oxidative ageing assessment of impairments method for non-linear ultrasonic, it is characterized in that: detection method step is as follows,
Step one: the organic material test block preparing different thermo-oxidative ageing degree of injury; Test block to be measured is placed in high/low temperature ageing oven, and the parameters such as setting heating-up temperature, ventilation per hour, heating duration, prepare the test block to be measured of different thermo-oxidative ageing duration according to experimental design;
Step 2: detection system is built and optimum configurations;
(1) based on nonlinear acoustics measuring system, detection system is built;
(2) pumping signal optimum configurations: comprise carrier-signal amplitude, width, valve control amplifier amplification stage, modulation signal type, frequency, amplitude, phase place, direct current biasing etc., send pumping signal into ultrasonic exciting probe (8) by computer software control SNAP hardware system;
(3) Received signal strength optimum configurations: open nonlinear acoustics measuring system multi-frequency tracking function, follows the trail of passage 1 signal base secondary frequencies, passage 2 signal double frequency simultaneously; Adjust receiving cable 1 and passage 2 Received signal strength gain amplifier respectively;
(4) integration door setting parameter: setting probe initial firing frequency, adjustment integration gate delay and integration gate-width degree;
(5) swept frequency range and sweep interval is set: according to the frequency band range of ultrasonic probe, determine the initial frequency f of frequency sweep
1, stop frequency f
2step delta f is increased with frequency;
Step 3: setpoint frequency stepped intervals Δ f, gathers different frequency point f
r=f
1fundamental voltage amplitude A corresponding to+n Δ f
1with secondary harmonic amplitude A
2signal, wherein n be 1,2 ...,
between positive integer;
Step 4: according to the computing formula of nonlinear factor
ask for each respective frequencies point f
runder material thermo-oxidative ageing damage nonlinear factor;
Step 5: adopt the stress wave factor improved
calculate in frequency f
1and f
2between organic material thermo-oxidative ageing damage accumulation nonlinear effect;
F in formula
1, f
2be respectively lower frequency limit and the upper limiting frequency of frequency sweep, determine sweep interval Δ f, definition, f
rfor f
1and f
2between a characteristic frequency, and meet f
r=f
1+ n Δ f,
by calculating f
1and f
2between be spaced apart the corresponding nonlinear factor β of all Frequency points of Δ f, then integration is carried out to the nonlinear factor in swept frequency range, accumulation nonlinear effect in the certain band limits of final use characterizes the degree of injury of organic material thermo-oxidative ageing, the physical meaning that the stress wave factor SWF after this is improvement contains;
Step 6: according to the accumulation non-linear value measured in step one to step 5 corresponding to the different thermo-oxidative ageing time span of the organic material obtained, draw organic material thermo-oxidative ageing damage line; Finally, the initial non-linearities value when accumulation non-linear value recorded and material being without damage compares, having that it's too late degree of injury differentiates the damage of organic material thermo-oxidative ageing.
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