CN106250636A - A kind of cement-based material fatigue failure model considering stress level and the method for building up of repeated strain probabilistic model - Google Patents
A kind of cement-based material fatigue failure model considering stress level and the method for building up of repeated strain probabilistic model Download PDFInfo
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- CN106250636A CN106250636A CN201610631305.1A CN201610631305A CN106250636A CN 106250636 A CN106250636 A CN 106250636A CN 201610631305 A CN201610631305 A CN 201610631305A CN 106250636 A CN106250636 A CN 106250636A
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Abstract
The invention discloses a kind of cement-based material fatigue failure model considering stress level and the method for building up of repeated strain probabilistic model.The fatigue failure that semi-static load based on cement-based material lost efficacy under strain and different stress level strains, and can simply and quickly obtain the repeated strain probabilistic model of cement-based material.On the one hand described model can predict the probability of fatigue failure of the structure of cement-based material and use cement-based material by repeated strain, on the other hand, can be calculated the repeated strain of cement-based material and structure by the setting of probability of fatigue failure, the fatigue behaviour for corresponding construction designs and under fatigue load, duty status detection and the evaluation of structure provide new way and new method.
Description
Technical field
Patent of the present invention belongs to cement-based material Fatigue Probability technical field.
Background technology
Cement-based material is the engineering material using cement as Binder Materials.Since the Portland cement appearance of 19th century,
The cement matrixs such as concrete are widely used in the engineering fields such as traffic, building, water conservancy, ocean, are that in engineering construction, consumption is maximum
Material.20 beginnings of the century, along with construction and the development of Reinforced Concrete Bridge, the correlational study to cement-based material fatigue behaviour
The most progressively carry out.Since 21 century, along with highway, high-speed railway, high-rise building, extra-high dam, bridge spanning the sea, ocean
Fatigue behaviour in the construction of the Large Infrastructure Projects such as platform, cement-based material and structure application thereof becomes field of civil engineering and closes
One of emphasis of note.There is the feature that discreteness is bigger in the fatigue behaviour parameter of cement-based material, thus would generally introduce probability
The concept of distribution characterizes its Fatigue Reliability.For fatigue life of cement-based material for probability distribution, the most phase
The document report closed, during engineer applied, engineer is also adopted by this type of method prediction material and the fatigue life of structure.
And repeated strain is another important fatigue behaviour parameter of cement-based material, with fatigue life or fatigue life cycle phase
Ratio, repeated strain is easier to observed and measures.But not yet have the probability distribution to cement-based material repeated strain at present
Correlational study is reported.Meanwhile, for using each class formation of cement-based material, the stress level of institute's bearing load is also
It is not quite similar.It is therefore proposed that a kind of cement-based material repeated strain probabilistic model considering stress level, it can be corresponding construction
Fatigue behaviour design and fatigue load under the duty status detection of structure and evaluation new way and new method are provided.
Summary of the invention
It is an object of the present invention to provide a kind of cement-based material probability of fatigue failure model considering stress level
Method for building up.To this end, the present invention is by the following technical solutions:
The method for building up of a kind of cement-based material probability of fatigue failure model considering stress level, is characterized in that, including
Following steps:
(1) organize the fatigue failure strain under different stress levels of certain cement-based material according to more, obtain each stress
The Weibull distribution parameters of fatigue failure strain under level: scale parameter λS, form parameter kS, S represents the stress water of this group sample
Flat, S is to represent semi-static load when 1；Semi-static load according to described cement-based material lost efficacy and strained, and obtained semi-static load
Lost efficacy the Weibull distribution parameters strained: scale parameter λ1, form parameter k1, location parameter ε1。
Described fatigue failure strain is that under each stress level, fatigue failure corresponding to peak load suffered by sample should
Become.
Described semi-static load inefficacy strain is answering corresponding to semi-static load stress-strain diagram upward peak stress
Become.
In this step, described each stress level (S can be obtained1、S2、……、Sn) ratio that strains of the lower fatigue failure of effect
Example parameter lambdaS1、λS2、……、λSn, form parameter kS1、kS2、……、kSn, and the ratio of described semi-static load inefficacy strain
Parameter lambda1, form parameter k1, location parameter ε1。
(2) function g (S)=k is set up1/kS；Set up function h (s)=λS/λ1^g(S)。
In this step, by data point k1/kS1、k1/kS2、……、k1/kSn, the function about Loading frequency S can be set up
G (S), the form of described function g (S) can be arbitrarily to meet the functional form of above-mentioned data point.On this basis, data are passed through
Point λS1/λ1^g(S1)、λS2/λ1^g(S2)、……、λSn/λ1^g(Sn), the function h (S) about Loading frequency S, institute can be set up
The form stating function h (S) can be arbitrarily to meet the functional form of above-mentioned data point.
(3) according to above-mentioned steps parameters obtained and function, described cement-based material is when described stress level S effect,
A certain repeated strain ε under big loadSCorresponding probability of fatigue failure PF is:
It is a further object to provide a kind of cement-based material repeated strain probabilistic model considering stress level
Method for building up, to this end, the present invention is by the following technical solutions:
The method for building up of a kind of cement-based material repeated strain probabilistic model considering stress level, comprises the following steps:
(1) organize cement-based materials fatigue failure strain under different stress levels according to more, obtain each stress level
The Weibull distribution parameters of lower fatigue failure strain: scale parameter λS, form parameter kS, S represents the stress level of this group sample, S
It is to represent semi-static load when 1；Semi-static load according to described cement-based material lost efficacy and strained, and obtains semi-static load and lost efficacy
The Weibull distribution parameters of strain: scale parameter λ1, form parameter k1, location parameter ε1。
Described fatigue failure strain is that under each stress level, fatigue failure corresponding to peak load suffered by sample should
Become.
Described semi-static load inefficacy strain is answering corresponding to semi-static load stress-strain diagram upward peak stress
Become.
In this step, described each stress level (S can be obtained1、S2、……、Sn) ratio that strains of the lower fatigue failure of effect
Example parameter lambdaS1、λS2、……、λSn, form parameter kS1、kS2、……、kSn, and the ratio of described semi-static load inefficacy strain
Parameter lambda1, form parameter k1, location parameter ε1。
(2) function g (S)=k is set up1/kS；Set up function h (s)=λS/λ1^g(S)。
In this step, by data point k1/kS1、k1/kS2、……、k1/kSn, the function about Loading frequency S can be set up
G (S), the form of described function g (S) can be arbitrarily to meet the functional form of above-mentioned data point.On this basis, data are passed through
Point λS1/λ1^g(S1)、λS2/λ1^g(S2)、……、λSn/λ1^g(Sn), the function h (S) about Loading frequency S, institute can be set up
The form stating function h (S) can be arbitrarily to meet the functional form of above-mentioned data point.
(3) according to above-mentioned steps parameters obtained and function, described cement-based material is when described stress level S effect, tired
The repeated strain ε under peak load corresponding to labor failure probability PFSFor:
Formula 2 can be obtained by equation deformation by formula 1.
The invention has the beneficial effects as follows: present invention semi-static load based on certain cement-based material lost efficacy and strains and different
Fatigue failure strain under stress level, can simply and quickly obtain the repeated strain probabilistic model of described cement-based material.
On the one hand described model can predict the fatigue of the structure of cement-based material and use cement-based material by repeated strain
Failure probability, on the other hand, can calculate the repeated strain of cement-based material and structure by the setting of probability of fatigue failure.
Described model can be that the fatigue behaviour design of corresponding construction provides with duty status detection and the evaluation of structure under fatigue load
New way and new method.
Accompanying drawing explanation
Fig. 1 is repeated strain data described in the embodiment of the present invention and probabilistic model result
Detailed description of the invention
Being described further the detailed description of the invention of technical scheme provided by the present invention below in conjunction with the accompanying drawings, this enforcement is real
Example is the description of the invention rather than the present invention makes any restriction.
Sample to superhigh tenacity cement-based material carries out the uniaxial compression fatigue experiment of 3 kinds of stress levels, described material
Semi-static load comprcssive strength meansigma methods is 42.3MPa.Stress ratio R is 0.1, Loading frequency is 4Hz, stress level
It is respectively the fatigue test of 0.90,0.80,0.70, it is thus achieved that the fatigue failure strain of sample under each stress level.To described water
Cement-based material carries out quasistatic uniaxial compression test, it is thus achieved that semi-static load lost efficacy and strains.Above-mentioned strain is as shown in the table:
Obtain the scale parameter λ of semi-static load inefficacy strain1It is 0.773, form parameter k1It is 15.49, location parameter ε1
It is 0；Stress level is the scale parameter λ of the fatigue failure strain of 0.900.90It is 0.954, form parameter k0.90It is 9.93；Stress
Level is the scale parameter λ of the fatigue failure strain of 0.800.80It is 1.07, form parameter k0.80It is 9.42；Stress level is 0.70
Fatigue failure strain scale parameter λ0.80It is 1.41, form parameter k0.70It is 3.36.
According to above-mentioned data, pass through k1/kSObtain function g (S)=1+9.056 (1-S)；On the basis of function g (S), logical
Cross λS/λ1^g (S) obtains function h (S)=(1/S) ^3.64.It is pointed out that function g (S), h (S) may be used without other
Meaning meets the expression formula of condition.
According to above-mentioned steps parameters obtained and function, superhigh tenacity cement-based material is when described stress level S effect,
Repeated strain ε under big loadSCorresponding probability of fatigue failure PF is:
According to the above-mentioned expression formula of gained, deformed by equation, superhigh tenacity cement-based material can be obtained further and exist
Repeated strain ε during described stress level S effect, under the peak load corresponding to probability of fatigue failure PFSFor:
εS=0.7731+9.056(1-S)(1/S)3.64[-ln(1-PF)](1+9.056(1-S))/15.49。
Gained fatigue failure strain probabilistic model result of calculation and actual measurement fatigue failure strain are as it is shown in figure 1, gained model
The impact of repeated strain probability distribution and Loading frequency can be accurately reflected.
Claims (6)
1. consider a method for building up for the cement-based material probability of fatigue failure model of stress level, it is characterized in that, including with
Lower step:
(1) organize cement-based materials fatigue failure strain under different stress levels according to more, obtain under each stress level tired
The Weibull distribution parameters of labor inefficacy strain: scale parameter λS, form parameter kS, S represents the stress level of this group sample, and S is 1
Time represent semi-static load；Semi-static load according to described cement-based material lost efficacy and strained, and obtaining semi-static load inefficacy should
The Weibull distribution parameters become: scale parameter λ1, form parameter k1, location parameter ε1；
(2) function g (S)=k is set up1/kS；Set up function h (s)=λS/λ1^g(S)；
(3) according to above-mentioned steps parameters obtained and function, described cement-based material when described stress level S effect, maximum lotus
A certain repeated strain ε under ZaiingSCorresponding probability of fatigue failure PF is:
The foundation side of a kind of cement-based material probability of fatigue failure model considering stress level the most according to claim 1
Method, is characterized in that, described fatigue failure strain refers to, fatigue corresponding to peak load suffered by sample under each stress level
Lost efficacy and strained.
The foundation side of a kind of cement-based material probability of fatigue failure model considering stress level the most according to claim 1
Method, is characterized in that, described semi-static load inefficacy strain refers to that semi-static load stress-strain diagram upward peak stress institute is right
The strain answered.
4. consider a method for building up for the cement-based material repeated strain probabilistic model of stress level, it is characterized in that, including with
Lower step:
(1) organize cement-based materials fatigue failure strain under different stress levels according to more, obtain under each stress level tired
The Weibull distribution parameters of labor inefficacy strain: scale parameter λS, form parameter kS, S represents the stress level of this group sample, and S is 1
Time represent semi-static load；Semi-static load according to described cement-based material lost efficacy and strained, and obtaining semi-static load inefficacy should
The Weibull distribution parameters become: scale parameter λ1, form parameter k1, location parameter ε1；
(2) function g (S)=k is set up1/kS；Set up function h (s)=λS/λ1^g(S)；
(3) according to above-mentioned steps parameters obtained and function, described cement-based material is when described stress level S effect, and fatigue is lost
Repeated strain ε under effect peak load corresponding to probability P FSFor:
The foundation side of a kind of cement-based material repeated strain probabilistic model considering stress level the most according to claim 3
Method, is characterized in that, described fatigue failure strain refers under each stress level the fatigue suffered by sample corresponding to peak load
Lost efficacy and strained.
The foundation side of a kind of cement-based material repeated strain probabilistic model considering stress level the most according to claim 3
Method, is characterized in that, described semi-static load inefficacy strain refers to that semi-static load stress-strain diagram upward peak stress institute is right
The strain answered.
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| CN109522569A (en) * | 2017-09-19 | 2019-03-26 | 浙江大学 | A kind of fatigue life of concrete prediction technique and device based on Weibull equation and residual deformation |
| CN109522570A (en) * | 2017-09-19 | 2019-03-26 | 浙江大学 | A kind of concrete fatigue deformation evolution model based on index W eibull equation |
| CN110400608A (en) * | 2019-06-13 | 2019-11-01 | 浙江大学建筑设计研究院有限公司 | The assessment method that cement-based material intensity changes with age |
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| CN109522569A (en) * | 2017-09-19 | 2019-03-26 | 浙江大学 | A kind of fatigue life of concrete prediction technique and device based on Weibull equation and residual deformation |
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| CN109522570B (en) * | 2017-09-19 | 2020-09-18 | 浙江大学 | Concrete fatigue deformation evolution model based on index Weibull equation |
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