CN110286045A - Asphalt fatigue properties temperature dependency characterizing method under three-dimensional stress constraint - Google Patents
Asphalt fatigue properties temperature dependency characterizing method under three-dimensional stress constraint Download PDFInfo
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- G—PHYSICS
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- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
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- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N3/32—Investigating strength properties of solid materials by application of mechanical stress by applying repeated or pulsating forces
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Abstract
The invention discloses asphalt fatigue properties temperature dependency characterizing methods under three-dimensional stress constraint, and in particular to field of road, embodiments method are as follows: intensity yield surface model S1, is established based on three-dimensional stress constraint；S2, asphalt yield surface receptance function is established；The determination in fatigue stress path under S3, different stress；S4, the Analysis of Fatigue Behavior new method based on yield criterion thought.The method of the present invention has redefined fatigue equation, and influence of the combination temperature to fatigue life from three-dimensional angle, is characterized with temperature to fatigue life.The fatigue life equation that this method determines, it is more scientific, also more meet reality, directive function can be played to China's bituminous pavement design.
Description
Technical field
The present invention relates to technical field of road engineering, it is more particularly related to which pitch is mixed under three-dimensional stress constraint
Close material fatigue properties temperature dependency characterizing method.
Background technique
Communications and transportation is the lifeblood of national economy, and with the development of economic construction, the demand to traffic is increasingly improved；Closely
For over ten years, the highway construction in China obtained swift and violent development, especially high-grade highway growth momentum it is more powerful,
Department of Transportation's statistical communique is shown: the end of the year 2017 of cut-off, 477.35 ten thousand kilometers of national total mileage of highway occupy the second in the world,
Wherein highway total kilometrage is up to 13.65 ten thousand kilometers.Tens of thousands of kilometers of highways and million public affairs are also created in more than ten years from now on
In common road, more there is millions of kilometers of highway to need upgrading, wherein the high-grade highway overwhelming majority be asphalt road
Face.
China has accumulated experience abundant in the Construction Practice of Asphalt Pavement of Highway, solves many keys
Matter of science and technology.But bituminous pavement its expected structure behavior response characteristic for being built by current design methods, performance development rule
There are biggish discrepancy with actual conditions for rule etc., produce so as to cause the public to work such as the designs, construction and maintenance of bituminous pavement
It is raw to query, cause undesirable social influence.Tracing it to its cause is caused by many factors, but with elder generation present in design method
Its deficiency but has direct relationship.
China's Analyzing Design Procedures for Asphalt Pavement uses mechanics-empirical method: being rung with the load that mechanics method calculates pavement structure
It answers, the mechanical model calculated using homogeneous isotropism Linear elastic mechanics as structural response, elasticity modulus is calculating parameter；Through
The method tested determines the drag of pavement structure, is investigated by laboratory test and a large amount of on-site test, collapse state, in conjunction with material
The intensity and fatigue properties of material, determine the design standard of pavement structure.The material parameter that asphalt pavement structure design uses has:
Intensive parameter: ultimate strength.The drag of each structure sheaf is determined by ultimate strength and structural fatigue strength characteristics.Stiffness parameters: it returns
Play modulus-calculating pavement structure mechanical response.Damage parameters: structural fatigue strength characteristics.
For a long time, the research of asphalt fatigue properties is always the hot spot of domestic and international road worker general concern
Problem.Under wheel load effect, bituminous pavement is in apparent 3 D complex stress state, the three-dimensional principal stress born
It differs, thereby increases and it is possible to be the various combination of pressure or tensile stress.Under the effect of three-dimensional compression load, the intensity of asphalt is had
Increased；Under tension and compression load action, the intensity of asphalt may be reduced.Therefore, existing to be answered with maximum drawing
Asphalt pavement structure design method of the power as failure criteria, it is relatively conservative sometimes, it sometimes also can danger close.
One-dimensional criterion of strength used by bituminous pavement design is unable to the actual triaxiality shape of objective characterisation bituminous pavement
State, asphalt pavement structure each point are in complex stress condition, and bituminous pavement design is using maximum tension stress and maximum stretching strain
Criterion of strength only considered one-dimensional stress state, and the destruction for characterizing material under three-dimensional stress constraint using one-dimensional criterion of strength is special
Sign does not account for other influences of ess-strain component to destruction in addition to maximum tension stress (stretching strain).In order to it is more objective,
Destruction situation that is comprehensive, scientifical, accurately characterizing pavement structure, the complexity that should introduce three-dimensional stress constraint road pavement structure are answered
Power situation is characterized, therefore the present invention proposes a kind of characterizing method of asphalt fatigue properties under three-dimensional stress constraint.
Secondly, pitch is a kind of temperature-sensitive material, its fatigue properties is considered, it is necessary to consider the influence of temperature.
Temperature fatigue destruction cannot be neglected, and from the angle analysis of load mode, the load of lower frequency is temperature
The main feature of fatigue.What most pertinent literature considered is the load fatigue properties of material, and the temperature fatigue of low frequency is ground
Study carefully less.Biggish temperature difference can be often generated in cold district inside asphalt surface course, usual strong wind weather be easy to cause temperature big
Width reduces, and especially asphalt surface temperature declines rapidly, and has certain prolong in the decline of asphalt bottom temp
Late, so inevitably there is the temperature difference in inside and outside.Therefore there is a degree of temperature shrinkage always in asphalt surface course to answer
Power, and since cool winds acts on, so that facing surface temperature shrinkage stress is maximum.If it is strong that this shrinkage stress is greater than its curved drawing
Degree, asphalt surface course will generate microcrack.In southern rainy regions, even if in summer, due to regular rapid drawdown heavy rain, equally
Asphalt surface temperature can be made to decline 30 DEG C, biggish shrinkage stress generates therewith, and such case can have a daytime
Repeatedly.To sum up, the temperature fatigue destruction of asphalt is since the ringing of temperature shrinkage stress makes microfissure
Constantly extension generates.
Summary of the invention
In order to overcome the drawbacks described above of the prior art, the embodiment of the present invention provides pitch under three-dimensional stress constraint and mixes
Expect fatigue properties temperature dependency characterizing method, passes through.
To achieve the above object, the invention provides the following technical scheme: asphalt fatigue is special under three-dimensional stress constraint
Property temperature dependency characterizing method, embodiments method are as follows:
S1, intensity yield surface model is established based on three-dimensional stress constraint；
S1.1, the failure criteria for establishing asphalt pavement material under three-dimensional stress constraint, it is countless by a little being made in object
The stress on certain point is expressed with these three sections, i.e., wherein selecting three mutually perpendicular sections in the section of a different orientation
Stress state is divided into three-dimensional stress constraint, two dimension is answered according to the stress value on three principal axes of stress by the stress state of this point
Power state and uniaxial stressed state；
S1.2, it is based on octahedral-shear strength theory, in any stress state stress-space when by material damage
A point uniquely characterize, when material damage, all stress state constituted a continuous curve surface in stress-space, the song
Face is the intensity yield surface of material, in intensity yield surface, establishes principal stress space coordinate, generates intensity yield surface model；
In intensity yield surface model, the projection inclined on face is being waited by the principal axes of stress, is determining σ1’、σ2’、 σ3' axis, so
By coordinate origin and σ1’、σ2’、σ3' axis determines isocline line；
In intensity yield surface model, projection of the force vector in isocline line will arbitrarily be answered to use octahedron just in stress-space
Stress indicates；Force vector will be answered to wait the projection inclined on face to be indicated with octahedral shear stress；The force vector direction angle Luo De table will be answered
Show；
In intensity yield surface model, the yield point intersection stretched under different hydrostatic pressures, which is formed, draws meridian, different quiet
The yield point intersection compressed under water pressure forms pressure radial, all different stress lower yield points under a certain hydrostatic pressure
Intersection forms failure envelope, and failure envelope includes different stress；Finally in the intensity yield surface of different stress
It is found in model by the method for fatigue properties normalizing under different stress；
S1.2.3, using Tresca yield condition and Mises yield condition, confirm the yield surface of asphalt and broken
Less, obtained yield criterion value represents the extent of the destruction of asphalt to the difference of bad face；
S2, asphalt yield surface receptance function is established；
The plastic response of earth working material and asphalt under hydrostatic stress is described using the receptance function of yield surface；
The determination in fatigue stress path under S3, different stress；
Fatigue test is carried out under different stress, using primary stress level as fatigue under Stress Control mode
Peak value, the initial point of fatigue test uses coordinate representation under different loading speeds in intensity yield surface under different stress, no
Tired trajectory line, i.e. fatigue stress path are formed with the stress state point under load number, then to tired under different stress
Labor process puts carry out linear fit always, establishes the Tiredness model under three-dimensional stress constraint；
S4, the Analysis of Fatigue Behavior new method based on yield criterion thought；
Using yield criterion thought, answered using fatigue under intensity yield surface under different stress and different stress
Power path, influence of the combination temperature to fatigue life are modified Tiredness model by temperature, obtain a kind of triaxiality
The temperature dependency expression of asphalt fatigue properties under state, specifically:
Distance, that is, CD length of original state point C to collapse state point D characterize its antifatigue destruction in trajectory line
Ability, CD is longer, and anti-fatigue ability is stronger, characterizes the ability of its antifatigue destruction with the length ratio of OC and OD at this time,
That is:
On the other hand, ordinate, that is, shear stress strength of breakdown point D pointIt characterizes in corresponding fatigue test condition
Under, the ability of collapse resistance possessed by material or structure, for determining yield surface condition, i.e. shear stress strengthCentainly
In the case where, initial shear stress intensity when fatigue testSmaller, anti-fatigue performance is stronger, at this time with C point and D point
The ratio between ordinate characterize the ability of its antifatigue destruction, it may be assumed that
As seen from the above analysis, two formulas all have specific mechanics physical significance, and the numerical values recited of the two is also phase
Deng, it may be assumed that
In a preferred embodiment, in the step S1.1, only direct stress effect, is cut on the section made
Stress is equal to zero, and three-dimensional stress constraint is that three principal stresses are not equal and stress state all not equal to zero；Two-dimensional state of stress
For the null stress state of only one principal stress in three principal stresses, uniaxial stressed state is to have two in three principal stresses
A null stress state of principal stress.
In a preferred embodiment, in the step S1.2, for isotropic material, three-dimensional stress constraint
Intensity yield surface is only related to internal material, density and voidage, and external cause is related to temperature, air pressure and loading speed.
In a preferred embodiment, in the step S1.2: in the principal stress space, cross coordinate origin and with
σ1、σ2、σ3The identical straight line of the angle of axis is known as isocline line；The plane vertical with isocline line is referred to as etc. face of inclining, to correspond to single
Octahedra plane on first body, the principal axes of stress are waiting the projection σ to incline on face1’、σ2’、σ3' axis indicates that their angle is
120°。
In a preferred embodiment, in the step S1.2, arbitrarily answer force vector in isocline line in stress-space
Be projected as octahedral normal stress σoct,
σoct=(σ1+σ2+σ3)/3
This is projected as octahedral shear stress τ on face waiting to inclineoct
Its direction is indicated with the angle Luo De θ
In a preferred embodiment, in the step S1.2, failure envelope be collapse envelope with etc. face of inclining
Intersection, failure envelope is closed curve, and size changes with mean stress, but shape is similar, in isotropism item
Under part, the symmetry axis that is projected as failure envelope of the principal axes of stress on collapse envelope is symmetrical due to failure envelope
Property, as long as obtaining 0-60 ° of failure envelope, entire failure envelope can be obtained by mapping.
In a preferred embodiment, in the step S1.2, the drawing meridian are as follows: isocline line and σ1Axis institute
At plane and the curve handed over of failure mechanics；Meridian is drawn to wait projection and the σ to incline on face1Overlapping of axles, the angle Luo De are 0 °；Institute
State pressure radial are as follows: isocline line and σ3The curve that plane formed by axis and failure mechanics are handed over, pressure radial are waiting the throwing inclined on face
Shadow and σ3Overlapping of axles, the angle Luo De are 60 °.
In a preferred embodiment, in the step S2, yield surface can be applied to stress invariant space and
Strain invariant space, under stress invariant steric requirements, the expression-form of yield surface are as follows:
In formula: I1For the first invariant of stress tensor；J2Respectively the second diviatoric stress tensor invariant, J3Not for third deviatoric stress
Variable,PaFor atmospheric pressure；α, β, γ, n, R are model parameter；
By I1、J2Expression formula compared with octahedra principal stress, shear stress formula, obtain
Therefore, existSpace, the yield surface that yield surface expression formula indicates are a closed surface, and this envelope
The three-dimensional coordinate of closed surface and the three-dimensional coordinate of octahedral shear stress intensity yield surface are at multiple proportion, it was demonstrated that yield surface model
There is identity with octahedral shear stress intensity yield surface model；Under uniaxial stressed state, model parameter α, β are answered in peak value
It is 0 at power, therefore yield surface existsSpace will degenerate for straight line [75], and expression-form is as follows:
That is:
?Space, the yield surface that above formula indicates are straight line, and expression formula shown in the above formula left side is
The criterion amount of Mises yield condition, physical significance are shear stress strength,I.e. above formula meets Mises yield condition.
In a preferred embodiment, in the step S3, fatigue stress path side under different stress is defined
Journey are as follows:
In a preferred embodiment, in the step S4, pitch under different temperatures is fitted by origin software
The Fatigue Life Curve of mixture；K value n value can be obtained, then parameter n and k variation with temperature is fitted again；It obtains
Following relationship:
This relational expression by fatigue life and temperature foundation contact, by the fatigue life under three-dimensional stress constraint with temperature into
Characterization is gone.
Technical effect and advantage of the invention:
1, the failure criteria of the invention by establishing asphalt pavement material under three-dimensional stress constraint, is based on triaxiality shape
State establishes intensity yielding model, is based on octahedral-shear strength theory, and any stress state when material damage can use stress
A point in space uniquely characterizes, and when material damage, may make up in stress-space one of all stress state was continuous
Curved surface, the curved surface are known as the intensity yield surface of material, then, carry out the fatigue test of different stress, based on octahedron
In shear stress strength theory three-dimensional stress state yield surface model, failure envelope represents all differences under a certain hydrostatic pressure
Therefore stress state lower yield point intersection can find three-dimensional in the intensity yield surface model for including different stress
Tiredness model under stress state.Test result is brought into intensity yield surface in coordinate, three-dimensional stress constraint can be established
Under Tiredness model；Finally, influence of the combination temperature to fatigue life, is modified Tiredness model by temperature, obtains one
The temperature dependency expression of asphalt fatigue properties under kind three-dimensional stress constraint, angle weight of this method from three-dimensional
Fatigue equation, and influence of the combination temperature to fatigue life newly are defined, fatigue life is characterized with temperature.This method
Determining fatigue life equation, it is more scientific, also more meet reality, directive function can be played to China's bituminous pavement design；
2, the present invention passes through Research on Asphalt Mixture different stress and the intensity under loading velocity and different load speed
Intensity yield surface under rate using yield failure as criterion, and studies the law of force under different loading speeds；It utilizes
Octahedral-shear strength theory and Desai asphalt yield surface receptance function establish one kind and can characterize different loads
The intensity yield surface of different stress under rate, so develop it is a kind of can will be under asphalt different stress
The analysis of fatigue new method that intensity yield surface contacts under fatigue properties and different loading speeds, to complete different stress
The normalization of lower fatigue properties.
Detailed description of the invention
Fig. 1 is three-dimensional stress constraint intensity yield surface model schematic diagram of the invention.
Fig. 2 is isocline line coordinate diagram of the invention.
Fig. 3 is the areal coordinate figure that inclines such as of the invention.
Fig. 4 is octahedral normal stress of the invention, octahedral shear stress and Luo De angular coordinate figure.
Fig. 5 is failure envelope coordinate diagram of the invention.
Fig. 6 is rock noon cable architecture schematic diagram of the invention.
Fig. 7 is pressure radial structural schematic diagram of the invention.
Fig. 8 is fatigue stress path schematic diagram under different stress of the invention.
Fig. 9 is fatigue life and temperature relation figure of the invention.
Figure 10 is the structural schematic diagram that K value of the invention varies with temperature.
Figure 11 is the structural schematic diagram that n value of the invention varies with temperature.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete
Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts it is all its
His embodiment, shall fall within the protection scope of the present invention.
The present invention provides asphalt fatigue properties temperature dependency characterizing method under three-dimensional stress constraint, specific table
Sign method is as follows:
S1, intensity yield surface model is established based on three-dimensional stress constraint；
S1.1, the failure criteria for establishing asphalt pavement material under three-dimensional stress constraint, it is countless by a little being made in object
The section of a different orientation, only direct stress effect on section, shear stress is equal to zero, wherein selecting three mutually perpendicular section
Stress on certain point, i.e. stress state of this point are expressed with these three sections in face, according to the stress value on three principal axes of stress,
Stress state is divided into three-dimensional stress constraint, two-dimensional state of stress and uniaxial stressed state；
Three-dimensional stress constraint is the stress state that three principal stresses did not wait and be all not equal to zero；Two-dimensional state of stress is three
The null stress state of only one principal stress in a principal stress, uniaxial stressed state are that there are two main in three principal stresses
The null stress state of stress；
S1.2, as shown in Figure 1, being based on octahedral-shear strength theory, any stress state when by material damage is used
A point in stress-space uniquely characterizes, and when material damage, all stress state constituted a company in stress-space
Continuous curved surface, the curved surface are the intensity yield surface of material, for isotropic material, three-dimensional stress constraint intensity yield surface only with
Internal material, density are related to voidage, and external cause is related to temperature, air pressure and loading speed, in intensity yield surface, establish
Principal stress space coordinate generates intensity yield surface model；
In intensity yield surface model, the projection inclined on face is being waited by the principal axes of stress, is determining σ1’、σ2’、 σ3' axis, so
By coordinate origin and σ1’、σ2’、σ3' axis determines isocline line；N is isocline line, PnArbitrarily to answer force vector, σoctIt is main for octahedron
Stress, τoctFor octahedral shear stress；
In the principal stress space, coordinate origin and and σ are crossed1、σ2、σ3The identical straight line of the angle of axis is known as isocline line, sees
Fig. 2；
The plane vertical with isocline line be referred to as etc. face of inclining, corresponding to the octahedra plane in cell cube, the principal axes of stress exist
σ is usually used etc. the projection inclined on face1’、σ2’、σ3' axis expression, their angle is 120 °, sees Fig. 3；
As shown in figure 4, force vector is arbitrarily answered to be projected as octahedral normal stress σ in isocline line in stress-spaceoct,
σoct=(σ1+σ2+σ3)/3
This is projected as octahedral shear stress τ on face waiting to inclineoct
Its direction is indicated with the angle Luo De θ
As shown in figure 5, collapse envelope with etc. the intersection in face of inclining be known as failure envelope, failure envelope is that closing is bent
Line, size change with mean stress, but shape is similar, and under the conditions of isotropism, the principal axes of stress are in collapse envelope
On the symmetry axis for being projected as failure envelope；
Due to the symmetry of failure envelope, as long as therefore obtain 0-60 ° of failure envelope, can be obtained by mapping
Entire failure envelope.Failure envelope in order to obtain should complete the angle Luo De and gradually become from 0 ° under identical mean stress
Change the strength test to 60 °, failure envelope can clearly characterize the otherness of tensile and compressive strength.It, can in practical implementation
0-60 ° of failure envelope is reduced to straight line, equal hexagons are shown as in 0-360 °；
As shown in Figure 6 and Figure 7, isocline line and σ1The curve that plane formed by axis and failure mechanics are handed over is known as drawing meridian,
Meridian is drawn to wait projection and the σ to incline on face1Overlapping of axles, the angle Luo De are 0 °；Isocline line and σ3Plane and failure mechanics formed by axis
The curve handed over is known as pressure radial, and pressure radial is waiting projection and the σ to incline on face3Overlapping of axles, the angle Luo De are 60 °.
Based in octahedral-shear strength theory three-dimensional stress constraint yield surface model, meridian is drawn to represent difference
The yield point intersection stretched under hydrostatic pressure, pressure radial represent the yield point intersection compressed under different hydrostatic pressures, destroy packet
Winding thread represents all different stress lower yield point intersections under a certain hydrostatic pressure, including the different stress shapes studied herein
State.Therefore, it can be found in the intensity yield surface model for including different stress fatigue under different stress is special
The method of property normalizing；
S1.2.3, using Tresca yield condition and Mises yield condition, confirm the yield surface of asphalt and broken
Less, obtained yield criterion value represents the extent of the destruction of asphalt to the difference of bad face；
(1) Tresca yield condition
Maximum shear stress is the criterion amount of material yield, and Tresca yield condition can be specifically written as:
Tresca yielding curve is the positive hexagonal column face for being orthogonal to plane, its yield curve, which is with origin, is
The regular hexagon of the heart.Tresca yield function be it is non-regular, it is made of six linear functions, in Mathematical treatment not bery
It is convenient.Applicable elements are as follows:
(2) Mises yield condition
Meter Ze Si (Mises R V) suggestion replaces six arris cylinder of special Leix card with a cylindrical surface, and expression formula is writeable
Are as follows:
In the principal stress space, above formula indicates the cylindrical surface for being orthogonal to π plane, and central shaft is hydrostatic stress axis,
Its yield curve in π plane is a circle.
For plane stress state, σ is taken3=0, above formula becomes:
k2It takesWhen, two yield conditions are consistent in axial tension, in π plane, in special Leix card hexagon
It is connected to meter Ze Si circle, two kinds of yield curves compare figure, see Fig. 8；
Initial yield function is generally writeable are as follows:
f(sij)=f (sij)-k=0
F (s in formulaij) be the components of stress homogeneous function, the referred to as criterion amount of yield condition.Criterion amount should have centainly
Mechanical meaning.Such as the criterion amount of Tresca condition is maximum shear stress.The criterion amount of Mises condition then can there are many solution
It releases.All mechanical quantities with following expression are the criterion amounts of Mises yield condition:
a[(s1-s2)2+(s2-s3)2+(s3-s1)2]
α is a certain constant in formula；For example, it may be interpreted as: shear stress strength:
The appearance of surrender is the mark that occurs as with plastic strain, and destroys and be then abstracted as material into unlimited plasticity
State, asphalt destroy when can regard ideal plastic body as, therefore, the yield surface and failure mechanics of asphalt
Distinguish less, can approximation treat.
S2, asphalt yield surface receptance function is established；
The Desai et al. of Arizona, USA university proposes a kind of receptance function of yield surface, can describe earth working material
With plastic response of the asphalt under hydrostatic stress, belong to the octahedral shear stress series (J of strength theory2It is theoretical).This is bent
The face of clothes can be applied to stress invariant space and strain invariant space；Under stress invariant steric requirements, yield surface
Expression-form are as follows: describe the plasticity of earth working material and asphalt under hydrostatic stress using the receptance function of yield surface and ring
It answers；
In formula: I1For the first invariant of stress tensor；J2Respectively the second diviatoric stress tensor invariant, J3Not for third deviatoric stress
Variable,PaFor atmospheric pressure；α, β, γ, n, R are model parameter.
By I1、J2Expression formula compared with octahedra principal stress, shear stress formula, obtain
Therefore, existSpace, the yield surface that yield surface expression formula indicates are a closed surface, and this
The three-dimensional coordinate of closed surface and the three-dimensional coordinate of octahedral shear stress intensity yield surface are at multiple proportion, it was demonstrated that surrender face mould
Type and octahedral shear stress intensity yield surface model have identity；Under uniaxial stressed state, model parameter α, β is in peak value
It is 0 at stress, therefore yield surface existsSpace will degenerate for straight line [75], and expression-form is as follows:
That is:
?Space, the yield surface that formula (4.15) indicates obviously is straight line.It is bent from Mises above-mentioned
The criterion amount for taking condition can be seen that the criterion amount that expression formula shown in the above formula left side is actually Mises yield condition,
Physical significance is shear stress strength,I.e. above formula meets Mises yield condition.
Equation model is derived according to above-mentioned Desai, under the conditions of uniaxial test, stress only generates in one direction, passes through
Simple uniaxial direct tensile and uniaxial compressive strength test, it is easy to obtain the yield surface indicated such as above formula.
The determination in fatigue stress path under S3, different stress；
Fatigue test under different stress, using primary stress level as strain peaks under Stress Control mode, no
Original state with fatigue test under stress state is in intensity yield surface shown in coordinate the following table 1:
Tired initial point coordinate under 1 different stress of table
Initial point tired under different stress is indicated into such as Fig. 8 under different loading speeds in intensity yield surface；
Figure midpoint O (0,0) be coordinate origin, as without apply any load when stress state；PointTable
The yield situation of material or inside configuration peak stress point when what is shown is Compressive failure；PointWhat is indicated is that tension is broken
The yield situation of material or inside configuration peak stress point when bad；From A point, the definition of B point and its in length and breadth the size of coordinate can be with
Find out: the yield situation point of all compression strength breakdown points is on OA line, the yield situation point of all tensile strength breakdown points
On OB line；
PointIt is then shear stress strength shape locating for material under given practical stress condition or inside configuration
State point, this research is the initial stress state of material or inside configuration when corresponding to fatigue test nondestructive state, with load time
The damage of several increases, material or inside configuration will also gradually increase, for homogeneous, the assumption of isotropy, in material or structure
The also equal proportion increase by the increase damaged with the point of three principal stresses of portion's each point, therefore difference loads when fatigue test
Stress state point under numberWith the slope of coordinate origin line
Be it is equal, will not with load number variation and change, that is to say, that the thought based on yield criterion, difference load
Stress state point under numberIt will be moved up along OC ray tracing, referred to as tired trajectory line, i.e. fatigue stress
Path, until intersecting at breakdown point D point with yield surface AB
Define fatigue stress path equation under different stress are as follows:
Put carry out linear fit always to fatigue process under different stress, fitting parameter is as shown in table 2:
Fatigue stress path equation parameter under 2 different stress of table
S4, the Analysis of Fatigue Behavior new method based on yield criterion thought；
In existing bituminous pavement design system, the load effect of bituminous pavement is by axle-load exchanging that its is equivalent
It acts on number for standard axle load to take in, axle-load exchanging method is come out based on Miner linear fatigue damage theory deduction
[84], the theory have ignored in Fatigue Failure Process material damage itself constantly aggravate caused by nonlinear Evolution feature,
It can not consider damage accumulation nonlinear effect caused by loading historical variations, obtained conclusion is identical load to not damaged
Road surface and oneself damage road surface action effect be it is identical, this conclusion obviously underestimates the effect of load.These above-mentioned aspects
Deficiency, not only seriously affected the accuracy of fatigue life of pavement design, but also the analysis of load action effect also generated
Very big deviation.
Research is found: classic fatigue equation cannot reflect strength failure feature, i.e., cannot correspond to when nominal stress ratio is 1
The strength failure that fatigue life is 1, is primarily due to the influence that traditional fatigue test and analysis do not account for loading speed；
In the name of stress ratio is larger for the fatigue equation and actual deviation of independent variable.Current Specification of Asphalt Pavement Design is tired using S-N
The point for being 1 to fatigue life will be prolonged when labour's journey thereafter, it is believed that be exactly at this time it according to the tensile stress that fatigue equation is calculated
Fatigue strength, and thus calculate tensile strength structure coefficient [84,85], the value of tensile strength structure coefficient is extremely important,
Directly affect the structure value of bottom allowable tensile stress and final Pavement Design thickness layer by layer, Chen Lijie et al. [86,87,88]
Point out that traditional S-N curve of fatigue does not show obvious linear relationship within the scope of wide stress ratio by research, it thus will be tired
The fatigue strength values that labour Cheng Houyan is obtained be it is inappropriate, the tensile strength structure coefficient calculated accordingly also there is
Biggish deviation causes the precision of bituminous pavement Anti fatigue Design to be had a greatly reduced quality；
It, will inside test specimen to the asphalt mixture fatigue testing under different loading methods, Specimen Shape, sample dimensions
Different stress states is generated, and different stress states will result directly in different test result of fatigue life, this is also exactly
The biggish the very crux of fatigue test results otherness under aforementioned different tests method.Therefore, yield criterion above-mentioned can be used
Thought, using fatigue stress path under intensity yield surface under different stress and different stress, combination temperature is to fatigue
The influence in service life is modified Tiredness model by temperature, and it is special to obtain asphalt fatigue under a kind of three-dimensional stress constraint
The temperature dependency expression of property.
As shown in Figure 8, on the one hand, distance, that is, CD length table of the original state point C to collapse state point D in trajectory line
The ability of its antifatigue destruction is levied, CD is longer, and anti-fatigue ability is stronger, therefore, can be with the length ratio of OC and OD come table
Levy the ability of its antifatigue destruction, it may be assumed that
On the other hand, ordinate, that is, shear stress strength of breakdown point D pointIt characterizes in corresponding fatigue test condition
Under, the ability of collapse resistance possessed by material or structure, for determining yield surface condition, i.e. shear stress strengthCentainly
In the case where, initial shear stress intensity when fatigue testSmaller, anti-fatigue performance is stronger, therefore, can use C point and D
The ratio between ordinate of point characterizes the ability of its antifatigue destruction, it may be assumed that
As seen from the above analysis, above two formula all has specific mechanics physical significance, while according to the several of Fig. 8
What meaning is it is found that the numerical values recited of the two is also equal, it may be assumed that
When above formula characterizes fatigue test initial stress state (related with stress level) locating for material or structure and its
The relative size of corresponding drag (shear stress strength), when fatigue test, each stress level or strain level correspond to one
A Δ, different Δs correspond to different fatigue lives, by establishing Δ and fatigue life NfCorresponding relationship, can establish not
With the fatigue equation of asphalt under stress state.
The Fatigue Life Curve of asphalt under different temperatures is fitted by origin software；K value n value can be obtained, so
Parameter n and k variation with temperature is fitted again afterwards；Obtain following relationship:
This relational expression by fatigue life and temperature foundation contact, by the fatigue life under three-dimensional stress constraint with temperature into
It has gone characterization, has been specifically shown in Fig. 9-11.
The several points that should finally illustrate are: firstly, in the description of the present application, it should be noted that unless otherwise prescribed and
It limits, term " installation ", " connected ", " connection " shall be understood in a broad sense, can be mechanical connection or electrical connection, be also possible to two
Connection inside a element, can be directly connected, and "upper", "lower", "left", "right" etc. are only used for indicating relative positional relationship,
When the absolute position for being described object changes, then relative positional relationship may change；
Secondly: the present invention discloses in embodiment attached drawing, relates only to the structure being related to the embodiment of the present disclosure, other
Structure, which can refer to, to be commonly designed, and under not conflict situations, the same embodiment of the present invention and different embodiments be can be combined with each other；
Last: the foregoing is only a preferred embodiment of the present invention, is not intended to restrict the invention, all in this hair
Within bright spirit and principle, any modification, equivalent replacement, improvement and so on should be included in protection scope of the present invention
Within.
Claims (10)
1. asphalt fatigue properties temperature dependency characterizing method under three-dimensional stress constraint, it is characterised in that: embodiments
Method is as follows:
S1, intensity yield surface model is established based on three-dimensional stress constraint；
S1.1, the failure criteria for establishing asphalt pavement material under three-dimensional stress constraint, by a little made in object it is numerous not
With the section of orientation, wherein selecting three mutually perpendicular sections, the stress on certain point is expressed with these three sections, i.e., this puts
Stress state, according to the stress value on three principal axes of stress, by stress state be divided into three-dimensional stress constraint, two-dimensional state of stress and
Uniaxial stressed state；
S1.2, octahedral-shear strength theory, one in any stress state stress-space when by material damage are based on
A point uniquely characterizes, and when material damage, all stress state constituted a continuous curve surface in stress-space, which is
The intensity yield surface of material establishes principal stress space coordinate in intensity yield surface, generates intensity yield surface model；
In intensity yield surface model, the projection inclined on face is being waited by the principal axes of stress, is determining σ1’、σ2’、σ3' axis, then through sitting
Mark origin and σ1’、σ2’、σ3' axis determines isocline line；
In intensity yield surface model, the force vector octahedral normal stress table of the projection in isocline line will be arbitrarily answered in stress-space
Show；Force vector will be answered to wait the projection inclined on face to be indicated with octahedral shear stress；Force vector direction will be answered to be indicated with the angle Luo De；
In intensity yield surface model, the yield point intersection stretched under different hydrostatic pressures, which is formed, draws meridian, different hydrostatic pressings
The yield point intersection compressed under power forms pressure radial, all different stress lower yield point intersection shapes under a certain hydrostatic pressure
At failure envelope, failure envelope includes different stress；Finally in the intensity yield surface model of different stress
It finds the method for fatigue properties normalizing under different stress；
S1.2.3, using Tresca yield condition and Mises yield condition, confirm yield surface and the failure mechanics area of asphalt
Not less, obtained yield criterion value represents the extent of the destruction of asphalt；
S2, asphalt yield surface receptance function is established；
The plastic response of earth working material and asphalt under hydrostatic stress is described using the receptance function of yield surface；
The determination in fatigue stress path under S3, different stress；
Fatigue test is carried out under different stress, using primary stress level as strain peaks under Stress Control mode,
The initial point of fatigue test uses coordinate representation, difference load under different loading speeds under different stress in intensity yield surface
Stress state point under number forms tired trajectory line, i.e. fatigue stress path, then to fatigue process under different stress
Always point carries out linear fit, establishes the Tiredness model under three-dimensional stress constraint；
S4, the Analysis of Fatigue Behavior new method based on yield criterion thought；
Using yield criterion thought, fatigue stress road under intensity yield surface under different stress and different stress is utilized
Diameter, influence of the combination temperature to fatigue life are modified Tiredness model by temperature, obtain under a kind of three-dimensional stress constraint
The temperature dependency expression of asphalt fatigue properties, specifically:
Distance, that is, CD length of original state point C to collapse state point D characterize the ability of its antifatigue destruction in trajectory line,
CD is longer, and anti-fatigue ability is stronger, characterizes the ability of its antifatigue destruction with the length ratio of OC and OD at this time, it may be assumed that
On the other hand, ordinate, that is, shear stress strength of breakdown point D pointIt characterizes under the conditions of corresponding fatigue test, material
The ability of collapse resistance possessed by material or structure, for determining yield surface condition, i.e. shear stress strengthCertain feelings
Initial shear stress intensity under condition, when fatigue testSmaller, anti-fatigue performance is stronger, at this time with the vertical seat of C point and D point
The ratio between mark characterizes the ability of its antifatigue destruction, it may be assumed that
As seen from the above analysis, two formulas all have specific mechanics physical significance, the numerical values recited of the two be also it is equal,
That is:
2. asphalt fatigue properties temperature dependency characterizing method under three-dimensional stress constraint according to claim 1,
It is characterized by: in the step S1.1, only direct stress effect on the section made, shear stress is equal to zero, and triaxiality
State is the stress state that three principal stresses did not wait and be all not equal to zero；Two-dimensional state of stress is only one in three principal stresses
The null stress state of principal stress, uniaxial stressed state are that there are two the null stress shapes of principal stress in three principal stresses
State.
3. asphalt fatigue properties temperature dependency characterizing method under three-dimensional stress constraint according to claim 1,
It is characterized by: in the step S1.2, for isotropic material, three-dimensional stress constraint intensity yield surface and internal material
Material, density are related to voidage, and external cause is related to temperature, air pressure and loading speed.
4. asphalt fatigue properties temperature dependency characterizing method under three-dimensional stress constraint according to claim 3,
It is characterized by: in the step S1.2: in the principal stress space, crossing coordinate origin and and σ1、σ2、σ3The angle of axis is identical
Straight line is known as isocline line；The plane vertical with isocline line such as is referred to as at the face of inclining, and corresponding to the octahedra plane in cell cube, master is answered
Power axis is waiting the projection σ to incline on face1’、σ2’、σ3' axis expression, their angle is 120 °.
5. asphalt fatigue properties temperature dependency characterizing method under three-dimensional stress constraint according to claim 4,
It is characterized by: arbitrarily answering force vector to be projected as octahedral normal stress in isocline line in stress-space in the step S1.2
σoct,
σoct=(σ1+σ2+σ3)/3
This is projected as octahedral shear stress τ on face waiting to inclineoct
Its direction is indicated with the angle Luo De θ
6. asphalt fatigue properties temperature dependency characterizing method under three-dimensional stress constraint according to claim 5,
It is characterized by: in the step S1.2, failure envelope be collapse envelope with etc. face of inclining intersection, failure envelope is envelope
Closed curve, size change with mean stress, but shape is similar, and under the conditions of isotropism, the principal axes of stress are destroying packet
The symmetry axis for being projected as failure envelope on network face, due to the symmetry of failure envelope, as long as obtaining 0-60 ° of destruction packet
Entire failure envelope can be obtained by mapping in winding thread.
7. asphalt fatigue properties temperature dependency characterizing method under three-dimensional stress constraint according to claim 6,
It is characterized by: in the step S1.2, the drawing meridian are as follows: isocline line and σ1What plane formed by axis and failure mechanics were handed over
Curve；Meridian is drawn to wait projection and the σ to incline on face1Overlapping of axles, the angle Luo De are 0 °；The pressure radial are as follows: isocline line and σ3Axis
The curve that formed plane and failure mechanics are handed over, pressure radial are waiting projection and the σ to incline on face3Overlapping of axles, the angle Luo De are 60 °.
8. asphalt fatigue properties temperature dependency characterizing method under three-dimensional stress constraint according to claim 1,
It is characterized by: yield surface can be applied to stress invariant space and strain invariant space, in stress in the step S2
Under invariant steric requirements, the expression-form of yield surface are as follows:
In formula: I1For the first invariant of stress tensor；J2Respectively the second diviatoric stress tensor invariant, J3For third deviatoric stress invariant,PaFor atmospheric pressure；α, β, γ, n, R are model parameter；
By I1、J2Expression formula compared with octahedra principal stress, shear stress formula, obtain
Therefore, existSpace, the yield surface that yield surface expression formula indicates is a closed surface, and this closing is bent
The three-dimensional coordinate in face and the three-dimensional coordinate of octahedral shear stress intensity yield surface are at multiple proportion, it was demonstrated that yield surface model and octahedral
Body shear stress strength yield surface model has identity；Under uniaxial stressed state, model parameter α, β are 0 at peak stress,
Therefore yield surface existsSpace will degenerate for straight line [75], and expression-form is as follows:
That is:
?Space, the yield surface that above formula indicates are straight line, and expression formula shown in the above formula left side is Mises surrender
The criterion amount of condition, physical significance are shear stress strength,I.e. above formula meets Mises yield condition.
9. asphalt fatigue properties temperature dependency characterizing method under three-dimensional stress constraint according to claim 1,
It is characterized by: defining fatigue stress path equation under different stress in the step S3 are as follows:
10. asphalt fatigue properties temperature dependency characterizing method under three-dimensional stress constraint according to claim 1,
It is characterized by: being fitted the Fatigue Life Curve of asphalt under different temperatures by origin software in the step S4；
K value n value can be obtained, then parameter n and k variation with temperature is fitted again；Obtain following relationship:
This relational expression contacts fatigue life and temperature foundation, and the fatigue life under three-dimensional stress constraint has been carried out table with temperature
Sign.
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