CN109030171A - The method that concrete initiation angle is determined by two-point defined line method - Google Patents
The method that concrete initiation angle is determined by two-point defined line method Download PDFInfo
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N2203/0058—Kind of property studied
- G01N2203/006—Crack, flaws, fracture or rupture
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- G01N2203/0064—Initiation of crack
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Abstract
The invention discloses a kind of methods for determining concrete initiation angle by two-point defined line method, its key step includes: that the identical test specimen of one packet size of production, static loading obtain initial cracking load, straight line is determined by two o'clock and seek straight slope, which is the initiation angle of the concrete without dimensional effect.The invention avoids the work of the Fitting Analysis of great number tested data, and Consideration is comprehensive, and prediction result has enough accuracy, easy judging result reasonability.
Description
Technical field
The present invention relates to civil engineering material detection technique fields, and in particular to one kind determines coagulation by two-point defined line method
The method of native initiation angle.
Background technique
The corresponding stress intensity factor of initial cracking load with crack test specimen, referred to as initiation angle Kini.Under laboratory condition
There are apparent dimensional effects for the initiation angle of concrete, to obtain the initiation angle unrelated with sample dimensions, then must use
Boundary effect theory determines the concrete initiation angle without dimensional effect.But this method must be based on a large amount of test data,
It is just able to achieve by multiple regression analysis.And the test specimen used must satisfy the following conditions: identical size difference stitches high ratio；
Or identical seam height is than different sizes；Or the combination of two kinds of forms.It is all base in addition, determining the initiation angle of concrete at present
All fail the great influence comprising aggregate particle in theory of continuous medium mechanics, theory.
Summary of the invention
The technical problem to be solved in the present invention is to provide a kind of sides that concrete initiation angle is determined by two-point defined line method
Method；With the dimensional effect for overcoming the measurement of existing concrete initiation angle existing, and the influence of particles of aggregates is not considered.
In order to solve the above technical problems, the present invention adopts the following technical scheme:
Design a kind of method that concrete initiation angle is determined by two-point defined line method, including the following steps:
(1) pouring a packet size is H × B × W and the high concrete sample than being α of seam, wherein H is that test specimen is high
Degree, B are specimen thickness, and W is test specimen effective span, and the incipient crack length of test specimen is a0, seam height is than α=a0/H；
(2) edge splitting type or three-point bending type are used, adds the test specimen in step (1) by static loading test method
It is loaded onto and is destroyed, record the initial cracking load P of each test specimen in loading procedureini,i, calculate the average value note of test specimen initial cracking load
For Pini；
(3) method for determining straight line based on two o'clock calculates the average value K of the initiation angle of this group of test specimenini: where the
One point is origin (0,0), and the ordinate Y of second point is equal to the average value P of this group of concrete sample initial cracking loadini；
For edge splitting type test specimen, the abscissa X of second point is
For three-point bending type test specimen, the abscissa X of second point is
In formula (1), (2), B is specimen thickness, and α is to stitch high ratio, and H is height of specimen, dmaxIt is maximum for the aggregate of concrete
Partial size, ae1、ae2For geometric parameter；
First point (0,0) and second point (X, Y) straight slope be test specimen initiation angle average value
Kini；
(4) method for determining straight line based on two o'clock calculates the initiation angle K of each test specimen of the groupini,i: where first
Point is 0 point of origin (0,0), the ordinate Y of second pointiEqual to the initial cracking load P of single concrete sampleini,i；
For edge splitting type test specimen, the abscissa X of second pointiIt is acquired by formula (1), for three-point bending type test specimen,
The abscissa X of second point is acquired by formula (2)；
First point (0,0) and second point (Xi, Yi) straight slope be single test specimen initiation angle
Kini,i。
Further, in step (3)~(4), the geometric parameter a of formula (1)e1, it is calculated by following formula,
In formula (3), α is the high ratio of seam of each test specimen, a0For incipient crack length,
The geometric parameter a of formula (2)e2, it is calculated by following formula,
In formula (4), α is the high ratio of seam of each test specimen, a0For incipient crack length,
Further, height of specimen H is 150mm~1200mm, and range is wider.
Further, seam height is 0.4~0.5 than α.
Further, the concrete sample is 3~5, and test work load is small.
Compared with prior art, positive advantageous effects of the invention are:
1. the present invention avoids the fitting of great number tested data only with the identical sample for stitching high ratio of one group of identical size
Analysis.
2. the present invention considers influence of the aggregate particle to crack initiation, more fitting is practical.
2. the present invention is based only upon the Non-linear elastic economics analysis solution formula for considering heterogeneous material characteristic, two o'clock determines one
Item crosses the straight line of origin, and slope is exactly initiation angle, simple and practical.
3. the present invention only needs two coordinate points, and one of point is fixed as origin (0,0), and data volume is small；And another
Point both can use the average value of one group of test specimen initial cracking load, obtains the average value of material parameter, also can use single test specimen in the group
Initial cracking load single value obtains each individual values of material parameter, so as to show the initiation angle of rock type heterogeneous material
The discreteness of definitive result.
4. edge splitting or three-point bending pattern can be used in the present invention, do not limited by sample dimensions and test specimen pattern；Institute
The selection range (can be in any value of 1 50mm~1200mm in height of specimen H) for selecting sample dimensions, and using other examinations
Part is compared to relatively broad.
5. only needing the initial cracking load of 3~5 test specimens of measurement during test, do not need to measure other tested numbers, workload
Small, test process is simple.
Detailed description of the invention
Fig. 1 is the schematic diagram that the present invention is determined concrete initiation angle average value by two-point defined line method；
Fig. 2 is the schematic diagram that the present invention is determined concrete initiation angle discrete value by two-point defined line method.
Specific embodiment
Illustrate a specific embodiment of the invention with reference to the accompanying drawings and examples, but following embodiment is used only to
The present invention will be described in detail, does not limit the scope of the invention in any way.
Some steps or method involved in following embodiment are unless otherwise specified the routine side of this field
Method, related material are commercially available material unless otherwise instructed.
Embodiment 1: the method that concrete initiation angle is determined by two-point defined line method, comprising the following steps:
Pouring a packet size is H × B × W and the high concrete sample than being α of seam, wherein H is height of specimen, B
For specimen thickness, W is test specimen effective span, and the incipient crack length of test specimen is a0, seam height is than α=a0/H；Using edge splitting
Above-mentioned test specimen, is loaded by static loading test method and is destroyed by type or three-point bending type, records each examination in loading procedure
The initial cracking load P of partini,i, the average value for calculating test specimen initial cracking load is denoted as Pini；Straight line is determined based on two o'clock, first
A point is origin (0,0), and the ordinate Y of second point is equal to the average value P of this group of concrete sample initial cracking loadini；
For edge splitting type test specimen, the abscissa X of second point is
For three-point bending type test specimen, the abscissa X of second point is
In formula, B is specimen thickness, and α is to stitch high ratio, and H is height of specimen, dmaxFor the maximum aggregate size of concrete, ae1、
ae2For geometric parameter；
Above-mentioned first point (0,0) and second point (X, Y) straight slope be being averaged for test specimen initiation angle
Value Kini, referring to Fig. 1；If the ordinate Y of second pointiEqual to the initial cracking load P of single concrete sampleini,i；For wedging
Split pull-up test specimen, the abscissa X of second pointiIt is still acquired by formula (1), for three-point bending type test specimen, the horizontal seat of second point
Mark X is still acquired by formula (2)；At this point, first point (0,0) and second point (Xi, Yi) the as single examination of the straight slope of institute
The initiation angle K of partini,i., referring to fig. 2.
Embodiment 2: the method that concrete initiation angle is determined by two-point defined line method
The present embodiment uses edge splitting type concrete sample, maximum aggregate size dmax=10mm.By sample dimensions point
It is five groups:
First group of H × B × W=1200 × 200 × 1440mm, seam height is than α=a0/ W=0.5 amounts to 3 test specimens.Using
The method of the present invention can obtain the initiation angle that 3 test specimens determine based on the initial cracking load of 3 test specimens respectively, and by first
The average value of group test specimen initial cracking load, the average value of the initiation angle obtained the results are shown in Table 1.
Second group of H × B × W=1000 × 200 × 1200mm, seam height is than α=a0/ W=0.5 amounts to 4 test specimens.Using
The method of the present invention can obtain the initiation angle that 4 test specimens determine based on the initial cracking load of 4 test specimens respectively, and by second
The average value of group test specimen initial cracking load, the average value of the initiation angle obtained the results are shown in Table 1.
Third group H × B × W=800 × 200 × 960mm, seam height is than α=a0/ W=0.5 amounts to 4 test specimens.Based on 4
The initial cracking load of a test specimen can obtain the initiation angle that 4 test specimens determine respectively, and by third group test specimen initial cracking load
Average value, the average value of the initiation angle obtained, the results are shown in Table 1.
4th group of H × B × W=600 × 200 × 720mm, seam height is than α=a0/ W=0.5 amounts to 4 test specimens.Using this
Inventive method can obtain the initiation angle that 4 test specimens determine based on the initial cracking load of 4 test specimens respectively, and by the 4th group
The average value of test specimen initial cracking load, the average value of the initiation angle obtained, the results are shown in Table 1.
5th group of H × B × W=150 × 200 × 150mm, seam height is than α=a0/ W=0.5 amounts to 3 test specimens.Using this
Inventive method can obtain the initiation angle that 3 test specimens determine based on the initial cracking load of 3 test specimens respectively, and by the 5th group
The average value of test specimen initial cracking load, the average value of the initiation angle obtained, the results are shown in Table 1.
Seen from table 1, using the present invention, the initiation angle determined respectively by five groups of different tests test specimens more coincide, card
The validity and reasonability of the proposed method of the present invention is illustrated.
The initiation angle for the concrete that 1 embodiment 1 of table determines
The initial fracture toughness variation range K for the concrete that double-K fracture model providesini=0.65-0.77MPam1 /2.As it can be seen that the calculating of the initiation angle and double-K fracture model determined with the mentioned method of the present invention coincide preferably, and of the invention
Computational accuracy is slightly better than double-K fracture model, and calculated result does not change with sample dimensions, without dimensional effect.
Embodiment 3: the method that concrete initiation angle is determined by two-point defined line method
The present embodiment test loads pattern, aggregate maximum particle diameter d using three-point bendingmax=10mm.By test specimen
Size is divided into four groups:
First group of H × B × W=500 × 200 × 2000mm, seam height is than α=a0/ W=0.5 amounts to 3 test specimens.Using
The method of the present invention can obtain the initiation angle that 3 test specimens determine based on the initial cracking load of 3 test specimens respectively, and by first
The average value of group test specimen initial cracking load, the average value of the initiation angle obtained the results are shown in Table 2.
Second group of H × B × W=400 × 200 × 1600mm, seam height is than α=a0/ W=0.5 amounts to 4 test specimens.Using
The method of the present invention can obtain the initiation angle that 4 test specimens determine based on the initial cracking load of 4 test specimens respectively, and by second
The average value of group test specimen initial cracking load, the average value of the initiation angle obtained the results are shown in Table 2.
Third group H × B × W=300 × 200 × 1200mm, seam height is than α=a0/ W=0.5 amounts to 5 test specimens.Based on 5
The initial cracking load of a test specimen can obtain the initiation angle that 5 test specimens determine respectively, and by third group test specimen initial cracking load
Average value, the average value of the initiation angle obtained, the results are shown in Table 2.
4th group of H × B × W=150 × 200 × 600mm, seam height is than α=a0/ W=0.5 amounts to 4 test specimens.Using this
Inventive method can obtain the initiation angle that 4 test specimens determine based on the initial cracking load of 4 test specimens respectively, and by the 4th group
The average value of test specimen initial cracking load, the average value of the initiation angle obtained, the results are shown in Table 2.
As can be seen from Table 2, the initiation angle determined respectively by four groups of different tests test specimens more coincide, card using the present invention
The validity and reasonability of the proposed method of the present invention is illustrated.
The initiation angle for the concrete that 2 embodiment 2 of table determines
The initial fracture toughness variation range K for the concrete that double-K fracture model providesini=0.40-0.67MPam1 /2.As it can be seen that the calculating of the initiation angle and double-K fracture model determined with the mentioned method of the present invention coincide preferably, and of the invention
Calculated result does not change with sample dimensions, without dimensional effect.
Embodiment 4: the method that concrete initiation angle is determined by two-point defined line method
The present embodiment test loads pattern, aggregate maximum particle diameter d using edge splittingmax=25mm.By test specimen
Size is divided into three groups:
First group of H × B × W=300 × 200 × 360mm, seam height is than α=a0/ W=0.4 amounts to 4 test specimens.Using this
Inventive method can obtain the initiation angle that 4 test specimens determine based on the initial cracking load of 4 test specimens respectively, and by first group
The average value of test specimen initial cracking load, the average value of the initiation angle obtained, the results are shown in Table 3.
Second group of H × B × W=800 × 240 × 960mm, seam height is than α=a0/ W=0.4 amounts to 4 test specimens.Using this
Inventive method can obtain the initiation angle that 4 test specimens determine based on the initial cracking load of 4 test specimens respectively, and by second group
The average value of test specimen initial cracking load, the average value of the initiation angle obtained, the results are shown in Table 3.
Third group H × B × W=1000 × 250 × 1200mm, seam height is than α=a0/ W=0.4 amounts to 5 test specimens.It is based on
The initial cracking load of 5 test specimens can obtain the initiation angle that 5 test specimens determine respectively, and by third group test specimen initial cracking load
Average value, the average value of the initiation angle obtained, the results are shown in Table 3.
Seen from table 3, using the present invention, the initiation angle determined respectively by three groups of different tests test specimens more coincide, card
The validity and reasonability of the proposed method of the present invention is illustrated.
The initiation angle for the concrete that 3 embodiment 3 of table determines
The present invention is described in detail above in conjunction with drawings and examples, still, those of skill in the art
Member is it is understood that without departing from the purpose of the present invention, can also carry out each design parameter in above-described embodiment
Change, forms multiple specific embodiments, is common variation range of the invention, is no longer described in detail one by one herein.
Claims (5)
1. a kind of method for determining concrete initiation angle by two-point defined line method, characterized in that it comprises the following steps:
(1) pouring a packet size is H × B × W and the high concrete sample than being α of seam, wherein H is height of specimen, and B is
Specimen thickness, W are test specimen effective span, and the incipient crack length of test specimen is a0, seam height is than α=a0/H；
(2) edge splitting type or three-point bending type are used, adds step (1) described concrete sample by static loading test method
It is loaded onto and is destroyed, record the initial cracking load P of each test specimen in loading procedureini,i, calculate the flat of concrete sample initial cracking load
Mean value is denoted as Pini；
(3) method for determining straight line based on two o'clock calculates the average value K of the initiation angle of this group of concrete sampleini: where the
One point is origin (0,0), and the ordinate Y of second point is equal to the average value P of this group of concrete sample initial cracking loadini；
For edge splitting type test specimen, the abscissa X of second point is
For three-point bending type test specimen, the abscissa X of second point is
In formula (1), (2), B is specimen thickness, and α is to stitch high ratio, and H is height of specimen, dmaxFor the maximum aggregate size of concrete,
ae1、ae2For geometric parameter；
First point (0,0) and second point (X, Y) straight slope be test specimen initiation angle average value Kini；
(4) method for determining straight line based on two o'clock calculates the initiation angle K of each test specimen of the groupini,i: where first point is original
Point (0,0), the ordinate Y of second pointiEqual to the initial cracking load P of single concrete sampleini,i；
For edge splitting type test specimen, the abscissa X of second pointiIt is acquired by formula (1), for three-point bending type test specimen, second
The abscissa X of point is acquired by formula (2)；
First point (0,0) and second point (Xi, Yi) straight slope be single test specimen initiation angle Kini,i。
2. the method according to claim 1 for determining concrete initiation angle by two-point defined line method, which is characterized in that in institute
It states in step (3)~(4), the geometric parameter a of formula (1)e1, it is calculated by following formula,
In formula (3), α is the high ratio of seam of each test specimen, a0For incipient crack length,
The geometric parameter a of formula (2)e2, it is calculated by following formula,
In formula (4), α is the high ratio of seam of each test specimen, a0For incipient crack length,
3. the method according to claim 1 for determining concrete initiation angle by straight slope, which is characterized in that described
Height of specimen H is 150mm~1200mm.
4. the method according to claim 1 for determining concrete initiation angle by two-point defined line method, which is characterized in that described
Seam height is 0.4~0.5 than α.
5. the method according to claim 1 that concrete initiation angle is determined by two-point defined line method,
It is characterized in that, the test specimen is 3~5.
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