CN107991195A - A kind of method that elastic deformation energy at rock material peak load point is measured in three-point bending fracture experiment - Google Patents
A kind of method that elastic deformation energy at rock material peak load point is measured in three-point bending fracture experiment Download PDFInfo
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- CN107991195A CN107991195A CN201711208206.3A CN201711208206A CN107991195A CN 107991195 A CN107991195 A CN 107991195A CN 201711208206 A CN201711208206 A CN 201711208206A CN 107991195 A CN107991195 A CN 107991195A
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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
- G01N3/20—Investigating strength properties of solid materials by application of mechanical stress by applying steady bending forces
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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
- G01N2203/0014—Type of force applied
- G01N2203/0023—Bending
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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
- G01N2203/0067—Fracture or rupture
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Abstract
The invention discloses a kind of method that elastic deformation energy at rock material peak load point is measured in three-point bending fracture experiment, test to obtain the peak load of rock sample by conventional static load three-point bending fracture first, further according to setting each unloading point carry out respectively rock sample once plus unloading three-point bending fracture experiment, obtain rock sample once add unloading three-point bending fracture experiment load-displacement curve.Calculate total input energy of the rock sample at 5 unloading pointsWith stored elastic deformation energyIt was found thatWithBetween there are linear functional relation；According to total input energy at rock sample peak load pointCalculate the elastic deformation energy stored at rock sample peak load pointBreakthrough is found thatWithBetween there are linear functional relation, the elastic deformation energy tested for measure rock material three-point bending fracture at peak load point provides a kind of new method.
Description
Technical field
It is more particularly to a kind of to measure rock material peak in three-point bending fracture experiment the invention belongs to rock engineering field
It is worth the method for elastic deformation energy at point of load application.
Background technology
Under external force, it may destroy after rock material carrying, necessarily be attended by with energy in its destructive process
Storage and release, destruction and study of rocks mechanics problem from energy point of view analysis rock are of great significance.3 points curved
Bent destructive test is to measure a kind of important tests method of rock material rupture failure.Rock sample carries out three-point bending fracture examination
Test and destroy, the storage and release of energy are necessarily accompanied with during stand under load.In current many experts and scholar from energy
Measuring angle destroys rock three-point bending fracture in the achievement in research of expansion, and has no determining for specific peak load point elasticity energy
Measure computational methods.
The content of the invention
The present invention provides one kind elastic deformation at rock material peak load point is measured in three-point bending fracture experiment
The method of energy, it is intended that rock material peak value lotus can not be known in advance before Brazilian diametral compression test in the prior art by overcoming
Loading point, so that the problem of the elastic deformation energy of rock material can not be obtained.
A kind of method that elastic deformation energy at rock material peak load point is measured in three-point bending fracture experiment, including
Following steps：
First, tested to obtain peak load value F according to conventional static load three-point bending fracturemax, 5 identical centers are straight
Crackle semi-disc rock sample carries out respectively once plus unloading three-point bending fracture is tested, and obtains 5 center vertical crack semi-discs
The load-displacement curve for once adding unloading three-point bending fracture experiment of rock sample；
Secondly, once add what unloading three-point bending fracture was tested according to obtained center vertical crack semi-disc rock sample
Load-displacement curve, tries to achieve total input energy of the center vertical crack semi-disc rock sample at each unloading pointWith the bullet of storage
Property deformation energyValue, i represent plus unloading test number；
Then, at least 5 groups of total input energiesWith the elastic deformation energy of storageValue be fitted, obtain each unloading
At pointWithValue and linear function relational expression between the two：Wherein, a and b fittings obtain
Constant；
Then, based on linear function relational expressionIn total input energy generation at rock material peak load point
Enter above-mentioned functional relation, calculate elastic deformation energy of the rock material at peak load point
Further, it is described to unload 5 identical center vertical crack semi-disc rock samples in 5 differences respectively
Carried out at loading point once plus unloading three-point bending fracture is tested, refer to the center vertical crack semi-disc rock for taking 5 same sizes
Sample carries out respectively once plus unloading three-point bending fracture experiment, testing machine first directly split center with the loading speed of 1KN/min
Line semi-disc rock sample is loaded, and is unloaded when reaching the unloading point of setting, and the unloading point of setting is respectively
0.1Fmax、0.3Fmax、0.5Fmax、0.7Fmax、0.9Fmax；Add when being offloaded to 0.02KN, then with 0.05mm/min loading speeds
Be loaded onto sample destruction, obtain respectively 5 different unloading point rock samples once plus unloading three-point bending fracture experiment load-
Displacement curve；
Carry out before adding unloading test, center vertical crack semi-disc rock sample is placed in the loading of three-point bending fracture experiment
In device, preload so that top, the bottom cylinder loading pad of center vertical crack semi-disc rock sample and loading device
Bar is in close contact and at the axial line and center vertical crack semi-disc rock sample cut-out direction line of top cylindrical shape loading filler strip
In in same perpendicular, the distance between two bottoms cylinder loading filler strip s is 30mm；
Wherein, it is consistent when control mode during unloading, rate of debarkation and loading.
Further, total input energy at the rock material peak load point, for conventional static load three-point bending fracture examination
The value for the area that loading curve in the load-displacement curve tested before peak load point is surrounded with axis of abscissas；
It is straight that the routine static load three-point bending fracture experiment refers to that testing machine with the loading speed of 1KN/min is loaded onto center
Crackle semi-disc rock sample destroys.
Further, total input energy at the rock material peak load point, once to add unloading three-point bending fracture
Unloaded in the load-displacement curve of experiment in the value for the area that first loading curve is surrounded with axis of abscissas and second load curve
The sum of value of area that curve before loading point to peak load point is surrounded with axis of abscissas.
Further, the center vertical crack semi-disc rock sample is that the engineering rock mass tested needs is taken using vertical
Core machine drill coring, core diameter D are 50mm, thickness 0.4D, and incision length meetsA and R are respectively
The incision length and radius of sample.
Further, 3 identical central vertical crack semi-disc rocks are tried with the loading speed of 5KN/min using testing machine
Sample be loaded onto center vertical crack semi-disc rock sample and destroys, and obtains the normal of 3 center vertical crack semi-disc rock samples
The load-displacement curve of static load three-point bending fracture experiment is advised, peak point is extracted from load-displacement curve, with 3 peak points
Average value is as the peak load value Fmax。
Further, the displacement in the load-displacement curve is the direction of length travel, its direction and load
Unanimously.
Beneficial effect
The present invention provides one kind elastic deformation at rock material peak load point is measured in three-point bending fracture experiment
The method of energy, tests to obtain the peak load of rock sample, then according to setting by conventional static load three-point bending fracture first
5 different unloading points, further according to setting each unloading point carry out respectively rock sample once plus unloading three-point bending
Destructive test, obtains the load-displacement curve that rock sample once adds unloading three-point bending fracture experiment.According to the lotus of gained
Load-displacement curve, calculates total input energy of the rock sample at 5 unloading pointsWith stored elastic deformation energyIt is fitted at 5 unloading pointsWithValue, findWithBetween there are linear functional relation：Unloading three-point bending is added according to the load-displacement curve of conventional static load three-point bending fracture experiment and once to break
The load-displacement curve for splitting experiment obtains total input energy at rock sample peak load pointWillAbove-mentioned function is substituted into close
It is that formula calculates the elastic deformation energy stored at rock sample peak load pointBreakthrough is found thatWithBetween deposit
In linear functional relation, this method is analyzed once from energy point of view plus unloading three-point bending fracture is tested, and makes full use of discovery
Linear functional relation to rock material three-point bending fracture experiment peak load point at elastic deformation energy carried out quantitative scoring
Calculate.The elastic deformation energy tested for measure rock material three-point bending fracture at peak load point provides a kind of new method.
Brief description of the drawings
Fig. 1 is loading device schematic diagram in destructive test；
Fig. 2 is the load-displacement curve and rock sample peak value that the conventional static load three-point bending fracture of rock sample is tested
Total input energy schematic diagram at point of load application；
Fig. 3 once adds the total input energy and bullet that unload during three-point bending fracture is tested at unloading point for rock sample
Property deformation energy schematic diagram；
Fig. 4 is that once adding for rock sample is total defeated at rock sample peak load point in unloading three-point bending fracture experiment
Entering can schematic diagram；
Label declaration：
1- loading ends；2- top cylindricals shape loads filler strip；3- rock samples；4- bottoms cylinder loading filler strip；A- notch
Length；The s- lengths of span；R- radius of specimen.
Embodiment
The present invention is described further below in conjunction with drawings and examples.
Using the HF fatigue testing machine (MTS Landmark) of MTS System Co., Ltd of U.S. production to rock in this programme
Stone sample carries out conventional static load three-point bending fracture experiment and once adds unloading three-point bending fracture experiment.
A kind of method that elastic deformation energy at rock material peak load point is measured in three-point bending fracture experiment, including
Following steps：
(1) choosing needs the rock material tested, using rock corning machine, rock cutter and stone mill etc. by selection
Rock material is processed into a diameter of 50mm, thickness 20mm, and incision length is the SCB rock samples of 10mm so that rock sample
End face it is smooth, and verticality meets test requirements document.
(2) 3 rock samples are chosen from the rock sample of preparation, respectively on HF fatigue testing machine (MTS Landmark)
Carry out conventional static load three-point bending fracture experiment.Loading speed is 1KN/min, and Fig. 1 is the three-point bending fracture used in experiment
Experimental rig and rock sample place schematic diagram.The lotus that the conventional static load three-point bending fracture of sample is tested is obtained by testing
Load-displacement curve, as shown in Figure 2.Peak load F using the average value of the peak load of 3 samples of acquisition as samplemax。
(3) 5 identical rock samples separately are taken, according to the peak load value F of samplemax, 5 unloading points are set, are denoted as respectively
0.1Fmax、0.3Fmax、0.5Fmax、0.7Fmax、0.9Fmax.Carry out once adding unloading three-point bending to break at different unloading points respectively
Experiment is split, obtains the load-displacement curve for once adding unloading three-point bending fracture experiment of rock sample.Wherein first loading is bent
The loading speed of line segment (see Fig. 3) is 1KN/min, and unloading curve section loading speed is consistent with the speed of first loading curve section.
The loading speed of second load curved section is 0.05mm/min.
(4) as shown in figure 3, once adding for sample unloads the load-displacement that three-point bending fracture is tested in (3) described in utilizing
Curve calculates total input energy of each sample at unloading point respectivelyAnd elastic deformation energyBy 5 rocks
SampleWithValue fitting obtains functional relation：
(5) load-displacement curve of the conventional static load three-point bending fracture experiment of 3 samples and (3) according to described in (2)
In 5 samples once plus unloading three-point bending load-displacement curve calculate each sample respectively at peak load point
Total input energy.With reference to the functional relation in (4)：Each rock sample peak load point is calculated respectively
The elastic deformation energy at place, takes bullet of the average value as surveyed rock sample at peak load point of the value of 8 elastic deformation energy
The value of property deformation energy
Embodiment 1：
By taking Red Sandstone as an example, the elastic deformation energy at rock sample peak load point is carried out using three point bending test method
Measure, determination step are：
step1：Homogeneous, the preferable engineering rock block of globality is chosen, is incited somebody to action using rock corning machine, rock stone mill
Its cutting is polished into a diameter of 25mm, is highly 20mm, and incision length is the semi-disc bend specimen (Semi- of 10mm
CircularBend Samples, referred to as SCB samples).It is enterprising that sample is placed in MTS Landmark HF fatigue testing machines
Row routine static test, is loaded onto sample with the loading speed of 1KN/min and destroys, and 3 points of conventional static load loading for obtaining sample is curved
The load-displacement curve of bent destructive test.Above-mentioned experiment is repeated 3 times, takes the average value of 3 sample peak loads as sample
Peak load Fmax=1.24KN.
step2：With the sample peak load F obtained in step1max=1.24KN is according at definite sample unloading point
Payload values, determine to set unloading horizontal (0.12KN, 0.37KN, 0.62KN, 0.87KN, 1.12KN), are listed in Table 1 below.
1 result of calculation of table
step3：5 identical rock samples are selected else to carry out once adding unloading three-point bending to break at different unloading points respectively
Experiment is split, being then loaded onto unloading point with the loading speed of 1KN/min is offloaded to 0.02KN.Unloading is completed with 0.05mm/min's
Loading speed is loaded onto sample destruction, obtains the load-displacement curve for once adding unloading three-point bending fracture experiment of each sample.
step4：Using area integral method to the load-displacement for once adding unloading three-point bending fracture experiment in step3
Curve is integrated, and calculates total input energy of 5 rock samples at unloading point respectivelyAnd elastic deformation energySpecifically
Result of calculation is shown in Table 1.It is rightWithData fitting is carried out, obtains functional relation between the two：
step5：The load-displacement curve and step3 of conventional static load three-point bending fracture experiment in the step1
In once plus unloading three-point bending fracture experiment load-displacement curve calculate 8 samples respectively at peak load point
Total input energy.
step6：The value of total input energy at peak load point in the step4 is substituted into functional relation respectively
In, elastic deformation energy (be shown in Table 1) of each sample at peak load point is calculated,
Elastic deformation energy of 8 samples at peak load point in table is weighted average treatment, obtains Red Sandstone in three-point bending
Elastic deformation energy in destructive test at peak load point
From the point of view of the result of calculation recorded from table 1, the rock elasticity obtained using computational methods of the present invention deforms
Can be more accurate.
The above embodiments are merely illustrative of the technical scheme of the present invention and are not intended to be limiting thereof, although with reference to above-described embodiment pair
The present invention is described in detail, those of ordinary skills in the art should understand that：Still can be to the specific of the present invention
Embodiment technical scheme is modified or replaced equivalently, and without departing from any modification of spirit and scope of the invention or equivalent substitution,
It should all cover among scope of the presently claimed invention.
Claims (7)
1. a kind of method that elastic deformation energy at rock material peak load point is measured in three-point bending fracture experiment, its feature
It is, comprises the following steps：
First, tested to obtain peak load average value F according to conventional static load three-point bending fracturemax, 5 identical centers are straight
Crackle semi-disc rock sample carries out respectively once plus unloading three-point bending fracture is tested, and obtains 5 center vertical crack semi-discs
The load-displacement curve for once adding unloading three-point bending fracture experiment of rock sample；
Secondly, according to the lotus for once adding unloading three-point bending fracture experiment of obtained center vertical crack semi-disc rock sample
Load-displacement curve, tries to achieve total input energy of the center vertical crack semi-disc rock sample at each unloading pointWith the elasticity of storage
Deformation energyValue, i represent plus unloading test number；
Then, at least 5 groups of total input energiesWith the elastic deformation energy of storageValue be fitted, obtain at each unloading pointWithValue and linear function relational expression between the two：Wherein, a and b is the constant that fitting obtains；
Then, based on linear function relational expressionTotal input energy at rock material peak load point is substituted into
Functional relation is stated, calculates elastic deformation energy of the rock material at peak load point
It is 2. according to the method described in claim 1, it is characterized in that, described by 5 identical center vertical crack semi-disc rocks
Sample is carried out respectively at described 5 different unloading points once plus unloading three-point bending fracture is tested, and refers to take 5 identical rule
Center of a lattice vertical crack semi-disc rock sample carries out respectively once plus unloading three-point bending fracture experiment, testing machine are first with 1KN/
The loading speed of min loads center vertical crack semi-disc rock sample, is unloaded when reaching the unloading point of setting,
The unloading point of setting is respectively 0.1Fmax、0.3Fmax、0.5Fmax、0.7Fmax、0.9Fmax；When being offloaded to 0.02KN, then with
0.05mm/min loading speeds are loaded onto sample destruction, obtain respectively 5 different unloading point rock samples once plus unloading three
The load-displacement curve of point bend fracture experiment；
Carry out before adding unloading test, center vertical crack semi-disc rock sample is placed in the loading device of three-point bending fracture experiment
In, carry out preloading and make it that the top of center vertical crack semi-disc rock sample and loading device, bottom cylinder loading filler strip are tight
Contiguity is touched and the axial line of top cylindrical shape loading filler strip is in same with center vertical crack semi-disc rock sample cut-out direction line
In one perpendicular, the distance between two bottoms cylinder loading filler strip s is 30mm；
Wherein, it is consistent when control mode during unloading, rate of debarkation and loading.
3. according to the method described in claim 2, it is characterized in that, total input energy at the rock material peak load point,
Enclosed by the loading curve before peak load in the load-displacement curve of conventional static load three-point bending fracture experiment with axis of abscissas
Into area value；
The routine static load three-point bending fracture experiment refers to that testing machine is loaded onto center vertical crack with the loading speed of 1KN/min
Semi-disc rock sample destroys.
4. according to the method described in claim 2, it is characterized in that, total input energy at the rock material peak load point,
Once to add the face that first loading curve is surrounded with axis of abscissas in the load-displacement curve of unloading three-point bending fracture experiment
The value for the area that curve in long-pending value and second load curve before unloading point to peak load point is surrounded with axis of abscissas it
With.
5. according to claim 1-4 any one of them methods, it is characterised in that the center vertical crack semi-disc rock sample
It is that vertical corning machine core-drilling is utilized to the engineering rock mass tested of needs, core diameter D is 50mm, thickness 0.4D, notch
Length meetsA and R is respectively the incision length and radius of sample.
6. according to the method described in claim 5, it is characterized in that, using testing machine with the loading speed of 5KN/min to 3 phases
Carry out being loaded onto center vertical crack semi-disc rock sample destruction with center vertical crack semi-disc rock sample, obtain 3 centers
The load-displacement curve of the conventional static load three-point bending fracture experiment of vertical crack semi-disc rock sample, from load-displacement curve
Peak point is extracted, the peak load average value F is used as using the average value of 3 peak pointsmax。
7. according to the method described in claim 6, it is characterized in that, the displacement in the load-displacement curve is longitudinal position
Move, its direction is consistent with the direction of load.
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Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109001046A (en) * | 2018-07-03 | 2018-12-14 | 华北水利水电大学 | Test the pilot system and method for deep rock mass I type fracture toughness |
| CN112161879A (en) * | 2020-09-19 | 2021-01-01 | 太原理工大学 | Device and method for measuring three-point bending fracture toughness of static semicircular disc in warm-pressing environment |
| CN113933122A (en) * | 2021-10-11 | 2022-01-14 | 水利部交通运输部国家能源局南京水利科学研究院 | Method for manufacturing three-dimensional axisymmetric smooth curved internal crack |
| CN115078126A (en) * | 2022-08-22 | 2022-09-20 | 中南大学 | Fracture performance evaluation method of asphalt concrete |
| CN116167147A (en) * | 2023-04-25 | 2023-05-26 | 煤炭科学研究总院有限公司 | Coal rock impact tendency direct index evaluation method based on multi-layer perceptron algorithm |
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| CN105809561A (en) * | 2016-03-25 | 2016-07-27 | 安徽理工大学 | Calculation method of elastic strain energy storage of coal containing gas |
| JP6088925B2 (en) * | 2013-07-05 | 2017-03-01 | 株式会社マルイ | Compression test method and compression test apparatus |
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109001046A (en) * | 2018-07-03 | 2018-12-14 | 华北水利水电大学 | Test the pilot system and method for deep rock mass I type fracture toughness |
| CN112161879A (en) * | 2020-09-19 | 2021-01-01 | 太原理工大学 | Device and method for measuring three-point bending fracture toughness of static semicircular disc in warm-pressing environment |
| CN113933122A (en) * | 2021-10-11 | 2022-01-14 | 水利部交通运输部国家能源局南京水利科学研究院 | Method for manufacturing three-dimensional axisymmetric smooth curved internal crack |
| CN115078126A (en) * | 2022-08-22 | 2022-09-20 | 中南大学 | Fracture performance evaluation method of asphalt concrete |
| CN115078126B (en) * | 2022-08-22 | 2022-11-25 | 中南大学 | Fracture performance evaluation method of asphalt concrete |
| CN116167147A (en) * | 2023-04-25 | 2023-05-26 | 煤炭科学研究总院有限公司 | Coal rock impact tendency direct index evaluation method based on multi-layer perceptron algorithm |
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