CN112557218B - Method for judging whether clay is damaged by stress or not through comparison of intercept - Google Patents
Method for judging whether clay is damaged by stress or not through comparison of intercept Download PDFInfo
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- CN112557218B CN112557218B CN202011547368.1A CN202011547368A CN112557218B CN 112557218 B CN112557218 B CN 112557218B CN 202011547368 A CN202011547368 A CN 202011547368A CN 112557218 B CN112557218 B CN 112557218B
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- 239000004927 clay Substances 0.000 title claims abstract description 87
- 238000000034 method Methods 0.000 title claims abstract description 40
- 238000012360 testing method Methods 0.000 claims description 14
- 230000000007 visual effect Effects 0.000 abstract description 3
- 239000002689 soil Substances 0.000 description 9
- 238000004364 calculation method Methods 0.000 description 6
- 238000009533 lab test Methods 0.000 description 3
- 230000009471 action Effects 0.000 description 2
- 230000006872 improvement Effects 0.000 description 2
- 238000010276 construction Methods 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 230000008569 process Effects 0.000 description 1
Classifications
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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
- G01N3/24—Investigating strength properties of solid materials by application of mechanical stress by applying steady shearing forces
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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
- G01N3/08—Investigating strength properties of solid materials by application of mechanical stress by applying steady tensile or compressive forces
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
-
- 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
- G01N2203/0001—Type of application of the stress
- G01N2203/0003—Steady
-
- 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
- G01N2203/0025—Shearing
-
- 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
- G01N2203/02—Details not specific for a particular testing method
- G01N2203/0202—Control of the test
- G01N2203/0212—Theories, calculations
- G01N2203/0218—Calculations based on experimental data
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/14—Force analysis or force optimisation, e.g. static or dynamic forces
Abstract
The invention relates to a method for judging whether clay is damaged by stress or not by comparing intercept, which comprises the following steps: drawing a first intersection point of a molar-coulomb strength envelope line of the clay in a limit balance state and a second intersection point of the molar-coulomb strength envelope line and a vertical axis and a horizontal axis in a two-dimensional coordinate system according to the shear strength index of the clay; drawing a Morse circle with a circle center on the transverse axis in the two-dimensional coordinate system by taking the large principal stress and the small principal stress of the clay in the to-be-used state as two points on the Morse circle respectively; drawing a tangent line to the Moire circle by taking the first intersection point as a reference, and reversely extending the tangent line to obtain a third intersection point with the transverse axis; comparing the first distance from the third intersection point to the origin of the two-dimensional coordinate system with the second distance from the second intersection point to the origin of the two-dimensional coordinate system; judging whether the clay is damaged by stress in the state of being used according to the comparison result. The method is simple, visual in expression and more efficient in stress state judgment.
Description
Technical Field
The invention relates to geotechnical engineering, in particular to a method for judging whether clay is damaged by stress or not by comparing intercept.
Background
In geotechnical engineering, it is indispensable to know the stress condition of the geotechnical, clay is one of the main types of clay, and the traditional method for judging whether the clay is damaged by stress is usually to judge by adopting a stress calculation or friction angle calculation method, but the method is complicated in calculation and low in efficiency.
Disclosure of Invention
In order to solve the problems, the invention provides a method for judging whether clay is damaged by stress or not by comparing intercept, and solves the problems of complex calculation and low efficiency of the traditional method.
The invention is realized by the following scheme: a method for judging whether clay is damaged by stress or not by comparing intercept comprises the following steps:
drawing a first intersection point of a molar-coulomb strength envelope line of the clay in a limit balance state and a second intersection point of the molar-coulomb strength envelope line and a vertical axis and a horizontal axis in a two-dimensional coordinate system according to the shear strength index of the clay;
drawing a Morse circle with a circle center on the transverse axis in the two-dimensional coordinate system by taking the large principal stress and the small principal stress of the clay in the to-be-used state as two points on the Morse circle respectively;
drawing a tangent line to the Moire circle by taking the first intersection point as a reference, and reversely extending the tangent line to obtain a third intersection point with the transverse axis;
comparing a first distance from the third intersection point to an origin of a two-dimensional coordinate system with a second distance from the second intersection point to the origin of the two-dimensional coordinate system;
if the first distance is smaller than the second distance, judging that the clay is damaged by stress in a to-be-used state;
if the first distance is larger than the second distance, the clay is judged not to be damaged by stress in the state of waiting to be used.
The method can intuitively obtain the size relation of the transverse intercept in the graph by means of drawing, judges whether the clay is damaged by stress in different using states by utilizing the comparison of the transverse intercept, and is simple, visual in expression and more efficient in judging the stress state compared with the traditional method for calculating parameters such as stress or friction angle.
The invention further improves the method for judging whether the clay is damaged by stress by comparing the intercept:
the shear strength index comprises the cohesion C and the internal friction angle of the clay
When a first intersection point of a molar-coulomb intensity envelope line of the clay in a limit balance state and a second intersection point of the molar-coulomb intensity envelope line and a vertical axis and a horizontal axis are respectively drawn in a two-dimensional coordinate system according to the shear strength index of the clay:
taking the cohesive force C as the first intersection point;
according to the formulaCalculating a second distance from the second intersection point to the origin of the two-dimensional coordinate system;
and drawing the second intersection point on the negative half axis of the transverse axis according to the second distance.
The invention further improves the method for judging whether the clay is damaged by stress by comparing the intercept:
the shear strength index comprises the cohesion C and the internal friction angle of the clay
When a first intersection point of a molar-coulomb intensity envelope line of the clay in a limit balance state and a second intersection point of the molar-coulomb intensity envelope line and a vertical axis and a horizontal axis are respectively drawn in a two-dimensional coordinate system according to the shear strength index of the clay:
the cohesion C is taken as the first intersection point, and the internal friction angle is taken as the internal friction angleDrawing the molar-coulomb intensity envelope in the two-dimensional coordinate system as an included angle between the molar-coulomb intensity envelope and a transverse axis;
and reversely extending the molar-coulomb intensity envelope to obtain the second intersection point.
The invention further improves the method for judging whether the clay is damaged by stress by comparing the intercept:
the shear strength index comprises a cohesive force C of the clay;
when a first intersection point of a molar-coulomb intensity envelope line of the clay in a limit balance state and a second intersection point of the molar-coulomb intensity envelope line and a vertical axis and a horizontal axis are respectively drawn in a two-dimensional coordinate system according to the shear strength index of the clay:
drawing a limit Morr circle of the clay in a limit balance state in the two-dimensional coordinate system;
taking the cohesive force C as the first intersection point;
drawing a limit tangent line to the limit moire circle by taking the first intersection point as a reference;
and reversely extending the limit tangent to obtain the second intersection point.
A further improvement of the method for judging whether the clay is damaged by stress or not through comparison of the intercept is that the shear strength index is provided by a clay test or a geological survey.
A further improvement of the method for judging whether the clay is damaged by stress or not through comparison of the intercept is that the clay test comprises a triaxial test and a direct shear test.
Drawings
Figure 1 shows a schematic representation of a first embodiment of the method of the invention.
Figure 2 shows a schematic representation of a second embodiment of the method of the invention.
Figure 3 shows a schematic representation of a third embodiment of the method of the invention.
Figure 4 shows a schematic diagram of a combination of various embodiments of the method of the present invention.
Detailed Description
In geotechnical engineering, the shear strength of soil body is significant to the practical significance of engineering construction. The shear strength of the soil body refers to the limit resistance of the soil body to shear stress generated by external load. Under the action of external load, shear stress and shear deformation are generated in the soil body. When the shear stress generated by external force reaches the shear strength of the soil body at a certain point in the soil body, the soil body can slide along the action direction of the shear stress, so that the point is subjected to shear damage.
The invention provides a method for judging whether the clay is damaged by stress or not through comparison of intercept, wherein the relation of the size of the intercept in a graph can be intuitively obtained through a drawing means, and the judgment of whether the clay is damaged by stress or not in different using states is carried out through comparison of the intercept.
The method for judging whether the clay is damaged by stress or not by comparing the intercept is further described below with reference to the accompanying drawings.
Referring to fig. 1, a method for judging whether clay is damaged by stress by comparing intercept comprises the following steps:
and step 1, drawing a first intersection point C of a molar-coulomb strength envelope line of the clay in a limit balance state and a second intersection point A of the molar-coulomb strength envelope line and a vertical axis Y and a horizontal axis X in a two-dimensional coordinate system (namely an XOY coordinate system) according to the shear strength index of the clay.
Step 2, the large principal stress and the small principal stress of the clay in the state to be used are respectively used as two points on the moire circle 21, and the corresponding moire circle 21 with the center on the transverse axis X is drawn in the two-dimensional coordinate system. The large principal stress and the small principal stress can be calculated or estimated according to clay use environment, stress condition and the like.
And 3, drawing a tangent line 22 to the moire circle 21 by taking the first intersection point C as a reference, and reversely extending the tangent line 22 to obtain a third intersection point D with the transverse axis X.
Step 4, comparing the first distance |od| from the third intersection point D to the origin O of the two-dimensional coordinate system with the second distance |oa| from the second intersection point a to the origin O of the two-dimensional coordinate system:
if the first distance |OD| is smaller than the second distance |OA|, the clay stress in the to-be-used state exceeds the limit balance state, and the soil sample is damaged in advance, so that the clay is judged to be damaged under stress in the to-be-used state, and measures for ensuring the stress safety are required to be taken;
if the first distance |OD| is larger than the second distance |OA|, the clay stress in the to-be-used state does not exceed the limit balance state, and the soil sample is not damaged, so that the clay is judged not to be damaged by stress in the to-be-used state.
As a preferred embodiment, the shear strength index includes the cohesion c and internal friction angle of the clayThe method is obtained by using the principles of triaxial test and direct shear test through clay laboratory test or geological survey. When the first intersection point C and the second intersection point A are drawn, the cohesive force C is taken as a distance |OC| from the first intersection point C to the origin O of the two-dimensional coordinate system, the first intersection point C is drawn on a positive half axis of the longitudinal axis Y according to the distance |OC|, and then the first intersection point C is drawn according to a formula>And calculating a second distance |OA| from the second intersection point A to the origin O of the two-dimensional coordinate system, and then drawing the second intersection point A on the negative half axis of the transverse axis X according to the second distance |OA|.
Although the method uses a part of calculation, the first intersection point C and the second intersection point A can be determined more quickly, and the drawing process is simplified.
As another preferred embodiment, referring to FIG. 2, the shear strength index includes the cohesion c and internal friction angle of the clayThe method is obtained by using the principles of triaxial test and direct shear test through clay laboratory test or geological survey. When the first intersection point C and the second intersection point A are drawn, the first intersection point C is drawn first, and the method is the same as the previous embodiment, and is not repeated here, and the first intersection point C is taken as a point on the molar-coulomb intensity envelope 12 in the limit equilibrium state, and the internal friction angle +.>Drawing the molar-coulomb intensity envelope 12 in the two-dimensional coordinate system as an angle between the molar-coulomb intensity envelope 12 and a transverse axis X; then, the molar-coulomb intensity envelope 12 is extended reversely to obtain an intersection with the transverse axis X, and the intersection is taken as the second intersection a.
This approach requires that the angle between the controlled molar-coulomb intensity envelope 12 and the horizontal axis X be measured during the drawing.
As another preferred embodiment, referring to fig. 3, the shear strength index includes the cohesion c of the clay, which is obtained by using the principles of the triaxial test and the direct shear test through clay laboratory test or geological survey. When drawing the first intersection point C and the second intersection point A, firstly, respectively drawing the limit moire circle 11 with the center on the transverse axis X in the two-dimensional coordinate system by taking the large principal stress and the small principal stress of the clay in the limit balance state as two points on the limit moire circle 11, and then drawing the first intersection point C.
This embodiment requires that the major and minor principal stresses of the clay in the extreme equilibrium state (i.e. any one of the extreme equilibrium states satisfying the shear strength index) be known in order to draw the extreme moire circle 11 corresponding to the shear strength index.
The above embodiments are only some preferred embodiments, and different embodiments have different advantages and disadvantages, specifically, the embodiments can be selected according to actual needs, and other drawing manners can also be adopted.
By adopting the method, the corresponding Moire circle can be drawn on the clay in any stress state in the two-dimensional coordinate system, on the premise that the first intersection point C (namely, the cohesive force C value of the clay) is not changed, the tangent line of any Moire circle is made through the first intersection point C, the intersection point (namely, the third intersection point) of the tangent line and the transverse axis X is obtained, the first distance from the third intersection point to the origin of the two-dimensional coordinate system is compared with the second distance obtained in the limit balance state, and whether the clay is subjected to force application damage or not is judged according to the comparison result.
The method is further described below by taking two different actual use states as examples, and reference is made to fig. 4:
and (3) obtaining a first intersection point C, a second intersection point A and a second distance |OA| according to the step (1).
According to the clay stress condition in the first use state, a first moire circle 21 is drawn, a first tangential line 22 is further drawn, and an intersection point D of a reverse extension line of the first tangential line 22 and a transverse axis X is the third intersection point, and |od| is the first distance. From the graph in the two-dimensional coordinate system, the first distance |OD| is smaller than the second distance |OA| and the clay is judged to be stressed and damaged in the first use state, so that measures for ensuring stress safety are required to be taken.
According to the clay stress condition in the second use state, a second moire circle 21' is drawn, a second tangent line 22' is further drawn, the intersection point D ' of the reverse extension line of the second tangent line 22' and the transverse axis X is the third intersection point, and then the first distance is |OD ' | and the clay is judged not to be damaged by stress in the second use state as the first distance is directly observed from the graph in the two-dimensional coordinate system.
Further, the slope of each tangent line and the size of each moire circle can be visually observed from the figure, and the judgment can be performed by comparing the slope of each tangent line or comparing the size of each moire circle, in addition to the judgment by comparing the intercept.
The method can draw through any drawing software (such as CAD and the like), thereby not only conveniently and intuitively observing the size relation of each transverse intercept, but also conveniently obtaining the coordinate value of any point in a two-dimensional coordinate system so as to be convenient for further observation or calculation. The method can intuitively obtain the size relation of the transverse intercept in the graph by means of drawing, judges whether the clay is damaged by stress in different using states by utilizing the comparison of the transverse intercept, and is simple, visual in expression and more efficient in judging the stress state compared with the traditional method for calculating parameters such as stress or friction angle.
The present invention has been described in detail with reference to the embodiments of the drawings, and those skilled in the art can make various modifications to the invention based on the above description. Accordingly, certain details of the illustrated embodiments are not to be taken as limiting the invention, which is defined by the appended claims.
Claims (6)
1. A method for judging whether clay is damaged by stress or not by comparing intercept is characterized by comprising the following steps:
drawing a first intersection point of a molar-coulomb strength envelope line of the clay in a limit balance state and a second intersection point of the molar-coulomb strength envelope line and a vertical axis and a horizontal axis in a two-dimensional coordinate system according to the shear strength index of the clay;
drawing a Morse circle with a circle center on the transverse axis in the two-dimensional coordinate system by taking the large principal stress and the small principal stress of the clay in the to-be-used state as two points on the Morse circle respectively;
drawing a tangent line to the Moire circle by taking the first intersection point as a reference, and reversely extending the tangent line to obtain a third intersection point with the transverse axis;
comparing a first distance from the third intersection point to an origin of a two-dimensional coordinate system with a second distance from the second intersection point to the origin of the two-dimensional coordinate system;
if the first distance is smaller than the second distance, judging that the clay is damaged by stress in a to-be-used state;
if the first distance is larger than the second distance, the clay is judged not to be damaged by stress in the state of waiting to be used.
2. The method for determining whether the clay is damaged by stress by comparing the intercept as claimed in claim 1, wherein:
the shear strength index comprises the cohesion C and the internal friction angle of the clay
When a first intersection point of a molar-coulomb intensity envelope line of the clay in a limit balance state and a second intersection point of the molar-coulomb intensity envelope line and a vertical axis and a horizontal axis are respectively drawn in a two-dimensional coordinate system according to the shear strength index of the clay:
taking the cohesive force C as the first intersection point;
according to the formulaCalculating a second distance from the second intersection point to the origin of the two-dimensional coordinate system;
and drawing the second intersection point on the negative half axis of the transverse axis according to the second distance.
3. The method for determining whether the clay is damaged by stress by comparing the intercept as claimed in claim 1, wherein:
the shear strength index comprises the cohesion C and the internal friction angle of the clay
When a first intersection point of a molar-coulomb intensity envelope line of the clay in a limit balance state and a second intersection point of the molar-coulomb intensity envelope line and a vertical axis and a horizontal axis are respectively drawn in a two-dimensional coordinate system according to the shear strength index of the clay:
the cohesion C is taken as the first intersection point, and the internal friction angle is taken as the internal friction angleDrawing the molar-coulomb intensity envelope in the two-dimensional coordinate system as an included angle between the molar-coulomb intensity envelope and a transverse axis;
and reversely extending the molar-coulomb intensity envelope to obtain the second intersection point.
4. The method for determining whether the clay is damaged by stress by comparing the intercept as claimed in claim 1, wherein:
the shear strength index comprises a cohesive force C of the clay;
when a first intersection point of a molar-coulomb intensity envelope line of the clay in a limit balance state and a second intersection point of the molar-coulomb intensity envelope line and a vertical axis and a horizontal axis are respectively drawn in a two-dimensional coordinate system according to the shear strength index of the clay:
drawing a limit Morr circle of the clay in a limit balance state in the two-dimensional coordinate system;
taking the cohesive force C as the first intersection point;
drawing a limit tangent line to the limit moire circle by taking the first intersection point as a reference;
and reversely extending the limit tangent to obtain the second intersection point.
5. A method of determining whether clay is damaged by a force by comparison of intercept according to any of claims 1 to 4 wherein the shear strength index is provided by clay testing or geology.
6. The method for determining whether a clay is damaged by a force according to claim 5 wherein said clay test comprises a triaxial test and a direct shear test.
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| CN202011547368.1A CN112557218B (en) | 2020-12-24 | 2020-12-24 | Method for judging whether clay is damaged by stress or not through comparison of intercept |
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| CN112557218B true CN112557218B (en) | 2024-03-19 |
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2020
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