CN116822227A - Slope dumping deformation model and stability analysis method - Google Patents
Slope dumping deformation model and stability analysis method Download PDFInfo
- Publication number
- CN116822227A CN116822227A CN202310810573.XA CN202310810573A CN116822227A CN 116822227 A CN116822227 A CN 116822227A CN 202310810573 A CN202310810573 A CN 202310810573A CN 116822227 A CN116822227 A CN 116822227A
- Authority
- CN
- China
- Prior art keywords
- bar
- slope
- dumping
- deformation
- area
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
- 238000004458 analytical method Methods 0.000 title claims abstract description 18
- 239000011435 rock Substances 0.000 claims abstract description 37
- 230000007704 transition Effects 0.000 claims abstract description 32
- 238000000034 method Methods 0.000 claims abstract description 27
- 230000006835 compression Effects 0.000 claims abstract description 5
- 238000007906 compression Methods 0.000 claims abstract description 5
- 230000005484 gravity Effects 0.000 claims description 12
- 230000008569 process Effects 0.000 claims description 9
- 230000008859 change Effects 0.000 claims description 5
- 238000005056 compaction Methods 0.000 claims description 3
- 238000001125 extrusion Methods 0.000 claims description 3
- 238000011160 research Methods 0.000 abstract description 6
- 238000007670 refining Methods 0.000 abstract description 2
- 238000005192 partition Methods 0.000 description 4
- 230000009471 action Effects 0.000 description 2
- 238000010276 construction Methods 0.000 description 2
- 230000004048 modification Effects 0.000 description 2
- 238000012986 modification Methods 0.000 description 2
- 238000012360 testing method Methods 0.000 description 2
- 238000009412 basement excavation Methods 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000013461 design Methods 0.000 description 1
- 230000001687 destabilization Effects 0.000 description 1
- 238000011161 development Methods 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 230000005611 electricity Effects 0.000 description 1
- 230000006872 improvement Effects 0.000 description 1
- 238000011835 investigation Methods 0.000 description 1
- 230000007246 mechanism Effects 0.000 description 1
- 230000002787 reinforcement Effects 0.000 description 1
- 239000011800 void material Substances 0.000 description 1
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 description 1
Landscapes
- Investigation Of Foundation Soil And Reinforcement Of Foundation Soil By Compacting Or Drainage (AREA)
Abstract
The application provides a slope dumping deformation model and a stability analysis method, which comprises the steps of dividing a dumping deformation slope into three areas from a slope toe to a slope top, namely a compression deformation area, a dumping breaking area and a dumping transition area, dividing rock mass in the three areas into strip shapes, setting potential breaking surfaces of the dumping breaking area and part of the dumping transition area into reverse steps, and judging whether the potential breaking surfaces at the bottom of each strip are broken and whether the strip has dumping damage conditions or not by carrying out calculation analysis on force and moment on each strip in the reverse steps so as to obtain the stability of the slope and the range of the potential dumping deformation damage. The slope dumping deformation model and the stability analysis method provided by the method are used for summarizing and refining engineering practice, and the stability of the slope dumping deformation of the reverse step-shaped fracture surface can be obtained by the provided calculation formula, so that the blank of the slope dumping deformation research of the reverse step-shaped fracture surface is filled.
Description
Technical Field
The application relates to the field of slope engineering, in particular to a method for analyzing the stability of a dumping deformation slope.
Background
Dumping failure is a typical form of rock slope destabilization. In the field of research on the slope with tilting deformation, calculation and analysis are generally performed according to a tilting deformation model proposed by Goodman and Bray in 1976, see fig. 1, namely, the slope is divided into strips, and a slope angle is divided into a lower sliding area, a middle tilting area and an upper stable area from the slope top to the slope top, wherein a breaking surface is in an upward positive step shape, i.e. the breaking surface of the upper strip is higher than that of the lower strip. Through the construction practice of the water and electricity hydraulic engineering in the western mountain gorge valley area, the slope is inclined and deformed towards the free surface under the conditions of dead weight, external load or slope toe excavation, the fracture surface is in a continuous or discontinuous reverse step shape from the slope toe to the slope top, and the actual inclined and deformed damage does not accord with the Goodman-Bray model. At present, the research on the inclined deformation slope of the reverse step-shaped fracture surface lacks a corresponding deformation damage model and a stability calculation analysis method.
Therefore, a new slope dumping model and a new stability analysis method are needed to be researched, and technical support is provided for dumping deformation slope stability analysis.
Disclosure of Invention
The embodiment of the application aims to provide a slope dumping deformation model and a stability analysis method, and the stability of a dumping deformation slope of a reverse step-shaped fracture surface can be obtained by a proposed calculation formula, so that the blank of the dumping deformation slope research is filled.
In a first aspect, the present application provides a method for analyzing stability of slope dumping deformation, including:
the slope dumping deformation model is built, namely the slope model is divided into three areas from the slope toe to the slope top, namely a compressed deformation area, a dumping breaking area and a dumping transition area, rock mass in the three areas is divided into strip shapes, potential breaking surfaces where the dumping breaking area and part of the dumping transition area are located are set to be reverse steps, and whether the potential breaking surfaces at the bottom of each strip block are broken or not and whether the strip blocks have dumping damage conditions or not are judged through calculation and analysis of force and moment of each strip block in the reverse steps so as to analyze the stability of the slope and the range of the potential dumping deformation damage.
In one embodiment, the acting force applied to each bar includes the pushing force and the friction force of the upper bar, the resisting force and the friction force of the lower bar, the gravity of the bar and the pulling force or the pressure of the rock mass at the bottom of the bar, and the condition that whether the potential fracture surface at the bottom of each bar breaks or not and whether the bar has dumping fracture is judged by calculating the force and the moment of each bar in the reverse step comprises:
using formula (1): w (W) i ＝T i+1 ×(0.5×Ls i -d i )+G i sinα i ×(0.5×Lm i -d i ) Calculating the tilting moment W of the ith bar i The method comprises the steps of carrying out a first treatment on the surface of the Using formula (2): w'. i ＝R ti ×D i 2 /3+(G i ×cosα i /2+τ i+1 )×D i Calculating the anti-tilting moment W 'of the ith bar block' i Wherein: t (T) i+1 Initial value T for thrust of upper bar 1 ＝0；G i Is the gravity of the bar itself; r is R ti Tensile strength of rock mass at the bottom of the bar block; τ i+1 Friction force of the upper side surface of the bar block; ls (Ls) i The length of the upper edge of the bar block; lx (Lx) i The length of the lower edge of the bar block; lm (Lm) i The length of the middle part of the bar block; d (D) i The width of the strip block; d, d i The distance from the origin to the bottom fracture surface is set for the rotation of the bar; alpha i The intersection angle between the vertical direction of gravity and the center line of the bar block;
when W is i ＞W’ i When the ith bar block is judged to be toppled and damaged;
when W is i ＝W’ i When the ith bar block is in a limit balance state, judging that the ith bar block is in a limit balance state;
when W is i ＜W’ i And judging that the ith bar block is in a stable state.
In one embodiment, the friction τ of the upper side of the bar i+1 ＝T i+1 And x f, wherein f is the coefficient of friction between the bars.
In one embodiment, the dividing the slope model into three areas of a compressive deformation area, a pouring break area and a pouring transition area in sequence comprises:
and (3) observing and acquiring geological conditions of the research slope in the field, and approximately dividing the slope model into a compressive deformation area, a pouring break area and a pouring transition area according to potential deformation characteristics of the slope.
In one embodiment, the compressive deformation area is a stress concentration area of the slope toe, the rock mass deformation is mainly compaction and extrusion deformation, and the accumulated plastic deformation amount of the compressive deformation area provides a space condition for the occurrence of middle dumping fracture; the dumping breaking area is positioned in the middle part and the upper part of the side slope, the deformation characteristic of the dumping breaking area is a breaking surface, a pulling crack cavity or a blank joint which are obvious in growth of the bottom of the strip block, and the strip block rock mass in the dumping breaking area is dumped and bent towards the slope toe; the rock mass tilting deformation amount in the tilting transition zone is gradually reduced, the rock mass is bent without obvious fracture surface, and the rock mass is gradually transited to the original state from the slope top.
In one embodiment, the compressive deformation zone, the pouring break zone, and the pouring transition zone are in a gradual state.
In one embodiment, the stick is rotated about the start of the fracture surface of the adjacent lower stick upon failure by tipping, the stick not deforming and breaking internally during rotation.
In one embodiment, the potential fracture surface at the bottom of each bar is approximately perpendicular to the long sides of the bar, and the end point of the potential fracture surface at the bottom of each bar is lower than the starting point of the fracture surface of the lower adjacent bar, and the reverse steps of the potential fracture surfaces can be continuously distributed or discontinuously distributed.
In a second aspect, the application also provides a slope dumping deformation model, which sequentially comprises a pressed deformation area, a dumping breaking area and a dumping transition area from a slope toe to a slope top, wherein the rock mass model in the three areas is in a bar shape, and potential breaking surfaces where the dumping breaking area and part of dumping transition area are positioned are arranged in a reverse step shape; the acting force applied by each bar block comprises the thrust and friction force of the upper bar block, the resistance and friction force of the lower bar block, the gravity of the bar block and the pulling force or pressure of rock mass at the bottom of the bar block, when the potential fracture surface at the bottom of each bar block is close to the long side of the bar block and vertical to the bar block, the potential fracture surface rotates around the starting point of the fracture surface of the adjacent lower bar block, the end point of the potential fracture surface at the bottom of each bar block is lower than the starting point of the fracture surface of the adjacent lower bar block, and the bar block is not deformed and destroyed in the rotation process.
In one embodiment, the compressive deformation zone, the fracture zone, and the transition zone are graded, and the reverse steps of the potential fracture surface may be distributed continuously or discontinuously.
The slope dumping deformation model and the stability analysis method have the beneficial effects that:
based on summarizing and refining the side slope dumping deformation damage phenomenon in actual engineering, the dumping deformation model of the reverse step-shaped fracture surface is provided, and the stability of the dumping deformation side slope is obtained by combining the reverse step-shaped fracture surface model, so that the blank of the dumping deformation side slope model of the reverse step-shaped fracture surface and a calculation analysis method is filled. The accuracy of stability prediction of the dumping deformation slope is improved, the theoretical basis of the whole analysis and calculation process is clear, and the result reflects the actual situation. Provides a brand new analysis method for dumping the deformed slope, and has a certain technical innovation significance and higher engineering application value.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present application, the drawings that are needed in the embodiments will be briefly described below, it being understood that the following drawings only illustrate some embodiments of the present application and therefore should not be considered as limiting the scope, and other related drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a model of the prior art pouring deformation proposed by Goodman and Bray;
FIG. 2 is a model of slope dumping deformation shown in accordance with an embodiment of the application;
fig. 3 is a schematic diagram of bar stress in the slope dumping deformation model shown in fig. 2.
100. A compression deformation zone; 200. pouring the broken area; 300. dumping the transition zone; 400. a slope; 500. slope level; 600. potential fracture surfaces; 700. and (5) a bar block.
Detailed Description
For the purpose of making the objects, technical solutions and advantages of the embodiments of the present application more apparent, the technical solutions of the embodiments of the present application will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present application, and it is apparent that the described embodiments are some embodiments of the present application, but not all embodiments of the present application. The components of the embodiments of the present application generally described and illustrated in the figures herein may be arranged and designed in a wide variety of different configurations.
Thus, the following detailed description of the embodiments of the application, as presented in the figures, is not intended to limit the scope of the application, as claimed, but is merely representative of selected embodiments of the application. All other embodiments, which can be made by those skilled in the art based on the embodiments of the application without making any inventive effort, are intended to be within the scope of the application.
In a first aspect, the present application provides a method for analyzing stability of slope dumping deformation, fig. 2 is a model of slope dumping deformation according to an embodiment of the present application, referring to fig. 2, a slope dumping deformation failure mechanism in the present application is that a rock body is dumped to an empty surface under the action of self-weight stress and external load, and for such deformation, the method for analyzing stability of slope dumping deformation provided by the present application includes:
when the slope dumping deformation model is built, the slope model is divided into three areas from the slope toe to the slope top, namely a compressive deformation area 100, a dumping breaking area 200 and a dumping transition area 300, a slope representative section is taken, the slope 400, a slope layer 500 and other structural surface development characteristics are combined, and rock mass in the slope model is divided into strip blocks according to the deformation characteristics. And setting the form of the potential fracture surface 600 of the fracture surface by combining with field investigation by a geological engineer with rich experience, namely setting the potential fracture surface 600 where the dumping fracture region 200 and the partial dumping transition region 300 are positioned as reverse steps, wherein the compressive deformation region 100 is positioned in a stress concentration region of the side legs of the slope, the rock mass deformation is mainly compaction and extrusion deformation, no obvious fracture surface exists, and the accumulated plastic deformation provides space conditions for dumping fracture of the middle region. The dumping breaking area 200 is positioned in the middle and upper part of the slope and is characterized by a breaking surface, a cavity or a void which is obviously developed at the bottom of the bar 700, and the like, and the rock mass can be observed to bend towards the slope toe in a bar shape from the side direction of the slope under the actual geological condition. The dumping transition area 300 gradually weakens the dumping deformation, and the rock mass is slightly bent without obvious fracture surface and gradually transits to the original state. And then, by carrying out calculation and analysis on the force and the moment of each bar 700 in the reverse step, judging whether the potential fracture surface 600 at the bottom of each bar 700 is broken or not and whether the bar 700 has the condition of toppling damage or not, so as to analyze the stability of the side slope and the range of potential toppling deformation damage.
In one embodiment, determining whether a potential fracture surface at the bottom of each bar is subject to dumping failure by performing force and moment calculations on each bar in the reverse step comprises:
referring to fig. 3, the force applied to each bar 700 mainly includes the pushing force and friction of the upper bar, the resisting force and friction of the lower bar, the gravity of the bar itself and the pulling or pressing force of the rock mass at the bottom of the bar, wherein the pulling or pressing force at the bottom is determined according to the moment balance state of the bar. The calculation of the forces and moments includes: using formula (1): w (W) i ＝T i+1 ×(0.5×Ls i -d i )+G i sinα i ×(0.5×Lm i -d i ) Calculating the tilting moment W of the ith bar i The method comprises the steps of carrying out a first treatment on the surface of the Using formula (2): w'. i ＝R ti ×D i 2 /3+(G i ×cosα i /2+τ i+1 )×D i Calculating the anti-tilting moment W 'of the ith bar block' i Wherein: t (T) i+1 Initial value T for thrust of upper bar 1 ＝0；G i Is the gravity of the bar itself; r is R ti The tensile strength of the rock mass at the bottom of the bar block can be determined by a test; τ i+1 Friction force of the upper side surface of the bar block; ls (Ls) i The length of the upper edge of the bar block; lx (Lx) i The length of the lower edge of the bar block; lm (Lm) i Is a stripThe length of the middle part of the block; d (D) i The width of the strip block; d, d i The distance from the origin to the bottom fracture surface is set for the rotation of the bar; alpha i The intersection angle between the vertical direction of gravity and the center line of the bar block; wherein τ i+1 ＝T i+1 Xf, wherein f is the coefficient of friction between the bars;
when W is i ＞W’ i When the ith bar block is judged to be toppled and damaged;
when W is i ＝W’ i When the ith bar block is in a limit balance state, judging that the ith bar block is in a limit balance state;
when W is i ＜W’ i And judging that the ith bar block is in a stable state.
In the above calculation process, referring to fig. 3, in the present application, it is determined whether the potential fracture surface 600 at the bottom of each bar 700 is broken, and the bar 700 is set to rotate around the starting point o of the fracture surface of the adjacent lower bar when the bar 700 is broken by dumping, so that the bar is not deformed and broken during the rotation process. The potential fracture surface at the bottom of each bar 700 is approximately perpendicular to the long sides of the bar, the end point of the potential fracture surface at the bottom of each bar is lower than the starting point of the fracture surface of the lower adjacent bar, and the reverse steps of the potential fracture surface can be distributed continuously or discontinuously. The thrust, resistance and friction force on two sides of the bar act near the midpoint of the stress surface, the gravity acts on the centroid of the bar, the pulling force or pressure acting direction of the bottom is perpendicular to the fracture surface, and tau i The friction force of the lower side of the bar is calculated, but the action direction of the friction force passes through the rotation origin o of the toppling deformation, and the generated force distance is 0, so that the friction force is ignored.
Specifically, the actual calculation of the ith bar takes, in one embodiment, i=10, ls 10 ＝45.86m，Lx 10 ＝44.88m，Lm 10 ＝45.37m，d 10 ＝5.18m，D 10 ＝10.00m，α 10 =0.52, f=0.30, rock mass bulk weight 25kN/m 3 Determination of R by test t10 =300.00 kPa, calculate T 11 ＝1280.77kN，G 10 ＝11342.50kN，G 10 cosα 10 ＝9822.89kN，G 10 sinα 10 ＝5671.26kN，τ 11 ＝384.23，R t10 ×D 10 2 3=10000.00 kN; further calculate W i ＝131710.95kNm、W’ i The moment difference DeltaW= 68754.21kNm generated by 62956.74kNm judges that the 10 th bar has the condition of toppling damage, the potential toppling deformation damage range of the side slope comprises the 10 th rock mass, and the acting force T of the bar to the next bar can be calculated 10 ＝4562.82kN。
In the implementation process, the slope is divided into a compression deformation area, a dumping breaking area and a dumping transition area from the toe to the top of the slope in sequence, the dumping slope is divided into strip blocks, the broken surface on the section of the slope is assumed to be in a continuous or discontinuous reverse step shape, the calculation of force or moment is carried out on each strip block, whether the potential breaking surface at the bottom of each strip block reaches a pulling crack breaking state is judged, and finally the potential dumping deformation breaking range and the stability of the slope are determined. After the stability of all the bars of the side slope is calculated, the calculated bar distribution area which is subject to dumping damage is a dumping deformation area, the bar distribution area in a limit balance state is a critical damage area, and the bar distribution area in a stable state is a stable area. Thus, the dumping deformation area of the slope which is dumped and deformed to the temporary surface is accurately calculated, and accurate theoretical calculation is provided for the slope reinforcement design of the type of damage mode. The method for calculating the slope dumping deformation stability is based on summary and refinement of engineering practice, can obtain the stability of the slope dumping deformation of the reverse step-shaped fracture surface, and fills the blank of research on the slope dumping deformation of the reverse step-shaped fracture surface.
In one embodiment, dividing the slope model into three areas, namely a compressive deformation area, a pouring break area and a pouring transition area, in sequence comprises:
and (3) observing and acquiring geological conditions of the slope to be modeled in the field, and approximately dividing the slope model into a pressed deformation area, a pouring break area and a pouring transition area according to deformation characteristics of the slope in the geological conditions. The method is characterized in that a geological engineer combines field actual observation and slope engineering geological conditions, the slope is partitioned according to potential deformation damage characteristics of the slope, the slope partition of the model is more fit with the actual slope partition, and in the calculation process, the area where the slope is subjected to dumping damage is calculated more accurately based on the actual geological conditions.
In one embodiment, based on the summary and refinement of the slope dumping deformation damage phenomenon in actual engineering, the compressive deformation region 100, the dumping breaking region 200 and the dumping transition region 300 in the slope model are in continuous gradual change states, and the dividing manner realizes the accurate calculation of the slope dumping deformation type. When the actual geological conditions of the side slope are hard rock, the compressive deformation region 100, the pouring fracture region 200 and the pouring transition region 300 have obvious partition boundaries, and when the actual geological conditions of the side slope are medium hard rock and soft rock, the partition boundaries are not obvious.
The stability analysis method of the dumping deformation slope disclosed by the application is adopted to analyze the stability of a certain dumping deformation slope, and calculate the dumping moment W of each bar block i And anti-tilting moment W' i According to the calculated moment, the moment arm length of the combined moment is used for calculating the thrust change of the bar blocks from the top of the slope to the bottom of the slope, and the thrust change is shown in a specific line graph, wherein the abscissa is the bar block number, the ordinate is the downward thrust born by each bar block, the unit is kN, the bar blocks 17-19 are the sliding blocks on the top of the slope, the bar blocks 12-16 are stable bar blocks, the bar blocks 4-11 are bar blocks with the toppling deformation condition, the bar blocks 1-3 are critical stable blocks on the bottom of the slope, and the corresponding rock blocks from the 4 th bar block to the 11 th bar block can be reinforced according to the calculation result or the toppling deformation region can be comprehensively considered in the actual construction process.
TABLE 1 thrust variation for each bar from crest to toe
In a second aspect, the application further provides a slope dumping deformation model, referring to fig. 2, the slope dumping deformation model sequentially comprises three areas from a slope toe to a slope top, namely a compressive deformation area 100, a dumping breaking area 200 and a dumping transition area 300, the rock mass models in the three areas are in a bar shape, and potential breaking surfaces where the dumping breaking area 200 and part of the dumping transition area 300 are located are arranged to be in reverse steps; the forces to which each bar 700 is subjected include the pushing and friction of the upper bar, the resisting and friction of the lower bar, the weight of the bar itself and the pulling or compression of the rock mass at the bottom of the bar. The strip is rotated around the starting point of the fracture surface of the adjacent lower strip when being broken in a toppling way, the potential fracture surface at the bottom of each strip is approximately perpendicular to the long side of the strip, the end point of the potential fracture surface at the bottom of each strip is lower than the starting point of the fracture surface of the adjacent lower strip, and the strip is not deformed and broken in the rotating process.
In one embodiment, the compressive deformation region 100, the fracture zone 200, and the transition zone 300 are graded, and the reverse steps of the potential fracture surface may be continuously distributed or discontinuously distributed.
The above description is only of the preferred embodiments of the present application and is not intended to limit the present application, but various modifications and variations can be made to the present application by those skilled in the art. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present application should be included in the protection scope of the present application.
Claims (10)
1. A method for analyzing stability of slope dumping deformation, comprising:
dividing a dumping deformation slope model into three areas from a slope toe to a slope top, namely a compression deformation area, a dumping breaking area and a dumping transition area, dividing rock mass in the three areas into strip shapes, setting potential breaking surfaces where the dumping breaking area and part of the dumping transition area are located as reverse steps, and judging whether the potential breaking surfaces at the bottom of each strip block are broken and whether the strip block has dumping damage conditions or not through carrying out force and moment calculation analysis on each strip block in the reverse steps so as to analyze the stability of the slope and the range of the potential dumping deformation damage.
2. The method for analyzing the stability of the slope dumping deformation according to claim 1, wherein the acting force applied to each bar includes the pushing force and the friction force of the upper bar, the resisting force and the friction force of the lower bar, the gravity of the bar itself and the pulling force or the pressure of the rock mass at the bottom of the bar, and the determining whether the potential fracture surface at the bottom of each bar is broken and whether the bar has the dumping fracture condition by calculating the force and the moment of each bar in the reverse step includes:
using formula (1): w (W) i ＝T i+1 ×(0.5×Ls i -d i )+G i sinα i ×(0.5×Lm i -d i ) Calculating the tilting moment W of the ith bar i The method comprises the steps of carrying out a first treatment on the surface of the Using formula (2): w (W) ’ i ＝R ti ×D i 2 /3+(G i ×cosα i /2+τ i+1 )×D i Calculating the anti-tilting moment W 'of the ith bar block' i Wherein: t (T) i+1 Initial value T for thrust of upper bar 1 ＝0；G i Is the gravity of the bar itself; r is R ti Tensile strength of rock mass at the bottom of the bar block; τ i+1 Friction force of the upper side surface of the bar block; ls (Ls) i The length of the upper edge of the bar block; lx (Lx) i The length of the lower edge of the bar block; lm (Lm) i The length of the middle part of the bar block; d (D) i The width of the strip block; d, d i The distance from the origin to the bottom fracture surface is set for the rotation of the bar; alpha i The intersection angle between the vertical direction of gravity and the center line of the bar block;
when W is i ＞W’ i When the ith bar block is judged to be toppled and damaged;
when W is i ＝W’ i When the ith bar block is in a limit balance state, judging that the ith bar block is in a limit balance state;
when W is i ＜W’ i And judging that the ith bar block is in a stable state.
3. The method for analyzing the stability of the dumping deformation of a side slope according to claim 2, wherein the friction force tau of the upper side face of the bar is equal to or greater than i+1 ＝T i+1 And x f, wherein f is the coefficient of friction between the bars.
4. The method for analyzing the stability of the slope pouring deformation according to claim 1, wherein the dividing the slope model into three areas, namely a compressive deformation area, a pouring break area and a pouring transition area, in sequence comprises:
and (3) observing and acquiring geological conditions of the side slope in the field, and approximately dividing the side slope model into a pressed deformation area, a pouring break area and a pouring transition area according to the geological conditions and the deformation trend of the side slope.
5. The method for analyzing the stability of slope dumping deformation according to claim 4, wherein the compressive deformation area is a stress concentration area of slope feet of the slope, rock mass deformation is mainly compaction and extrusion deformation, and the accumulated plastic deformation amount of the compressive deformation area provides a space condition for occurrence of middle dumping fracture; the dumping breaking area is positioned in the middle part and the upper part of the side slope, the deformation characteristic of the dumping breaking area is a breaking surface, a pulling crack cavity or a blank joint which is obvious in growth of the bottom of the strip block, and the strip block rock mass in the dumping breaking area is dumped and bent towards the toe of the side slope; the rock mass tilting deformation amount in the tilting transition zone is gradually reduced, the rock mass is bent without obvious fracture surface, and the rock mass is gradually transited to the original state from the slope top.
6. The method for analyzing the stability of slope pouring deformation according to claim 5, wherein the compressive deformation region, the pouring break region and the pouring transition region are in a gradual change state.
7. The method of analyzing the stability of the tilting deformation of a side slope according to claim 2, wherein the bar is rotated around the starting point of the fracture surface of the adjacent lower bar when the tilting fracture occurs, and the bar is not deformed and broken internally during the rotation.
8. The method of claim 2, wherein the potential fracture surface of the bottom of each bar is approximately perpendicular to the long side of the bar, and the end point of the potential fracture surface of the bottom of each bar is lower than the starting point of the fracture surface of the lower adjacent bar, and the reverse steps of the potential fracture surfaces can be continuously distributed or discontinuously distributed.
9. The slope dumping deformation model is characterized by sequentially comprising a pressed deformation area, a dumping breaking area and a dumping transition area from a slope toe to a slope top, wherein rock mass models in the three areas are bar-shaped, and potential breaking surfaces where the dumping breaking area and part of dumping transition area are located are arranged to be reverse step-shaped; the acting force applied by each bar comprises the pushing force and the friction force of the upper bar, the resistance and the friction force of the lower bar, the gravity of the bar and the pulling force or the pressure of a rock mass at the bottom of the bar, the potential fracture surface at the bottom of each bar is approximately perpendicular to the long side of the bar, the bar rotates around the starting point of the fracture surface of the adjacent lower bar when being toppled and broken, the end point of the potential fracture surface at the bottom of each bar is lower than the starting point of the fracture surface of the adjacent lower bar, and the bar is not deformed and broken in the rotation process.
10. A slope pouring deformation model according to claim 9, wherein the compressive deformation zone, the pouring break zone and the pouring transition zone are in a gradual change state, and the reverse steps of the potential fracture surface can be continuously distributed or discontinuously distributed.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202310810573.XA CN116822227B (en) | 2023-07-04 | 2023-07-04 | Slope dumping deformation model and stability analysis method |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202310810573.XA CN116822227B (en) | 2023-07-04 | 2023-07-04 | Slope dumping deformation model and stability analysis method |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN116822227A true CN116822227A (en) | 2023-09-29 |
| CN116822227B CN116822227B (en) | 2024-05-14 |
Family
ID=88115242
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202310810573.XA Active CN116822227B (en) | 2023-07-04 | 2023-07-04 | Slope dumping deformation model and stability analysis method |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN116822227B (en) |
Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107341285A (en) * | 2017-05-26 | 2017-11-10 | 昆明理工大学 | Jointed rock slope Inclining destruction analysis of Ultimate Lower Bound Limit under a kind of seismic force effects |
| CN107609299A (en) * | 2017-09-27 | 2018-01-19 | 辽宁工程技术大学 | A kind of optimization method of inclined substrate internal dumping side slope form |
| CN112149259A (en) * | 2020-10-21 | 2020-12-29 | 华东勘测设计院(福建)有限公司 | Water storage stability calculation method and device for toppling and collapsing slope and storage medium |
| CN112231898A (en) * | 2020-09-29 | 2021-01-15 | 中国水利水电科学研究院 | Three-dimensional analysis method for stability of rock dumping slope |
| CN114297864A (en) * | 2021-12-31 | 2022-04-08 | 中国电建集团贵阳勘测设计研究院有限公司 | Cracked loose rock mass slope stability analysis method controlled by steep and gentle dip angles |
| CN114722566A (en) * | 2022-03-02 | 2022-07-08 | 中铁二院工程集团有限责任公司 | Stability processing method based on bank landslide partition |
-
2023
- 2023-07-04 CN CN202310810573.XA patent/CN116822227B/en active Active
Patent Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107341285A (en) * | 2017-05-26 | 2017-11-10 | 昆明理工大学 | Jointed rock slope Inclining destruction analysis of Ultimate Lower Bound Limit under a kind of seismic force effects |
| CN107609299A (en) * | 2017-09-27 | 2018-01-19 | 辽宁工程技术大学 | A kind of optimization method of inclined substrate internal dumping side slope form |
| CN112231898A (en) * | 2020-09-29 | 2021-01-15 | 中国水利水电科学研究院 | Three-dimensional analysis method for stability of rock dumping slope |
| CN112149259A (en) * | 2020-10-21 | 2020-12-29 | 华东勘测设计院(福建)有限公司 | Water storage stability calculation method and device for toppling and collapsing slope and storage medium |
| CN114297864A (en) * | 2021-12-31 | 2022-04-08 | 中国电建集团贵阳勘测设计研究院有限公司 | Cracked loose rock mass slope stability analysis method controlled by steep and gentle dip angles |
| CN114722566A (en) * | 2022-03-02 | 2022-07-08 | 中铁二院工程集团有限责任公司 | Stability processing method based on bank landslide partition |
Non-Patent Citations (3)
| Title |
|---|
| PETER F. HINRICHSEN: "The toppling of a uniform rectangular block", 《AMERICAN JOURNAL OF PHYSICS》, 1 November 2021 (2021-11-01), pages 1026 - 1032 * |
| 张以晨;佴磊;沈世伟;王洁玉;: "反倾层状岩质边坡倾倒破坏力学模型", 吉林大学学报(地球科学版), no. 1, 26 September 2011 (2011-09-26), pages 212 - 218 * |
| 陈玺: "岩质边坡倾倒破坏稳定与变形机理研究", 《中国优秀硕士学位论文全文数据库工程科技Ⅱ辑》, 15 January 2019 (2019-01-15), pages 038 - 3832 * |
Also Published As
| Publication number | Publication date |
|---|---|
| CN116822227B (en) | 2024-05-14 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| Giardina et al. | Numerical analysis of a masonry façade subject to tunnelling-induced settlements | |
| Pan et al. | A comparative study of the different procedures for seismic cracking analysis of concrete dams | |
| Zhang et al. | New stability calculation method for rock slopes subject to flexural toppling failure | |
| Liu | Behaviour of eccentrically loaded high-strength rectangular concrete-filled steel tubular columns | |
| Indraratna et al. | A shear-displacement criterion for soil-infilled rock discontinuities | |
| Zampieri et al. | Seismic capacity of masonry arches with irregular abutments and arch thickness | |
| Orduña | Non-linear static analysis of rigid block models for structural assessment of ancient masonry constructions | |
| Borges et al. | Structural behaviour and parametric study of reinforced embankments on soft clays | |
| Haberfield et al. | Some recent advances in the modelling of soft rock joints in direct shear | |
| Lan et al. | Seismic performance of steel-concrete composite structural walls with prestressed internal bracing | |
| Bouzid | Finite element analysis of slope stability by expanding the mobilized principal stress Mohr's circles–Development, encoding and validation | |
| CN116822227B (en) | Slope dumping deformation model and stability analysis method | |
| Kraus et al. | Nonlinear finite-element analysis of concrete dowels | |
| Colas et al. | Yield design of dry‐stone masonry retaining structures—Comparisons with analytical, numerical, and experimental data | |
| LADE et al. | Softening and preshearing effects in sand | |
| Mei et al. | Experimental investigation and finite element analysis for seismic capacity prediction of RC shear keys with different failure modes | |
| Riyad et al. | Progressive failure and scale effect of anchor foundations in sand | |
| Ooi et al. | Numerical study of an integral abutment bridge supported on drilled shafts | |
| Grindheim et al. | Laboratory tests of large-scale block models on the load transfer and failure mechanisms of rock masses subjected to anchor loading | |
| Betti et al. | A numerical insight into the reliability of seismic strength models for masonry piers and spandrels | |
| Chen et al. | Moment/thrust interaction diagrams for reinforced masonry sections | |
| Pardeshi et al. | Performance evaluation of innovative coconut palm stem shaped stud shear connector for composite structures | |
| CN209670190U (en) | A kind of wave inception shape steel-concrete combined beam | |
| Zeng et al. | Cyclic py curve model of piles subjected to two-way load considering the collapse and densification of sand | |
| CN111985021A (en) | Safety degree analysis method for all-over joint fluid-solid coupling of shield excavation surface |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |