Calculation method and system for solving analytical solution of sliding surface creep based on point safety factor method

Through the calculation method based on the point safety coefficient method, the slope is divided into multiple strips, stress analysis and stress decomposition are carried out, and the creep constitutive model is constructed, which solves the problem of cumbersome numerical analysis of slope creep and achieves efficient slope stability prediction.

CN118536292BActive Publication Date: 2025-05-13SOUTHWEST JIAOTONG UNIV +2
View PDF 0 Cites 0 Cited by

Patent Information

Application Number
CN202410626117.4
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2024-05-20
Publication Date
2025-05-13
Estimated Expiration
2044-05-20

AI Technical Summary

Technical Problem

The prior art requires a lot of modeling and numerical software operations in numerical analysis of slope creep, and the process is cumbersome and it is difficult to efficiently predict slope stability.

Method used

The calculation method based on the point safety coefficient method is used to divide the landslide into multiple strips horizontally. Through stress analysis and stress decomposition, a creep constitutive model is constructed, and the analytical solution of the creep surface is solved to obtain the creep curve of the sliding surface with time.

Benefits of technology

The numerical analysis process of slope creep is simplified, the conceptual clarity and simplicity of the calculation is improved, and the cumbersome numerical calculations are avoided, and the slope stability can be effectively predicted in actual projects.

✦ Generated by Eureka AI based on patent content.

Smart Images

  • Figure CN118536292B_ABST
    Figure CN118536292B_ABST
Patent Text Reader

Abstract

The invention provides a calculation method and system for solving the analytical solution of sliding surface creep based on the point safety factor method, which relates to the technical field of slope stability prediction, including dividing the landslide into a plurality of strips in the transverse direction; performing force analysis on each strip, and using the point safety factor method of slope stability to sequentially calculate the final sliding force of each strip parallel to the sliding surface and the normal force perpendicular to the sliding surface; decomposing the final sliding force and the normal force of the strip respectively based on the sliding surface attribute information to obtain the initial stress of the sliding surface of each strip; constructing a creep constitutive model, substituting the initial stress of the sliding surface into the creep constitutive model, and obtaining the analytical solution of creep of the strip at any time; and obtaining the creep curve of the sliding surface of the strip over time according to the analytical solution of creep of the strip at multiple times. The invention is used to solve the technical problem that the existing analysis of slope creep requires a large amount of modeling and numerical software operation, and the process is cumbersome.
Need to check novelty before this filing date? Find Prior Art

Description

Technical Field

[0001] The present invention relates to the technical field of slope stability prediction, and in particular to a calculation method and system for solving an analytical solution of sliding surface creep based on a point safety factor method. Background Art

[0002] Creep is one of the important mechanical properties of geotechnical materials. When the stress level of the geotechnical medium reaches or exceeds the creep lower limit of the geotechnical material, creep deformation will occur over time. At present, most of the research on creep is to improve the classical creep model by conducting indoor and outdoor creep tests on geotechnical bodies, and then use numerical simulation software to calculate the displacement time curve of the slope, so as to evaluate the stability. However, the calculation of numerical analysis methods needs to go through the whole process of "modeling-defining constitutive-assigning parameters-precision solution", which requires the calculator to have a good understanding of the principles of numerical analysis and the physical and mechanical properties of geotechnical bodies. For the numerical analysis of slope creep, a lot of modeling and numerical software operation processes are also required, which is cumbersome. Summary of the invention

[0003] The purpose of the present invention is to provide a calculation method and system for solving the analytical solution of sliding surface creep based on the point safety factor method to improve the above problems. In order to achieve the above purpose, the technical solution adopted by the present invention is as follows:

[0004] In a first aspect, the present application provides a calculation method for solving the analytical solution of sliding surface creep based on the point safety factor method, comprising:

[0005] Obtaining a landslide to be solved, and dividing the landslide into a plurality of strips and blocks laterally;

[0006] The force analysis is carried out on each strip, and the final sliding force of each strip parallel to the sliding surface and the normal force perpendicular to the sliding surface are calculated in turn using the point safety factor method of slope stability.

[0007] Obtaining the sliding surface property information of each bar, and decomposing the final sliding force and normal force of the bar respectively based on the sliding surface property information to obtain the initial sliding surface stress of each bar;

[0008] Constructing a creep constitutive model, substituting the initial stress of the sliding surface into the creep constitutive model, and obtaining the creep analytical solution of the strip at any time;

[0009] According to the creep analytical solution of the strip at multiple times, the creep curve of the strip's sliding surface changing with time is obtained.

[0010] In a second aspect, the present application also provides a computing system for solving the analytical solution of sliding surface creep based on the point safety factor method, comprising:

[0011] Division module: obtain the landslide to be solved, and divide the landslide into a number of strips and blocks horizontally;

[0012] Force analysis module: Perform force analysis on each strip, and use the point safety factor method of slope stability to calculate the final sliding force of each strip parallel to the sliding surface and the normal force perpendicular to the sliding surface;

[0013] Decomposition module: obtaining the sliding surface attribute information of each bar, and decomposing the final sliding force and normal force of the bar based on the sliding surface attribute information to obtain the initial sliding surface stress of each bar;

[0014] Model building module: building a creep constitutive model, substituting the initial stress of the sliding surface into the creep constitutive model, and obtaining the creep analytical solution of the strip at any time;

[0015] Analytical module: Based on the creep analytical solution of the strip at multiple times, the creep curve of the sliding surface of the strip changing with time is obtained.

[0016] In a third aspect, the present application further provides a computing device for solving the analytical solution of sliding surface creep based on the point safety factor method, comprising:

[0017] Memory for storing computer programs;

[0018] A processor is used to implement the steps of the calculation method for solving the analytical solution of sliding surface creep based on the point safety factor method when executing the computer program.

[0019] In a fourth aspect, the present application further provides a readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the steps of the above-mentioned calculation method for solving the analytical solution of sliding surface creep based on the point safety factor method.

[0020] The beneficial effects of the present invention are:

[0021] The present invention calculates the shear stress and normal stress of each strip sliding surface by the point safety factor method proposed for the first time, and further obtains the initial stress of the sliding surface of the strip sliding surface by decomposition, substitutes the initial stress of the sliding surface into the rock creep model, obtains the value of the sliding surface strain of each strip sliding surface changing with time, and thus obtains the sliding surface creep analytical solution of the entire slope. The method has the characteristics of clear concept and simple calculation, avoids the tediousness of numerical calculation, and can play a good role in practical engineering.

[0022] Other features and advantages of the present invention will be described in the following description, and partly become apparent from the description, or be understood by implementing the embodiments of the present invention. The purpose and other advantages of the present invention can be realized and obtained by the structures particularly pointed out in the written description, claims, and drawings. BRIEF DESCRIPTION OF THE DRAWINGS

[0023] In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings required for use in the embodiments are briefly introduced below. It should be understood that the following drawings only show certain embodiments of the present invention and therefore should not be regarded as limiting the scope. For ordinary technicians in this field, other related drawings can be obtained based on these drawings without creative work.

[0024] Figure 1 It is a schematic flow chart of a calculation method for solving the analytical solution of sliding surface creep based on the point safety factor method described in Example 1 of the present invention;

[0025] Figure 2 This is a schematic diagram of slope division in Example 1 of the present invention;

[0026] Figure 3 Schematic diagram of the second mechanical equilibrium model in Example 1 of the present invention;

[0027] Figure 4 This is a schematic diagram of slope division in Example 2 of the present invention;

[0028] Figure 5 Schematic diagram of shear stress and normal stress of a bar in Example 2 of the present invention;

[0029] Figure 6 This is a schematic diagram of the initial stress on the sliding surface of the strip in Example 2 of the present invention;

[0030] Figure 7 Schematic diagram of the vertical creep curve of the strip in Example 2 of the present invention;

[0031] Figure 8 It is a schematic diagram of the horizontal creep curve of the strip in Example 2 of the present invention;

[0032] Fig. 9 It is a schematic diagram of the structure of a computing system for solving the analytical solution of sliding surface creep based on the point safety factor method described in an embodiment of the present invention;

[0033] Fig.10 It is a schematic diagram of the structure of a computing device for solving the analytical solution of sliding surface creep based on the point safety factor method described in an embodiment of the present invention.

[0034] Markings in the figure:

[0035] 800. A computing device for solving the analytical solution of sliding surface creep based on the point safety factor method; 801. A processor; 802. A memory; 803. A multimedia component; 804. An I / O interface; 805. A communication component. DETAILED DESCRIPTION

[0036] In order to make the purpose, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are part of the embodiments of the present invention, rather than all of the embodiments. The components of the embodiments of the present invention generally described and shown in the drawings here can be arranged and designed in various different configurations. Therefore, the following detailed description of the embodiments of the present invention provided in the drawings is not intended to limit the scope of the claimed invention, but merely represents selected embodiments of the present invention. Based on the embodiments in the present invention, all other embodiments obtained by ordinary technicians in this field without making creative work are within the scope of protection of the present invention.

[0037] It should be noted that similar reference numerals and letters represent similar items in the following drawings, so once an item is defined in one drawing, it does not need to be further defined and explained in the subsequent drawings. At the same time, in the description of the present invention, the terms "first", "second", etc. are only used to distinguish the description and cannot be understood as indicating or implying relative importance.

[0038] Embodiment 1:

[0039] This embodiment provides a calculation method for solving the analytical solution of sliding surface creep based on the point safety factor method.

[0040] See also Figure 1 , the figure shows that the method includes:

[0041] S1. Obtain the landslide to be solved, divide the landslide into several strips horizontally, and number the landslide bodies in descending order from the top to the bottom of the slope: [1, 2, ..., i, ..., n], where i represents the number of the i-th strip, and the total number of strips is n, such as Figure 2 shown.

[0042] Specifically, this embodiment makes the following assumptions about the landslide to be solved:

[0043] 1) Consider the slope stability problem as a plane strain problem;

[0044] 2) The strip acts on the sliding surface with a tangential downward force parallel to the sliding surface and a normal force perpendicular to the sliding surface;

[0045] 3) The sliding body is regarded as an ideal rigid body. During the entire force analysis process, the sliding body will not produce any deformation;

[0046] 4) The failure of the sliding surface soil obeys the Mohr-Coulomb strength criterion. Once the shear stress on the sliding surface reaches the shear strength of the sliding surface material, the sliding body will begin to produce shear deformation along the sliding surface.

[0047] 5) The support force P of the i+1th block on the ith block i The action direction is parallel to the sliding surface corresponding to the i-th block;

[0048] 6) The forces acting on the strips satisfy the static equilibrium condition, but do not satisfy the moment equilibrium condition.

[0049] Since the failure of sliding surface soil obeys the Mohr-Coulomb strength criterion, we have:

[0050]

[0051] In the formula, F s represents the safety factor, c represents the sliding surface cohesion, l represents the sliding surface length, N represents the normal force, and T represents the final sliding force. represents the internal friction angle.

[0052] The calculation methods of N and T are as follows:

[0053]

[0054] In the formula, E i represents the sliding force parallel to the sliding surface (kN / m), P i Indicates the support force of the i+1th block on the ith block.

[0055] Based on the above embodiments, the method further includes:

[0056] S2. Perform force analysis on each strip, and use the point safety factor method of slope stability to calculate the final sliding force of each strip parallel to the sliding surface and the normal force perpendicular to the sliding surface;

[0057] Specifically, step S2 includes:

[0058] S21. The first strip is numbered 1, the sliding surface inclination angle of the first strip is α1, and the internal friction angle is The length of the sliding surface is l1; the force analysis is performed on the first strip, and a first mechanical equilibrium model is established. The forces on the first strip include: the vertical downward self-weight G1, the normal force N1 perpendicular to the sliding surface, the first support force P1 provided by the strip 2, and the sliding surface cohesion c1l1;

[0059] S22. Determine the safety factor F of the first block s1 Is it greater than a preset value? Preferably, the preset value is 1:

[0060] If yes, obtain the self-weight G1 of the first block, substitute the self-weight G1 of the first block into the first mechanical equilibrium model, and calculate the final sliding force T1 and normal force N1 of the first block according to formula (1) and formula (2);

[0061]

[0062] Otherwise, the self-weight of the first block and the first supporting force acting on the first block are obtained, and the self-weight and the first supporting force of the first block are substituted into the first mechanical equilibrium model to calculate the final sliding force and normal force of the first block.

[0063] Specifically, the first supporting force is:

[0064]

[0065] The final sliding force and normal force of the first block are obtained as follows:

[0066]

[0067] Specifically, the step S2 further includes:

[0068] S23. Performing a force analysis on the second block to establish a second mechanical equilibrium model;

[0069] See also Figure 3 , the number of the second strip is i, and the sliding surface inclination angle of the second strip is α i The internal friction angle is The length of the sliding surface is l i ; Perform force analysis on the second block and establish a second mechanical equilibrium model. The forces on the second block include: vertical downward self-gravity G i , normal force perpendicular to the sliding surface N i , the first support force P provided by block i to block i+1 i-1 , the third support force P on bar i i , Slip surface cohesion c i l i ;

[0070] S24. Determine whether the safety factor of the second block is greater than a preset value:

[0071] If so, obtain the self-weight of the second bar and the second support force provided by the second bar to the bar above it, substitute the self-weight and the second support force of the second bar into the second mechanical equilibrium model, and calculate the final sliding force T of the second bar according to formula (1) and formula (2): i and the normal force N i ;

[0072]

[0073] In the formula, α i-1 represents the sliding surface inclination of the i-1th block.

[0074] Otherwise, obtain the self-weight of the first bar, the second supporting force provided by the second bar to the bar above it, and the third supporting force received by the second bar;

[0075] Specifically, the third supporting force is:

[0076]

[0077] In the formula, ψ i-1 Represents the calculation parameter, and its expression is:

[0078]

[0079] Substitute the self-weight, second support force and third support force of the second block into the second mechanical equilibrium model to calculate the final sliding force and normal force of the second block:

[0080]

[0081] Specifically, step S2 includes:

[0082] S25. Performing a force analysis on the third block to establish a third mechanical equilibrium model;

[0083] The number of the third strip is n, and the sliding surface inclination angle of the third strip is α n The internal friction angle is The length of the sliding surface is l n ; Perform force analysis on the third block and establish a third mechanical equilibrium model. The forces on the third block include: vertical downward self-gravity G n , normal force perpendicular to the sliding surface N n , the fourth support force P provided by block n to block n-1 n-1 , Slip surface cohesion c n l n ;

[0084] S26. Obtain the self-weight of the third bar and the fourth support force provided by the third bar to the bar n-1, substitute the self-weight and the fourth support force of the third bar into the third mechanical equilibrium model, and calculate the final sliding force T of the third bar n and the normal force N n :

[0085]

[0086] In the formula, α n-1 Represents the sliding surface inclination of the n-1th block.

[0087] Based on the above embodiments, the method further includes:

[0088] S3. Obtaining the sliding surface attribute information of each bar, and decomposing the final sliding force and normal force of the bar based on the sliding surface attribute information to obtain the initial sliding surface stress of each bar. In this embodiment, since the calculation method of the initial sliding surface stress of each bar is the same, the second bar is taken as an example for description;

[0089] Specifically, step S3 includes:

[0090] S31. Get the sliding surface length of the strip, specifically, get the sliding surface length l of the second strip i ;

[0091] S32. Calculate the shear stress of the strip according to the length of the sliding surface and the final sliding force of the strip.

[0092]

[0093] S33. Calculate the normal stress of the strip according to the length of the sliding surface and the normal pressure of the strip

[0094] S34. Obtain the sliding surface inclination angle α of the strip i The initial horizontal stress of the corresponding sliding surface is calculated from the sliding surface inclination angle, the shear stress and the normal stress of the strip. and the initial vertical stress

[0095]

[0096] Based on the above embodiments, the method further includes:

[0097] S4. construct a creep constitutive model, substitute the initial stress of the sliding surface into the creep constitutive model, and obtain the creep analytical solution of the strip at any time;

[0098] Specifically, step S4 includes:

[0099] S41. Construct horizontal creep constitutive model;

[0100] S42. Calculate the horizontal strain at the initial instant by taking the initial horizontal stress as the constant horizontal stress Where, E2 is the Maxwell elastic modulus;

[0101] S43. Substituting the horizontal strain at the initial instant into the horizontal creep constitutive model to obtain the horizontal creep solution of the strip at any time;

[0102]

[0103] In the formula, ε trepresents the horizontal creep solution at time t, E1 is the Kelvin elastic modulus, η1 and η2 are the Kelvin viscosity and Maxwell viscosity respectively, and t represents any time.

[0104] S44. Construct vertical creep constitutive model;

[0105] S45. Take the initial vertical stress as the constant vertical stress to calculate the vertical strain at the initial instant

[0106] S46. Substitute the vertical strain at the initial instant into the vertical creep constitutive model to obtain the vertical creep solution of the strip at any time.

[0107]

[0108] In the formula, ρ t represents the horizontal creep solution at time t.

[0109] Based on the above embodiments, the method further includes:

[0110] S5. Based on the creep analytical solution of the strip at multiple times, the creep curve of the sliding surface of the strip varying with time is obtained.

[0111] Embodiment 2:

[0112] like Figure 4 As shown, the sliding surface is a broken line type, the weight of the sliding body is 21.266KN / m3, the cohesion of the sliding surface is 70kPa, and the internal friction angle is 26°;

[0113] S1. Divide the landslide into 50 strips transversely;

[0114] S2. Perform force analysis on each strip, and use the point safety factor method of slope stability to calculate the final sliding force of each strip parallel to the sliding surface and the normal pressure perpendicular to the sliding surface;

[0115] S3. Obtaining the sliding surface property information of each strip, and decomposing the final sliding force and normal pressure of the strip respectively based on the sliding surface property information to obtain the initial sliding surface stress of each strip;

[0116] Specifically, step S3 includes:

[0117] S31. Get the sliding surface length of the bar;

[0118] S32. The shear stress of the strip is calculated based on the length of the sliding surface and the final sliding force of the strip;

[0119] S33. Calculate the normal stress of the strip according to the length of the sliding surface and the normal pressure of the strip;

[0120] See also Figure 5 , the figure shows the shear stress and normal stress of 50 bars;

[0121] S34. Obtain the sliding surface inclination of the strip, and calculate the initial horizontal stress and initial vertical stress of the corresponding sliding surface from the sliding surface inclination and the shear stress and normal stress of the strip;

[0122] In this embodiment, the values ​​of creep parameters (E1, η1, E2, η2) of the sliding surface rock mass are shown in Table 1;

[0123] Table 1

[0124] <![CDATA[E1 / kPa]]> <![CDATA[η1 / (kPa·h)]]> <![CDATA[E2(kPa)]]> <![CDATA[η2(kPa·h) <!-- 6 -->]]> <![CDATA[4.12×10 7 ]]> <![CDATA[2.54×10 8 ]]> <![CDATA[2×10 8 ]]> <![CDATA[1.3×10 10 ]]>

[0125] According to the data in Table 1, the initial horizontal stress and initial vertical stress of 50 strips were calculated, as shown in Figure 6 As shown;

[0126] S4. construct a creep constitutive model, substitute the initial stress of the sliding surface into the creep constitutive model, and obtain the creep analytical solution of the strip at any time;

[0127] In this embodiment, taking strip A and strip B as examples, the initial stress of the sliding surface of strip A and strip B is respectively substituted into the creep constitutive model to obtain the creep analytical solution of strip A and strip B at any time.

[0128] S5. Based on the creep analytical solution of the strip at multiple times, the creep curve of the strip's sliding surface changing with time is obtained. Please refer to Figure 7 , Figure 8 The figure shows the creep of strips A and B within 100 years. The horizontal creep of the sliding surface of strip A is about 0.074m and the vertical creep is 0.095m in 100 years; the horizontal creep of the sliding surface of strip B is 0.078m and the vertical creep is 0.118m in 100 years. The 100-year creep curves of the two points calculated are compared with the creep curves calculated in FLAC 3d. According to the comparison results, it can be seen that the results calculated by this method are highly similar to the results calculated by FLAC 3d.

[0129] Embodiment 3:

[0130] like Fig. 9 As shown, this embodiment provides a computing system for solving the analytical solution of sliding surface creep based on the point safety factor method, and the system includes:

[0131] Division module: obtain the landslide to be solved, and divide the landslide into a number of strips and blocks horizontally;

[0132] Force analysis module: Perform force analysis on each strip, and use the point safety factor method of slope stability to calculate the final sliding force of each strip parallel to the sliding surface and the normal force perpendicular to the sliding surface;

[0133] Decomposition module: obtaining the sliding surface attribute information of each bar, and decomposing the final sliding force and normal force of the bar based on the sliding surface attribute information to obtain the initial sliding surface stress of each bar;

[0134] Model building module: building a creep constitutive model, substituting the initial stress of the sliding surface into the creep constitutive model, and obtaining the creep analytical solution of the strip at any time;

[0135] Analytical module: Based on the creep analytical solution of the strip at multiple times, the creep curve of the sliding surface of the strip changing with time is obtained.

[0136] Based on the above embodiments, the force analysis module includes:

[0137] The first analysis unit: performs a force analysis on the first block to establish a first mechanical equilibrium model;

[0138] The first judgment unit: judges whether the safety factor of the first block is greater than a preset value:

[0139] If yes, the self-weight of the first strip is obtained, and the self-weight of the first strip is substituted into the first mechanical equilibrium model to calculate the final sliding force and normal force of the first strip;

[0140] Otherwise, the self-weight of the first block and the first supporting force acting on the first block are obtained, and the self-weight and the first supporting force of the first block are substituted into the first mechanical equilibrium model to calculate the final sliding force and normal force of the first block.

[0141] Based on the above embodiments, the force analysis module includes:

[0142] The second analysis unit: performs a force analysis on the second block to establish a second mechanical equilibrium model;

[0143] The second judgment unit: judges whether the safety factor of the second block is greater than a preset value:

[0144] If yes, obtain the self-weight of the second bar and the second support force provided by the second bar to the bar above it, substitute the self-weight and the second support force of the second bar into the second mechanical equilibrium model, and calculate the final sliding force and normal force of the second bar;

[0145] Otherwise, obtain the self-weight of the first bar, the second supporting force provided by the second bar to the bar above it, and the third supporting force received by the second bar;

[0146] The self-weight, the second supporting force and the third supporting force of the second block are substituted into the second mechanical equilibrium model to calculate the final sliding force and normal force of the second block.

[0147] Based on the above embodiments, the force analysis module includes:

[0148] The third analysis unit: performs stress analysis on the third block to establish the third mechanical equilibrium model;

[0149] The first calculation unit is used to obtain the self-weight of the third bar and the fourth supporting force provided by the third bar to the bar above it, and substitute the self-weight and the fourth supporting force of the third bar into the third mechanical equilibrium model to calculate the final sliding force and normal force of the third bar.

[0150] Based on the above embodiment, the decomposition module includes:

[0151] The first acquisition unit: acquires the sliding surface length of the bar;

[0152] The second calculation unit: calculates the shear stress of the strip according to the length of the sliding surface and the final sliding force of the strip;

[0153] The third calculation unit: calculates the normal stress of the strip according to the length of the sliding surface and the normal force of the strip;

[0154] The fourth calculation unit: obtains the sliding surface inclination angle of the strip, and calculates the initial horizontal stress and initial vertical stress of the corresponding sliding surface from the sliding surface inclination angle and the shear stress and normal stress of the strip.

[0155] Based on the above embodiment, the model building module includes:

[0156] The first construction unit: construct the horizontal creep constitutive model;

[0157] The fifth calculation unit: taking the initial horizontal stress as the constant horizontal stress to calculate the horizontal strain at the initial instant;

[0158] First substitution unit: Substitute the horizontal strain at the initial instant into the horizontal creep constitutive model to obtain the horizontal creep solution of the strip at any time;

[0159] The second construction unit: constructing the vertical creep constitutive model;

[0160] The sixth calculation unit: using the initial vertical stress as a constant vertical stress to calculate the vertical strain at the initial instant;

[0161] Second substitution unit: Substitute the vertical strain at the initial instant into the vertical creep constitutive model to obtain the vertical creep solution of the strip at any time.

[0162] It should be noted that, regarding the system in the above embodiment, the specific manner in which each module performs operations has been described in detail in the embodiment of the method, and will not be elaborated here.

[0163] Embodiment 4:

[0164] Corresponding to the above method embodiment, this embodiment also provides a computing device for solving the analytical solution of sliding surface creep based on the point safety factor method. The computing device for solving the analytical solution of sliding surface creep based on the point safety factor method described below and the computing method for solving the analytical solution of sliding surface creep based on the point safety factor method described above can be referenced to each other.

[0165] Fig.10 8 is a block diagram of a computing device 800 for solving a sliding surface creep analytical solution based on a point safety factor method according to an exemplary embodiment. Fig.10 As shown, the computing device 800 for solving the analytical solution of sliding surface creep based on the point safety factor method may include: a processor 801, a memory 802. The computing device 800 for solving the analytical solution of sliding surface creep based on the point safety factor method may also include one or more of a multimedia component 803, an I / O interface 804, and a communication component 805.

[0166] The processor 801 is used to control the overall operation of the computing device 800 for solving the analytical solution of sliding surface creep based on the point safety factor method, so as to complete all or part of the steps in the above-mentioned computing method for solving the analytical solution of sliding surface creep based on the point safety factor method. The memory 802 is used to store various types of data to support the operation of the computing device 800 for solving the analytical solution of sliding surface creep based on the point safety factor method, and these data may include, for example, instructions for any application or method operated on the computing device 800 for solving the analytical solution of sliding surface creep based on the point safety factor method, and application-related data, such as contact data, sent and received messages, pictures, audio, video, etc. The memory 802 can be implemented by any type of volatile or non-volatile storage device or a combination thereof, such as static random access memory (SRAM), electrically erasable programmable read-only memory (EEPROM), erasable programmable read-only memory (EPROM), programmable read-only memory (PROM), read-only memory (ROM), magnetic memory, flash memory, disk or optical disk. The multimedia component 803 may include a screen and an audio component. The screen may be, for example, a touch screen, and the audio component is used to output and / or input audio signals. For example, the audio component may include a microphone, which is used to receive external audio signals. The received audio signal may be further stored in the memory 802 or sent via the communication component 805. The audio component also includes at least one speaker for outputting audio signals. The I / O interface 804 provides an interface between the processor 801 and other interface modules, and the above-mentioned other interface modules can be keyboards, mice, buttons, etc. These buttons can be virtual buttons or physical buttons. The communication component 805 is used for wired or wireless communication between the computing device 800 for solving the sliding surface creep analytical solution based on the point safety factor method and other devices. Wireless communication, such as Wi-Fi, Bluetooth, Near Field Communication (NFC), 2G, 3G or 4G, or a combination of one or more of them, so the corresponding communication component 805 can include: Wi-Fi module, Bluetooth module, NFC module.

[0167] In an exemplary embodiment, the computing device 800 for solving the analytical solution of sliding surface creep based on the point safety factor method can be implemented by one or more application specific integrated circuits (Application Specific Integrated Circuit, referred to as ASIC), digital signal processors (Digital Signal Processor, referred to as DSP), digital signal processing devices (Digital Signal Processing Device, referred to as DSPD), programmable logic devices (Programmable Logic Device, referred to as PLD), field programmable gate arrays (Field Programmable Gate Array, referred to as FPGA), controllers, microcontrollers, microprocessors or other electronic components, and is used to execute the above-mentioned calculation method for solving the analytical solution of sliding surface creep based on the point safety factor method.

[0168] In another exemplary embodiment, a computer-readable storage medium including program instructions is also provided, and when the program instructions are executed by a processor, the steps of the calculation method for solving the analytical solution of sliding surface creep based on the point safety factor method are implemented. For example, the computer-readable storage medium can be the memory 802 including the program instructions, and the program instructions can be executed by the processor 801 of the computing device 800 for solving the analytical solution of sliding surface creep based on the point safety factor method to complete the calculation method for solving the analytical solution of sliding surface creep based on the point safety factor method.

[0169] Embodiment 5:

[0170] Corresponding to the above method embodiment, a readable storage medium is also provided in this embodiment. The readable storage medium described below and the calculation method for solving the analytical solution of sliding surface creep based on the point safety factor method described above can refer to each other.

[0171] A readable storage medium stores a computer program, which, when executed by a processor, implements the steps of the calculation method for solving the analytical solution of sliding surface creep based on the point safety factor method of the above method embodiment.

[0172] The readable storage medium may specifically be a U disk, a mobile hard disk, a read-only memory (ROM), a random access memory (RAM), a magnetic disk or an optical disk, or other readable storage medium that can store program codes.

[0173] The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. For those skilled in the art, the present invention may have various modifications and variations. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included in the protection scope of the present invention.

[0174] The above is only a specific embodiment of the present invention, but the protection scope of the present invention is not limited thereto. Any person skilled in the art can easily think of changes or substitutions within the technical scope disclosed by the present invention, which should be included in the protection scope of the present invention. Therefore, the protection scope of the present invention should be based on the protection scope of the claims.

Claims

1. A calculation method for solving the analytical solution of sliding surface creep based on the point safety factor method, characterized in that: include: Obtaining a landslide to be solved, and dividing the landslide into a plurality of strips and blocks laterally; The force analysis is carried out on each strip, and the final sliding force of each strip parallel to the sliding surface and the normal force perpendicular to the sliding surface are calculated in turn using the point safety factor method of slope stability. Obtaining the sliding surface property information of each bar, decomposing the final sliding force and normal force of the bar based on the sliding surface property information, and obtaining the initial stress of the sliding surface of each bar, including: Get the sliding surface length of the bar; The shear stress of the strip is calculated based on the length of the sliding surface and the final sliding force of the strip; The normal stress of the strip is calculated based on the length of the sliding surface and the normal force of the strip; Obtain the sliding surface inclination of the strip, and calculate the initial horizontal stress and initial vertical stress of the corresponding sliding surface from the sliding surface inclination and the shear stress and normal stress of the strip; A creep constitutive model is constructed, and the initial stress of the sliding surface is substituted into the creep constitutive model to obtain the creep analytical solution of the strip at any time, including: Construct horizontal creep constitutive model; The horizontal strain at the initial instant is calculated by taking the initial horizontal stress as the constant horizontal stress; Substituting the horizontal strain at the initial instant into the horizontal creep constitutive model, the horizontal creep solution of the strip at any time is obtained; Construct vertical creep constitutive model; The vertical strain at the initial instant is calculated by taking the initial vertical stress as the constant vertical stress; Substituting the vertical strain at the initial instant into the vertical creep constitutive model, the vertical creep solution of the strip at any time is obtained; According to the creep analytical solution of the strip at multiple times, the creep curve of the strip's sliding surface changing with time is obtained.

2. The calculation method for solving the analytical solution of sliding surface creep based on the point safety factor method according to claim 1 is characterized in that , the force analysis of the first block is carried out, and the final sliding force of the first block parallel to the sliding surface and the normal force perpendicular to the sliding surface are calculated using the point safety factor method of slope stability. The first block is located at the top of the slope, including: Performing stress analysis on the first block to establish a first mechanical equilibrium model; Determine whether the safety factor of the first block is greater than the preset value: If yes, the self-weight of the first strip is obtained, and the self-weight of the first strip is substituted into the first mechanical equilibrium model to calculate the final sliding force and normal force of the first strip; Otherwise, the self-weight of the first block and the first supporting force acting on the first block are obtained, and the self-weight and the first supporting force of the first block are substituted into the first mechanical equilibrium model to calculate the final sliding force and normal force of the first block.

3. The calculation method for solving the analytical solution of sliding surface creep based on the point safety factor method according to claim 1 is characterized in that , The force analysis of the second block of the landslide is carried out, and the final sliding force of the second block parallel to the sliding surface and the normal force perpendicular to the sliding surface are calculated using the point safety factor method of slope stability. The second block is located in the middle of the landslide, including: Conducting stress analysis on the second block to establish a second mechanical equilibrium model; Determine whether the safety factor of the second block is greater than the preset value: If yes, obtain the self-weight of the second bar and the second support force provided by the second bar to the bar above it, substitute the self-weight and the second support force of the second bar into the second mechanical equilibrium model, and calculate the final sliding force and normal force of the second bar; Otherwise, obtain the self-weight of the first bar, the second supporting force provided by the second bar to the bar above it, and the third supporting force received by the second bar; The self-weight, the second supporting force and the third supporting force of the second block are substituted into the second mechanical equilibrium model to calculate the final sliding force and normal force of the second block.

4. A computing system for solving the analytical solution of sliding surface creep based on the point safety factor method, characterized in that: include: Division module: obtain the landslide to be solved, and divide the landslide into a number of strips and blocks horizontally; Force analysis module: Perform force analysis on each strip, and use the point safety factor method of slope stability to calculate the final sliding force of each strip parallel to the sliding surface and the normal force perpendicular to the sliding surface; Decomposition module: obtains the sliding surface attribute information of each bar, and decomposes the final sliding force and normal force of the bar based on the sliding surface attribute information to obtain the initial stress of the sliding surface of each bar, including: The first acquisition unit: acquires the sliding surface length of the bar; The second calculation unit: calculates the shear stress of the strip according to the length of the sliding surface and the final sliding force of the strip; The third calculation unit: calculates the normal stress of the strip according to the length of the sliding surface and the normal force of the strip; The fourth calculation unit: obtains the sliding surface inclination angle of the strip, and calculates the initial horizontal stress and initial vertical stress of the corresponding sliding surface from the sliding surface inclination angle and the shear stress and normal stress of the strip; Model building module: construct a creep constitutive model, substitute the initial stress of the sliding surface into the creep constitutive model, and obtain the creep analytical solution of the strip at any time, including: The first construction unit: construct the horizontal creep constitutive model; The fifth calculation unit: taking the initial horizontal stress as the constant horizontal stress to calculate the horizontal strain at the initial instant; First substitution unit: Substitute the horizontal strain at the initial instant into the horizontal creep constitutive model to obtain the horizontal creep solution of the strip at any time; The second construction unit: constructing the vertical creep constitutive model; The sixth calculation unit: using the initial vertical stress as a constant vertical stress to calculate the vertical strain at the initial instant; Second substitution unit: Substitute the vertical strain at the initial instant into the vertical creep constitutive model to obtain the vertical creep solution of the strip at any time; Analytical module: Based on the creep analytical solution of the strip at multiple times, the creep curve of the sliding surface of the strip changing with time is obtained.

5. The computing system for solving the analytical solution of sliding surface creep based on the point safety factor method according to claim 4, characterized in that: The force analysis module comprises: The first analysis unit: performs a force analysis on the first block to establish a first mechanical equilibrium model; The first judgment unit: judges whether the safety factor of the first block is greater than a preset value: If yes, the self-weight of the first strip is obtained, and the self-weight of the first strip is substituted into the first mechanical equilibrium model to calculate the final sliding force and normal force of the first strip; Otherwise, the self-weight of the first block and the first supporting force acting on the first block are obtained, and the self-weight and the first supporting force of the first block are substituted into the first mechanical equilibrium model to calculate the final sliding force and normal force of the first block.

6. The computing system for solving the analytical solution of sliding surface creep based on the point safety factor method according to claim 4, characterized in that: The force analysis module comprises: The second analysis unit: performs a force analysis on the second block to establish a second mechanical equilibrium model; Second judgment unit: judge whether the safety factor of the second block is greater than a preset value: If yes, obtain the self-weight of the second bar and the second support force provided by the second bar to the bar above it, substitute the self-weight and the second support force of the second bar into the second mechanical equilibrium model, and calculate the final sliding force and normal force of the second bar; Otherwise, obtain the self-weight of the first bar, the second supporting force provided by the second bar to the bar above it, and the third supporting force received by the second bar; The self-weight, the second supporting force and the third supporting force of the second block are substituted into the second mechanical equilibrium model to calculate the final sliding force and normal force of the second block.