CN111859259B - Prediction method and device for ultimate internal pressure bearing capacity of intact pipeline - Google Patents
Prediction method and device for ultimate internal pressure bearing capacity of intact pipeline Download PDFInfo
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Abstract
The invention provides a method and a device for predicting the ultimate internal pressure bearing capacity of a perfect pipeline, wherein the method for predicting the ultimate internal pressure bearing capacity of the perfect pipeline at least comprises the following steps: step 1: measuring the initial wall thickness of the pipeline, the initial diameter of the pipeline, the hardening index of the pipeline material and the engineering ultimate tensile strength of the pipeline material; step 2: and calculating the value of the ultimate internal pressure bearing capacity of the intact pipeline through the Luo Dejiao influence coefficient and the corresponding equation thereof. Therefore, the method for calculating the ultimate internal pressure bearing capacity of the intact steel pipeline is more accurate, the accuracy of calculating the ultimate internal pressure bearing capacity of the intact steel pipeline is effectively improved, and the operability is high.
Description
Technical Field
The invention belongs to the technical field of pipeline construction, and particularly relates to a prediction method and a prediction device for the ultimate internal pressure bearing capacity of a long-distance thin-wall buried intact pipeline.
Background
In pipeline design and daily operation, the burst pressure generally reflects the ultimate load carrying capacity of the pipeline, so accurate calculation of the pipeline burst pressure is critical. A great deal of theoretical, numerical and experimental studies have been carried out with respect to the calculation of the burst pressure of an intact pipeline subjected to internal pressure. However, in the actual production process, the pressure pipeline is subjected to unsafe accidents caused by explosion. In fact, the current pipeline internal pressure calculation method has a plurality of defects, and one of the important problems is that: the stress-strain relationship in the traditional intact pipeline bursting pressure calculation formula is taken from a uniaxial tensile stress state, but the actual stress state of the pipeline is not the uniaxial tensile stress state, but is a generalized shear state with medium stress triaxial degree. This problem results in a large deviation in the generalized shear regime using the Tresca yield criterion and the Mises yield criterion.
Disclosure of Invention
The technical problem to be solved by the invention is to correct the deviation according to the defects of the prior art, provide a more accurate calculation method for the limit internal pressure of the intact steel pipeline, effectively improve the accuracy of calculating the limit internal pressure bearing capacity of the intact pipeline, and have strong operability.
In order to solve the technical problems, the invention adopts the following technical scheme: the method for predicting the ultimate internal pressure bearing capacity of the intact pipeline at least comprises the following steps:
step 1: measuring initial wall thickness t of pipe 0 Initial diameter D of pipe 0 Hardening exponent n of a pipe material and engineering ultimate tensile strength sigma of a pipe material uts ；
Step 2: calculating the value P of the ultimate internal pressure bearing capacity of the intact pipeline by the following equation pre :
Where L (θ) is a Luo Dejiao influence coefficient, and θ is a Rond angle.
As an alternative embodiment of the present invention, wherein L (θ) =0.904.
As an alternative embodiment of the invention, whereinσ uts Is engineering ultimate tensile strength sigma of pipeline material y Is the yield stress of the pipe material.
In order to solve the technical problems, the invention further provides a method for predicting the ultimate internal pressure bearing capacity of an intact pipeline, which at least comprises the following steps:
step 1: according to the balance condition of the internal pressure of the pipeline, the first main stress sigma 1 Second principal stress sigma 2 Expressed as:
(1)Middle sigma θ Is the hoop stress, sigma l The axial stress is that P is instantaneous internal pressure, D is instantaneous pipe diameter, and t is instantaneous wall thickness;
the third principal stress sigma 3 That is, radial stress sigma r The simplification is as follows:
σ 3 ＝σ r ≈0 (2)
step 2: first principal strain epsilon of pipeline 1 (i.e., circumferential strain ε) θ ) And a third principal strain ε 3 (i.e., radial strain ε) r ) Expressed as:
d in (3) 0 For the measured initial pipe diameter of the pipe, t 0 For measuring initial wall thickness of the pipeline, axial strain epsilon for buried pipeline l (i.e., second principal strain ε) 2 ) Negligible, so that:
ε 2 ＝ε l ＝0 (4)
step 4: according to the principle of incompressibility of plastic deformation, there are:
ε 1 +ε 2 +ε 3 ＝0 (5)
thus, by the formula (3) and the formula (4):
the power strengthening function is selected to represent the real stress strain:
in (7)σ s And ε is true stress and strain, σ, of uniaxial stretching, respectively uts Is the measured ultimate tensile strength of the engineering,σ y is the measured yield stress;
step 5: the yield condition at multiaxial stress states was characterized by a yield function of Luo Dejiao, which is of the formula:
f＝σ M -σ s (ε M )L(θ) (8)
in the formula (11), f is a yield function, sigma M For Mises equivalent stress, L (theta) is a Luo Dejiao influence coefficient, gamma is a normalized angle parameter, and the stress state is characterized by being distributed on a bias plane, wherein the function of a higher term of gamma is to ensure that the yield surface is micro; j (J) 3 Is the third invariant of the deflection stress tensor, theta is the Rode angle, m,And->Is a material constant;
step 6: the strain metric corresponding to the Mises equivalent stress in the multiaxial stress state is Mises equivalent strain expressed as:
assuming that the multiaxial stress-strain relationship obeys the true stress-strain power equation, it is necessary to substitute multiaxial equivalent stress strain into the true stress-strain power equation in the following steps according to equations (1), (2) and (8) to (8)Formula (11), using sigma for multiaxial stress 1 Representing and establishing a true stress sigma s Is obtained by the relation:
meanwhile, in order to express the internal pressure as one variable, the multiaxial strain ε is expressed according to the formulas (4) to (6) and (12) M And epsilon 1 Is obtained by the relation:
from formula (1), formula (6), formulas (13) to (14), it is possible to obtain:
step 7: according to the plastic instability conditionProper (I/O)>At the time, the value P of the ultimate internal pressure bearing capacity (burst pressure) of the intact pipeline pre ：
As an alternative embodiment of the present invention, where θ=0.174 pi.
As an alternative embodiment of the present invention, further comprising step 8: according to the actual internal pressure damage experimental data of the intact pipeline, the Luo Dejiao influence coefficient L (theta) =0.904 is obtained by arrangement analysis
In order to solve the technical problem, the invention further provides a device for predicting the ultimate internal pressure bearing capacity of an intact pipeline, wherein the device comprises: the data acquisition module is used for acquiring the initial wall thickness of the pipeline, the initial diameter of the pipeline, the hardening index of the pipeline material and the engineering ultimate tensile strength of the pipeline material; the data processing module is used for processing data of the initial wall thickness of the pipeline, the initial diameter of the pipeline, the hardening index of the pipeline material and the engineering ultimate tensile strength of the pipeline material, and calculating the ultimate internal pressure value bearing capacity of the intact pipeline by the method of any one of the above.
To solve the above technical problem, the present invention further provides a computer readable storage medium storing a computer program, wherein the readable storage medium stores the method of any one of the above.
To solve the above technical problem, the present invention further provides a computer device, including a memory, a processor, and a computer program stored on the memory and capable of running on the processor, wherein the processor processes and executes the steps of the computer program to implement the method as any one of the above.
Therefore, the invention can realize the calculation of the ultimate internal pressure bearing capacity of the long-distance thin-wall buried intact pipeline, and carry out the verification and check of the internal pressure load of the pipeline.
Drawings
FIG. 1 is a schematic diagram of the internal pressure of a pipeline according to the present invention;
FIG. 2 is a block diagram of a predictive device according to the present invention;
FIG. 3 is a block diagram of a computer device according to the present invention;
FIG. 4 is a flowchart illustrating the operation of an embodiment of the present invention.
The figure indicates: 10: a computer device; 11: a processor; 12: a memory; 13: a computer program; 20: a prediction device; 21: a data acquisition module; 22: a data processing module; s1, S2: and (3) step (c).
Detailed Description
The present invention will be further described with reference to the accompanying drawings and specific examples, which are not intended to limit the invention, so that those skilled in the art may better understand the invention and practice it.
According to the balance condition of the internal pressure of the pipeline, as shown in fig. 1, the internal pressure of the pipeline is schematically shown. First principal stress sigma 1 (hoop stress, sigma) θ ) Second principal stress sigma 2 (axial stress, σ) l ) Can be written as:
wherein P is instantaneous internal pressure, D is instantaneous pipe diameter, and t is instantaneous wall thickness.
For simplicity, the third principal stress, i.e. radial stress, is simplified as follows:
σ 3 ＝σ r ≈0 (2)
first principal strain epsilon of thin-walled intact pipeline 1 (hoop Strain, ε) θ ) And a third principal strain ε 3 (radial Strain ε) r )
D in 0 For the initial pipe diameter measured, t 0 For the measured initial wall thickness. For buried pipelines, axial strain ε l (second principal Strain ε) 2 ) Can be ignored, i.e
ε 2 ＝ε l ＝0 (4)
According to the principle of incompressibility of plastic deformation, there are
ε 1 +ε 2 +ε 3 ＝0 (5)
Thus, by the formula (3) and the formula (4)
The power strengthening function is selected to represent the real stress strain:
in the middle ofσ s And ε are uniaxial tensile true stress strain, σ, respectively uts Is the engineering ultimate strength, sigma y Is the measured yield stress.
The yield condition in the multiaxial stress regime is characterized by a rader angle dependent yield function having the form:
f＝σ M -σ s (σ M )L(θ) (8)
wherein f is a yield function, sigma M For Mises equivalent stress, J 3 As the third invariant of the partial stress tensor, L (theta) is Luo Dejiao influence coefficient, gamma is normalized angle parameter, and the stress state is characterized to be distributed on a partial plane, wherein the function of a higher term of gamma is to ensure that the yield surface is micro; θ is the angle of the rad, m,and->Is a material constant.
The strain measurement corresponding to Mises equivalent stress in multiaxial stress state is Mises equivalent strain, which can be expressed as follows
The present invention assumes that the multiaxial stress-strain relationship obeys the true stress-strain power equation, and that multiaxial equivalent stress strain needs to be substituted into the true stress-strain power equation in the following steps. According to the formulas (1), (2) and (8) to (11), the multiaxial stress is sigma 1 Representing and establishing a true stress sigma s Can be obtained by the relation of (a)
Meanwhile, in order to express the internal pressure as one variable, the multiaxial strain ε is expressed according to the formulas (4) to (6) and (12) M And epsilon 1 Can be obtained by the relation of (a)
From formulae (1), (6), (13) to (14)
According to the plastic instability conditionProper (I/O)>At the time, the ultimate internal pressure bearing capacity (bursting pressure) P of the intact pipeline pre ：
From equation (16), the burst pressure P pre And the strengthening index n, the geometric parameters of the pipeline and the material strength sigma uts ToAnd Luo Dejiao to the influence coefficient L (θ). L (θ) is a parameter related to the rode angle θ.
The invention calculates the specific numerical value of Luo Dejiao by the array experimental data, and θ=0.174 pi, so γ is about 0, and L (θ) only depends on parametersThe invention selects 10 experimental samples for calibrating the parameter +.>Wherein 3 cases of low-strength steel, 3 cases of medium-strength steel, 4 cases of high-strength steel, and back calculation parameter +.>The result is 0.904, see Table 1, D in Table 0 T is the initial pipe diameter 0 YTS and UTS are respectively yield stress for the initial wall thickness (i.e., σ in the formula y ) And engineering ultimate strength (i.e.: sigma in formula (VI) uts )，P burst Is the actual measured burst pressure limit. In order to verify the effectiveness of the invention, 22 laboratory data were additionally selected for verification, the average Error was 3.77%, the standard deviation was 2.03%, see table 2, where D is the instantaneous pipe diameter, t is the instantaneous wall thickness, θ is the rode angle, and Error is the absolute value of the Error. Table 1 and Table 2 are in parentheses for the corresponding parameters.
Therefore, as shown in fig. 4, the present invention provides a method for predicting the ultimate internal pressure bearing capacity of an intact pipeline, which at least comprises the following steps:
step 1: measuring initial wall thickness t of pipe 0 Initial diameter D of pipe 0 Hardening exponent n of a pipe material and engineering ultimate tensile strength sigma of a pipe material uts ；
Step 2: calculating the value P of the ultimate internal pressure bearing capacity of the intact pipeline by the following equation pre :
Where L (θ) is a Luo Dejiao influence coefficient, and θ is a Rond angle.
Meanwhile, as shown in fig. 2, the present invention can provide a device for predicting an ultimate internal pressure bearing capacity of an intact pipeline, wherein the device comprises: the data acquisition module is used for acquiring the initial wall thickness of the pipeline, the initial diameter of the pipeline, the hardening index of the pipeline material and the engineering ultimate tensile strength of the pipeline material; the data processing module is used for processing the initial wall thickness of the pipeline, the initial diameter of the pipeline, the hardening index of the pipeline material and the engineering ultimate tensile strength of the pipeline material, and calculating the ultimate internal pressure value bearing capacity of the intact pipeline by the method.
The present invention also provides a computer-readable storage medium storing a computer program, wherein the readable storage medium stores the method of any one of the above.
As also shown in fig. 3, the present invention may also provide a computer device comprising a memory, a processor and a computer program stored on the memory and capable of running on the processor, wherein the processor processes execution of the computer program to implement the steps of the method as described in any one of the above.
Table 1:10 cases of calibration experiment samples
Table 2:22 cases of verification test samples
According to the invention, through a plastic large deformation theory, the large deformation behavior of the pipeline is considered, a simplified rule of the thin-wall structure under the action of internal pressure is adopted, a power strengthening rule is selected, whether the pipeline material yields or not is judged by considering the influence of the Rode angle on yield, and an internal pressure explosion analysis solution is deduced according to the mechanical balance condition of the pipeline. The method assumes that the influence of Luo Dejiao on yield is stable and consistent, and finally the influence coefficient is calibrated Luo Dejiao according to experimental data. Therefore, the method for calculating the ultimate internal pressure bearing capacity of the intact steel pipeline is more accurate, the accuracy of calculating the ultimate internal pressure bearing capacity of the intact steel pipeline is effectively improved, and the operability is high. Therefore, the calculation of the ultimate internal pressure bearing capacity of the long-distance thin-wall buried intact pipeline is realized, and the verification and the check of the internal pressure load of the pipeline are carried out.
The above-described embodiments are merely preferred embodiments for fully explaining the present invention, and the scope of the present invention is not limited thereto. Equivalent substitutions and modifications will occur to those skilled in the art based on the present invention, and are intended to be within the scope of the present invention. The protection scope of the invention is subject to the claims.
Claims (8)
1. The method for predicting the ultimate internal pressure bearing capacity of the intact pipeline is characterized by at least comprising the following steps:
step 1: according to the balance condition of the internal pressure of the pipeline, the first main stress sigma 1 Second principal stress sigma 2 The method comprises the following steps of:
sigma in formula (1) θ Is the hoop stress, sigma l The axial stress is that P is instantaneous internal pressure, D is instantaneous pipe diameter, and t is instantaneous wall thickness;
the third principal stress sigma 3 That is, radial stress sigma r The simplification is as follows:
σ 3 ＝σ r ≈0 (2)
step 2: first principal strain epsilon of pipeline 1 And a third principal strain ε 3 The method comprises the following steps of:
epsilon in formula (3) θ For circumferential strain, ε r For radial strain, D 0 For the measured initial pipe diameter of the pipe, t 0 For measuring initial wall thickness of the pipeline, axial strain epsilon for buried pipeline l I.e. second principal strain epsilon 2 Negligible, so that:
ε 2 ＝ε l ＝0 (4)
step 4: according to the principle of incompressibility of plastic deformation, there are:
ε 1 +ε 2 +ε 3 ＝0 (5)
thus, by the formula (3) and the formula (4):
the power strengthening function is selected to represent the real stress strain:
in (7)σ s And ε is true stress and strain, σ, of uniaxial stretching, respectively uts Is the engineering ultimate tensile strength, sigma y Is the measured yield stress;
step 5: the yield condition at multiaxial stress states was characterized by a yield function of Luo Dejiao, which is of the formula:
f＝σ M -σ s (ε M )L(θ) (8)
in the formula (11), f is a yield function, sigma M For Mises equivalent stress, L (theta) is a Luo Dejiao influence coefficient, gamma is a normalized angle parameter, and the stress state is characterized by being distributed on a bias plane, wherein the function of a higher term of gamma is to ensure that the yield surface is micro; j (J) 3 Is the third invariant of the deflection stress tensor, theta is the Rode angle, m,And->Is a material constant;
step 6: the strain metric corresponding to the Mises equivalent stress in the multiaxial stress state is Mises equivalent strain expressed as:
assuming that the multiaxial stress-strain relationship obeys the true stress-strain power equation, the multiaxial equivalent stress strain is substituted into the true stress-strain power equation in the following steps, the multiaxial stress is represented by σ according to the equations (1), (2) and (8) to (11) 1 Representing and establishing a true stress sigma s Is obtained by the relation:
meanwhile, in order to express the internal pressure as one variable, the multiaxial strain ε is expressed according to the formulas (4) to (6) and (12) M And epsilon 1 Is obtained by the relation:
from the formula (1), the formula (6), the formula (13) to the formula (14), it is possible to obtain:
step 7: according to the plastic instability conditionProper (I/O)>At the time, the value P of the ultimate internal pressure bearing capacity of the intact pipeline pre The method comprises the following steps:
2. the method for predicting the internal pressure limit bearing capacity of a perfect tube as set forth in claim 1, wherein L (θ) =0.904.
3. The method for predicting the ultimate internal pressure bearing capacity of a perfect pipeline according to claim 1, wherein,wherein sigma uts Is engineering ultimate tensile strength sigma of pipeline material y Is the yield stress of the pipe material.
4. The method for predicting the ultimate internal pressure capacity of a perfect pipeline as recited in claim 1, wherein θ = 0.174 pi.
5. The method for predicting the ultimate internal pressure bearing capacity of a sound pipeline as recited in claim 1, further comprising step 8:
according to the actual intact pipeline internal pressure damage experimental data, the Luo Dejiao influence coefficient L (theta) =0.904 is obtained through sorting analysis.
6. A device for predicting the ultimate internal pressure bearing capacity of an intact pipeline, the device comprising: the data acquisition module is used for acquiring the initial wall thickness of the pipeline, the initial diameter of the pipeline, the hardening index of the pipeline material and the engineering ultimate tensile strength of the pipeline material; a data processing module for calculating the ultimate internal pressure value bearing capacity of an intact pipeline by the method according to any one of claims 1 to 5 by processing data of the initial wall thickness of the pipeline, the initial diameter of the pipeline, the hardening index of the pipeline material and the engineering ultimate tensile strength of the pipeline material.
7. A computer readable storage medium storing a computer program, characterized in that the readable storage medium stores the method according to any one of claims 1 to 5.
8. A computer device comprising a memory, a processor and a computer program stored on the memory and capable of running on the processor, characterized in that the processor processes execution of the computer program to implement the steps of the method according to any one of claims 1 to 5.
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| JP2000275154A (en) * | 1999-03-25 | 2000-10-06 | Toyota Motor Corp | Method for simulating relationship between stress and distortion |
| CN108562495A (en) * | 2018-03-31 | 2018-09-21 | 大连理工大学 | A kind of computational methods of intact steel pipe limit internal pressure |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| JP2000275154A (en) * | 1999-03-25 | 2000-10-06 | Toyota Motor Corp | Method for simulating relationship between stress and distortion |
| CN108562495A (en) * | 2018-03-31 | 2018-09-21 | 大连理工大学 | A kind of computational methods of intact steel pipe limit internal pressure |
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| MY准则解析X80钢油气输送管道爆破压力;李灿明;赵德文;章顺虎;周平;;东北大学学报(自然科学版)(07);全文 * |
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