CN107885933B - Pavement structure fatigue cracking numerical simulation method based on extended finite element - Google Patents
Pavement structure fatigue cracking numerical simulation method based on extended finite element Download PDFInfo
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Abstract
The invention discloses a pavement structure fatigue crack numerical simulation method based on an expanded finite element, which comprises the following steps: determining mechanical parameters, thermal parameters and fatigue life data of the material through experiments; fitting to obtain a fatigue damage model suitable for the corresponding pavement material; the fatigue model is utilized to accumulate the fatigue damage to the unit material; defining fracture nucleation initiation criteria for the damaged material; simulating a temperature field; simulating a fatigue cracking process of the pavement structure. The invention considers the mutual coupling and mutual influence of fatigue and cracking, and adopts a transient temperature field in the simulation, thereby more accurately simulating the influence of temperature on the fatigue and cracking problem of the pavement; the fatigue-cracking overall process simulation of the road material under the condition similar to the actual road surface is realized, the data of the indoor test is more effectively used for predicting the fatigue life of the road, and basis and guidance are provided for the design and maintenance work of the road.
Description
Technical Field
The invention belongs to the technical field of road engineering data processing, relates to a pavement data simulation method, and particularly relates to a pavement structure fatigue cracking numerical simulation method based on an expanded finite element.
Background
The fatigue cracking behavior of asphalt pavements is a complex comprehensive problem, and the fatigue property of asphalt pavements is difficult to obtain by using indoor tests due to the large-scale property of actual pavements. The approximation method of popularizing the indoor test commonly adopted in the current specification and research to the actual road surface has great humanity, and the accurate fatigue cracking life of the road is difficult to obtain. And the pure test method is time-consuming and labor-consuming, especially for large-scale test roads and foot-scale tests.
At present, many researches on the aspects of load mode, constitutive relation, crack development and the like have been made on the numerical simulation of the fatigue life of the road. However, fatigue and cracking of the road surface are not mutually independent processes, and it is difficult to accurately predict the deterioration process of the road surface performance by independently studying the fatigue behavior or cracking behavior of the road surface structure. And the asphalt mixture is used as a temperature sensitive material, and the fatigue life of the asphalt pavement is obviously influenced by the change of the temperature. Therefore, the research on the whole fatigue-cracking process of the asphalt pavement under the continuous temperature change condition is extremely important for accurately predicting the fatigue life of the pavement.
Disclosure of Invention
In order to make up for the defects of an experimental method and the conventional road surface fatigue numerical simulation method, the invention provides a road surface structure fatigue cracking numerical simulation method based on an expanded finite element.
In order to achieve the purpose, the invention provides the following technical scheme:
a pavement structure fatigue cracking numerical simulation method based on an expanded finite element comprises the following steps:
step 1, performing an indoor material test, and determining mechanical parameters and thermal parameters of a road material under a non-damage condition and fatigue life data of the material;
step 2, fitting fatigue life data of the material by using a fatigue damage model according to damage mechanics to obtain a fatigue damage model suitable for the corresponding pavement material;
step 3, the fatigue damage model obtained in the step 2 is programmed into a material subprogram UMAT of the ABAQUS finite element software user, the definition of the mechanical property and the thermal property of the material is realized in the subprogram, the fatigue damage accumulation is realized on the unit material by using the fatigue model, and then the stress strain data of the node is updated and returned to the main program;
step 4, endowing the XFEM property of the expanded finite element crack to the whole pavement structure, and defining the crack nucleation initiation criterion of the damaged material by using a user subprogram UDMGINI provided by ABAQUS;
step 5, simulating typical temperature fields of the road surface in different seasons by using meteorological data of the local road surface in advance;
and 6, repeatedly setting the temperature field, applying proper load to the pavement structure, and utilizing thermal coupling analysis to realize the fatigue-cracking overall process simulation of the pavement structure under the transient temperature field.
Further, the mechanical parameters in the step 1 include an elastic modulus and a poisson ratio, and the relationship between the elastic modulus and the poisson ratio as well as the temperature is fitted; the thermal parameters include thermal conductivity and specific heat; the fatigue life data is used for measuring the fatigue life of the strain mode under different temperature conditions.
Further, the fatigue damage model in the step 2 adopts a nonlinear fatigue damage model represented by the following formula:
in the above formula: d is fatigue damage degree; n is the stress cycle number; a is*P and q are fatigue parameters.
Furthermore, in the step 3, the stress-strain temperature data in the main program of ABAQUS is also accessed to a subroutine UMAT, in which the fatigue model obtained in the step 2 is used to accumulate fatigue damage on the unit material, and then the stress-strain data of the node is updated and returned to the main program.
Further, the step 4 specifically includes the following steps:
subroutine UDMGINI defines the fracture nucleation initiation criteria for damaged materials using the model shown below:
in the above formula: s is the residual strength; s0Is the initial strength of the material; dms，DmRespectively defining a fatigue damage critical value defined by strength and a fatigue damage critical value defined by stiffness; d is the fatigue damage degree of the current material, and omega is a material parameter;
calculating the residual strength S and the maximum principal stress sigma of the node of the material by using the fatigue damage degree of the material accumulated in the step 3 and the stress data transmitted by the main programmax(ii) a Then calculating a damage criterion index value FINDEX and a cracking direction FNORMAL; the damage criterion index value is defined as:
if FINDEX meets the conditions, the XFEM cracking mechanism is activated, and then the material behavior is controlled by the XFEM cracking mechanism.
Further, the step 5 specifically includes the following steps: the meteorological data are used to obtain the average solar radiation, wind speed and average daily air temperature change data of each local season, and then the boundary condition is used to simulate the seasonal temperature field of the pavement structure.
Further, the step 6 specifically includes the following steps: setting appropriate traffic load by utilizing a thermal coupling distribution step and repeatedly setting a seasonal temperature field to simulate the pavement performance development under the condition of continuous change of temperature for many years; in the analysis, the temperature field data is transmitted to a subroutine UMAT, the mechanical response of the pavement structure in a transient temperature field is completed, and then the structure is developed according to the fatigue damage-cracking mechanism defined in the step 3 and the step 4 in the transient temperature field.
Compared with the prior art, the invention has the following advantages and beneficial effects:
the fatigue problem and the cracking problem of the pavement structure are simulated comprehensively, the mutual coupling and mutual influence of fatigue and cracking are considered, and the influence of temperature on the fatigue cracking problem of the pavement is simulated accurately by adopting a transient temperature field in the simulation; the fatigue-cracking overall process simulation of the road material under the condition similar to the actual road surface is realized, the data of the indoor test is more effectively used for predicting the fatigue life of the road, and basis and guidance are provided for the design and maintenance work of the road.
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FIG. 1 is a flow chart of a route structure fatigue cracking numerical simulation method based on an extended finite element provided by the invention.
Detailed Description
The technical solutions provided by the present invention will be described in detail below with reference to specific examples, and it should be understood that the following specific embodiments are only illustrative of the present invention and are not intended to limit the scope of the present invention.
The invention provides a route structure fatigue cracking numerical simulation method based on an expanded finite element, the flow of which is shown in figure 1, and the method comprises the following steps:
(1) and (4) carrying out corresponding indoor material tests, and determining mechanical parameters and thermal parameters of the road material under the condition of no damage. The road material comprises a road surface and a roadbed material, the measured mechanical parameters comprise elastic modulus and Poisson ratio in a wide temperature change range, and the relation between the elastic modulus and the Poisson ratio and the temperature is fitted to consider the influence of a temperature field on the stress of the structure. The elastic modulus and poisson's ratio will then be programmed into the subroutine UMAT for mechanical response under the transient temperature field of the structure. If the correlation data at a temperature that is difficult to measure in a laboratory exists under the actual road surface condition, the actual condition at the temperature should be reasonably compensated for. The measured thermal parameters comprise thermodynamic parameters such as material thermal conductivity and specific heat, and are used for simulating a temperature field of the pavement structure, and the local average temperature is taken during measurement. In the step, a material fatigue life test is also carried out, and a plurality of groups of fatigue tests under different temperature conditions in a stress control mode are suitable.
(2) According to the damage mechanics, the fatigue life data is fitted by using a proper fatigue damage model, and the method adopts the following nonlinear fatigue damage model:
in the above formula: d is fatigue damage degree; n is the stress cycle number; a is*P and q are fatigue parameters, are related to temperature and stress loading level, and are obtained by regression of test data.
The above model is a preferable embodiment, and other fatigue damage models may be used instead of the above model as necessary.
And (3) fitting the parameters in the formula (1) by using the fatigue life test result of the indoor material in the step (1) to obtain a fatigue damage model suitable for the corresponding pavement material.
(3) And (3) programming the fatigue damage model which is obtained in the step (2) and is suitable for the corresponding pavement material into an ABAQUS finite element software user material subprogram UMAT, accessing data such as stress strain temperature and the like in an ABAQUS main program into the subprogram UMAT when repeated load acts, realizing definition of mechanical property and thermal property of the material in the subprogram, realizing accumulation of fatigue damage on the unit material by using the fatigue model obtained in the step (2) in the subprogram, and then updating the stress strain data of the node and returning the stress strain data to the main program.
(4) Based on the residual strength principle, determining the crack nucleation initiation criterion of the damaged material by using the fatigue test data in the step (1), wherein the method adopts the following damaged material residual strength model:
in the above formula: s is the residual strength; s0Is the initial strength of the material; dms，DmD is the fatigue damage critical value defined by strength, the fatigue damage critical value defined by stiffness and the fatigue damage degree of the current material respectively. Omega is a material parameter and is obtained by experimental data regression.
And (3) endowing the XFEM property of the extended finite element crack to the whole pavement structure in a software interaction module, defining the crack nucleation initiation criterion of the damaged material by using a user subprogram UDMGINI provided by ABAQUS, and realizing the crack nucleation initiation criterion which changes along with fatigue development. Utilizing the fatigue damage degree of the material accumulated in the step (3) and main program transmissionThe residual strength S of the material and the maximum principal stress sigma of the node are calculated according to the stress datamax. And then calculating a damage criterion index value FINDEX and a cracking direction FNORMAL. Wherein the impairment criterion index value is defined as:
if FINDEX >1, the XFEM cleavage mechanism is activated. The material behavior is then controlled by the XFEM cracking mechanism.
(5) The meteorological data are used to obtain the average solar radiation, wind speed and average daily air temperature change data of each local season, and then the boundary condition is used to simulate the seasonal temperature field of the pavement structure. This step is parallel to steps (3) and (4), and the order can be adjusted as long as it is completed before step (6).
(6) And (5) setting a proper traffic load by utilizing the thermal coupling distribution step and repeatedly setting the seasonal temperature field in the step (5), and simulating the pavement performance development under the condition of continuous temperature change for many years. In the analysis, the temperature field data is transmitted to a subprogram UMAT, the mechanical response of the pavement structure in the transient temperature field is completed, and then the structure is developed in the transient temperature field according to the fatigue damage-cracking mechanism defined in the steps (3) and (4).
The technical means disclosed in the invention scheme are not limited to the technical means disclosed in the above embodiments, but also include the technical scheme formed by any combination of the above technical features. It should be noted that those skilled in the art can make various improvements and modifications without departing from the principle of the present invention, and such improvements and modifications are also considered to be within the scope of the present invention.
Claims (5)
1. A pavement structure fatigue cracking numerical simulation method based on an expanded finite element is characterized by comprising the following steps:
step 1, performing an indoor material test, and determining mechanical parameters and thermal parameters of a road material under a non-damage condition and fatigue life data of the material; the mechanical parameters comprise elastic modulus and Poisson ratio, and the relationship between the elastic modulus and the Poisson ratio and the temperature is fitted; the elastic modulus and the Poisson ratio are programmed into a subprogram UMAT for mechanical response under a structure transient temperature field; the thermal parameters comprise thermal conductivity and specific heat and are used for simulating a temperature field of the pavement structure; the fatigue life data needs to determine the fatigue life under different temperature conditions of a control strain mode;
step 2, fitting the fatigue damage model by using the fatigue life data of the material according to the damage mechanics to obtain a fatigue damage model suitable for the corresponding pavement material;
step 3, the fatigue damage model obtained in the step 2 is programmed into an ABAQUS finite element software user material subprogram UMAT, when repeated load acts, stress strain temperature data in an ABAQUS main program is accessed into the subprogram UMAT, definition of mechanical properties and thermal properties of the material is realized in the subprogram, fatigue damage accumulation is realized on unit materials by using the fatigue damage model, and then the stress strain data of updated nodes are returned to the main program;
step 4, endowing the XFEM property of the expanded finite element crack to the whole pavement structure, and defining the crack nucleation initiation criterion of the damaged material by using a user subprogram UDMGINI provided by ABAQUS;
step 5, simulating typical temperature fields of the road surface in different seasons by using meteorological data of the local road surface in advance;
and 6, repeatedly setting the temperature field, applying proper load to the pavement structure, and utilizing thermal coupling analysis to realize the whole process simulation of the fatigue-cracking of the pavement structure under the transient temperature field, wherein the whole process simulation specifically comprises the following steps:
setting appropriate traffic load by utilizing a thermal coupling distribution step and repeatedly setting a seasonal temperature field to simulate the pavement performance development under the condition of continuous change of temperature for many years; in the analysis, the temperature field data is transmitted to a subroutine UMAT, the mechanical response of the pavement structure in a transient temperature field is completed, and then the structure is developed according to the fatigue damage-cracking mechanism defined in the step 3 and the step 4 in the transient temperature field.
2. The extended finite element-based pavement structure fatigue crack numerical simulation method of claim 1, wherein the fatigue damage model in the step 2 is a nonlinear fatigue damage model represented by the following formula:
in the above formula: d is fatigue damage degree; n is the stress cycle number; a is*P and q are fatigue parameters.
3. The extended finite element-based pavement structure fatigue crack numerical simulation method of claim 1, wherein in the step 3, the stress-strain temperature data in the main program of ABAQUS is connected to a sub-program UMAT, in the sub-program, the fatigue model obtained in the step 2 is used for realizing the accumulation of fatigue damage to the unit material, and then the stress-strain data of the node is updated and returned to the main program.
4. The extended finite element-based pavement structure fatigue crack numerical simulation method of claim 1, wherein the step 4 specifically comprises the following processes:
subroutine UDMGINI defines the fracture nucleation initiation criteria for damaged materials using the model shown below:
in the above formula: s is the residual strength; s0Is the initial strength of the material; dms，DmRespectively defining a fatigue damage critical value defined by strength and a fatigue damage critical value defined by stiffness; d is the fatigue damage degree of the current material, and omega is a material parameter;
calculating the residual strength S and the maximum principal stress sigma of the node of the material by using the fatigue damage degree of the material accumulated in the step 3 and the stress data transmitted by the main programmax(ii) a In-line with the aboveThen calculating a damage criterion index value FINDEX and a cracking direction FNORMAL; the damage criterion index value is defined as:
if FINDEX meets the conditions, the XFEM cracking mechanism is activated, and then the material behavior is controlled by the XFEM cracking mechanism.
5. The extended finite element-based pavement structure fatigue crack numerical simulation method of claim 1, wherein the step 5 specifically comprises the following processes: the meteorological data are used to obtain the average solar radiation, wind speed and average daily air temperature change data of each local season, and then the boundary condition is used to simulate the seasonal temperature field of the pavement structure.
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| CN108693053A (en) * | 2018-04-24 | 2018-10-23 | 东南大学 | A kind of test method of asphalt residual intensity |
| CN109827855B (en) * | 2018-08-30 | 2022-01-07 | 长沙理工大学 | Method for predicting service life of reinforced concrete bridge under seasonal corrosion and fatigue coupling action |
| CN109241636B (en) * | 2018-09-11 | 2023-03-24 | 合肥工业大学 | Finite element-based road surface structure multi-physical field coupling numerical simulation method |
| CN111488703B (en) * | 2019-01-28 | 2021-08-10 | 西南石油大学 | Method for simulating fracture toughness of layered rock based on expanded finite element |
| CN110457837A (en) * | 2019-08-15 | 2019-11-15 | 南京林业大学 | Various Seasonal asphalt pavement interlayer thermal hinders topographical analysis method |
| CN111693380B (en) * | 2020-07-15 | 2022-12-06 | 合肥工业大学 | Asphalt pavement fatigue damage prediction method based on finite elements |
| CN112765854B (en) * | 2021-01-21 | 2024-01-09 | 东南大学 | Method for predicting number of cracks in pavement |
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Effective date of registration: 20231222 Address after: No. 62 Suyuan Avenue, Jiangning Development Zone, Nanjing City, Jiangsu Province, 211106 (Jiangning Development Zone) Patentee after: Jiangsu Chuangwei Transportation Technology Development Co.,Ltd. Address before: 211189 No. 2, Four Pailou, Xuanwu District, Nanjing City, Jiangsu Province Patentee before: SOUTHEAST University |