CN113361147A - Construction method, system, terminal and medium of heat conduction model of three-dimensional composite material - Google Patents

Construction method, system, terminal and medium of heat conduction model of three-dimensional composite material Download PDF

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CN113361147A
CN113361147A CN202110827061.5A CN202110827061A CN113361147A CN 113361147 A CN113361147 A CN 113361147A CN 202110827061 A CN202110827061 A CN 202110827061A CN 113361147 A CN113361147 A CN 113361147A
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CN113361147B (en
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魏朝阳
郭子豪
李凡珠
施德安
雷巍巍
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Hubei University
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Abstract

The invention belongs to the technical field of analysis and calculation of heat conduction performance of a composite material with a spherical particle filled matrix, and discloses a method, a system, a terminal and a medium for constructing a heat conduction model of a three-dimensional composite material, wherein the method for constructing the heat conduction model of the three-dimensional composite material comprises the following steps: calculating a RVE model of a substrate with a specific side length, a specific volume fraction and the number of spherical filler particles with a specific particle size, and creating a model; assembling each component and randomly distributing the assembly bodies; combining and cutting the assembly body to construct an integral material model; respectively establishing a steady-state heat transfer analysis step, applying a temperature boundary condition and dividing grids; and calculating the overall thermal conductivity of the composite material. The ABAQUS software is used in the whole process of calculating the heat conductivity coefficient of the composite material, and the final result can be calculated without other software tools, so that the method is simple and efficient. The composite material heat conductivity coefficient calculated by the method is high in coincidence with an actual result, and prediction guidance can be performed on a processing result.

Description

Construction method, system, terminal and medium of heat conduction model of three-dimensional composite material
Technical Field
The invention belongs to the technical field of analysis and calculation of heat conduction performance of a composite material with a spherical particle filled matrix, and particularly relates to a method, a system, a terminal and a medium for constructing a heat conduction model of a three-dimensional composite material.
Background
At present, high polymer materials are widely applied to the main fields of national economy such as buildings, transportation, agriculture, electrical and electronic industries and the like and daily life of people, generally, the heat conductivity coefficient of the high polymer materials is low, the heat generated inside the materials is larger than the heat generated at the same time, the temperature is continuously increased, the decomposition and carbonization of the materials are further caused, and the original performance of the materials is finally lost. The researchers propose that inorganic filler particles with high thermal conductivity and good insulativity are introduced into a polymer matrix, so that the thermal property of the composite material can be effectively improved.
The research on the thermal conductivity of the composite material, whether experimental research or simulation prediction, is analyzed from a macroscopic or semi-macroscopic perspective. Using finite element modeling techniques, composite materials can be modeled and calculated based on the heat transfer equations followed by the materials. Through a graphical interface, the detailed disassembly observation can be carried out on the evolution process of the internal heat transfer of the material from the aspect of microstructure, and the heat conduction mechanism of the filler in the composite material is quantitatively analyzed from the aspect of microstructure, so that the understanding of the experimental phenomenon is well facilitated. However, for the composite material, the appearance is complex, and manual model building is difficult to realize, so that a reasonable and practical script method is created to build the model, which can help researchers to improve the working efficiency, and then the method for solving the heat conductivity coefficient according to the built model is researched, which has important significance for the heat conduction design of the spherical particle reinforced matrix composite material.
Through the above analysis, the problems and defects of the prior art are as follows:
(1) the experimental method is used for researching that the time period of the thermal conductivity changing along with the shape is longer and the cost is higher.
(2) In the ABAQUS/CAE modeling process, as the morphology of the composite material is more complex and the number of filling particles is more, the manual establishment of a large number of filling particle parts is difficult to realize.
(3) The random distribution of the filler particle parts cannot be achieved by manual operation in ABAQUS/CAE.
The difficulty in solving the above problems and defects is:
(1) a method was created to simulate the thermal conductivity model of spherical particle filled composites by ABAQUS/CAE software.
(2) A script is created that creates a specific volume fraction number of spherical particle parts and base parts through Python language.
(3) A script was created that assembles all the parts in Python language, with the spherical particle parts randomly distributed in the matrix.
The significance of solving the problems and the defects is as follows:
a way to generate randomly distributed spherical filler particles in ABAQUS/CAE is provided.
Disclosure of Invention
Aiming at the problems in the prior art, the invention provides a method, a system, a terminal and a medium for constructing a heat conduction model of a three-dimensional composite material, and particularly relates to a method and a system for constructing an RVE heat conduction model based on an ABAQUS three-dimensional filling composite material.
The invention is realized in such a way that the construction method of the heat conduction model of the three-dimensional composite material comprises the following steps:
calculating a RVE model of a substrate with a specific side length, a specific volume fraction and the number of spherical filler particles with a specific particle size by utilizing a Python language programming, and establishing a model in ABAQUS;
step two, utilizing Python language programming to realize the assembly of each component and the random distribution of the assembly body;
thirdly, the Assembly body is merged and cut by utilizing an Assembly module and a Material module of a CAE interface of the ABAQUS to construct an integral Material model;
step four, establishing a steady-state heat transfer analysis Step, applying a temperature boundary condition and dividing grids by using a Step module, a Load module and a Mesh module of the ABAQUS;
and fifthly, calculating the overall thermal conductivity of the composite material by using a Visualization module of the ABAQUS.
Further, in the step one, the RVE model of the substrate with a specific side length, the specific volume fraction and the number of spherical filler particles with a specific particle size are calculated by using Python language programming, and a model is created in ABAQUS, which includes:
(1) defining the side length of a matrix RVE model;
(2) defining the volume fraction and the particle size of the round filler particles, and whether the multi-element filler particles are used;
(3) calculating the number of parts of the circular particles to be created through Python programming;
(4) the number of base members and corresponding number of filler particles was created by Python programming.
Further, in the first step, the calculation formula for determining the number of the filling particles with the specific volume fraction and the specific particle size in the RVE with the specific side length by using Python programming is as follows:
Figure BDA0003173978860000031
where N is the number of filler particles, V is the volume of the matrix, VOLm is the volume fraction of filler particles, and Vm is the volume of a single filler particle.
Further, in the second step, the assembling of each component and the random distribution of the assembly body by using Python language programming include:
(1) all parts were assembled into an instance by Python programming;
(2) carrying out random distribution processing on all filling particle examples through Python programming;
(3) the coordinates of the randomly distributed position of each filler particle are stored in an array.
Further, in the third step, the merging and cutting of the Assembly body by using the Assembly module and the Material module of the CAE interface of the ABAQUS to construct the monolithic Material model includes:
(1) all the filler particles are combined into one component and example by the Assembly module of ABAQUS/CAE in order to give material properties as a whole;
(2) cutting the substrate by using the filling particles as a cutting source through an Assembly module of ABAQUS/CAE to prevent the condition that the model has overlapping interference in subsequent calculation;
(3) the Material property is endowed to the filling particle component through a Material module of ABAQUS/CAE;
(4) endowing the base part with Material properties through a Material module of ABAQUS/CAE;
(5) the bulk filler particles and the base part were merged by the Assembly module of ABAQUS/CAE and the boundaries were maintained to achieve tie-in effect.
Further, in Step four, the creation of the steady-state heat transfer analysis Step, the application of the temperature boundary condition and the division of the grid are respectively realized by using a Step module, a Load module and a Mesh module of the ABAQUS, which includes:
(1) establishing a steady state heat transfer analysis Step through a Step module of the ABAQUS/CAE, and setting a history output to comprise HFL heat flux and NT node temperature;
(2) adding temperature boundary conditions to the examples through a Load module of ABAQUS/CAE, respectively giving upper surface temperature and lower surface temperature, and defaulting all around to be adiabatic boundary conditions;
(3) arranging global seeds for the examples through a Mesh module of ABAQUS/CAE, and appropriately reseeding denser seeds at filling particles;
(4) the Mesh types are set by the Mesh module of ABAQUS/CAE as tetrahedral, heat transfer and quadratic integration type units DC3D 10.
Further, in step five, the calculating of the overall thermal conductivity of the composite material by using a Visualization module of ABAQUS comprises:
(1) generating an inp file submitting Job through a Job module storage model of ABAQUS/CAE, and using multi-CPU calculation to accelerate the calculation time;
(2) extracting heat flux of nodes of the upper surface and the lower surface in a specific direction through a Visualization module of ABAQUS/CAE to perform X/Y image drawing;
(3) carrying out average treatment on the heat fluxes of the nodes of the upper surface and the lower surface through operation to obtain the average heat fluxes of the upper surface and the lower surface;
(4) extracting the node temperatures of the upper surface and the lower surface through a Visualization module of ABAQUS/CAE to draw an X/Y image;
(5) calculating the heat conductivity coefficient by operating the X/Y data through an analytical formula, wherein the calculation formula of the heat conductivity coefficient of the material in a specific direction is as follows:
Figure BDA0003173978860000051
wherein λ is a heat conductivity coefficient in a specific direction, q is a heat flux in the specific direction, and the value is an average value of average heat fluxes of the upper and lower surfaces, d is a distance between the upper and lower surfaces in the specific direction, and T isdIs the temperature difference between the upper and lower surfaces in a particular direction.
Another object of the present invention is to provide a system for constructing a thermal conductivity model of a three-dimensional composite material, which applies the method for constructing a thermal conductivity model of a three-dimensional composite material, the system comprising:
the spherical filler particle number calculation module is used for calculating a matrix RVE model with a specific side length, a specific volume fraction and the number of spherical filler particles with a specific particle size by utilizing Python language programming and establishing a model in ABAQUS;
the component assembly module is used for realizing assembly of components and random distribution of an assembly body by utilizing Python language programming;
the Material model building module is used for realizing the merging and cutting of an Assembly body by utilizing an Assembly module and a Material module of a CAE interface of ABAQUS to build an integral Material model;
the steady-state heat transfer analysis Step establishment module is used for establishing a steady-state heat transfer analysis Step by utilizing a Step module of ABAQUS;
the temperature boundary condition application module is used for realizing the application of the temperature boundary condition by utilizing the Load module;
the Mesh division module is used for realizing the division of the Mesh by utilizing the Mesh module;
and the overall thermal conductivity coefficient calculation module is used for calculating the overall thermal conductivity coefficient of the composite material by utilizing the Visualization module of ABAQUS.
It is a further object of the invention to provide a computer device comprising a memory and a processor, the memory storing a computer program which, when executed by the processor, causes the processor to perform the steps of:
calculating a matrix RVE model with a specific side length, a specific volume fraction and the number of spherical filler particles with a specific particle size by utilizing a Python language programming, and establishing a model in ABAQUS; assembling each part and randomly distributing the assembly body by utilizing Python language programming; the Assembly body is merged and cut by utilizing an Assembly module and a Material module of a CAE interface of ABAQUS to construct an integral Material model; establishing a steady-state heat transfer analysis Step, applying a temperature boundary condition and dividing a grid by utilizing a Step module, a Load module and a Mesh module of the ABAQUS; and (3) calculating the overall thermal conductivity of the composite material by utilizing a Visualization module of ABAQUS.
Another object of the present invention is to provide an information data processing terminal, which is used for implementing the system for constructing the heat conduction model of the three-dimensional composite material.
By combining all the technical schemes, the invention has the advantages and positive effects that: according to the construction method of the heat conduction model of the three-dimensional composite material, provided by the invention, the spherical particle reinforced matrix composite material can be automatically established in the pre-processing stage according to the particle size, the volume fraction and the matrix side length input by a user, and the boundary condition, the grid division, the material attribute and the like suitable for simulating heat conduction are provided, so that the research of researchers is facilitated. And (3) a calculation formula for calculating the thermal conductivity of the composite material is provided in the post-treatment stage, and specific operation steps are indicated.
The invention combines a Python programming modeling algorithm with Abaqus post-processing analysis to create a method for calculating the thermal conductivity of the spherical particle filled RVE matrix composite material. The method solves the problem of difficult modeling of the engineering, provides a simple and efficient modeling mode, provides a calculation modeling process of the heat conductivity coefficient of the composite material, and proves the correctness of the model by highly matching the heat conductivity coefficient calculated by the method with the heat conductivity coefficient obtained by experiments. The method can be applied to the heat conduction data simulation of any spherical particle material filled matrix, and provides a quick and efficient research method for the development of the heat conduction research of the composite material mesostructure.
The invention realizes the random distribution of spherical filling particles in the matrix RVE through Python script programming, can establish a model according to the particle size, volume fraction and side length of the matrix of the spherical particles input by an object in an object-oriented mode, can select the spherical particles of different particles to be filled simultaneously, and can generate the model by operating the script by one key. The model applies the ABAQUS heat transfer model and provides a more convenient mode for the simulation research of the thermal conductivity of the filling composite material.
The ABAQUS software is used in the whole process of calculating the heat conductivity coefficient of the composite material, and the final result can be calculated without other software tools, so that the method is simple and efficient. Meanwhile, the heat conductivity coefficient of the composite material calculated by the method is high in coincidence with the experimental result, the simulation result is visual, intuitive and accurate, the reliability is high, local heat flux data which are difficult to obtain in the experiment can be obtained, and prediction guidance can be carried out on the processing result.
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In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings needed to be used in the embodiments of the present invention will be briefly described below, and it is obvious that the drawings described below are only some embodiments of the present invention, and it is obvious for those skilled in the art that other drawings can be obtained according to the drawings without creative efforts.
Fig. 1 is a flowchart of a method for constructing a thermal conduction model of a three-dimensional composite material according to an embodiment of the present invention.
Fig. 2 is a schematic diagram of a method for constructing a thermal conduction model of a three-dimensional composite material according to an embodiment of the present invention.
FIG. 3 is a block diagram of a system for constructing a thermal conduction model of a three-dimensional composite material according to an embodiment of the present invention;
in the figure: 1. a spherical filler particle number calculation module; 2. a component assembly module; 3. a material model building module; 4. a steady-state heat transfer analysis step creation module; 5. a temperature boundary condition applying module; 6. a mesh division module; 7. and an overall thermal conductivity coefficient calculation module.
FIG. 4 is a diagram of the results of the execution of a component build script according to an embodiment of the present invention.
FIG. 5(a) is a diagram illustrating the effect of random distribution of spherical particles according to an embodiment of the present invention.
FIG. 5(b) is a view showing the assembly effect of the ball-type example according to the embodiment of the present invention.
FIG. 6(a) is a diagram of an example merging operation of spherical particles according to an embodiment of the present invention.
FIG. 6(b) is a diagram illustrating the merging effect of the spherical particles according to the embodiment of the present invention.
FIG. 7 is a diagram illustrating an exemplary effect of cutting spherical particles by a substrate according to an embodiment of the present invention.
FIG. 8 is a material property assignment diagram according to an embodiment of the present invention.
FIG. 9(a) is a diagram of steady state analysis step establishment according to an embodiment of the present invention.
Fig. 9(b) is a field output setup diagram according to an embodiment of the present invention.
FIG. 10 is a graph of temperature boundary condition application for an embodiment of the present invention.
Fig. 11 is a diagram of the effect of mesh division according to the embodiment of the present invention.
Fig. 12 is a cloud view of a heat flux profile according to an embodiment of the invention.
Fig. 13 is a transparent cloud in accordance with an embodiment of the present invention.
FIG. 14 is an XY-line plot of the thermal conductivity of the composite material calculated by an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is further described in detail with reference to the following embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
In view of the problems in the prior art, the present invention provides a method and a system for constructing a thermal conductive model of a three-dimensional composite material, which are described in detail below with reference to the accompanying drawings and embodiments.
Example (b): the thermal conductivity of the composite material with the alumina particles filling the epoxy resin matrix was investigated as a function of particle size and volume fraction.
As shown in fig. 1, a method for constructing a thermal conductive model of a three-dimensional composite material according to an embodiment of the present invention includes the following steps:
s101, calculating an RVE model of epoxy resin with a specific side length, a specific volume fraction and the number of alumina filler particles with a specific particle size by utilizing a Python language programming, and creating RVE parts corresponding to the alumina particles and the epoxy resin in ABAQUS;
s102, compiling a script for realizing assembly of each component and random distribution of an assembly body by utilizing a Python language;
s103, utilizing an Assembly module and a Material module of a CAE interface of the ABAQUS to realize the merging and cutting of an Assembly body so as to construct an integral Material model;
s104, establishing a steady-state heat transfer analysis Step, applying a temperature boundary condition and dividing grids by using a Step module, a Load module and a Mesh module of the ABAQUS respectively;
s105, calculating the overall thermal conductivity of the composite material by using a Visualization module of ABAQUS.
A schematic diagram of a method for constructing a heat conduction model of a three-dimensional composite material according to an embodiment of the present invention is shown in fig. 2.
As shown in fig. 3, a system for constructing a thermal conduction model of a three-dimensional composite material according to an embodiment of the present invention includes:
the alumina filler particle number calculation module 1 is used for calculating an RVE model of an epoxy resin matrix with a specific side length, a specific volume fraction and the number of alumina filler particles with a specific particle size by utilizing Python language programming, and creating parts with corresponding number in ABAQUS;
the component assembly module 2 is used for realizing the assembly of components and the random distribution of the alumina assembly body by utilizing Python language programming;
the Material model building module 3 is used for realizing the merging and cutting of an Assembly body by utilizing an Assembly module and a Material module of a CAE interface of ABAQUS so as to build an RVE model of the whole composite Material;
the steady-state heat transfer analysis Step establishment module 4 is used for establishing a steady-state heat transfer analysis Step by utilizing a Step module of ABAQUS;
the temperature boundary condition application module 5 is used for applying the temperature boundary condition by utilizing a Load module;
the Mesh division module 6 is used for realizing the division of the Mesh by utilizing the Mesh module;
and the overall thermal conductivity coefficient calculating module 7 is used for calculating the overall thermal conductivity coefficient of the composite material by utilizing a Visualization module of ABAQUS.
The technical solution of the present invention will be further described with reference to the following examples.
The method for constructing the RVE heat conduction model based on the ABAQUS three-dimensional filling composite material, provided by the embodiment of the invention, combines a Python programming modeling algorithm and Abaqus post-processing analysis together to create a method for calculating the heat conduction coefficient of the RVE epoxy resin matrix composite material filled with the alumina particles. The method solves the problem of difficult modeling of the engineering, provides a simple and efficient modeling mode, provides a calculation modeling process of the thermal conductivity coefficient of the composite material of the alumina filled epoxy resin matrix, and proves the correctness of the model by highly matching the thermal conductivity coefficient calculated by the method with the thermal conductivity coefficient obtained by experiments. The method can be applied to the thermal conductivity data simulation of any spherical particle material filling matrix, and provides a quick and efficient research method for the development of the microscopic structure thermal conductivity research of the composite material.
The embodiment provides a modeling method and a calculating method for the thermal conductivity of an alumina particle reinforced epoxy resin matrix composite material, the method can establish a model of RVE alumina spherical particle random distribution according to the particle size and volume fraction of alumina filler particles and the side length of an epoxy resin matrix in an early processing stage, and can calculate the thermal conductivity of the composite material according to a heat transfer model of an ABAQUS software package in a post-processing stage. The implementation flow is shown in fig. 2.
In order to achieve the above object, the present inventor has adopted the following technical solutions:
the construction method of the RVE heat conduction model based on the ABAQUS three-dimensional alumina spherical particle filled epoxy resin matrix composite material provided by the embodiment of the invention comprises the following steps:
step 1: utilizing a Python language to program and calculate the RVE of the epoxy resin matrix with a specific side length, the specific volume fraction and the number of alumina filler particles with a specific particle size, and creating a corresponding number of parts in ABAQUS;
step 2: assembling each component and randomly distributing the alumina particles in the epoxy resin matrix assembly body by utilizing Python language programming;
and step 3: the Assembly body is merged and cut by utilizing an Assembly module and a Material module of a CAE interface of ABAQUS to construct an integral composite Material model;
and 4, step 4: establishing a steady-state heat transfer analysis Step, applying a temperature boundary condition and dividing a grid for the model by utilizing a Step module, a Load module and a Mesh module of the ABAQUS respectively;
and 5: and (3) calculating the overall thermal conductivity of the composite material by utilizing a Visualization module of ABAQUS.
The specific method of the step one is as follows:
(1) inputting the side length of an RVE model of an epoxy resin matrix;
(2) inputting the volume fraction and the particle size of round alumina filler particles;
(3) calculating the number of parts of the alumina particles to be created through Python programming;
(4) a corresponding number of epoxy base parts and alumina grain parts were created by Python programming.
The second step is specifically carried out as follows:
(1) all parts were assembled into an instance by Python programming;
(2) carrying out random distribution processing on all filling particle examples through Python programming;
(3) the coordinates of the randomly distributed position of each filler particle are stored in an array.
The third step is specifically carried out as follows:
(1) all the alumina particles are combined into one component and example through an Assembly module of ABAQUS/CAE so as to endow material properties integrally;
(2) cutting the substrate by using the filling particles as a cutting source through an Assembly module of ABAQUS/CAE to prevent the condition that the model has overlapping interference in subsequent calculation;
(3) the Material property is endowed to the filling particle component through a Material module of ABAQUS/CAE;
(4) endowing the base part with Material properties through a Material module of ABAQUS/CAE;
(5) the bulk filler particles and the base part were consolidated and the boundaries were maintained by the Assembly module of ABAQUS/CAE to achieve tie connectivity.
The fourth step is specifically carried out as follows:
(1) establishing a steady state heat transfer analysis Step through a Step module of the ABAQUS/CAE, and setting a history output to comprise HFL heat flux and NT node temperature;
(2) adding temperature boundary conditions to the examples through a Load module of ABAQUS/CAE, respectively applying temperature boundaries to the upper surface and the lower surface, and defaulting all around to be adiabatic boundary conditions;
(3) global seeds are arranged on the examples through a Mesh module of the ABAQUS/CAE, and denser seeds can be appropriately reseeded at filling particles to improve the calculation accuracy;
(4) the Mesh type is set by the Mesh module of ABAQUS/CAE as tetrahedral, heat transfer, and quadratic integration type units (DC3D10) to improve computational accuracy and computational accuracy.
The concrete method in the step five is as follows:
(1) generating an inp file submitting Job through a Job module storage model of ABAQUS/CAE, and using multi-CPU calculation to accelerate the calculation time;
(2) extracting heat flux of nodes of the upper surface and the lower surface in a specific direction through a Visualization module of ABAQUS/CAE to perform X/Y image drawing;
(3) carrying out average treatment on the heat fluxes of the nodes of the upper surface and the lower surface through operation to obtain the average heat fluxes of the upper surface and the lower surface;
(4) extracting the node temperature of the nodes on the upper surface and the lower surface through a Visualization module of ABAQUS/CAE to draw an X/Y image;
(5) calculating the heat conductivity coefficient by operating the X/Y data through an analytical formula, wherein the calculation formula of the heat conductivity coefficient of the material in a specific direction is as follows:
Figure BDA0003173978860000121
wherein λ is the thermal conductivity in a specific direction, q is the heat flux in a specific direction, the value is the average of the average heat fluxes of the upper and lower surfaces, d is the distance between the upper and lower surfaces in a specific direction, and T is the thermal conductivity in a specific directiondIs the temperature difference between the upper and lower surfaces in a particular direction.
The invention provides a construction method of an RVE heat conduction model of a three-dimensional alumina filled epoxy resin matrix composite material based on ABAQUS, and the first purpose is to realize random distribution of three-dimensional alumina spherical particles in a filled matrix.
To achieve the first objective of this embodiment, the script is written using python2.7 built into ABAQUS. The interaction language used by the ABAQUS between the solver and the user interface is Python naturally, so that the secondary development of the ABAQUS is carried out by using the Python. The ABAQUS uses Python to write a plurality of modules for operations such as calculation, modeling, GUI and the like, so the modules can be flexibly called by using Python language to meet the required design calculation requirements. So in principle all operations that can be done by ABAQUS/CAE interaction can be implemented using scripts. And due to the rich function resource library provided by Python, the process of modeling complex many times can be parameterized, controllable and sometimes even simpler.
In the first step, Python programming is used to judge the number of alumina filler particles with specific volume fraction and specific particle size to be filled in an epoxy resin matrix with a specific side length, and the calculation formula is as follows:
Figure BDA0003173978860000122
where N is the number of alumina filler particles, V is the volume of the epoxy matrix, VOLm is the volume fraction of alumina filler particles, and Vm is the volume of a single alumina filler particle.
The code for building the components can be obtained from the npy document under the ABAQUS working catalog. The values of the side length, volume fraction and particle size of the input in the code must be floating point numbers to prevent Python from defaulting to the result using floor division when calculating the number of filler particles. The obtained N particle numbers are used for circularly calling N component functions for establishing the particles, because the number of the filling particles is large, the fact that each filling particle is endowed with different variable names needs to be noticed, and the name of each particle is numbered by a variable i1 through character string addition of Python. The Python implementation code is as follows:
Figure BDA0003173978860000131
the corresponding number of particle-filled components and base components can be seen in part modules of ABAQUS/CAE after the components are built up, as shown in FIG. 4.
Second to assemble all the parts into an instance using Python programming for operation, the code for the parts assembly can be obtained from the npy file under the working folder, and the matrix and all the filler particles are assembled using a cycle corresponding to the number of particles, the assembly function code being as follows, where the variable a represents the number of alumina filler particles:
Figure BDA0003173978860000141
examples of assembled alumina filler particles and epoxy matrix can be seen in the Assembly module of ABAQUS/CAE when assembled.
And then randomly distributing each alumina particle example, wherein the realization principle is to endow each particle example with a random central point coordinate, the upper limit and the lower limit of xyz of the coordinate cannot exceed the side length of the matrix minus the particle radius so as to prevent the filling particles from exceeding the range of the RVE matrix, then carrying out interference judgment on the particle coordinate to see whether the particle is intersected and overlapped with other particles, and if the particle is overlapped, endowing random coordinates again. In order to realize the principle, a random number module library import random needs to be introduced into Python, three variables x, y and z are respectively endowed with a random value, the function can realize random assignment in any range, and the parameter in brackets represents the distribution range of the diameter of the matrix minus the radius of the particle and the radius of the particle. And then, carrying out interference judgment, introducing a list containing a tuple to record the coordinates of the particles which are already placed, traversing all the particles which need to be placed, carrying out distance judgment on the particles which need to be placed and the existing coordinates in the list, ensuring that the distance between xyz and each particle is larger than or equal to the particle size of the particle so as to ensure that no overlap exists, and giving the random coordinates to the filling particles when the random x, y and z coordinates meet all conditions, so that the filling particles move to the coordinates and are added into the tuple. The implemented function code is as follows:
Figure BDA0003173978860000151
all the code segments are functions only, and when the code segments are used, function calls need to be carried out, and the call codes are as follows:
basic(bc)
qiu(dc,nume)
amss(nume)
translateqiu(nume)
since the Python code indentation amount is very important, the indentation cannot be changed. The runtime needs to run the py file of the above code in the runtime script in the ABAQUS/CAE interface click file. The assembly with random distribution is shown in fig. 5(b), and fig. 5(a) shows the random distribution morphology of the alumina filler particles.
The invention provides a construction method of an RVE heat conduction model based on an ABAQUS three-dimensional filling composite material, and the second purpose is to endow proper heat transfer calculation conditions for the model.
To achieve the second objective of this embodiment, the individual modules of ABAQUS/CAE are employed to assign the appropriate material properties, analysis steps, boundary conditions and grids to the instances.
The first step requires assembling all instances of spherical particles into an integral instance for ease of subsequent operations, entering the merge/cut tool in the Assembly module toolbar, as shown in fig. 6(a), selecting all spherical particle instances, merging all spherical particles into one part, and completing the merging as shown in fig. 6 (b).
Then click cutting is carried out, and the substrate example is cut by taking the spherical particles as a cutting source to prevent subsequent overlapping interference, as shown in FIG. 7.
The spherical particle component and the base component are then entered into a Material module to be endowed with Material properties, which need to be endowed in a heat transfer analysis, such as density, specific heat and thermal conductivity, as shown in fig. 8.
And then entering an Assembly module to combine the cut matrix examples and the spherical particle examples at a holding boundary, wherein the operation can default the boundary to be Tie connection, and if the ABAQUS calculation is not carried out, the operation can default that the matrix and the filling particles have no contact.
The second Step requires setting up the appropriate analysis steps, entering the Step module, and building up the analysis steps, since a steady state heat transfer process is simulated, and the steady state heat transfer is set up in the analysis steps, as shown in fig. 9(a), and both options HFL and NT are selected in the field output, as shown in fig. 9 (b).
Then, the example is given a boundary condition of heat transfer, the Load module is entered to create a boundary condition, the upper surface and the lower surface are respectively given a temperature in the created analysis step, the surrounding surface is not set to be an adiabatic boundary condition by default, and no heat convection with the environment exists, as shown in fig. 10.
And then entering a Mesh module, selecting and arranging global seeds, and properly dividing a dense grid at the spherical filling particles by using the recommended seed number. The tetrahedral mesh is selected, the mesh type requires the secondary heat transfer mesh to be selected to improve the computational accuracy, and then the mesh can be divided, and the mesh division diagram is shown in fig. 11.
The invention provides a construction method of an RVE heat conduction model based on an ABAQUS three-dimensional filling composite material, and the third purpose is to calculate the heat conduction coefficient of the composite material.
To achieve the third objective of this embodiment, the ABAQUS/CAE post-processing module is used to process the data and calculate the thermal conductivity of the composite material.
The Job is submitted at the Job module, suggesting the use of multiple CPU channels to improve computational efficiency, and then submitted. After the operation calculation is completed, the cloud image can be viewed in the Visualization module, the view cut can be clicked to view the local heat flux information inside the composite material, so that the heat conduction mechanism of the composite material can be known from the heat flow, and the cut heat conduction cloud image is shown in fig. 12. The heat flux or temperature of the overall RVE can also be visually observed by setting the transparency of the substrate, with a transparent cloud as shown in fig. 13.
Then, data processing and heat conductivity coefficient calculation are required, and a calculation formula of the heat conductivity coefficient is as follows:
Figure BDA0003173978860000171
wherein λ is the thermal conductivity in a specific direction, q is the heat flux in a specific direction, the value is the average of the average heat fluxes of the upper and lower surfaces, d is the distance between the upper and lower surfaces in a specific direction, and T is the thermal conductivity in a specific directiondIs the temperature difference between the upper and lower surfaces in a particular direction. Clicking to create XY data, clicking field data, selecting surface nodes, selecting all nodes on the upper surface in a target set according to angles, then drawing XY images, clicking to operate the XY data, calculating the average of heat fluxes of all nodes by using an avg () function carried by ABAQUS, storing the average in the data, and then calculating the average heat flux of the lower surface by using the method. Subsequently saved using operation XY data pairsAnd (5) calculating the data to obtain the heat conductivity coefficient.
The positive effects of the invention are further described below in connection with specific experimental data.
The thermal conductivity of the alumina-filled epoxy resin matrix composite of the example was studied, and the thermal conductivity of the alumina-filled composite with a volume fraction of 10 to 30% and a particle size of 5 to 10um was calculated by the above method, respectively, and the data graph is shown in fig. 14. As can be seen from the data chart of fig. 14, as the volume fraction increases and the particle size increases, the thermal conductivity of the composite material increases, the rule conforms to the experimental rule, and the calculated value is basically consistent with the experimental data, thereby proving the correctness of the model and the method.
In the description of the present invention, "a plurality" means two or more unless otherwise specified; the terms "upper", "lower", "left", "right", "inner", "outer", "front", "rear", "head", "tail", and the like, indicate orientations or positional relationships based on the orientations or positional relationships shown in the drawings, are only for convenience in describing and simplifying the description, and do not indicate or imply that the device or element referred to must have a particular orientation, be constructed in a particular orientation, and be operated, and thus, should not be construed as limiting the invention. Furthermore, the terms "first," "second," "third," and the like are used for descriptive purposes only and are not to be construed as indicating or implying relative importance.
In the above embodiments, the implementation may be wholly or partially realized by software, hardware, firmware, or any combination thereof. When used in whole or in part, can be implemented in a computer program product that includes one or more computer instructions. When loaded or executed on a computer, cause the flow or functions according to embodiments of the invention to occur, in whole or in part. The computer may be a general purpose computer, a special purpose computer, a network of computers, or other programmable device. The computer instructions may be stored in a computer readable storage medium or transmitted from one computer readable storage medium to another, for example, the computer instructions may be transmitted from one website site, computer, server, or data center to another website site, computer, server, or data center via wire (e.g., coaxial cable, fiber optic, Digital Subscriber Line (DSL), or wireless (e.g., infrared, wireless, microwave, etc.)). The computer-readable storage medium can be any available medium that can be accessed by a computer or a data storage device, such as a server, a data center, etc., that includes one or more of the available media. The usable medium may be a magnetic medium (e.g., floppy Disk, hard Disk, magnetic tape), an optical medium (e.g., DVD), or a semiconductor medium (e.g., Solid State Disk (SSD)), among others.
The above description is only for the purpose of illustrating the present invention and the appended claims are not to be construed as limiting the scope of the invention, which is intended to cover all modifications, equivalents and improvements that are within the spirit and scope of the invention as defined by the appended claims.

Claims (10)

1. A method for constructing a heat conduction model of a three-dimensional composite material is characterized by comprising the following steps:
calculating a matrix RVE model with a specific side length, a specific volume fraction and the number of spherical filler particles with a specific particle size by utilizing a Python language programming, and establishing a model in ABAQUS;
assembling each part and randomly distributing the assembly body by utilizing Python language programming;
the Assembly body is merged and cut by utilizing an Assembly module and a Material module of a CAE interface of ABAQUS to construct an integral Material model;
establishing a steady-state heat transfer analysis Step, applying a temperature boundary condition and dividing a grid by utilizing a Step module, a Load module and a Mesh module of the ABAQUS;
and (3) calculating the overall thermal conductivity of the composite material by utilizing a Visualization module of ABAQUS.
2. The method for constructing a thermal conductivity model of a three-dimensional composite material according to claim 1, wherein the Python language programming is used to calculate the RVE model of the substrate with a specific side length, the specific volume fraction and the number of spherical filler particles with a specific particle size, and the model is created in ABAQUS, comprising:
(1) defining the side length of a matrix RVE model;
(2) defining the volume fraction and the particle size of the round filler particles, and whether the multi-element filler particles are used;
(3) calculating the number of parts of the circular particles to be created through Python programming;
(4) the number of base members and corresponding number of filler particles was created by Python programming.
3. The method for constructing a thermal conductivity model of a three-dimensional composite material according to claim 1, wherein the Python programming is used to determine the number of the filler particles with a specific volume fraction and a specific particle size to be filled in the RVE with a specific side length according to the following formula:
Figure FDA0003173978850000011
where N is the number of filler particles, V is the volume of the matrix, VOLm is the volume fraction of filler particles, and Vm is the volume of a single filler particle.
4. The method for constructing a heat-conducting model of three-dimensional composite material according to claim 1, wherein the assembling of each component and the random distribution of the assembly body are realized by using Python language programming, and the method comprises the following steps:
(1) all parts were assembled into an instance by Python programming;
(2) carrying out random distribution processing on all filling particle examples through Python programming;
(3) the coordinates of the randomly distributed position of each filler particle are stored in an array.
5. The method for constructing a thermal conduction model of three-dimensional composite Material as claimed in claim 1, wherein said using Assembly module and Material module of CAE interface of ABAQUS to realize the merged cutting of Assembly body to construct the whole Material model comprises:
(1) all the filler particles are combined into one component and example by the Assembly module of ABAQUS/CAE in order to give material properties as a whole;
(2) cutting the substrate by using the filling particles as a cutting source through an Assembly module of ABAQUS/CAE to prevent the condition that the model has overlapping interference in subsequent calculation;
(3) the Material property is endowed to the filling particle component through a Material module of ABAQUS/CAE;
(4) endowing the base part with Material properties through a Material module of ABAQUS/CAE;
(5) the bulk filler particles and base components are consolidated by the Assembly module of ABAQUS/CAE and the boundaries are maintained to the effect that there is no interface between the components.
6. The method for constructing the heat conduction model of the three-dimensional composite material according to claim 1, wherein the Step module, the Load module and the Mesh module of the ABAQUS are respectively used for establishing the steady-state heat transfer analysis Step, applying the temperature boundary condition and dividing the grid, and the method comprises the following steps:
(1) establishing a steady state heat transfer analysis Step through a Step module of the ABAQUS/CAE, and setting a history output to comprise HFL heat flux and NT node temperature;
(2) adding temperature boundary conditions to the examples through a Load module of ABAQUS/CAE, respectively giving upper surface temperature and lower surface temperature, and defaulting all around to be adiabatic boundary conditions;
(3) arranging global seeds for the examples through a Mesh module of ABAQUS/CAE, and appropriately reseeding denser seeds at filling particles;
(4) the Mesh types are set by the Mesh module of ABAQUS/CAE as tetrahedral, heat transfer and quadratic integration type units DC3D 10.
7. The method of constructing a thermal conductivity model of a three-dimensional composite material according to claim 1, wherein said calculating the overall thermal conductivity of the composite material using a Visualization module of ABAQUS comprises:
(1) generating an inp file submitting Job through a Job module storage model of ABAQUS/CAE, and using multi-CPU calculation to accelerate the calculation time;
(2) extracting heat flux of nodes of the upper surface and the lower surface in a specific direction through a Visualization module of ABAQUS/CAE to perform X/Y image drawing;
(3) carrying out average treatment on the heat fluxes of the nodes of the upper surface and the lower surface through operation to obtain the average heat fluxes of the upper surface and the lower surface;
(4) extracting the node temperatures of the upper surface and the lower surface through a Visualization module of ABAQUS/CAE to draw an X/Y image;
(5) calculating the heat conductivity coefficient by operating the X/Y data through an analytical formula, wherein the calculation formula of the heat conductivity coefficient of the material in a specific direction is as follows:
Figure FDA0003173978850000031
wherein λ is a heat conductivity coefficient in a specific direction, q is a heat flux in the specific direction, and the value is an average value of average heat fluxes of the upper and lower surfaces, d is a distance between the upper and lower surfaces in the specific direction, and T isdIs the temperature difference between the upper and lower surfaces in a particular direction.
8. A system for constructing a thermal conduction model of a three-dimensional composite material, to which the method for constructing a thermal conduction model of a three-dimensional composite material according to any one of claims 1 to 7 is applied, the system comprising:
the spherical filler particle number calculation module is used for calculating a matrix RVE model with a specific side length, a specific volume fraction and the number of spherical filler particles with a specific particle size by utilizing Python language programming and establishing a model in ABAQUS;
the component assembly module is used for realizing assembly of components and random distribution of an assembly body by utilizing Python language programming;
the Material model building module is used for realizing the merging and cutting of an Assembly body by utilizing an Assembly module and a Material module of a CAE interface of ABAQUS to build an integral Material model;
the steady-state heat transfer analysis Step establishment module is used for establishing a steady-state heat transfer analysis Step by utilizing a Step module of ABAQUS;
the temperature boundary condition application module is used for realizing the application of the temperature boundary condition by utilizing the Load module;
the Mesh division module is used for realizing the division of the Mesh by utilizing the Mesh module;
and the overall thermal conductivity coefficient calculation module is used for calculating the overall thermal conductivity coefficient of the composite material by utilizing the Visualization module of ABAQUS.
9. A computer device, characterized in that the computer device comprises a memory and a processor, the memory storing a computer program which, when executed by the processor, causes the processor to carry out the steps of:
calculating a matrix RVE model with a specific side length, a specific volume fraction and the number of spherical filler particles with a specific particle size by utilizing a Python language programming, and establishing a model in ABAQUS; assembling each part and randomly distributing the assembly body by utilizing Python language programming; the Assembly body is merged and cut by utilizing an Assembly module and a Material module of a CAE interface of ABAQUS to construct an integral Material model; establishing a steady-state heat transfer analysis Step, applying a temperature boundary condition and dividing a grid by utilizing a Step module, a Load module and a Mesh module of the ABAQUS; and (3) calculating the overall thermal conductivity of the composite material by utilizing a Visualization module of ABAQUS.
10. An information data processing terminal, characterized in that the information data processing terminal is used for realizing a system for constructing a heat conduction model of a three-dimensional composite material according to claim 8.
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