A method, system, device and medium for predicting mechanical properties of magnetic composite materials

Abstract

The present disclosure relates to a method, system, device and medium for predicting the mechanical properties of magnetic composite materials, the method comprising the following steps: obtaining multiple basic parameters of the composite magnetic material to be predicted, and using a generalized self-consistent model to calculate the effective bulk modulus and effective shear modulus of equivalent particles of different particle sizes according to the multiple basic parameters of the composite magnetic material; according to the critical magnetic powder content, the thickness, volume fraction and elastic modulus of the interface layer are calculated by the interface layer parameter model; according to the parameters in the above calculation process, the effective elastic modulus of the magnetic composite material is calculated using a multiphase inclusion formula to achieve mechanical property prediction. The present disclosure can quickly obtain the mechanical property prediction of the magnetic composite material, avoiding the complicated and time-consuming material performance testing process, and can improve the mechanical properties of the material by regulating the material microstructure parameters, improving the design efficiency and saving the design cost.

Description

Technical Field

[0001] The present disclosure relates to the technical field of composite material performance detection, and in particular to a method, system, device and medium for predicting the mechanical properties of magnetic composite materials. Background Art

[0002] The mechanical properties of composite magnetic materials are the key to ensuring the structural strength and service performance of magnetic components. Composite magnetic composite materials are highly filled mixed colloids made of magnetic powder particles and epoxy resin, and are compounded with carbon fiber to form carbon fiber magnetic composite materials. They are typical multi-component, inhomogeneous composite materials. The changes in material components determine the electromagnetic and mechanical properties of the material.

[0003] In engineering applications, the performance of magnetic composite materials needs to meet the requirements of specific application objects. The composition of the material (volume content of magnetic powder particles and volume content of resin) changes, and the material performance changes accordingly. Therefore, each change in the material component requires a series of performance tests in accordance with international or domestic standards to characterize the basic properties of the material. In the material performance testing process, it includes multiple links such as material design, preparation, processing and testing. In order to ensure the reliability of the data, multiple batches of measurements must be carried out on the content of the same component. In order to meet the needs of engineering applications, it is essential to adjust the parameters of the composite materials, and it is inevitable to carry out complicated and time-consuming material performance tests. Therefore, a lot of manpower, material resources and time costs are required, which affects the research and development and application efficiency of new materials. Summary of the invention

[0004] The present disclosure provides a method, system, device and medium for predicting the mechanical properties of magnetic composite materials, which can solve the problem that the existing material performance testing process is complicated and time-consuming, affecting the research and development and application efficiency of new materials. In order to solve the above technical problems, the present disclosure provides the following technical solutions:

[0005] As one aspect of an embodiment of the present disclosure, a method for predicting mechanical properties of a magnetic composite material is provided, comprising the following steps:

[0006] S10, obtaining a plurality of basic parameters of the composite magnetic material to be predicted, and calculating the effective bulk modulus and effective shear modulus of equivalent particles of different particle sizes using a generalized self-consistent model according to the plurality of basic parameters of the composite magnetic material; the plurality of basic parameters include at least two of the following parameters: magnetic powder particle size, gradation, ratio of magnetic powder particles of different particle sizes, volume content of magnetic powder particles, and critical magnetic powder content; the composite magnetic material is a multiphase homogeneous composite material composed of magnetic powder particles, a matrix, and an interface layer, and the equivalent particles are composed of spherical magnetic powder particles and an interface layer wrapped outside;

[0007] S20, according to the critical magnetic powder content, the thickness, volume fraction and elastic modulus of the interface layer are calculated by the interface layer parameter model;

[0008] S30. According to the parameters in the above calculation process, the multiphase inclusion formula is used to calculate the effective elastic modulus of the magnetic composite material to achieve mechanical property prediction.

[0009] Optionally, the calculation formula for the effective bulk modulus of equivalent particles of different particle sizes is:

[0010]

[0011]

[0012] in, K hom is the effective bulk modulus of equivalent particles of different particle sizes, K 1. K 2 and K 3 are the bulk moduli of the matrix, interface layer and magnetic powder particles, G 1. G 2. G 3 are the shear moduli of the matrix, interface layer and magnetic powder particles, is the radius of magnetic powder particles, b is the equivalent particle radius.

[0013] Optionally, the calculation formula for the effective shear modulus of equivalent particles of different particle sizes is:

[0014]

[0015]

[0016]

[0017]

[0018]

[0019]

[0020]

[0021] in, G hom The effective shear modulus of equivalent particles of different particle sizes, , and are the Poisson's ratios of the matrix, interface layer and magnetic powder particles, G 1. G 2 and G3 are the shear moduli of the matrix, interface layer and magnetic powder particles, respectively.

[0022] Optionally, the thickness and volume fraction of the interface layer are expressed as:

[0023]

[0024]

[0025] in, f cr is the critical magnetic powder content, f 2. f 3 are the volume fractions of the interface layer and magnetic powder, is the thickness of the interface layer.

[0026] The elastic modulus of the interface layer is expressed as:

[0027]

[0028]

[0029]

[0030]

[0031] in, K 0. are the effective bulk modulus and Poisson’s ratio of the three-phase spherical model, respectively; is the effective bulk modulus of the equivalent particle in the three-phase sphere; f 1 is the volume fraction of the resin, E 2 is the elastic modulus of the interface layer.

[0032] Optionally, the method of using a multiphase inclusion formula to calculate the effective elastic modulus of the magnetic composite material comprises: treating the magnetic composite material as a three-phase spherical model consisting of an inclusion phase, an interface phase and a matrix phase, and calculating r The strain in the equivalent particle is expressed as:

[0033]

[0034] in, For the r The strain in the equivalent particle, I is the unit tensor, S r For the r The Eshelby tensor of equivalent particles, L 0 is the resin matrix stiffness; L r For the r Equivalent particle stiffness, is the resin base strain.

[0035] Optionally, the method of calculating the effective elastic modulus of the magnetic composite material using the multiphase inclusion formula further includes: calculating the effective stiffness tensor of equivalent particles of different particle sizes, expressed as:

[0036]

[0037] in, is the effective stiffness tensor of equivalent particles of different particle sizes, T r is the local strain concentration tensor, A r is the global strain concentration tensor, f r For the r The volume fraction of equivalent particles, N is the total number of equivalent particles contained in the magnetic composite material.

[0038] Optionally, the method of calculating the effective elastic modulus of the magnetic composite material using the multiphase inclusion formula further includes: calculating the effective bulk modulus and shear modulus of the entire magnetic composite material containing equivalent particles of different particle sizes, expressed as:

[0039]

[0040]

[0041]

[0042]

[0043] in, , Respectively r The bulk modulus and shear modulus of equivalent particles, f 0 is the volume fraction of the resin matrix; f 3 is the volume fraction of magnetic powder.

[0044] As another aspect of the embodiments of the present disclosure, a magnetic composite material mechanical property prediction system is provided, comprising:

[0045] A structural parameterization module obtains multiple basic parameters of the composite magnetic material to be predicted, and calculates the effective bulk modulus and effective shear modulus of equivalent particles of different particle sizes using a generalized self-consistent model based on the multiple basic parameters of the composite magnetic material; the multiple basic parameters include at least two of the following parameters: magnetic powder particle size, gradation, ratio of magnetic powder particles of different particle sizes, volume content of magnetic powder particles, and critical magnetic powder content; the composite magnetic material is a multiphase homogeneous composite material composed of magnetic powder particles, a matrix, and an interface layer, and the equivalent particles are composed of spherical magnetic powder particles and an interface layer wrapped outside;

[0046] The interface layer parameter calculation module calculates the thickness, volume fraction and elastic modulus of the interface layer through the interface layer parameter model according to the critical magnetic powder content;

[0047] The material performance calculation module uses the multiphase inclusion formula to calculate the effective elastic modulus of the magnetic composite material according to the parameters in the above calculation process to achieve mechanical performance prediction.

[0048] As another aspect of an embodiment of the present disclosure, an electronic device is provided, comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor implements the above-mentioned method for predicting the mechanical properties of magnetic composite materials when executing the computer program.

[0049] As another aspect of an embodiment of the present disclosure, a computer-readable storage medium is provided, on which a computer program is stored, characterized in that when the program is executed by a processor, the above-mentioned method for predicting the mechanical properties of magnetic composite materials is implemented.

[0050] Compared with the prior art, the beneficial effects of the present disclosure are:

[0051] 1. The present disclosure combines the generalized self-consistent model with the Mori-Tanaka method multiphase inclusion formula to predict the mechanical properties of magnetic composite materials, which not only takes into account the changes in different magnetic powder gradations, but also takes into account the interaction between magnetic powder particles, which can offset the error caused by the increase in the volume fraction of magnetic powder to a certain extent. Comparing the predicted value and the measured value of the effective elastic modulus of the magnetic composite material, the two are highly consistent, indicating that the prediction model can obtain better prediction results.

[0052] 2. The prediction model disclosed in the present invention only needs to input the corresponding material properties and material microstructure parameters in the parameterized prediction model to quickly obtain the prediction of the mechanical properties of the magnetic composite material, avoiding the complicated and time-consuming material performance testing process. It can also improve the material mechanical properties by regulating the material microstructure parameters, update the material structure and performance data in real time, improve the design efficiency, save the design cost, and thus realize the integrated design of material and structure. BRIEF DESCRIPTION OF THE DRAWINGS

[0053] Figure 1 This is a flow chart of a method for predicting mechanical properties of a magnetic composite material in Example 1;

[0054] Figure 2 Schematic diagram of the three-phase model of the magnetic composite material in Example 1;

[0055] Figure 3 This is a schematic diagram of equivalent particles in Example 1;

[0056] Figure 4 This is a schematic diagram of the equivalent three-phase sphere model in Example 1;

[0057] Figure 5 Schematic diagram of the stacking model of magnetic powders with different gradations in Example 1;

[0058] Figure 6 Schematic diagram of a tensile test specimen in Example 1 in which the volume fraction of magnetic powder is 30%;

[0059] Figure 7 Schematic diagram of a tensile test specimen in Example 1 in which the volume fraction of magnetic powder is 50%;

[0060] Figure 8 Schematic diagram of a tensile test specimen in Example 1 in which the volume fraction of magnetic powder is 70%;

[0061] Fig. 9 This is a schematic block diagram of a magnetic composite material mechanical property prediction system in Example 2. DETAILED DESCRIPTION

[0062] Various exemplary embodiments, features and aspects of the present disclosure will be described in detail below with reference to the accompanying drawings. The same reference numerals in the accompanying drawings represent elements with the same or similar functions. Although various aspects of the embodiments are shown in the accompanying drawings, the drawings are not necessarily drawn to scale unless otherwise specified.

[0063] The word “exemplary” is used exclusively herein to mean “serving as an example, example, or illustration.” Any embodiment described herein as “exemplary” is not necessarily to be construed as preferred or advantageous over other embodiments.

[0064] The term "and / or" herein is only a description of the association relationship of the associated objects, indicating that there may be three relationships. For example, A and / or B can represent: A exists alone, A and B exist at the same time, and B exists alone. In addition, the term "at least one" herein represents any combination of at least two of any one or more of a plurality of. For example, including at least one of A, B, and C can represent including any one or more elements selected from the set consisting of A, B, and C.

[0065] In addition, in order to better illustrate the present disclosure, numerous specific details are given in the following specific embodiments. It should be understood by those skilled in the art that the present disclosure can also be implemented without certain specific details. In some examples, methods, means, components and circuits well known to those skilled in the art are not described in detail in order to highlight the subject matter of the present disclosure.

[0066] It can be understood that the above-mentioned various method embodiments mentioned in the present disclosure can be combined with each other to form a combined embodiment without violating the principle logic. Due to space limitations, the present disclosure will not go into details.

[0067] In addition, the present disclosure also provides a method, system, device and medium for predicting the mechanical properties of magnetic composite materials, all of which can be used to implement any method for predicting the mechanical properties of magnetic composite materials provided by the present disclosure. The corresponding technical solutions and descriptions are referred to the corresponding records in the method part and will not be repeated here.

[0068] The execution subject of a magnetic composite material mechanical property prediction method may be a computer or other device capable of realizing magnetic composite material mechanical property prediction, for example, the method may be executed by a terminal device or a server or other processing device, wherein the terminal device may be a user equipment (UE), a mobile device, a user terminal, a terminal, a cellular phone, a cordless phone, a personal digital assistant (PDA), a handheld device, a computing device, a vehicle-mounted device, a wearable device, etc. In some possible implementations, the magnetic composite material mechanical property prediction method may be implemented by a processor calling a computer-readable instruction stored in a memory.

[0069] Example 1

[0070] This embodiment provides a method for predicting the mechanical properties of a magnetic composite material. Figure 1 As shown, the following steps are included:

[0071] S10, obtaining multiple basic parameters of the composite magnetic material to be predicted, and calculating the effective bulk modulus and effective shear modulus of equivalent particles 1 of different particle sizes using a generalized self-consistent model according to the multiple basic parameters of the composite magnetic material; the multiple basic parameters include at least two of the following parameters: magnetic powder particle size, gradation, ratio of magnetic powder particles of different particle sizes, volume content of magnetic powder particles and critical magnetic powder content; the composite magnetic material is a multiphase homogeneous composite material composed of magnetic powder particles, a matrix and an interface layer, and the equivalent particle 1 is composed of spherical magnetic powder particles and an interface layer wrapped outside;

[0072] S20, according to the critical magnetic powder content, the thickness, volume fraction and elastic modulus of the interface layer are calculated by the interface layer parameter model;

[0073] S30. According to the parameters in the above calculation process, the multiphase inclusion formula is used to calculate the effective elastic modulus of the magnetic composite material to achieve mechanical property prediction.

[0074] The following describes in detail each step of the embodiment of the present disclosure.

[0075] S10, obtaining multiple basic parameters of the composite magnetic material to be predicted, and calculating the effective bulk modulus and effective shear modulus of equivalent particles 1 of different particle sizes using a generalized self-consistent model according to the multiple basic parameters of the composite magnetic material; the multiple basic parameters include at least two of the following parameters: magnetic powder particle size, gradation, ratio of magnetic powder particles of different particle sizes, volume content of magnetic powder particles and critical magnetic powder content; the composite magnetic material is a multiphase homogeneous composite material composed of magnetic powder particles, a matrix and an interface layer, and the equivalent particle 1 is composed of spherical magnetic powder particles and an interface layer wrapped outside;

[0076] In this embodiment, the magnetic composite material is regarded as a multiphase homogeneous composite material composed of magnetic powder particles, matrix and interface at a microscopic scale, and the material composition and volume fraction of each phase have a crucial influence on its mechanical properties. The effective elastic modulus of the magnetic composite material is closely related to the volume fraction, particle size and gradation of the magnetic powder. The magnetic powder particles are simplified into spheres, and they are combined with the interface layer wrapped outside to form equivalent particles of different particle sizes 1, such as Figure 2 shown.

[0077] Optionally, the calculation formula for the effective bulk modulus of equivalent particles 1 of different particle sizes is:

[0078]

[0079]

[0080] in, K hom is the effective bulk modulus of equivalent particles 1 with different particle sizes, K 1. K 2 and K 3 are the bulk moduli of the matrix, interface layer and magnetic powder particles, G 1. G 2. G 3 are the shear moduli of the matrix, interface layer and magnetic powder particles, is the radius of magnetic powder particles, b is the equivalent particle radius.

[0081] Optionally, the calculation formula for the effective shear modulus of equivalent particles 1 of different particle sizes is:

[0082]

[0083]

[0084]

[0085]

[0086]

[0087]

[0088]

[0089] in, G hom The effective shear modulus of equivalent particles 1 with different particle sizes, , and are the Poisson's ratios of the matrix, interface layer and magnetic powder particles, G 1. G 2 and G 3 are the shear moduli of the matrix, interface layer and magnetic powder particles, respectively. Two roots can be solved by the above calculation formula of the effective shear modulus of equivalent particles 1 with different particle sizes, and the positive root is taken as the effective shear modulus of equivalent particles 1 with different particle sizes.

[0090] S20, according to the critical magnetic powder content, the thickness, volume fraction and elastic modulus of the interface layer are calculated by the interface layer parameter model;

[0091] In this embodiment, the interface layer parameter model includes: calculating the thickness, volume fraction and elastic modulus of the interface layer. In the magnetic composite material, due to the mutual influence between the surface of the magnetic powder particles and the resin matrix, an interface layer with different structure and properties from the two phases will be formed at the interface of the two phases. Although the area of ​​the interface layer is very small, its properties largely determine and control the properties of the composite material, and therefore cannot be ignored.

[0092] The thickness and volume fraction of the interface layer are determined as follows: Figure 3 As shown in Figure 2, at the critical magnetic powder content, the thickness of the interface layer is δ , the magnetic powder particles are approximately regarded as ideal spherical particles, and their radius is a , then the effective radius of the magnetic powder particles covered by the interface layer is b = a + δ , f cr is the "critical particle content", which is determined by the critical magnetic powder content f cr and effective radius b The relationship is:

[0093]

[0094] The thickness and volume fraction of the interface layer are expressed as:

[0095]

[0096]

[0097] in, f cr is the critical magnetic powder content, f 2. f 3 are the volume fractions of the interface layer and magnetic powder, is the thickness of the interface layer, a is the radius of magnetic powder particles.

[0098]

[0099] in, f 2,cr Indicates the volume fraction of the interface layer at the critical magnetic powder content.

[0100] The elastic modulus of the interface layer is expressed as:

[0101]

[0102]

[0103]

[0104]

[0105] in, K 0. are the effective bulk modulus and Poisson’s ratio of the three-phase spherical model, respectively; is the effective bulk modulus of the equivalent particle in the three-phase sphere; f 1 is the volume fraction of the resin, E 2 is the elastic modulus of the interface layer, a is the radius of magnetic powder particles, b is the equivalent particle radius.

[0106] S30. According to the parameters in the above calculation process, the multiphase inclusion formula is used to calculate the effective elastic modulus of the magnetic composite material to achieve mechanical property prediction.

[0107] In this embodiment, the magnetic composite material is equivalent to a three-phase sphere model consisting of an inclusion phase, an interface phase and a matrix phase. The equivalent three-phase sphere model is as follows: Figure 4 As shown, the interface and magnetic powder particles are regarded as equivalent particles.

[0108] Optionally, the method of using a multiphase inclusion formula to calculate the effective elastic modulus of the magnetic composite material comprises: treating the magnetic composite material as a three-phase spherical model consisting of an inclusion phase, an interface phase and a matrix phase, and calculating r The strain in the equivalent particle is expressed as:

[0109]

[0110] in, For the r The strain in the equivalent particle 1, I is the unit tensor, S r For the r The Eshelby tensor of the equivalent particle 1, L 0 is the resin matrix stiffness; L r For the r Equivalent particle stiffness, is the resin base strain.

[0111] Optionally, the method of calculating the effective elastic modulus of the magnetic composite material using the multiphase inclusion formula further includes: calculating the effective stiffness tensor of equivalent particles 1 with different particle sizes, expressed as:

[0112]

[0113]

[0114]

[0115]

[0116] in, is the effective stiffness tensor of equivalent particle 1 with different particle sizes, T r is the local strain concentration tensor, A r is the global strain concentration tensor, f r For the r The volume fraction of equivalent particle 1, N is the total number of equivalent particles contained in the magnetic composite material.

[0117] Optionally, the method of calculating the effective elastic modulus of the magnetic composite material using the multiphase inclusion formula further includes: calculating the effective bulk modulus and shear modulus of the entire magnetic composite material containing equivalent particles of different particle sizes, expressed as:

[0118]

[0119]

[0120]

[0121]

[0122] in, , Respectively r The bulk modulus and shear modulus of equivalent particle 1, f 0 is the volume fraction of the resin matrix; f 3 is the volume fraction of magnetic powder.

[0123] The effective bulk modulus of the magnetic composite material containing equivalent magnetic powder particles of different particle sizes is derived and shear modulus , and thus the effective elastic modulus of the magnetic composite material is obtained E , the calculation formula is:

[0124]

[0125] in, E , K and G They are the elastic modulus, bulk modulus and shear modulus of the magnetic composite materials respectively.

[0126] The present embodiment provides a method for predicting the mechanical properties of magnetic composite materials. Based on the relevant theories of composite material micromechanics, combined with the generalized self-consistent model and the Mori-Tanaka method multiphase inclusion formula, and taking into account the effect of the interface layer, a magnetic composite material effective elastic modulus prediction model is established, the magnetic composite material performance is calculated, and the mapping relationship between the micro-component parameters and the macroscopic performance of the magnetic composite material is obtained. The results can be applied to the structural design and analysis of composite magnetic composite materials. This method can quickly obtain the prediction of the mechanical properties of the magnetic composite material, avoiding the complicated and time-consuming material performance testing process.

[0127] The magnetic composite material prediction method in this embodiment is further described by specific example 1. For example, a magnetic powder stacking model is established using a sandwich filling model, such as Figure 5 As shown in the figure, considering the influence of magnetic powder grading and different particle size ratios on the porosity and magnetic properties of magnetic powder film, the magnetic powder grading adopts II grading, the particle sizes of magnetic powder particles are 100µm and 50µm, the ratio is 1:1, and the volume fraction of magnetic powder particles is 30%. Elastic modulus of magnetic powder particles E 3 = 137 GPa, Poisson's ratio ν 3=0.26, resin elastic modulus E 1=1GPa, Poisson's ratio ν1=0.38, critical magnetic powder content fcr =0.8, the particle sizes of magnetic powder are 100µm and 50µm respectively, the ratio is 1:1, and the volume fraction of magnetic powder is 30%.

[0128] The magnetic powder particles are simplified into spheres, and they are combined with the interface layer wrapped outside to form equivalent particles 1 of different particle sizes. The generalized self-consistent model is used to calculate the effective bulk modulus and effective shear modulus of equivalent particles 1 of different particle sizes. Based on the interface layer parameter model, the volume fraction of the interface layer is calculated to be 7.5%, and the thicknesses of large and small particles are 3.86µm and 1.93µm, respectively. The elastic modulus of the interface layer is 0.084GPa.

[0129] Furthermore, based on the multiphase inclusion formula of the Mori-Tanaka method, the r The strain in the equivalent particle 1 is calculated; the effective stiffness tensor of the equivalent particle magnetic composite material with different particle sizes is determined; and on this basis, the overall effective bulk modulus of the equivalent particle magnetic composite material with different particle sizes is solved. and shear modulus , and thus the effective elastic modulus of the magnetic composite material is obtained E .

[0130] According to the ASTM D3039-2017 test standard, a magnetic composite material sample with a magnetic powder particle content of 30% was prepared and a tensile test was carried out on a universal tensile testing machine. Figure 6 The mechanical properties are shown in the following table:

[0131]

[0132] Among them, the material parameters of each component in the magnetic composite material are shown in the following table:

[0133]

[0134] The predicted value of the effective elastic modulus of the magnetic composite material with a volume fraction of 30% of magnetic powder is compared with the average value of the three groups of samples as shown in the following table:

[0135]

[0136] It can be seen from the table that the error between the model prediction value and the experimental value is relatively small, at 0.64%, which indicates that the model constructed in this embodiment can better predict the effective elastic modulus of the magnetic composite material.

[0137] The prediction method of the magnetic composite material in this embodiment is further described by specific example 2. For example, the magnetic powder grading adopts II grading, the volume fraction of magnetic powder particles is 50%, the particle sizes of magnetic powder particles are 100 μm and 50 μm respectively, and the particle size ratio is 1:1. Elastic modulus of magnetic powder particles E3 = 137 GPa, Poisson's ratio ν 3=0.26, resin elastic modulus E 1=1GPa, Poisson's ratio ν 1=0.38, critical magnetic powder content f cr =0.8, the particle sizes of magnetic powder particles are 100µm and 50µm respectively, the ratio is 1:1, and the volume fraction of magnetic powder particles is 50%.

[0138] The magnetic powder particles are simplified into spheres, and they are combined with the interface layer wrapped outside to form equivalent particles 1 of different particle sizes. The generalized self-consistent model is used to calculate the effective bulk modulus and effective shear modulus of equivalent particles 1 of different particle sizes. Based on the interface layer parameter model, the volume fraction of the interface layer is calculated to be 12.5%, the thicknesses of large particles and small particles are 3.86µm and 1.93µm respectively, and the elastic modulus of the interface layer is 0.0165GPa.

[0139] Furthermore, based on the multiphase inclusion formula of the Mori-Tanaka method, the r The strain in the equivalent particle 1 is calculated; the effective stiffness tensor of the equivalent particle magnetic composite material with different particle sizes is determined; and on this basis, the overall effective bulk modulus of the equivalent particle magnetic composite material with different particle sizes is solved. and shear modulus , and thus the effective elastic modulus of the magnetic composite material is obtained E .

[0140] According to the ASTM D3039-2017 test standard, a magnetic composite material sample with a magnetic powder particle content of 50% was prepared and a tensile test was carried out on a universal tensile testing machine. Figure 7 The mechanical properties are shown in the following table:

[0141]

[0142] Among them, the material parameters of each component in the magnetic composite material are shown in the following table:

[0143]

[0144] The predicted value of the effective elastic modulus of the magnetic material with a volume fraction of 50% of magnetic powder is compared with the average value of the three groups of samples as shown in the following table:

[0145]

[0146] It can be seen from the table that the error between the model prediction value and the test value is 4.22%, which is within the range of 5%, indicating that the model constructed in this embodiment can better predict the effective elastic modulus of the magnetic material.

[0147] The basic process is consistent with that of Examples 1 and 2. Example 3 is a magnetic composite material sample with a magnetic powder particle content of 50%. A tensile test is performed on a universal tensile testing machine. Figure 8 As shown in the table below, the predicted value of the effective elastic modulus of the magnetic composite material with a volume fraction of 70% magnetic powder is compared with the experimental value:

[0148]

[0149] It can be seen from the table that the error between the model prediction value and the experimental value is 4.47%, which is within the range of 5%, indicating that the model constructed in this embodiment can better predict the effective elastic modulus of the magnetic material.

[0150] Example 2

[0151] As another aspect of the embodiments of the present disclosure, a magnetic composite material mechanical property prediction system 100 is also provided. Fig. 9 As shown, the following steps are included:

[0152] The structural parameterization module 10 obtains a plurality of basic parameters of the composite magnetic material to be predicted, and calculates the effective bulk modulus and effective shear modulus of equivalent particles 1 of different particle sizes using a generalized self-consistent model according to the plurality of basic parameters of the composite magnetic material; the plurality of basic parameters include at least two of the following parameters: magnetic powder particle size, gradation, ratio of magnetic powder particles of different particle sizes, volume content of magnetic powder particles and critical magnetic powder content; the composite magnetic material is a multiphase homogeneous composite material composed of magnetic powder particles, a matrix and an interface layer, and the equivalent particle 1 is composed of spherical magnetic powder particles and an interface layer wrapped outside;

[0153] The interface layer parameter calculation module 20 calculates the thickness, volume fraction and elastic modulus of the interface layer through the interface layer parameter model according to the critical magnetic powder content;

[0154] The material property calculation module 30 calculates the effective elastic modulus of the magnetic composite material using the multi-phase inclusion formula according to the parameters in the above calculation process to achieve mechanical property prediction.

[0155] The following is a detailed description of each module in the embodiment of the present disclosure.

[0156] The structural parameterization module 10 obtains a plurality of basic parameters of the composite magnetic material to be predicted, and calculates the effective bulk modulus and effective shear modulus of equivalent particles 1 of different particle sizes using a generalized self-consistent model according to the plurality of basic parameters of the composite magnetic material; the plurality of basic parameters include at least two of the following parameters: magnetic powder particle size, gradation, ratio of magnetic powder particles of different particle sizes, volume content of magnetic powder particles and critical magnetic powder content; the composite magnetic material is a multiphase homogeneous composite material composed of magnetic powder particles, a matrix and an interface layer, and the equivalent particle 1 is composed of spherical magnetic powder particles and an interface layer wrapped outside;

[0157] In this embodiment, the magnetic composite material is regarded as a multiphase homogeneous composite material composed of magnetic powder particles, matrix and interface at a microscopic scale, and the material composition and volume fraction of each phase have a crucial influence on its mechanical properties. The effective elastic modulus of the magnetic composite material is closely related to the volume fraction, particle size and gradation of the magnetic powder. The magnetic powder particles are simplified into spheres, and they and the interface layer wrapped outside form equivalent particles 1 of different particle sizes.

[0158] Optionally, the calculation formula for the effective bulk modulus of equivalent particles 1 of different particle sizes is:

[0159]

[0160]

[0161] in, K hom is the effective bulk modulus of equivalent particles 1 with different particle sizes, K 1. K 2 and K 3 are the bulk moduli of the matrix, interface layer and magnetic powder particles, G 1. G 2. G 3 are the shear moduli of the matrix, interface layer and magnetic powder particles, is the radius of magnetic powder particles, b is the equivalent particle radius.

[0162] Optionally, the calculation formula for the effective shear modulus of equivalent particles 1 of different particle sizes is:

[0163]

[0164]

[0165]

[0166]

[0167]

[0168]

[0169]

[0170] in, G hom The effective shear modulus of equivalent particles 1 with different particle sizes, , and are the Poisson's ratios of the matrix, interface layer and magnetic powder particles, G 1. G 2 and G 3 are the shear moduli of the matrix, interface layer and magnetic powder particles, respectively. Two roots can be solved by the above calculation formula of the effective shear modulus of equivalent particles 1 with different particle sizes, and the positive root is taken as the effective shear modulus of equivalent particles 1 with different particle sizes.

[0171] The interface layer parameter calculation module 20 calculates the thickness, volume fraction and elastic modulus of the interface layer through the interface layer parameter model according to the critical magnetic powder content;

[0172] In this embodiment, the interface layer parameter model includes: calculating the thickness, volume fraction and elastic modulus of the interface layer. In the magnetic composite material, due to the mutual influence between the surface of the magnetic powder particles and the resin matrix, an interface layer with different structure and properties from the two phases will be formed at the interface of the two phases. Although the area of ​​the interface layer is very small, its properties largely determine and control the properties of the composite material, and therefore cannot be ignored.

[0173] The thickness and volume fraction of the interface layer are determined as follows: at the critical magnetic powder content, the thickness of the interface layer is δ , the magnetic powder particles are approximately regarded as ideal spherical particles, and their radius is a , then the effective radius of the magnetic powder particles covered by the interface layer is b = a + δ , f cr is the "critical particle content", which is determined by the critical magnetic powder content f cr and effective radius b The relationship is:

[0174]

[0175] The thickness and volume fraction of the interface layer are expressed as:

[0176]

[0177]

[0178] in, f cr is the critical magnetic powder content, f 2. f 3 are the volume fractions of the interface layer and magnetic powder, is the thickness of the interface layer, a is the radius of magnetic powder particles.

[0179]

[0180] in, f 2,cr Indicates the volume fraction of the interface layer at the critical magnetic powder content.

[0181] The elastic modulus of the interface layer is expressed as:

[0182]

[0183]

[0184]

[0185]

[0186] in, K 0. are the effective bulk modulus and Poisson’s ratio of the three-phase spherical model, respectively; is the effective bulk modulus of the equivalent particle in the three-phase sphere; f 1 is the volume fraction of the resin, E 2 is the elastic modulus of the interface layer, a is the radius of magnetic powder particles, b is the equivalent particle radius.

[0187] The material property calculation module 30 calculates the effective elastic modulus of the magnetic composite material using the multi-phase inclusion formula according to the parameters in the above calculation process to achieve mechanical property prediction.

[0188] In this embodiment, the magnetic composite material is equivalent to a three-phase sphere model consisting of an inclusion phase, an interface phase and a matrix phase. The equivalent three-phase sphere model is as follows: Figure 4 As shown, the interface and magnetic powder particles are regarded as equivalent particles.

[0189] Optionally, the method of using a multiphase inclusion formula to calculate the effective elastic modulus of the magnetic composite material comprises: treating the magnetic composite material as a three-phase spherical model consisting of an inclusion phase, an interface phase and a matrix phase, and calculating r The strain in the equivalent particle is expressed as:

[0190]

[0191] in, For the r The strain in the equivalent particle 1, I is the unit tensor, S r For the r The Eshelby tensor of the equivalent particle 1, L 0 is the resin matrix stiffness; L r For the r Equivalent particle stiffness, is the resin base strain.

[0192] Optionally, the method of calculating the effective elastic modulus of the magnetic composite material using the multiphase inclusion formula further includes: calculating the effective stiffness tensor of equivalent particles 1 with different particle sizes, expressed as:

[0193]

[0194]

[0195]

[0196]

[0197] in, is the effective stiffness tensor of equivalent particle 1 with different particle sizes, T r is the local strain concentration tensor, A r is the global strain concentration tensor, f r For the r The volume fraction of equivalent particle 1, N is the total number of equivalent particles contained in the magnetic composite material.

[0198] Optionally, the method of calculating the effective elastic modulus of the magnetic composite material using the multiphase inclusion formula further includes: calculating the effective bulk modulus and shear modulus of the entire magnetic composite material containing equivalent particles of different particle sizes, expressed as:

[0199]

[0200]

[0201]

[0202]

[0203] in, , Respectively rThe bulk modulus and shear modulus of equivalent particle 1, f 0 is the volume fraction of the resin matrix; f 3 is the volume fraction of magnetic powder.

[0204] The effective bulk modulus of the magnetic composite material containing equivalent magnetic powder particles of different particle sizes is derived and shear modulus , and thus the effective elastic modulus of the magnetic composite material is obtained E , the calculation formula is:

[0205]

[0206] in, E , K and G They are the elastic modulus, bulk modulus and shear modulus of the magnetic composite materials respectively.

[0207] The present embodiment provides a method for predicting the mechanical properties of magnetic composite materials. Based on the relevant theories of composite material micromechanics, combined with the generalized self-consistent model and the Mori-Tanaka method multiphase inclusion formula, and taking into account the effect of the interface layer, a magnetic composite material effective elastic modulus prediction model is established, the magnetic composite material performance is calculated, and the mapping relationship between the micro-component parameters and the macroscopic performance of the magnetic composite material is obtained. The results can be applied to the structural design and analysis of composite magnetic composite materials. This method can quickly obtain the prediction of the mechanical properties of the magnetic composite material, avoiding the complicated and time-consuming material performance testing process.

[0208] Based on the description of the above embodiments, it can be seen that the embodiments of the present disclosure can achieve the following technical effects:

[0209] (1) The present disclosure combines the generalized self-consistent model with the Mori-Tanaka method multiphase inclusion formula to predict the mechanical properties of magnetic composite materials. It not only takes into account the changes in different magnetic powder gradations, but also takes into account the interaction between magnetic powder particles, which can offset the error caused by the increase in the volume fraction of magnetic powder to a certain extent. Comparing the predicted value and the measured value of the effective elastic modulus of the magnetic composite material, the two are highly consistent, indicating that the prediction model can obtain better prediction results.

[0210] (2) The prediction model disclosed in the present invention can quickly obtain the prediction of the mechanical properties of the magnetic composite material by simply inputting the corresponding material properties and material microstructure parameters in the parameterized prediction model, thus avoiding the complicated and time-consuming material performance testing process. The mechanical properties of the material can be improved by adjusting the material microstructure parameters, and the material structure and performance data can be updated in real time, thereby improving the design efficiency and saving the design cost, thereby realizing the integrated design of material and structure.

[0211] Example 3

[0212] An electronic device comprises a memory, a processor and a computer program stored in the memory and executable on the processor, wherein the method for predicting the mechanical properties of a magnetic composite material in Example 1 is implemented when the processor executes the computer program.

[0213] Embodiment 3 of the present disclosure is merely an example and should not bring any limitation to the functions and scope of use of the embodiments of the present disclosure.

[0214] The electronic device may be in the form of a general-purpose computing device, for example, it may be a server device. The components of the electronic device may include, but are not limited to: at least one processor, at least one memory, and a bus connecting different system components (including the memory and the processor).

[0215] The bus includes data bus, address bus and control bus.

[0216] The memory may include volatile memory, such as random access memory (RAM) and / or cache memory, and may further include read-only memory (ROM).

[0217] The memory may also include a program tool having a set (at least one) of program modules, such program modules including but not limited to: an operating system, one or more application programs, other program modules and program data, each of which or some combination may include the implementation of a network environment.

[0218] The processor executes various functional applications and data processing by running computer programs stored in the memory.

[0219] The electronic device may also communicate with one or more external devices (e.g., keyboards, pointing devices, etc.). Such communication may be performed through an input / output (I / O) interface. In addition, the electronic device may also communicate with one or more networks (e.g., local area networks (LANs), wide area networks (WANs), and / or public networks, such as the Internet) through a network adapter. The network adapter communicates with other modules of the electronic device through a bus. It should be understood that, although not shown in the figure, other hardware and / or software modules may be used in conjunction with the electronic device, including but not limited to: microcode, device drivers, redundant processors, external disk drive arrays, RAID (disk array) systems, tape drives, and data backup storage systems, etc.

[0220] It should be noted that although several units / modules or sub-units / modules of the electronic device are mentioned in the above detailed description, this division is merely exemplary and not mandatory. In fact, according to the embodiments of the present application, the features and functions of two or more units / modules described above can be embodied in one unit / module. Conversely, the features and functions of one unit / module described above can be further divided into multiple units / modules to be embodied.

[0221] Example 4

[0222] A computer-readable storage medium stores a computer program, and when the program is executed by a processor, the steps of the method for predicting mechanical properties of a magnetic composite material in Example 1 are implemented.

[0223] The readable storage medium may include but is not limited to: a portable disk, a hard disk, a random access memory, a read-only memory, an erasable programmable read-only memory, an optical storage device, a magnetic storage device or any suitable combination of the above.

[0224] In a possible implementation, the present disclosure can also be implemented in the form of a program product, which includes a program code. When the program product is run on a terminal device, the program code is used to enable the terminal device to execute the steps of the method for predicting the mechanical properties of magnetic composite materials described in Example 1.

[0225] Among them, the program code for executing the present disclosure can be written in any combination of one or more programming languages, and the program code can be executed completely on the user device, partially on the user device, as an independent software package, partially on the user device and partially on a remote device, or completely on the remote device.

[0226] Although embodiments of the present disclosure have been shown and described, it will be appreciated by those skilled in the art that various changes, modifications, substitutions and variations may be made to the embodiments without departing from the principles and spirit of the present disclosure, and the scope of the present disclosure is defined by the appended claims and their equivalents.

Claims

1. A method for predicting mechanical properties of magnetic composite materials, characterized in that: The steps include: A plurality of basic parameters of the composite magnetic material to be predicted are obtained, and based on the plurality of basic parameters of the composite magnetic material, effective bulk modulus and effective shear modulus of equivalent particles of different particle sizes are calculated using a generalized self-consistent model; the plurality of basic parameters include at least two of the following parameters: particle size of magnetic powder particles, gradation, ratio of magnetic powder particles of different particle sizes, volume content of magnetic powder particles, and critical magnetic powder content; the composite magnetic material is a multiphase homogeneous composite material composed of magnetic powder particles, a matrix, and an interface layer, and the equivalent particles are composed of spherical magnetic powder particles and an interface layer wrapped outside; According to the critical magnetic powder content, the thickness, volume fraction and elastic modulus of the interface layer are calculated through the interface layer parameter model. According to the parameters in the above calculation process, the effective elastic modulus of the magnetic composite material is calculated using the multiphase inclusion formula to achieve mechanical property prediction; The calculation formula for the effective bulk modulus of equivalent particles of different particle sizes is: in, K hom is the effective bulk modulus of equivalent particles of different particle sizes, K 1. K 2 and K 3 are the bulk moduli of the matrix, interface layer and magnetic powder particles, G 1. G 2. G 3 are the shear moduli of the matrix, interface layer and magnetic powder particles, is the radius of magnetic powder particles, b is the equivalent particle radius; The calculation formula for the effective shear modulus of equivalent particles of different particle sizes is: in, G hom The effective shear modulus of equivalent particles of different particle sizes, , and are the Poisson's ratios of the matrix, interface layer and magnetic powder particles, respectively; The thickness and volume fraction of the interface layer are expressed as: in, f cr is the critical magnetic powder content, f 2. f 3 are the volume fractions of the interface layer and magnetic powder, is the thickness of the interface layer; The elastic modulus of the interface layer is expressed as: in, K 0. are the effective bulk modulus and Poisson’s ratio of the three-phase spherical model, respectively; is the effective bulk modulus of the equivalent particle in the three-phase sphere; f 1 is the volume fraction of the resin, E 2 is the elastic modulus of the interface layer; The effective elastic modulus of the magnetic composite material is calculated by using the multiphase inclusion formula, including: the magnetic composite material is equivalent to a three-phase spherical model consisting of an inclusion phase, an interface phase and a matrix phase, and the strain in the equivalent particle of the rth phase is calculated, which is expressed as: in, For the r The strain in the equivalent particle, I is the unit tensor, S r For the r The Eshelby tensor of equivalent particles, L 0 is the resin matrix stiffness; L r For the r Equivalent particle stiffness, is the resin-based strain; The method of using the multiphase inclusion formula to calculate the effective elastic modulus of the magnetic composite material also includes: calculating the effective stiffness tensor of equivalent particles of different particle sizes, expressed as: in, is the effective stiffness tensor of equivalent particles of different particle sizes, T r is the local strain concentration tensor, A r is the global strain concentration tensor, f r For the r The volume fraction of equivalent particles, N is the total number of equivalent particles contained in the magnetic composite material; The method of using the multiphase inclusion formula to calculate the effective elastic modulus of the magnetic composite material also includes: calculating the effective bulk modulus and shear modulus of the entire magnetic composite material containing equivalent particles of different particle sizes, expressed as: in, , Respectively r The bulk modulus and shear modulus of equivalent particles, f 0 is the volume fraction of the resin matrix; f 3 is the volume fraction of magnetic powder.

2. A magnetic composite material mechanical property prediction system, characterized in that: include: A structural parameterization module obtains multiple basic parameters of the composite magnetic material to be predicted, and calculates the effective bulk modulus and effective shear modulus of equivalent particles of different particle sizes using a generalized self-consistent model based on the multiple basic parameters of the composite magnetic material; the multiple basic parameters include at least two of the following parameters: magnetic powder particle size, gradation, ratio of magnetic powder particles of different particle sizes, volume content of magnetic powder particles, and critical magnetic powder content; the composite magnetic material is a multiphase homogeneous composite material composed of magnetic powder particles, a matrix, and an interface layer, and the equivalent particles are composed of spherical magnetic powder particles and an interface layer wrapped outside; The interface layer parameter calculation module calculates the thickness, volume fraction and elastic modulus of the interface layer through the interface layer parameter model according to the critical magnetic powder content; The material performance calculation module uses the multiphase inclusion formula to calculate the effective elastic modulus of the magnetic composite material according to the parameters in the above calculation process to achieve mechanical performance prediction; The calculation formula for the effective bulk modulus of equivalent particles of different particle sizes is: in, K hom is the effective bulk modulus of equivalent particles of different particle sizes, K 1. K 2 and K 3 are the bulk moduli of the matrix, interface layer and magnetic powder particles, G 1. G 2. G 3 are the shear moduli of the matrix, interface layer and magnetic powder particles, is the radius of magnetic powder particles, b is the equivalent particle radius; The calculation formula for the effective shear modulus of equivalent particles of different particle sizes is: in, G hom The effective shear modulus of equivalent particles of different particle sizes, , and are the Poisson's ratios of the matrix, interface layer and magnetic powder particles, respectively; The thickness and volume fraction of the interface layer are expressed as: in, f cr is the critical magnetic powder content, f 2. f 3 are the volume fractions of the interface layer and magnetic powder, is the thickness of the interface layer; The elastic modulus of the interface layer is expressed as: in, K 0. are the effective bulk modulus and Poisson’s ratio of the three-phase spherical model, respectively; is the effective bulk modulus of the equivalent particle in the three-phase sphere; f 1 is the volume fraction of the resin, E 2 is the elastic modulus of the interface layer; The effective elastic modulus of the magnetic composite material is calculated by using the multiphase inclusion formula, including: the magnetic composite material is equivalent to a three-phase spherical model consisting of an inclusion phase, an interface phase and a matrix phase, and the strain in the equivalent particle of the rth phase is calculated, which is expressed as: in, For the r The strain in the equivalent particle, I is the unit tensor, S r For the r The Eshelby tensor of equivalent particles, L 0 is the resin matrix stiffness; L r For the r Equivalent particle stiffness, is the resin-based strain; The method of using the multiphase inclusion formula to calculate the effective elastic modulus of the magnetic composite material also includes: calculating the effective stiffness tensor of equivalent particles of different particle sizes, expressed as: in, is the effective stiffness tensor of equivalent particles of different particle sizes, T r is the local strain concentration tensor, A r is the global strain concentration tensor, f r For the r The volume fraction of equivalent particles, N is the total number of equivalent particles contained in the magnetic composite material; The method of using the multiphase inclusion formula to calculate the effective elastic modulus of the magnetic composite material also includes: calculating the effective bulk modulus and shear modulus of the entire magnetic composite material containing equivalent particles of different particle sizes, expressed as: in, , Respectively r The bulk modulus and shear modulus of equivalent particles, f 0 is the volume fraction of the resin matrix; f 3 is the volume fraction of magnetic powder.

3. An electronic device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that: When the processor executes the computer program, the method for predicting the mechanical properties of a magnetic composite material as claimed in claim 1 is implemented.

4. A computer-readable storage medium having a computer program stored thereon, characterized in that: When the program is executed by a processor, the method for predicting the mechanical properties of a magnetic composite material as claimed in claim 1 is implemented.

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