Amorphous wire stress-electromagnetic coupling effect modeling method based on micro-magnetism theory

Abstract

The invention discloses an amorphous wire stress-electromagnetic coupling effect modeling method based on a micro-magnetism theory, and belongs to the technical field of magnetic materials and electromagnetic property regulation and control. According to the method, an amorphous wire micro-magnetic three-dimensional simulation model is constructed, solving is conducted through a finite element method, cross-scale simulation of magnetic domain structure evolution of the amorphous wire under the action of external stress is achieved, the change of effective magnetic conductivity of the amorphous wire under the action of different stress fields is further calculated, the skin effect and the magneto-impedance theory are fused, and the magnetic conductivity of the amorphous wire is calculated. And establishing an amorphous wire electromagnetic impedance spectrum model. According to the method, a quantitative mapping relation among the effective magnetic conductivity, the electromagnetic impedance characteristic and the external stress is established, a magnetic domain structure under the action of different stress fields can be deduced, and key parameters such as the effective magnetic conductivity and the electromagnetic impedance spectrum are output; theoretical guidance is provided for wide application of the amorphous wire in the fields of high-sensitivity stress sensing device design, broadband adjustable electromagnetic wave absorption / shielding, self-sensing composite material structure health monitoring and the like.

Description

Technical Field

[0001] The present invention belongs to the technical fields of magnetic materials technology and electromagnetic property regulation technology, relates to the stress-electromagnetic coupling effect of amorphous wires, and particularly relates to a modeling method for the stress-electromagnetic coupling effect of amorphous wires based on micromagnetics theory. Background Art

[0002] As a newly developed type of intelligent fiber material in recent years, amorphous wires exhibit unique physical properties such as giant magneto-impedance effect and Barkhausen effect by virtue of their unique magnetic domain structure characteristics and controllable magnetic anisotropy. Such materials have both micron-scale geometric features and excellent mechanical property advantages, and have important application values in the fields of flexible stress sensing, biomedical detection, intelligent electromagnetic regulation, and in-situ monitoring of composite materials. However, current research mainly focuses on the magneto-impedance effect, and the research on the coupling mechanism between the stress field and electromagnetic parameters is still insufficient. Especially limited by the micron-scale size characteristics of fiber materials, traditional physical testing methods are difficult to achieve in-situ observation of the dynamic transformation of magnetic domains inside the material and the electromagnetic parameter response under the action of the stress field, and this technical bottleneck restricts the design and engineering application of amorphous wire functional devices.

[0003] Micromagnetics theory, as the core theoretical framework for describing the magnetization behavior of magnetic materials, characterizes the system through the continuous field of magnetization intensity vector, effectively realizing the cross-scale correlation between the atomic-scale magnetic moment evolution and macroscopic magnetic properties. By solving the Landau-Lifshitz-Gilbert equation, this theory can accurately reconstruct microscopic dynamic processes such as magnetic domain wall motion and magnetic moment rotation, providing a physical basis for revealing the magnetization mechanism under the action of complex external field coupling. Currently, this theory has been successfully applied to the research of material systems such as nano-magnetic devices, two-dimensional heterojunctions, and amorphous alloy thin strips. However, in the field of amorphous wire materials with strong shape anisotropy, there is still a lack of systematic theoretical modeling methods for the magneto-elastic coupling effect caused by their unique quasi-one-dimensional structure. Summary of the Invention

[0004] Based on the above-mentioned deficiencies in the research on the stress-electromagnetic coupling effect of amorphous wires, the present invention proposes a modeling method for the stress-electromagnetic coupling effect of amorphous wires based on micromagnetics theory, and the method includes the following steps:

[0005] S1: According to the geometric morphology, magnetic parameters, and intrinsic magneto-elastic anisotropy of the amorphous wire, construct a three-dimensional micromagnetic simulation model of the amorphous wire, and solve the time-domain Landau-Lifshitz-Gilbert equation based on the amorphous wire by the finite element method to obtain the initial magnetic domain structure;

[0006] S2: Based on the magneto-elastic coupling relationship of the amorphous wire, solve the dynamic evolution process of the magnetic domain structure of the amorphous wire under the action of the stress field;

[0007] S3: Solve the frequency-domain Landau-Lifshitz-Gilbert equation based on the amorphous wire by the finite element method to obtain the effective permeability parameters;

[0008] S4: Integrate the skin effect and the magneto-impedance theory to establish the electromagnetic impedance spectrum model of the amorphous wire.

[0009] Compared with the prior art, the innovative advantages of the present invention are reflected in:

[0010] 1) According to the geometric morphology, magnetic parameters and intrinsic magneto-elastic anisotropy of the amorphous wire, the present invention constructs a three-dimensional micromagnetic simulation model of the amorphous wire, and reveals the dynamic evolution law of the magnetic domain structure of the amorphous wire under the action of an external stress field through micromagnetic theory, breaking through the characterization limitations of traditional methods for the transformation of microscopic structures.

[0011] 2) The present invention uses the frequency-domain perturbation method to solve the effective permeability parameters of the amorphous wire, establishes the stress-effective permeability mapping relationship, and clarifies the response mechanism of the effective permeability of the amorphous wire to the change of the stress field.

[0012] 3) The present invention integrates the skin effect and the magneto-impedance theory to establish the electromagnetic impedance spectrum model of the amorphous wire, realizing the quantitative characterization of the dynamic response characteristics of the electromagnetic impedance characteristics of the amorphous wire to stress loading. The whole method realizes the quantitative mapping of "stress loading - magnetic domain reconstruction - permeability change - impedance response";

[0013] 4) Based on the method of the present invention, the visual characterization of the dynamic transformation of the magnetic domain inside the amorphous wire and the response of electromagnetic parameters under the action of the stress field can be obtained, which helps to solve the problems of difficult acquisition of electromagnetic parameters and insufficient multi-physical field coupling in the research of amorphous wires.

[0014] Through this method, the magnetic domain structure of the amorphous wire under different stress fields can be deduced, and key parameters such as effective permeability and electromagnetic impedance spectrum can be output, providing support for the wide application of amorphous wires in the fields of high-sensitivity stress sensor design, broadband tunable electromagnetic wave absorption / shielding, and self-sensing composite material structure health monitoring. Description of the Drawings

[0015] Figure 1 It is a schematic framework diagram of the modeling method for the stress-electromagnetic coupling effect of the amorphous wire;

[0016] Figure 2 It is a schematic diagram of the initial state structure parameter setting of the amorphous wire micromagnetic model;

[0017] Figure 3 It is a schematic diagram of the magnetic domain distribution characteristics of the initial state of the amorphous wire micromagnetic model;

[0018] Figure 4 It is a schematic diagram of the magnetic domain structure evolution under the axial tensile stress of 100 MPa;

[0019] Figure 5 Schematic diagram of the evolution of the magnetic domain structure under an axial tensile stress of 200 MPa

[0020] Figure 6 Numerical simulation diagram of the frequency response characteristics of the effective permeability of the initial amorphous wire

[0021] Figure 7 Comparison diagram of the frequency response characteristics of the effective permeability of amorphous wires under different axial stresses

[0022] Figure 8 Numerical simulation diagram of the impedance spectrum characteristics of the initial amorphous wire

[0023] Figure 9 Comparison diagram of the impedance spectrum characteristics of amorphous wires under different axial stresses Specific implementation manners

[0024] The technical solution of the present invention will be further described below in conjunction with the accompanying drawings and embodiments. The present invention includes but is not limited to the described embodiments.

[0025] Aiming at the problems of limited physical characterization means and lack of theoretical models in the existing research on the stress - electromagnetic coupling effect of amorphous wires, the present invention proposes a modeling method for the stress - electromagnetic coupling effect of amorphous wires based on micromagnetics theory. What this method aims to achieve is the cross - scale simulation of the evolution of the magnetic domain structure of amorphous wires under the action of external stress, and a quantitative mapping relationship between the effective permeability, electromagnetic impedance characteristics and external stress is established. Through micromagnetic simulation technology, this method realizes the three - dimensional reconstruction and visual characterization of the evolution law of the magnetic domain structure of amorphous wires under the action of an external stress field. The present invention establishes an effective permeability calculation model for the stress - electromagnetic coupling effect to quantitatively characterize the dynamic response characteristics of the frequency - variable permeability of amorphous wires under different stress fields.

[0026] The schematic diagram of the theoretical framework of the modeling method for the stress - electromagnetic coupling effect of amorphous wires proposed by the present invention based on micromagnetics theory is as shown in Figure 1 shown, and the method includes the following steps:

[0027] S1: According to the geometric shape, magnetic parameters and intrinsic magneto - elastic anisotropy of the amorphous wire, construct a three - dimensional micromagnetic simulation model of the amorphous wire, and solve the time - domain Landau - Lifshitz - Gilbert equation based on the amorphous wire by the finite - element method to obtain the initial magnetic domain structure;

[0028] The amorphous wire of the present invention is an amorphous ferromagnetic alloy fiber. In the implementation of the present invention, the three - dimensional micromagnetic simulation model of the amorphous wire is a concentric cylinder model equivalent to the core - shell double - layer magnetic domain structure of the amorphous wire; its establishment steps include:

[0029] S11: Set the model structure parameters according to the geometric shape of the amorphous wire. The model structure parameters include the inner diameter, outer diameter, and height of the concentric cylinders.

[0030] S12: Set the magnetic parameters of the amorphous wire. The magnetic parameters include the saturation magnetization, exchange interaction constant, and magnetostriction coefficient.

[0031] S13: Construct the effective field according to the intrinsic magnetoelastic anisotropy. The effective field includes the exchange field and the magnetoelastic anisotropy field.

[0032] S2: Based on the magnetoelastic coupling relationship of the amorphous wire, solve the dynamic evolution process of the magnetic domain structure of the amorphous wire under the action of the stress field.

[0033] In S2, the external stress field affects the stress on the amorphous wire and then changes the magnetic domain structure. The specific steps of S2 are as follows:

[0034] First, based on the external stress on the amorphous wire and the intrinsic internal stress of the amorphous wire obtain the stress on the amorphous wire ;

[0035] Then, substitute the stress on the amorphous wire into the time-domain Landau-Lifshitz-Gilbert equation in S1 to solve the magnetic domain structure, and obtain the dynamic evolution process of the magnetic domain structure of the amorphous wire under the action of the stress field.

[0036] S3: Solve the frequency-domain Landau-Lifshitz-Gilbert equation based on the amorphous wire by the finite element method to obtain the effective permeability parameters.

[0037] S4: Integrate the skin effect and the magnetic impedance theory to obtain the impedance of the amorphous wire at different frequencies (the numerical values of the magnetic impedance spectrum of the amorphous wire), and thus establish the electromagnetic impedance spectrum model of the amorphous wire.

[0038] From the above introduction of the method, it can be seen that through this method, the magnetic domain structure of the amorphous wire under different stress fields can be deduced, and key parameters such as the effective permeability and electromagnetic impedance characteristics can be output, providing theoretical guidance for the wide application of the amorphous wire in high-sensitivity stress sensor device design, broadband tunable electromagnetic wave absorption / shielding, and self-sensing composite material structure health monitoring and other fields.

[0039] In a specific embodiment of the present invention, the initial magnetic domain structure obtained by solving the time-domain Landau-Lifshitz-Gilbert equation based on the amorphous wire by the finite element method specifically includes the following steps:

[0040] The time-domain Landau-Lifshitz-Gilbert equation based on the amorphous wire is:

[0041]

[0042] In the formula: is the unit magnetic moment, is the gyromagnetic ratio, is the effective field, is the Gilbert damping factor, is the exchange interaction coefficient, is the magnetostriction coefficient, is the stress, is the vacuum permeability, is the saturation magnetization. Convert this equation to the weak equation form:

[0043]

[0044] The numerical solution of this equation can be obtained by the Galerkin method based on the finite element method, and the distribution of the unit magnetic moment is obtained. In the formula, is the second-order Lagrangian shape test function, represents the model domain of the three-dimensional micromagnetic simulation model of the amorphous wire, is the spatial position, is the spatial coordinate component. In the time-domain solution , , are respectively at time, the unit magnetic moment at time, is the time increment; it can be further substituted into the weak equation:

[0045]

[0046] The equation is solved by the Galerkin method based on the finite element method to obtain the distribution of the unit magnetic moment in the three-dimensional micromagnetic simulation model of the amorphous wire, which is the initial magnetic domain structure of the amorphous wire.

[0047] In a specific embodiment of the present invention, the S3 solves the effective permeability parameter by the finite element method for the frequency-domain Landau-Lifshitz-Gilbert equation based on the amorphous wire, specifically including:

[0048] S31: Due to the skin effect, the coupling effect with the demagnetizing field needs to be further considered on the basis of the effective field in S13 in the frequency-domain solution; transform the time-domain Landau-Lifshitz-Gilbert equation into the frequency-domain Landau-Lifshitz-Gilbert equation, and the transformation process is:

[0049]

[0050]

[0051] Among them, the unit magnetic moment is disassembled into a static stable magnetic moment and a dynamic magnetic moment , is the angular frequency, and the effective field is disassembled into a static stable effective field and a dynamic perturbation effective field . The weak equation form of the frequency-domain Landau-Lifshitz-Gilbert equation is as follows:

[0052]

[0053] is the introduced perturbation field. By solving the finite element of this weak equation, the change of the dynamic magnetic moment under different frequency perturbation fields can be obtained.

[0054] S32: Solve the frequency-domain magnetic susceptibility tensor by the perturbation method: ,

[0055] S33: Obtain the effective magnetic permeability of the amorphous wire: .

[0056] In a specific embodiment of the present invention, the electromagnetic impedance calculation in S4 adopts a hierarchical progressive algorithm:

[0057] S41: Calculate the skin depth of the amorphous wire under electromagnetic waves of different frequencies:

[0058] In the formula: is the skin depth, is the electromagnetic wave frequency, is the vacuum magnetic permeability, is the conductivity;

[0059] S42: Solve the propagation constant of the electromagnetic wave in the amorphous wire:

[0060]

[0061] S43: Calculate the impedance of the amorphous wire at different frequencies to obtain the electromagnetic impedance spectrum model of the amorphous wire; where the impedance of the amorphous wire at different frequencies is:

[0062]

[0063] In the formula: is the impedance, is the DC resistance, is the radius of the amorphous wire, is the Bessel function of the first kind of order 0 and is the Bessel function of the first kind of order 1.

[0064] The following is a description and explanation of this embodiment through preferred embodiments:

[0065] According to the geometric shape of the amorphous wire, its own magnetic parameters and the intrinsic magnetoelastic anisotropy, an amorphous wire model with a core-shell structure is constructed in the micromagnetics module of COMSOL software. The height of the concentric cylinder is 5 μm, the inner diameter of the outer circle is 3 μm, and the inner diameter of the inner circle is 0.6 μm. The magnetostriction coefficient ( ) of the amorphous wire is -2×10 -7 , the saturation magnetization intensity ( ) is 5×10 5 A / m, the vacuum permeability ( ) is 4π×10 -7 H / m, the gyromagnetic ratio is 2.21×10 5 m / (s·A), and the exchange interaction coefficient is 3.8×10 -11 A·m. The magnetoelastic effective field at the core of the amorphous wire is 0, and the circumferential direction ( ) of the shell layer is subjected to a contraction stress of 600 MPa, and the axial direction ( ) is subjected to a contraction stress of 300 MPa. Then, the effective fields , , of the shell layer of the amorphous wire in the X, Y, and Z directions in the Cartesian coordinate system are respectively:

[0066] + A▽ 2

[0067] + A▽ 2

[0068] + A▽ 2

[0069]

[0070]

[0071]

[0072] , , are the unit magnetic moments in the X, Y, and Z directions respectively, , , are the stresses in the X, Y, and Z directions respectively, and x, y, and z are the coordinate values in the X, Y, and Z directions respectively, .

[0073] Substitute the above parameters into the Landau-Lifshitz-Gilbert equation:

[0074] Convert the time-domain Landau-Lifshitz-Gilbert equation of the amorphous wire into the weak equation form:

[0075]

[0076] where is the second-order Lagrangian shape function, is the model domain of the three-dimensional micromagnetic simulation model of the amorphous wire, is the spatial position, is the spatial coordinate component. Among them, to accelerate the solution speed, the Gilbert damping factor is taken as 0.5. The initial magnetic moments in the X, Y, and Z directions are set respectively as:

[0077]

[0078]

[0079]

[0080] In the time-domain solution , it can be further substituted into the weak equation:

[0081]

[0082] Use the Galerkin method based on the finite element method to solve the equation, obtain the distribution of the unit magnetic moment, and complete the solution of the initial magnetic domain structure. In this embodiment, the initial state structure parameters of the three-dimensional micromagnetic simulation model of the amorphous wire are set as Figure 2 shown, and then solve after default mesh division. After the solution is completed, the magnetic moment distribution in the model is as Figure 3 shown, showing an obvious spiral magnetic domain structure.

[0083] This embodiment takes the axial tensile stress as an example of the external stress field. When the amorphous wire is subjected to an external axial tensile stress, due to the initial being a compressive stress of 300 MPa (the intrinsic internal stress of the amorphous wire ), under the action of external tensile stresses of 100 MPa and 200 MPa ( ), the value of will decrease, causing the axial component of the magnetic moment of the amorphous wire to decrease, and gradually changing from the initial spiral magnetic domain structure to a bamboo-joint-like magnetic domain structure, as Figure 4 and Figure 5 shown.

[0084] After obtaining the magnetic domain structure of the amorphous wire under different stress fields through the above steps, the change in the effective permeability of the amorphous wire under different stress fields can be further calculated. Due to the skin effect, electromagnetic waves propagate along the near surface of the amorphous wire shell. When only considering the propagation region, a demagnetizing field needs to be further introduced on the basis of the magnetoelastic effective field. For the convenience of calculation, the above Landau-Lifshitz-Gilbert equation in the time domain also needs to be transformed into the Landau-Lifshitz-Gilbert equation in the frequency domain. Let:

[0085]

[0086]

[0087] The Landau-Lifshitz-Gilbert equation in the frequency domain can be obtained as follows:

[0088]

[0089] When solving in the frequency domain, the Gilbert damping factor = 0.02. The weak equation form of the Landau-Lifshitz-Gilbert equation in the frequency domain is:

[0090]

[0091] At this time, a perturbation field with different frequencies is applied in a certain direction to calculate the change of in the corresponding direction. From the formula:

[0092]

[0093] the magnetic susceptibility can be calculated. Further, from the conversion relationship between the permeability and the magnetic susceptibility:

[0094]

[0095] the effective permeability of the amorphous wire in this direction can be calculated. In the specific application of the amorphous wire, the effective permeability in its circumferential direction is mainly concerned. Therefore, a perturbation magnetic field with different frequencies is applied in the circumferential direction, and then the effective permeability in the circumferential direction is calculated. As shown in Figure 6 , there is an obvious ferromagnetic resonance at about 700 MHz. Similarly, the change in the value of the effective permeability of the amorphous wire can be calculated when the amorphous wire is under axial tensile stress. As shown in Figure 7 , as the axial tensile stress increases, the ferromagnetic resonance frequency gradually shifts to the low frequency, and the value of the effective permeability at the ferromagnetic resonance frequency also gradually decreases.

[0096] On the basis of obtaining the circumferential effective permeability of the amorphous wire, the skin depth of the electromagnetic wave propagation can be further calculated:

[0097]

[0098] wherein is the conductivity, with a value of 1×10 6 S / m. Next, from the impedance calculation equation of the cylindrical magnetic conductor:

[0099]

[0100]

[0101] where R dc = 75 Ω, R = 15 μm. From this, the electromagnetic impedance spectrum values of the amorphous wire can be calculated. As Figure 8 shown, the impedance is the highest at the ferromagnetic resonance frequency of 700 MHz. Similarly, the change in the impedance spectrum characteristics of the amorphous wire under the action of axial tensile stress can be calculated. As Figure 9 shown, as the axial tensile stress increases, the ferromagnetic resonance frequency gradually shifts to the low frequency, and the impedance at the ferromagnetic resonance frequency also gradually decreases.

[0102] In summary, based on the method of the present invention, a visual characterization of the dynamic transformation of magnetic domains inside the amorphous wire and the electromagnetic parameter response under the action of the stress field can be obtained. Through this method, the magnetic domain structure of the amorphous wire under different stress fields can be deduced, and key parameters such as the effective permeability and electromagnetic impedance characteristics can be output.

[0103] The above-described embodiments merely represent several implementation manners of the present invention. The description is relatively specific and detailed, but it should not be construed as a limitation on the scope of the patent of the present invention. It should be noted that for those of ordinary skill in the art, without departing from the concept of the present invention, several modifications and improvements can still be made, and these all belong to the protection scope of the present invention. Therefore, the protection scope of the present invention should be subject to the appended claims.

Claims

1. A modeling method for the stress-electromagnetic coupling effect of amorphous wires based on micromagnetic theory, characterized in that, The method described above includes the following steps: S1: Based on the geometric shape, magnetic parameters, and intrinsic magnetoelastic anisotropy of the amorphous wire, construct a three-dimensional micromagnetic simulation model of the amorphous wire. Solve the time-domain Landau-Lifshitz-Gilbert equation based on the amorphous wire by the finite element method to obtain the initial magnetic domain structure; S2: Based on the magnetoelastic coupling relationship of the amorphous wire, solve the dynamic evolution process of the magnetic domain structure of the amorphous wire under the action of the stress field; S3: Solve the frequency-domain Landau-Lifshitz-Gilbert equation based on the amorphous wire by the finite element method to obtain the effective permeability parameter; S4: Integrate the skin effect and the magneto-impedance theory to establish an electromagnetic impedance spectrum model of the amorphous wire.

2. The method for modeling the stress-electromagnetic coupling effect of amorphous wires based on micromagnetic theory according to claim 1, characterized in that In S1, the amorphous wire is an amorphous ferromagnetic alloy fiber.

3. The method for modeling the stress-electromagnetic coupling effect of amorphous wires based on micromagnetic theory according to claim 1, characterized in that, The three-dimensional micromagnetic simulation model of the amorphous wire in S1 is a concentric cylinder model equivalent to the core-shell bilayer magnetic domain structure of the amorphous wire. Its establishment steps include: S11: According to the geometric shape of the amorphous wire, set the model structure parameters. The model structure parameters include the inner diameter, outer diameter, and height of the concentric cylinder; S12: Set the magnetic parameters of the amorphous wire. The magnetic parameters include the saturation magnetization, exchange interaction constant, and magnetostriction coefficient; S13: According to the intrinsic magnetoelastic anisotropy, construct an effective field. The effective field includes an exchange field and a magnetoelastic anisotropy field.

4. The method for modeling the stress - electromagnetic coupling effect of amorphous wires based on micromagnetic theory according to claim 1, characterized in that, In S1, the step of obtaining the initial magnetic domain structure by solving the time-domain Landau-Lifshitz-Gilbert equation based on the amorphous wire by the finite element method includes: Convert the time-domain Landau-Lifshitz-Gilbert equation of the amorphous wire into a weak equation form: ； In the formula, is the second-order Lagrangian shape test function, is the model domain of the three-dimensional micromagnetic simulation model of the amorphous wire, is the unit magnetic moment, is the Gilbert damping factor, is the gyromagnetic ratio, is the exchange interaction coefficient, is the spatial position, is the spatial coordinate component, is the magnetostriction coefficient, is the stress, is the vacuum permeability, is the saturation magnetization intensity; In the time-domain solution , where , are the unit magnetic moments at time t and time, respectively, and is the time increment; further substitute into the weak equation: ； Use the Galerkin method based on the finite element method to solve the equation, and obtain the distribution of the unit magnetic moment in the three-dimensional micromagnetic simulation model of the amorphous wire, which is the initial magnetic domain structure of the amorphous wire.

5. The method for modeling the stress-electromagnetic coupling effect of an amorphous wire based on micromagnetic theory according to claim 1, characterized in that In S2, the external stress field affects the stress on the amorphous wire and then changes the magnetic domain structure. First, based on the external stress on the amorphous wire and the intrinsic internal stress of the amorphous wire, the stress on the amorphous wire is obtained; Then substitute the stress on the amorphous wire into the time-domain Landau-Lifshitz-Gilbert equation of S1 to solve for the magnetic domain structure, and obtain the dynamic evolution process of the magnetic domain structure of the amorphous wire under the action of the stress field.

6. The method for modeling the stress - electromagnetic coupling effect of amorphous wire based on micromagnetic theory according to claim 1, characterized in that, S3 specifically includes: S31: Transform the time-domain Landau-Lifshitz-Gilbert equation into a frequency-domain Landau-Lifshitz-Gilbert equation. The weak equation form of the frequency-domain Landau-Lifshitz-Gilbert equation is: ； Among them, the unit magnetic moment is disassembled into a static stable magnetic moment and a dynamic magnetic moment , is the angular frequency, is the introduced perturbation field, and the change of the dynamic magnetic moment under different frequency perturbation fields is obtained by finite element solution of this weak equation; S32: Solve the frequency-domain magnetic susceptibility tensor: , S33: Obtain the effective magnetic permeability of the amorphous wire: .

7. The method for modeling the stress-electromagnetic coupling effect of amorphous wires based on micromagnetic theory according to claim 1, characterized in that, In S4, a hierarchical progressive algorithm is used to construct the electromagnetic impedance spectrum model of the amorphous wire.

8. The method for modeling the stress-electromagnetic coupling effect of amorphous wires based on micromagnetic theory according to claim 1, characterized in that, S4 includes: S41: Calculate the skin depth of the amorphous wire under electromagnetic waves of different frequencies: ; In the formula: is the skin depth, is the electromagnetic wave frequency, is the magnetic permeability of vacuum, is the conductivity; S42: Solve the propagation constant of electromagnetic waves in the amorphous wire : ； S43: Calculate the impedance of the amorphous wire at different frequencies to obtain the electromagnetic impedance spectrum model of the amorphous wire. The impedance Z of the amorphous wire at different frequencies is: ； Where: Z is the impedance, is the DC resistance, is the radius of the amorphous wire, is the Bessel function of the first kind of order 0 and is the Bessel function of the first kind of order 1.

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