Multi-field coupling cutting edge breakage-resistant design method

By employing a multi-field coupled cutting edge anti-breakage design method, the problem of tool breakage during metal cutting is solved, achieving precise design and efficient machining, which is especially suitable for titanium alloys and high-temperature alloys.

CN121503083APending Publication Date: 2026-02-10NANJING INST OF TECH
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Patent Information

Application Number
CN202511776979.6
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-11-28
Publication Date
2026-02-10

AI Technical Summary

Technical Problem

In existing metal cutting processes, especially when machining titanium alloys and high-temperature alloys, the cutting edge of the cutting tool is prone to breakage. The design basis is insufficient, the failure mechanism is simple, the experimental cost is high and the accuracy is limited, and it cannot accurately reflect the various failure modes in the dynamic cutting process.

Method used

A multi-field coupled cutting edge anti-fracture design method is adopted. By constructing a three-dimensional model of tool-workpiece-cutting, the triaxial cutting force and vibration effect during the cutting process are simulated, critical stress and energy damage constraints are set, and tool parameters are optimized to resist various failure modes.

Benefits of technology

Significantly reduces design costs and time, improves the structural reliability and service life of cutting tools under complex working conditions, extends tool life, and improves machining efficiency and quality.

✦ Generated by Eureka AI based on patent content.

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Abstract

The invention discloses a multi-field coupled cutting edge breakage-resistant design method, which comprises the following steps of: setting a combination of material performance parameters, machining process parameters and tool parameters of a plurality of workpieces, constructing a tool-workpiece-cutting three-dimensional model, simulating a three-way cutting force of a tool cutting edge, dividing load stages, and designing a multi-field coupled cutting edge breakage-resistant design model. Determining the critical stress of each combination in each load stage; determining a dynamic critical stress threshold value of a cutter material according to a vibration effect of the cutter in a cutting process, and setting a critical stress constraint condition of each load stage; determining the energy damage of the cutter at each load stage of each combination, calculating an energy damage ratio, and setting an energy damage ratio constraint condition according to the energy damage ratio; and performing tool-workpiece-cutting three-dimensional model analogue simulation on each combination, and screening out the combination meeting the critical stress constraint condition and the energy damage ratio constraint condition in each load stage as a cutting edge breakage-resistant design parameter. The precision of the breakage-resistant design of the cutting edge is improved.
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Description

TECHNICAL FIELD

[0001] The present application relates to the technical field of metal cutting, in particular to a multi-field coupling cutting edge anti-breaking design method. BACKGROUND

[0002] In metal cutting, the breaking of the cutting edge of the tool is a key factor affecting the machining efficiency, machining quality and machining cost. Especially when machining difficult-to-machine materials such as titanium alloy and high-temperature alloy, the high material strength and poor thermal conductivity lead to large cutting force and high temperature in the cutting process, which easily causes early tool breaking. The traditional design method of the anti-breaking of the cutting edge of the tool mainly relies on experience accumulation and trial-and-error method, which has the following technical defects: (1) Insufficient design basis: the traditional method mainly considers the strength checking under static load, while the actual cutting process is dynamic, accompanied by mechanical impact, thermal shock and vibration, and the traditional method cannot accurately reflect these dynamic effects; (2) Single failure mechanism: the existing technology usually only focuses on a certain failure mode such as wear failure, while in fact the breaking of the cutting edge is often the result of the combined action of multiple failure mechanisms such as cutting impact crushing, steady cutting shearing and cutting out tensile stress cracking; (3) High experimental cost: the traditional trial-and-error method needs to prepare a large number of tools with different edge shapes for cutting tests, which consumes a lot of time and resources, and has a long development cycle and high cost; (4) Limited design precision: the experience design method cannot accurately predict the stress distribution and temperature field change of the tool under actual complex working conditions, and the reliability of the design result is insufficient.

[0003] Therefore, there is an urgent need for a cutting edge design method that integrates multi-physical field coupling effects, material properties and dynamic loads. SUMMARY

[0004] In view of the problems existing in the prior art, the present application provides a multi-field coupling cutting edge anti-breaking design method, which integrates multi-physical field coupling and dynamic load to improve the precision of cutting edge anti-breaking design.

[0005] To achieve the above technical purpose, the present application adopts the following technical solution: a multi-field coupling cutting edge anti-breaking design method, comprising the following steps: Step S1: setting a plurality of combinations of material performance parameters, machining process parameters and tool parameters of workpieces, and constructing a tool-workpiece-cutting three-dimensional model; Step S2: based on the tool-workpiece-cutting three-dimensional model, real-time simulating the three-directional cutting force of the cutting edge of the tool, dividing the load stage, and determining the critical stress of each combination at each load stage; Step S3: Determine the dynamic critical stress threshold of the tool material based on the vibration effect of the tool during the cutting process, and set the critical stress constraint conditions for each load stage based on the dynamic critical stress threshold of the tool material. Step S4: Determine the energy damage of the tool in each load stage for each combination, calculate the energy damage ratio, and set energy damage ratio constraints based on the energy damage ratio; Step S5: Perform simulation of the tool-workpiece-cutting three-dimensional model for each combination, and select the combination that satisfies the critical stress constraint and energy damage ratio constraint at each load stage as the cutting edge anti-breakage design parameter.

[0006] Furthermore, the tool parameters include: rake face rounding radius. flank radius The back face has a long rounded arc. and front corner and back corner Among them, the radius of the rake face rounding and the radius of the fillet face The range of values ​​is The back face has a long rounded arc. Front corner The value range is 0-30°, and the rear angle is... The value range is 5-35°. This represents the minimum safe arc length.

[0007] Furthermore, the machining process parameters include: machining type, cutting speed, feed rate, and depth of cut.

[0008] Furthermore, the tool-workpiece-cutting three-dimensional model also needs to set tool-workpiece contact model, tool-chip contact model, friction coefficient and fracture criterion parameters, and apply boundary conditions, including: workpiece fixing method, tool motion trajectory, thermodynamic boundary conditions and vibration load.

[0009] Furthermore, the loading stage includes: the cutting edge entry impact stage, the cutting edge steady-state cutting stage, and the cutting edge exit stage; The critical stress obtained during the cutting edge impact phase is the maximum compressive stress of the cutting edge. ; The critical stress obtained from the steady-state cutting stage of the cutting edge is the maximum shear stress of the cutting edge. ; The critical stress obtained during the cutting stage is the maximum tensile stress in the normal direction of the cutting edge. .

[0010] Furthermore, the specific constraint conditions for the critical stress at each loading stage are as follows:

[0011]

[0012]

[0013] in, This indicates the critical compressive stress threshold of the tool material. , This represents the static critical compressive strength of the tool material at the cutting temperature. Indicates the dynamic correction factor for the tool material; This indicates the critical tangential stress threshold of the tool material. , This represents the static critical shear stress intensity of the tool material at the cutting temperature. This indicates the critical tensile stress threshold of the tool material. , It represents the static critical tensile strength of the tool material at the cutting temperature.

[0014] Furthermore, the dynamic correction coefficient of the tool material The calculation process is as follows:

[0015] in, This indicates the vibration influence factor of the tool material. , This indicates the vibration amplitude of the cutting tool. This indicates the reference amplitude of the tool vibration. Indicates the vibration frequency of the cutting tool. Indicates the reference frequency of the tool's vibration. Represents the frequency weighting index. Indicates the directional weighting factor; and All of these represent the fitted parameters.

[0016] Furthermore, the process for determining the energy damage of the tool at each load stage is as follows:

[0017]

[0018]

[0019] in, This indicates the energy damage to the tool during the cutting edge impact phase. This represents the material-sensitive damage constant of the tool during the cutting edge impact phase. This represents the static critical compressive strength of the tool material at the cutting temperature. This represents the average cutting temperature. Indicates thermal activation energy. Indicates the number of cutting cycles. and Both represent exponential factors. Represents the dynamic load factor. , Indicates the reference frequency of the tool's vibration. Indicates the frequency of serrated chip formation. Indicates the load fluctuation coefficient. and All represent the fitting coefficients. This indicates the energy damage to the tool during the steady-state cutting phase. This represents the material-sensitive damage constant of the tool during the steady-state cutting phase. This indicates the energy damage to the tool during the cutting edge exiting the cutting stage. This represents the material-sensitive damage constant of the tool during the cutting edge exiting the cutting stage. It represents the static critical tensile strength of the tool material at the cutting temperature.

[0020] Furthermore, the process of setting the energy damage ratio constraint is as follows:

[0021]

[0022]

[0023] in, This represents the energy damage threshold of the tool during the cutting edge impact phase. This represents the energy damage threshold of the tool during the steady-state cutting phase. This represents the energy damage threshold of the tool during the cutting edge exiting the cutting stage.

[0024] Compared with the prior art, the present invention has the following beneficial effects: (1) The multi-field coupled cutting edge anti-breakage design method of the present invention divides the load stage into the cutting edge entry impact stage, the cutting edge steady-state cutting stage and the cutting edge exit stage according to the constructed tool-workpiece-cutting three-dimensional model. It can completely replicate the dynamic load characteristics in the actual cutting process, break through the limitation of traditional methods that only focus on static loads, accurately capture the stress type and load peak difference of different cutting stages, and thus provide a theoretical basis for targeted anti-breakage design that fits the actual working conditions. At the same time, the three-dimensional model simulation model replaces a large number of physical tests, significantly reducing the time cost and resource consumption of the cutting edge anti-breakage design stage and shortening the tool development cycle. (2) The multi-field coupled cutting edge anti-breakage design method of the present invention determines the dynamic critical stress threshold of the tool material by comprehensively considering the multi-physics field coupling effect, material properties and dynamic load, and sets the critical stress constraint conditions for each load stage. It abandons the traditional single failure mechanism design logic and realizes the coordinated consideration of mechanical stress field, thermal field and vibration field. At the same time, the dynamic critical stress threshold can reflect the influence of complex factors such as cutting temperature, strain rate and vibration amplitude on tool strength. With the optimization of tool parameters, it can resist multiple types of breakage forms such as infeed impact crushing, steady-state shear failure and outfeed tensile stress fracture, and greatly improve the structural reliability and anti-breakage ability of the tool under complex working conditions. (3) The multi-field coupled cutting edge anti-breakage design method of the present invention calculates the energy damage ratio based on the energy damage of the tool in each load stage and sets the energy damage ratio constraint condition, which makes up for the shortcomings of the traditional strength verification that only focuses on instantaneous failure. By introducing dynamic load factor and thermal activation energy influence term, the fatigue cumulative damage and thermal damage in the cutting process are accurately quantified. Combined with the optimization of process parameters such as cutting speed, feed rate, and cooling method, the fatigue damage of the tool caused by load fluctuation caused by sawtooth chips can be effectively suppressed. At the same time, the material performance decay caused by cutting heat accumulation is controlled, the tool service life is extended, and the stability of processing efficiency and processing quality is taken into account. It is especially suitable for cutting scenarios of difficult-to-machine materials such as titanium alloys and high-temperature alloys.

[0025] In summary, this invention constructs critical stress constraint conditions and energy damage ratio constraint conditions by integrating multi-physics coupling effects, material properties, and dynamic loads, which greatly improves the accuracy of cutting edge anti-breakage design. Attached Figure Description

[0026] Figure 1 This is a flowchart of the multi-field coupled cutting edge anti-breakage design method of the present invention. Detailed Implementation

[0027] The technical solution of the present invention will be further explained and described below with reference to the accompanying drawings.

[0028] like Figure 1 This is a flowchart of the multi-field coupled cutting edge anti-fracture design method of the present invention, which includes the following steps: Step S1: Set a combination of material property parameters, machining process parameters and tool parameters for several workpieces, and construct a tool-workpiece-cutting 3D model using SolidWorks or UGNX software. Replace the experiment with the tool-workpiece-cutting 3D model to reduce costs and time.

[0029] The material properties of the workpiece in this invention include: the tensile strength, elastic modulus, Poisson's ratio, coefficient of thermal expansion, fracture toughness and other mechanical properties of the workpiece to be processed; the microstructure and chemical composition of the material are analyzed by X-ray diffraction and scanning electron microscopy to obtain constitutive relation parameters under different temperatures and strain rates.

[0030] The tool parameters in this invention include: performance indicators of the tool material, such as hardness, bending strength, compressive strength, and tensile strength; coating type, coating thickness, and performance; and cutting edge geometry parameters, including the rake face radius. flank radius The back face has a long rounded arc. and front corner and back corner Among them, the radius of the rake face rounding and the radius of the fillet face The range of values ​​is The back face has a long rounded arc. Front corner The value range is 0-30°, and the rear angle is... The value range is 5-35°. This represents the minimum safe arc length. Calculate based on the workpiece material properties using the following method: For continuously shaped materials such as steel, use the formula directly: For materials such as titanium alloys and high-temperature alloys that are prone to forming serrated chips, the minimum safe arc length is... Dynamic loads and thermal effects need to be considered for correction: a correction formula is used. ,in, This indicates the tensile strength of the tool material.

[0031] The machining process parameters in this invention include: machining type such as milling and turning, cutting speed, feed rate and depth of cut. At the same time, cooling methods such as dry cutting and wet cutting are considered, as well as coolant parameters such as flow rate, pressure and composition, and machine tool performance parameters such as spindle speed, feed accuracy and rigidity. The effects of these parameters on cutting force, temperature and tool wear are analyzed.

[0032] In one technical solution of the present invention, the tool-workpiece-cutting three-dimensional model also needs to set the tool-workpiece contact model, the tool-chip contact model, the friction coefficient and the fracture criterion parameters, and apply boundary conditions, including: workpiece fixing method, tool motion trajectory, thermodynamic boundary conditions and vibration load.

[0033] Step S2: Based on the tool-workpiece-cutting 3D model, simulate the triaxial cutting force of the tool cutting edge in real time, divide the load stages, and determine the critical stress of each combination and each load stage; specifically, the load stages in this invention include: the cutting edge entry impact stage, the cutting edge steady-state cutting stage, and the cutting edge exit stage. The critical stress obtained from the cutting edge entry impact stage is the maximum compressive stress of the cutting edge. The critical stress obtained from the steady-state cutting stage of the cutting edge is the maximum shear stress of the cutting edge. The critical stress obtained during the cutting stage is the maximum tensile stress in the normal direction of the cutting edge. By dividing the load into stages, the dynamic load characteristics of the actual cutting process can be fully replicated, breaking through the limitations of traditional methods that only focus on static loads. It accurately captures the stress types and load peak differences in different cutting stages, thus providing a theoretical basis for targeted anti-breakage design that fits the actual working conditions. At the same time, the three-dimensional model simulation model replaces a large number of physical experiments, significantly reducing the time cost and resource consumption in the anti-breakage design stage of the cutting edge, and shortening the tool development cycle.

[0034] Step S3: Determine the dynamic critical stress threshold of the tool material based on the vibration effect of the tool during the cutting process. Set the critical stress constraint conditions for each load stage based on the dynamic critical stress threshold of the tool material. This abandons the traditional design logic of a single failure mechanism and realizes the coordinated consideration of mechanical stress field, thermal field and vibration field. At the same time, the dynamic critical stress threshold can reflect the influence of complex factors such as cutting temperature, strain rate and vibration amplitude on tool strength. With the optimization of tool parameters, it can resist multiple types of damage forms such as infeed impact crushing, steady-state shear failure and outfeed tensile stress fracture, which greatly improves the structural reliability and damage resistance of the tool under complex working conditions.

[0035] The specific constraint conditions for the critical stress in each loading stage are as follows: To resist the impact and crushing; To resist shear failure; To prevent the cutting edge from chipping; in, This indicates the critical compressive stress threshold of the tool material. , This represents the static critical compressive strength of the tool material at the cutting temperature. Indicates the dynamic correction factor for the tool material; This indicates the critical tangential stress threshold of the tool material. , This represents the static critical shear stress intensity of the tool material at the cutting temperature. This indicates the critical tensile stress threshold of the tool material. , It represents the static critical tensile strength of the tool material at the cutting temperature.

[0036] By establishing a mapping relationship between parameters and critical stress attenuation, the dynamic correction coefficient of the tool material is obtained. The coupling effect of vibration field with mechanical stress field and thermal field is quantified into a computable correction factor, enabling the critical stress threshold of tool material to respond to cutting dynamic changes in real time. The critical stress threshold of each load stage is matched with the dynamic characteristics of the corresponding failure mode, transforming the optimization process from "experience adjustment" to "data-driven". This improves design accuracy, breaks through the limitations of static performance parameters, and achieves precise matching between the strength threshold of tool material and actual cutting dynamic conditions.

[0037]

[0038] in, This indicates the vibration influence factor of the tool material. , This indicates the vibration amplitude of the cutting tool. This indicates the reference amplitude of the tool vibration. Indicates the vibration frequency of the cutting tool. Indicates the reference frequency of the tool's vibration. Represents the frequency weighting index. Indicates the directional weighting factor; and All of these represent the fitted parameters.

[0039] Step S4: Determine the energy damage of the tool at each load stage for each combination, calculate the energy damage ratio, and set energy damage ratio constraints based on the energy damage ratio. This overcomes the shortcomings of traditional strength verification, which only focuses on instantaneous failure. By introducing dynamic load factors and thermally activated energy influence terms, the fatigue cumulative damage and thermally induced damage during the cutting process are accurately quantified. Combined with the optimization of process parameters such as cutting speed, feed rate, and cooling method, the fatigue damage of the tool caused by load fluctuations caused by serrated chips can be effectively suppressed. At the same time, the material property degradation caused by the accumulation of cutting heat can be controlled, the tool life can be extended, and the stability of machining efficiency and machining quality can be taken into account. It is especially suitable for cutting scenarios of difficult-to-machine materials such as titanium alloys and high-temperature alloys.

[0040] Considering that the formation of serrated chips is accompanied by periodic shear instability, leading to high-frequency, high-amplitude fluctuations in cutting forces, these fluctuations significantly accelerate fatigue damage. Therefore, in the energy damage calculation, a dynamic load factor related to the chip frequency and fluctuation amplitude is explicitly introduced. The process for determining the energy damage of the tool at each load stage is as follows:

[0041]

[0042]

[0043] in, This indicates the energy damage to the tool during the cutting edge impact phase. This represents the material-sensitive damage constant of the tool during the cutting edge impact phase. This represents the static critical compressive strength of the tool material at the cutting temperature. This represents the average cutting temperature. Indicates thermal activation energy. Indicates the number of cutting cycles. and Both represent exponential factors. Represents the dynamic load factor. , Indicates the reference frequency of the tool's vibration. The frequency of serrated chip formation, if it is a continuous chip, then ; Represents the load fluctuation coefficient , This represents the maximum value of the cutting force. This represents the minimum value of the cutting force. This represents the average cutting force. and All represent the fitting coefficients. This indicates the energy damage to the tool during the steady-state cutting phase. This represents the material-sensitive damage constant of the tool during the steady-state cutting phase. This indicates the energy damage to the tool during the cutting edge exiting the cutting stage. This represents the material-sensitive damage constant of the tool during the cutting edge exiting the cutting stage. It represents the static critical tensile strength of the tool material at the cutting temperature.

[0044] The process for setting the energy damage ratio constraint is as follows:

[0045]

[0046]

[0047] in, This represents the energy damage threshold of the tool during the cutting edge impact phase. This represents the energy damage threshold of the tool during the steady-state cutting phase. This represents the energy damage threshold of the tool during the cutting edge exiting the cutting stage.

[0048] Step S5: Perform simulation of the tool-workpiece-cutting three-dimensional model for each combination, and select the combination that satisfies the critical stress constraint and energy damage ratio constraint at each load stage as the cutting edge anti-breakage design parameter.

[0049] Based on the selected cutting edge anti-breakage design parameters, cutting experiments were conducted on actual machining equipment. Tool life was increased by 60% - 100% or more, machining stability was significantly improved, surface roughness was reduced by 30% - 50%, and machining efficiency was increased.

[0050] In one technical solution of the present invention, a computer-readable storage medium is also provided, storing a computer program that enables a computer to execute the multi-field coupled cutting edge anti-breakage design method of the present invention.

[0051] In one technical solution of the present invention, an electronic device is also provided, characterized in that it includes: a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein when the processor executes the computer program, it implements the multi-field coupling cutting edge anti-breakage design method of the present invention.

[0052] In the embodiments disclosed in this application, a computer storage medium may be a tangible medium that may contain or store programs for use by or in conjunction with an instruction execution system, apparatus, or device. The computer storage medium may include, but is not limited to, electronic, magnetic, optical, electromagnetic, infrared, or semiconductor systems, apparatus, or devices, or any suitable combination of the foregoing. More specific examples of computer storage media include electrical connections based on one or more wires, portable computer disks, hard disks, random access memory (RAM), read-only memory (ROM), erasable programmable read-only memory (EPROM or flash memory), optical fibers, portable compact disk read-only memory (CD-ROM), optical storage devices, magnetic storage devices, or any suitable combination of the foregoing.

[0053] Those skilled in the art will recognize that the units and algorithm steps of the various examples described in conjunction with the embodiments disclosed in this application can be implemented in electronic hardware or a combination of computer software and electronic hardware. Whether these functions are implemented in hardware or software depends on the specific application and design constraints of the technical solution. Those skilled in the art can use different methods to implement the described functions for each specific application, but such implementation should not be considered beyond the scope of this application.

[0054] The above are merely preferred embodiments of the present invention. The scope of protection of the present invention is not limited to the above embodiments. All technical solutions falling within the scope of the present invention's concept are within the scope of protection of the present invention. It should be noted that for those skilled in the art, any improvements and modifications made without departing from the principles of the present invention should be considered within the scope of protection of the present invention.

Claims

1. A multi-field coupled cutting edge anti-fracture design method, characterized in that, Includes the following steps: Step S1: Set a combination of material property parameters, machining process parameters and tool parameters for several workpieces to construct a three-dimensional model of tool-workpiece-cutting. Step S2: Based on the tool-workpiece-cutting three-dimensional model, simulate the three-dimensional cutting force of the tool cutting edge in real time, divide the load stages, and determine the critical stress of each combination and each load stage; Step S3: Determine the dynamic critical stress threshold of the tool material based on the vibration effect of the tool during the cutting process, and set the critical stress constraint conditions for each load stage based on the dynamic critical stress threshold of the tool material. Step S4: Determine the energy damage of the tool in each load stage for each combination, calculate the energy damage ratio, and set energy damage ratio constraints based on the energy damage ratio; Step S5: Perform simulation of the tool-workpiece-cutting three-dimensional model for each combination, and select the combination that satisfies the critical stress constraint and energy damage ratio constraint at each load stage as the cutting edge anti-breakage design parameter.

2. The multi-field coupled cutting edge anti-fracture design method according to claim 1, characterized in that, The tool parameters include: rake face rounding radius. flank radius The back face has a long rounded arc. and front corner and back corner Among them, the radius of the rake face rounding and the radius of the fillet face The range of values ​​is The back face has a long rounded arc. Front corner The value range is 0-30°, and the rear angle is... The value range is 5-35°. This represents the minimum safe arc length.

3. The multi-field coupled cutting edge anti-fracture design method according to claim 1, characterized in that, The machining process parameters include: machining type, cutting speed, feed rate, and depth of cut.

4. The multi-field coupled cutting edge anti-fracture design method according to claim 1, characterized in that, The tool-workpiece-cutting three-dimensional model also needs to set tool-workpiece contact model, tool-chip contact model, friction coefficient and fracture criterion parameters, and apply boundary conditions, including: workpiece fixing method, tool motion trajectory, thermodynamic boundary conditions and vibration load.

5. The multi-field coupled cutting edge anti-fracture design method according to claim 1, characterized in that, The load phase includes: the cutting edge entry impact phase, the cutting edge steady-state cutting phase, and the cutting edge exit phase; The critical stress obtained during the cutting edge impact phase is the maximum compressive stress of the cutting edge. ; The critical stress obtained from the steady-state cutting stage of the cutting edge is the maximum shear stress of the cutting edge. ; The critical stress obtained during the cutting stage is the maximum tensile stress in the normal direction of the cutting edge. .

6. The multi-field coupled cutting edge anti-fracture design method according to claim 5, characterized in that, The specific constraint conditions for the critical stress in each loading stage are as follows: in, This indicates the critical compressive stress threshold of the tool material. , This represents the static critical compressive strength of the tool material at the cutting temperature. Indicates the dynamic correction factor for the tool material; This indicates the critical tangential stress threshold of the tool material. , This represents the static critical shear stress intensity of the tool material at the cutting temperature. This indicates the critical tensile stress threshold of the tool material. , It represents the static critical tensile strength of the tool material at the cutting temperature.

7. The multi-field coupled cutting edge anti-fracture design method according to claim 6, characterized in that, The dynamic correction coefficient of the tool material The calculation process is as follows: in, This indicates the vibration influence factor of the tool material. , This indicates the vibration amplitude of the cutting tool. This indicates the reference amplitude of the tool vibration. Indicates the vibration frequency of the cutting tool. Indicates the reference frequency of the tool's vibration. Represents the frequency weighting index. Indicates the directional weighting factor; and All of these represent the fitted parameters.

8. The multi-field coupled cutting edge anti-fracture design method according to claim 5, characterized in that, The process for determining the energy damage of the tool at each load stage is as follows: in, This indicates the energy damage to the tool during the cutting edge impact phase. This represents the material-sensitive damage constant of the tool during the cutting edge impact phase. This represents the static critical compressive strength of the tool material at the cutting temperature. This represents the average cutting temperature. Indicates thermal activation energy. Indicates the number of cutting cycles. and Both represent exponential factors. Represents the dynamic load factor. , Indicates the reference frequency of the tool's vibration. Indicates the frequency of serrated chip formation. Indicates the load fluctuation coefficient. and All represent the fitting coefficients. This indicates the energy damage to the tool during the steady-state cutting phase. This represents the material-sensitive damage constant of the tool during the steady-state cutting phase. This indicates the energy damage to the tool during the cutting edge exiting the cutting stage. This represents the material-sensitive damage constant of the tool during the cutting edge exiting the cutting stage. It represents the static critical tensile strength of the tool material at the cutting temperature.

9. The multi-field coupled cutting edge anti-fracture design method according to claim 8, characterized in that, The process for setting the energy damage ratio constraint is as follows: in, This represents the energy damage threshold of the tool during the cutting edge impact phase. This represents the energy damage threshold of the tool during the steady-state cutting phase. This represents the energy damage threshold of the tool during the cutting edge exiting the cutting stage.