Single-point processing analysis method for face-centered cubic crystal material based on slip system

Abstract

The invention discloses a single-point machining analysis method for a face-centered cubic crystal material based on a slip system, and relates to the technical field of face-centered cubic crystal material machining. The method comprises the steps of establishment of a face-centered cubic crystal material slippage system, calculation of the slippage direction weight of the face-centered cubic crystal material, establishment of a slippage plane of the face-centered cubic crystal material, establishment of a single-point machining face-centered cubic crystal material slippage plane, establishment of a single-point machining material removal model and calculation of a single-point machining material removal result criterion. On the basis of slip system characteristics of a face-centered cubic crystal material, slip plane evolution of the material in single-point machining can be effectively analyzed by establishing a conversion model between a standard slip matrix and a coordinate system model, and a removal result is obtained by comprehensively calculating a slip direction, a removal model and a removal result criterion. The machining precision of the face-centered cubic crystal material can be remarkably improved, the uncertainty in the material removing process is reduced, and the machining cost and the experiment difficulty can be reduced.

Description

Technical Field

[0001] The invention relates to the technical field of face-centered cubic crystal material processing, in particular to a single-point processing analysis method of face-centered cubic crystal material based on a slip system. Background Art

[0002] Face-centered cubic crystal materials play a key role in the field of modern precision manufacturing, especially in cutting-edge manufacturing applications such as ultra-precision machining and nanoscale material removal. However, due to the complex microstructure of face-centered cubic crystal materials and the existence of slip systems, the material removal mechanism and processing performance during single-point processing show significant nonlinear characteristics. This nonlinear characteristic makes it particularly difficult to accurately predict and optimize the processing behavior of crystal materials.

[0003] Based on the above problems, the present invention achieves accurate simulation and prediction of material removal behavior during single-point processing by constructing a slip system model of crystal materials, calculating the weight of the slip direction, and establishing a removal model for processed materials. It combines the microstructural characteristics of face-centered cubic crystal materials and solves the limitations of traditional processing methods when facing complex crystal structures through systematic analysis steps. In addition, by calculating the relationship between the slip plane of the material and the single-point processing direction, a material removal criterion is proposed, which can effectively improve the accuracy and efficiency of single-point processing and avoid the high cost and high complexity of design and optimization in traditional experiments and simulations. Summary of the invention

[0004] In order to solve the problems of complex material removal mechanism, high machining accuracy requirement and great difficulty in crystal slip system analysis faced in the single-point machining process of face-centered cubic crystal materials, the present invention provides a single-point machining analysis method of face-centered cubic crystal materials based on slip system. Based on the slip system characteristics of face-centered cubic crystal materials, by establishing a conversion model between a standard slip matrix and a coordinate system model, the slip plane evolution of the material in single-point machining can be effectively analyzed. By comprehensively calculating the slip direction, removal model and removal result criterion, the machining accuracy of face-centered cubic crystal materials can be significantly improved, the uncertainty in the material removal process can be reduced, and it is helpful to reduce machining costs and experimental difficulty.

[0005] To achieve the above object, the present invention adopts the following technical solution: a single-point processing analysis method for face-centered cubic crystal materials based on slip system, comprising the following steps:

[0006] Step 1: Establishment of slip system of face-centered cubic crystal material

[0007] Establish the standard slip matrix s of standard face-centered cubic crystal materials 3×12 , the corresponding X-axis, Y-axis and Z-axis are the crystal directions of standard face-centered cubic crystal materials, including 12 slip directions si ;

[0008] Establish a coordinate system model of the face-centered cubic crystal material to be analyzed, which includes Miller vector Z, direction vector N0 and single-point processing direction N. The direction of the coordinate system is determined according to Miller vector Z and direction vector N0. The single-point processing direction N is orthogonal to Miller vector Z, and there is an angle θ between the single-point processing direction N and the direction vector N0.

[0009] Establish the standard slip matrix s 3×12 The transformation model between the coordinate system model and then construct the transformation matrix P 3×3 , realize the standard sliding matrix s 3×12 Slide matrix s into the coordinate system model p3×12 The transformation corresponds to the sliding matrix s in the generated coordinate system model p3×12 The 12 analyzed slip directions pi ;

[0010] Step 2: Calculation of slip direction weight of face-centered cubic crystal material

[0011] For the slip matrix s in the coordinate system model p3×12 Activation capacity criterion analysis was performed, 12 slip directions were analyzed pi Corresponding to 12 activation ability values ​​Q i , activate ability value Q i It includes two criteria: Criterion Q i 1 and Criteria

[0012] Criteria The single-point machining force F and the slip direction s to be analyzed pi The angle β i It means that it involves the single-point machining tool radius R, single-point machining depth H and criterion constant C1;

[0013] Criteria The slip direction s is used pi The component represents the slip direction s of the surface being analyzed. pi The critical value m and criterion constant C2 of influence;

[0014] Step 3: Establish the slip plane of face-centered cubic crystal material

[0015] Standard slip matrix s 3×12 12 slip directions i There are corresponding standard slip systems S i , and the standard slip system S i Including 1 slip direction s i and two standard direction vectors s that are orthogonal to it i1and the standard direction vector s i2 ;

[0016] Slip matrix s in the coordinate system model p3×12 There are corresponding sets of analyzed slip systems A i , and the analyzed slip system set A i Includes 1 slip direction s to be analyzed pi and two orthogonal direction vectors a to be analyzed i1 and a i2 ;

[0017] Construct the analyzed slip system set A i The corresponding two analyzed slip systems A i1 and A i2 The relationship between the tangent plane equation and the single-point machining tool involves the coordinates of the tangent point;

[0018] Step 4: Single-point processing face-centered cubic crystal material slip plane establishment

[0019] The slip surface model is established according to the relationship of the section equation, and the geometric contour equation of the single-point machining tool in the machining reference system is used as a constraint to analyze the two analyzed slip systems A. i1 and A i2 Solve to obtain the coordinates of the tangent point contained in the tangent plane equation relationship and the analytical solutions of the two analyzed slip systems;

[0020] Step 5: Single-point machining material removal model establishment

[0021] Construct the slip direction s to be analyzed pi Corresponding single point machining offset L i The plowing amount W is 1 / 2 of the plowing width in the single-point processing process, and the single-point processing offset L is used. i and the plowing amount W to construct the removal judgment coefficient K i , construct a single-point machining material removal model to predict the material removal behavior during single-point machining;

[0022] Step 6: Calculation of single-point machining material removal result criteria

[0023] Using the removal judgment coefficient K i The differential parameters of the single-point machining tool radius R and the single-point machining depth H are subjected to partial differential operation and partial differential analysis. According to the partial differential analysis results, the corresponding analyzed slip direction s under the coordinate system model is obtained. pi The single-point material processing results are analyzed, and the influence weight of the single-point processing tool radius R and the single-point processing depth H on the processing results is analyzed.

[0024] Furthermore, in step 1:

[0025] Standard slip matrix s 3×12 It is expressed as follows:

[0026]

[0027] The Miller vector Z is represented by (u, v, w), and the direction vector N0 is represented by (n 10 ,n 20 ,n 30 ), the single-point processing direction N is expressed as (n1, n2, n3), where the direction vector N0 and the single-point processing direction N are located on the surface of the coordinate system model. The direction of the coordinate system is determined according to the Miller vector Z and the direction vector N0 of the face-centered cubic crystal material being analyzed, and the direction vector N0 and the Miller vector Z are orthogonal, and have the following relationship:

[0028] un 10 +vn 20 +wn 30 =0

[0029] The single-point processing direction N is orthogonal to the Miller vector Z. There is an angle θ between the single-point processing direction N and the direction vector N0, and the relationship is as follows:

[0030]

[0031] Let the Y-axis direction in the coordinate system model be opposite to the single-point machining direction N. Based on the X-axis, Y-axis and Z-axis of the coordinate system model, a right-handed coordinate system is formed. The standard slip matrix s 3×12 Slide matrix s into the coordinate system model p3×12 The conversion is expressed as follows:

[0032]

[0033] in, represents the slip direction s being analyzed pi The amount.

[0034] Furthermore, in step 2:

[0035] Criteria and Criteria They are respectively expressed as follows:

[0036]

[0037]

[0038] Activation ability value Q i It is expressed as follows:

[0039]

[0040] Where, E = [0-H / 2(RH)1 / 2 –(R 2 -(RH) 2 ) 1 / 2 / 2(RH) 1 / 2 ], which is the single-point machining tool parameter matrix.

[0041] Furthermore, in step three:

[0042] Standard slip system S i It is expressed as follows:

[0043]

[0044] The set of slip systems to be analyzed is A i It is expressed as follows:

[0045]

[0046] The set of slip systems to be analyzed is A i The corresponding two analyzed slip systems A i1 and A i2 The relationship with the section equation of the single-point machining tool is as follows:

[0047]

[0048] Among them, (x i10 ,y i10 ,z i10 ) and (x i20 ,y i20 ,z i20 ) are the coordinates of the tangent point.

[0049] Furthermore, the step 4 specifically includes:

[0050] S4.1. Establish the geometric profile equation of the single-point machining tool in the machining reference system, expressed as follows:

[0051] x 2 +y 2 +(z-R+H) 2 =R 2

[0052] Used to describe the shape and machining profile of single-point machining tools;

[0053] S4.2, the tangent point coordinates are determined based on the single-point machining tool radius R and the single-point machining depth H. There are two different situations, which describe the tangent point positions under different conditions, as shown below:

[0054] Case 1:

[0055]

[0056] Case 2:

[0057]

[0058] Where j = 1, 2.

[0059] S4.3、Analyzed slip system A i1 and A i2 According to the analysis of the single-point machining tool radius R and the single-point machining depth H, there are also two different situations, as shown below:

[0060] Case 1,

[0061] Case 2,

[0062] Where j = 1, 2.

[0063] Analyzed slip system A ij Represented as A ij =A ij (R,H,θ,N,N0), i=1,2...12, j=1,2.

[0064] Furthermore, in step 5:

[0065] Single point machining offset L i It is expressed as follows:

[0066]

[0067] Among them, (A i1 ,B i1 ,C i1 ,)=(a i11 ,a i12 ,a i13 ), (A i2 ,B i2 ,C i2 ,)=(a i21 ,a i22 ,a i23 ), i=1,2…12;

[0068] Removal of judgment coefficient K i =L i / W=K i (R,H,θ,N,N0).

[0069] Furthermore, in step six:

[0070] The calculation formula for partial differential operation is as follows:

[0071]

[0072] The partial differential analysis calculation formula is as follows:

[0073]

[0074] Compared with the prior art, the beneficial effects of the present invention are as follows: based on the slip system characteristics of face-centered cubic crystal materials, the present invention establishes a slip system model of face-centered cubic crystal materials, calculates the weight of the slip direction, and combines the material removal model and criteria in the single-point processing process to optimize the analysis of the processing results. The behavior of face-centered cubic crystal materials in single-point processing can be systematically analyzed. By establishing a conversion model between the standard slip matrix and the coordinate system model, the evolution of the slip surface of the material in single-point processing can be effectively analyzed. Through the comprehensive calculation of the slip direction, removal model and removal result criterion, the processing accuracy of the face-centered cubic crystal material can be significantly improved, and the uncertainty in the material removal process can be reduced. Under different processing parameters such as processing depth and tool radius, the material removal characteristics can be effectively analyzed and predicted, the experimental requirements can be effectively reduced, and the overall processing efficiency can be improved while ensuring the processing accuracy, which helps to reduce the processing cost and experimental difficulty. BRIEF DESCRIPTION OF THE DRAWINGS

[0075] Figure 1 It is a flow chart of the single-point processing and analysis method of face-centered cubic crystal material of the present invention;

[0076] Figure 2 Schematic diagram of the standard slip matrix of the standard face-centered cubic crystal material in the method of the present invention;

[0077] Figure 3 It is a schematic diagram of the coordinate system model of the face-centered cubic crystal material analyzed in the method of the present invention;

[0078] Figure 4 It is a schematic diagram of the single-point machining offset corresponding to the slip direction analyzed in the method of the present invention. DETAILED DESCRIPTION

[0079] The technical solution of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the invention, rather than all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without making creative work are within the scope of protection of the present invention.

[0080] like Figure 1 to Figure 4 As shown in the figure, a single-point processing analysis method for face-centered cubic crystal materials based on slip system is combined with Figure 1 As shown, the following steps are included:

[0081] Step 1: Establishment of slip system of face-centered cubic crystal material

[0082] S1.1. Establish the standard slip matrix s of standard face-centered cubic crystal material 3×12 , combined with Figure 2 As shown in the figure, the X-axis, Y-axis and Z-axis corresponding to the standard slip matrix are the

[100] ,

[010] and

[001] crystal directions of the standard face-centered cubic crystal material, including s1-s 12 A total of 12

[110] slip directions s i , which is expressed as follows:

[0083]

[0084] S1.2. Establish the coordinate system model of the face-centered cubic crystal material to be analyzed, combined with Figure 3 As shown, the coordinate system model includes the Miller vector Z(u,v,w), the direction vector N0(n 10 ,n 20 ,n 30 ) and the single-point processing direction N (n1, n2, n3), where the direction vector N0 and the single-point processing direction N are located on the surface of the coordinate system model. The direction of the coordinate system is determined according to the Miller vector Z and the direction vector N0 of the face-centered cubic crystal material being analyzed, and the direction vector N0 and the Miller vector Z are orthogonal, and have the following relationship:

[0085] un 10 +vn 20 +wn 30 =0

[0086] S1.3, the single-point processing direction N and the Miller vector Z are orthogonal, and there is an angle θ between the single-point processing direction N and the direction vector N0, and the relationship is as follows:

[0087]

[0088] S1.4. Establishing the standard slip matrix s 3×12 The conversion model between the coordinate system model makes the Y-axis direction in the coordinate system model opposite to the single-point processing direction N. A right-handed coordinate system is formed based on the X-axis, Y-axis and Z-axis of the coordinate system model, and then the transformation matrix P is constructed. 3×3 , which is expressed as follows:

[0089]

[0090] S1.5, based on the transformation matrix P 3×3 Implement the standard sliding matrix s 3×12 Slide matrix s into the coordinate system model p3×12 The conversion is expressed as follows:

[0091]

[0092] That is, the 12 analyzed slip directions s corresponding to the coordinate system model pi It constitutes the slip matrix s in the coordinate system model p3×12 .

[0093] Step 2: Calculation of slip direction weight of face-centered cubic crystal material

[0094] S2.1. Slip matrix s in the coordinate system model p3×12 The activation capacity criterion analysis was performed, in which 12 slip directions were analyzed. pi Corresponding to 12 activation ability values ​​Q respectively i , activate ability value Q i It includes two criteria: and Activation ability value Q i and Criteria and Criteria The relationship is as follows:

[0095]

[0096] S2.2. Judgment The single-point machining force F and the slip direction s to be analyzed pi The angle β i It is expressed as follows:

[0097]

[0098] In the formula, C1 is the criterion constant, E = [0-H / 2(RH) 1 / 2 –(R 2 -(RH) 2 ) 1 / 2 / 2(RH) 1 / 2 ], is the single-point machining tool parameter matrix, R is the single-point machining tool radius, and H is the single-point machining depth;

[0099] S2.3, Criteria Q i 2 The slip direction s is used pi The amount It is expressed as follows:

[0100]

[0101] Where C2 is the criterion constant, m is the slip direction s of the surface to be analyzed pi The critical value of impact;

[0102] S2.4, Activation Ability Value Q i It is expressed as follows:

[0103]

[0104] Since the slip direction s is analyzed pi is a function of the direction vector N0 and the single-point processing direction N, and the angle β i is a function of the tool parameter matrix for single-point machining, the slip direction s to be analyzed pi The corresponding 12 activation ability values ​​Qi are represented by Q i =Q i (R,H,θ,N,N0).

[0105] Step 3: Establish the slip plane of face-centered cubic crystal material

[0106] S3.1. Standard slip matrix s 3×12 The 12

[110] slip directions s i There are corresponding standard slip systems S i , and the standard slip system S i Including 1 slip direction s i and two standard direction vectors s that are orthogonal to it i1 and the standard direction vector s i2 , which is expressed as follows:

[0107]

[0108] S3.2. Slip matrix s in the coordinate system model p3×12 There are corresponding sets of analyzed slip systems A i , and the analyzed slip system set A i Includes 1 slip direction s to be analyzed pi and two orthogonal direction vectors a to be analyzed i1 and a i2 , which is expressed as follows:

[0109]

[0110] S3.3. Construct the set of slip systems to be analyzed A i The corresponding two analyzed slip systems A i1 and A i2 The relationship with the section equation of the single-point machining tool is as follows:

[0111]

[0112] Among them, (x i10 ,y i10 ,z i10 ) and (x i20 ,y i20 ,z i20 ) are the coordinates of the tangent point.

[0113] Step 4: Single-point processing face-centered cubic crystal material slip plane establishment

[0114] The slip surface model is established according to the relationship of the section equation, and the geometric contour equation of the single-point machining tool in the machining reference system is used as a constraint to analyze the two analyzed slip systems A. i1 and A i2 Solve and obtain the coordinates of the tangent point and the analytical solutions of the two slip systems being analyzed, specifically:

[0115] S4.1. Establish the geometric profile equation of the single-point machining tool in the machining reference system, expressed as follows:

[0116] x 2 +y 2 +(z-R+H) 2 =R 2

[0117] Used to describe the shape and machining profile of single-point machining tools;

[0118] S4.2, the tangent point coordinates are determined based on the single-point machining tool radius R and the single-point machining depth H. There are two different situations, which describe the tangent point positions under different conditions, as shown below:

[0119] Case 1:

[0120]

[0121] Case 2:

[0122]

[0123] Where j = 1, 2.

[0124] S4.3、Analyzed slip system A i1 and A i2 According to the analysis of the single-point machining tool radius R and the single-point machining depth H, there are also two different situations, as shown below:

[0125] Case 1,

[0126] Case 2,

[0127] Where j = 1, 2.

[0128] Since the two analyzed direction vectors a i1 and a i2 is a function of the direction vector N0 and the single-point machining direction N. The analyzed slip system A ij Represented as Aij =A ij (R,H,θ,N,N0), i=1,2...12, j=1,2.

[0129] Step 5: Single-point machining material removal model establishment

[0130] S5.1. Construct the slip direction s to be analyzed pi Corresponding single point machining offset L i , combined with Figure 4 As shown, the single point machining offset L i It is expressed as follows:

[0131]

[0132] Among them, (A i1 ,B i1 ,C i1 ,)=(a i11 ,a i12 ,a i13 ), (A i2 ,B i2 ,C i2 ,)=(a i21 ,a i22 ,a i23 ), i=1,2…12;

[0133] S5.2, single point machining offset L i and the plowing amount W to construct the removal judgment coefficient K i , a single-point processing material removal model is constructed to predict the material removal behavior during single-point processing. The plowing amount W is 1 / 2 of the plowing width during single-point processing, and the removal judgment coefficient K i It is expressed as follows:

[0134] K i =L i / W=K i (R,H,θ,N,N0)

[0135] Step 6: Calculation of single-point machining material removal result criteria

[0136] S6.1, use the removal judgment coefficient K i Perform partial differential operations on the differential parameters of the single-point machining tool radius R and the single-point machining depth H to determine their influence on the machining process. The calculation formula is as follows:

[0137]

[0138]

[0139] S6.2. Perform partial differential analysis to analyze the influence of the single-point machining tool radius R and the single-point machining depth H on the machining results. The calculation formula is as follows:

[0140]

[0141] S6.3. According to the partial differential analysis results, we obtain the Miller vector Z(u,v,w) and the direction vector N0(n 10 ,n 20 ,n 30 ) and the single-point machining direction N(n1, n2, n3), the corresponding slip direction s to be analyzed pi The single-point material processing results are analyzed, and the influence weight of the single-point processing tool radius R and the single-point processing depth H on the processing results is analyzed.

[0142] It will be apparent to those skilled in the art that the invention is not limited to the details of the exemplary embodiments described above and that the invention can be implemented in other forms of assembly without departing from the spirit or essential features of the invention. Therefore, the embodiments should be considered in all respects as exemplary and non-restrictive, and the scope of the invention is defined by the appended claims rather than the foregoing description, and it is intended that all variations within the meaning and range of equivalents of the claims be included in the invention. Any reference numeral in a claim should not be considered as limiting the claim to which it relates.

[0143] In addition, it should be understood that although the present specification is described according to implementation modes, not every implementation mode contains only one independent technical solution. This description of the specification is only for the sake of clarity. Those skilled in the art should regard the specification as a whole. The technical solutions in each embodiment may also be appropriately combined to form other implementation modes that can be understood by those skilled in the art.

Claims

1. A single-point processing analysis method for face-centered cubic crystal materials based on slip system, characterized in that: The following steps are involved: Step 1: Establishment of slip system of face-centered cubic crystal material Establish the standard slip matrix s of standard face-centered cubic crystal materials 3×12 , the corresponding X-axis, Y-axis and Z-axis are the crystal directions of standard face-centered cubic crystal materials, including 12 slip directions s i ; Establish a coordinate system model of the face-centered cubic crystal material to be analyzed, which includes Miller vector Z, direction vector N0 and single-point processing direction N. The direction of the coordinate system is determined according to Miller vector Z and direction vector N0. The single-point processing direction N is orthogonal to Miller vector Z, and there is an angle θ between the single-point processing direction N and the direction vector N0. Establish the standard slip matrix s 3×12 The transformation model between the coordinate system model and then construct the transformation matrix P 3×3 , realize the standard sliding matrix s 3×12 Slide matrix s into the coordinate system model p3×12 The transformation corresponds to the sliding matrix s in the generated coordinate system model p3×12 The 12 analyzed slip directions pi ; Step 2: Calculation of slip direction weight of face-centered cubic crystal material For the slip matrix s in the coordinate system model p3×12 Activation capacity criterion analysis was performed, 12 slip directions were analyzed pi Corresponding to 12 activation ability values ​​Q i , activate ability value Q i It includes two criteria: Criterion Q i 1 and Criteria Criteria The single-point machining force F and the slip direction s to be analyzed pi The angle β i It means that it involves the single-point machining tool radius R, single-point machining depth H and criterion constant C1; Criteria The slip direction s is used pi The component represents the slip direction s of the surface being analyzed. pi The critical value m and criterion constant C2 of influence; Step 3: Establish the slip plane of face-centered cubic crystal material Standard slip matrix s 3×12 12 slip directions i There are corresponding standard slip systems S i , and the standard slip system S i Including 1 slip direction s i and two standard direction vectors s that are orthogonal to it i1 and the standard direction vector s i2 ; Slip matrix s in the coordinate system model p3×12 There are corresponding sets of analyzed slip systems A i , and the analyzed slip system set A i Includes 1 slip direction s to be analyzed pi and two orthogonal direction vectors a to be analyzed i1 and a i2 ; Construct the analyzed slip system set A i The corresponding two analyzed slip systems A i1 and A i2 The relationship between the tangent plane equation and the single-point machining tool involves the coordinates of the tangent point; Step 4: Single-point processing face-centered cubic crystal material slip plane establishment The slip surface model is established according to the relationship of the section equation, and the geometric contour equation of the single-point machining tool in the machining reference system is used as a constraint to analyze the two analyzed slip systems A. i1 and A i2 Solve to obtain the coordinates of the tangent point contained in the tangent plane equation relationship and the analytical solutions of the two analyzed slip systems; Step 5: Single-point machining material removal model establishment Construct the slip direction s to be analyzed pi Corresponding single point machining offset L i The plowing amount W is 1 / 2 of the plowing width in the single-point processing process, and the single-point processing offset L is used. i and the plowing amount W to construct the removal judgment coefficient K i , construct a single-point machining material removal model to predict the material removal behavior during single-point machining; Step 6: Calculation of single-point machining material removal result criteria Using the removal judgment coefficient K i The differential parameters of the single-point machining tool radius R and the single-point machining depth H are subjected to partial differential operation and partial differential analysis. According to the partial differential analysis results, the corresponding analyzed slip direction s under the coordinate system model is obtained. pi The single-point material processing results are analyzed, and the influence weight of the single-point processing tool radius R and the single-point processing depth H on the processing results is analyzed.

2. The single-point processing analysis method for face-centered cubic crystal materials based on slip system according to claim 1, characterized in that: In the step 1: Standard slip matrix s 3×12 It is expressed as follows: The Miller vector Z is represented by (u, v, w), and the direction vector N0 is represented by (n 10 ,n 20 ,n 30 ), the single-point processing direction N is expressed as (n1, n2, n3), where the direction vector N0 and the single-point processing direction N are located on the surface of the coordinate system model. The direction of the coordinate system is determined according to the Miller vector Z and the direction vector N0 of the face-centered cubic crystal material being analyzed, and the direction vector N0 and the Miller vector Z are orthogonal, and have the following relationship: one 10 +vn 20 +wn 30 =0 The single-point processing direction N is orthogonal to the Miller vector Z. There is an angle θ between the single-point processing direction N and the direction vector N0, and the relationship is as follows: Let the Y-axis direction in the coordinate system model be opposite to the single-point machining direction N. Based on the X-axis, Y-axis and Z-axis of the coordinate system model, a right-handed coordinate system is formed. The standard slip matrix s 3×12 Slide matrix s into the coordinate system model p3×12 The conversion is expressed as follows: in, represents the slip direction s being analyzed pi The amount.

3. The single-point processing analysis method for face-centered cubic crystal materials based on slip system according to claim 2 is characterized in that: In the step 2: Criteria and Criteria They are respectively expressed as follows: Activation ability value Q i It is expressed as follows: Where, E = [0-H / 2(RH) 1 / 2 –(R 2 -(RH) 2 ) 1 / 2 / 2(RH) 1 / 2 ], which is the single-point machining tool parameter matrix.

4. The single-point processing analysis method for face-centered cubic crystal materials based on slip system according to claim 3 is characterized in that: In the step three: Standard slip system S i It is expressed as follows: The set of slip systems to be analyzed is A i It is expressed as follows: The set of slip systems to be analyzed is A i The corresponding two analyzed slip systems A i1 and A i2 The relationship with the section equation of the single-point machining tool is as follows: Among them, (x i10 ,y i10 ,z i10 ) and (x i20 ,y i20 ,z i20 ) are the coordinates of the tangent point.

5. The single-point processing analysis method for face-centered cubic crystal materials based on slip system according to claim 4 is characterized in that: The step 4 specifically includes: S4.

1. Establish the geometric profile equation of the single-point machining tool in the machining reference system, expressed as follows: x 2 +y 2 +(z-R+H) 2 =R 2 Used to describe the shape and machining profile of single-point machining tools; S4.2, the tangent point coordinates are determined based on the single-point machining tool radius R and the single-point machining depth H. There are two different situations, which describe the tangent point positions under different conditions, as shown below: Case 1: Case 2: Where j = 1, 2. S4.3、Analyzed slip system A i1 and A i2 According to the analysis of the single-point machining tool radius R and the single-point machining depth H, there are also two different situations, as shown below: Case 1, Case 2, Where j = 1, 2. Analyzed slip system A ij Indicated as A ij =A ij (R,H,θ,N,N0), i=1,2...12, j=1,2.

6. The single-point processing analysis method for face-centered cubic crystal materials based on slip system according to claim 5, characterized in that: In the step 5: Single point machining offset L i It is expressed as follows: Among them, (A i1 , B i1 , C i1 ,) = (a i11 , a i12 , a i13 ), (A i2 , B i2 , C i2 ,) = (a i21 , a i22 , a i23 ), i = 1, 2…12; Removal of judgment coefficient K i =L i / W=K i (R,H,θ,N,N0).

7. The single-point processing analysis method for face-centered cubic crystal materials based on slip system according to claim 6, characterized in that: In step six: The calculation formula for partial differential operation is as follows: The partial differential analysis calculation formula is as follows:

Images