A cell hybridization method, device, equipment and application based on minimal surfaces
Through the extremely small surface unit cell hybridization method, the surface parameters are adjusted by combining the trigonometric function terms and surface characteristics of different unit cell structures, the stress concentration problem of porous scaffolds is solved, and the high mechanical properties and good pore connectivity of the scaffolds are achieved.
Patent Information
- Application Number
- CN202211158307.5
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2022-09-22
- Publication Date
- 2025-08-22
- Estimated Expiration
- 2042-09-22
AI Technical Summary
In the prior art, porous biomedical scaffolds have problems of stress concentration and early failure in stress distribution analysis and additive manufacturing molding, and it is difficult to have strong mechanical properties while ensuring large surface area and good pore connectivity.
The unit cell hybridization method based on a very small surface is adopted. By modifying the trigonometric function term of the first unit cell structure, combining the characteristics of the second unit cell structure, adjusting the surface structure period and threshold constant, generating unit cell cells, and using 3D printing technology to manufacture the target parts.
While maintaining large surface area and good pore connectivity, the mechanical properties of the stent are enhanced, the failure caused by stress concentration is avoided, and the complex porous structure of the human bone structure is adapted to.
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Figure CN115579082B_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to the technical field of computer-aided design and additive manufacturing, and in particular to a unit cell hybridization method, device, equipment and application based on minimal surfaces. Background Art
[0002] In order to obtain the performance required for an ideal biomedical scaffold, porous structures stand out. They have the characteristics of large specific surface area and low density, which can avoid problems such as stress shielding. At the same time, the surface of the porous structure can be modified or filled with active substances such as cells and growth factors. With the development of 3D printing, it has become possible to break through the traditional design methods based on subtractive manufacturing and realize the design, manufacturing and application of personalized porous structures. With the excellent mechanical properties of the lattice structure, researchers have carried out a large number of design, manufacturing attempts and performance evaluations. However, in the stress distribution analysis and additive manufacturing process, the traditional lattice structure shows problems such as premature stress concentration under external loads, and early failure due to the constraints of the 3D printing technology principles.
[0003] The Triply Periodic Minimal Surface (TPMS) structure, with its zero average curvature, reduces stress concentration and boasts 100% internal penetration, enabling higher weight reduction targets without sacrificing porosity. It is a superior porous structural model. Furthermore, this structure maintains stable self-supporting capabilities and a relatively consistent cross-sectional area during additive manufacturing, offering improved printability.
[0004] Currently, porous scaffolds based on traditional lattice structures include cubes. These structures are easy to model and have controllable parameters, but they differ significantly from human bone structure and are prone to stress concentration. Another type of porous scaffold is the body-centered cubic and face-centered cubic truss structures. These structures have good energy absorption but still cause stress concentration. Compared with traditional lattice structures, scaffolds based on minimal surface designs have larger surface area and better pore connectivity, but excessive porosity leads to weaker mechanical properties.
[0005] From the above, it can be seen that how to ensure that the scaffold has a larger surface area and better pore connectivity while making the scaffold have stronger mechanical properties is a problem that needs to be solved. Summary of the Invention
[0006] The purpose of the present invention is to provide a cell hybridization method, device, equipment and application based on minimal surfaces to solve the technical problem in the prior art that stress concentration is easily generated in the transition zone when surfaces are combined, resulting in part failure.
[0007] To solve the above technical problems, the present invention provides a unit cell hybridization method based on minimal surfaces, comprising:
[0008] Selecting a first unit cell structure and a second unit cell structure to be hybridized;
[0009] Based on the second unit cell structure characteristics, the trigonometric function term of the first unit cell structure primitive function is modified to obtain a monomer unit cell structure formed by hybridizing the first unit cell structure and the second unit cell structure;
[0010] Constructing a unit hybrid model for filling, and obtaining a unit cell of a desired size by adjusting a surface structure period k and a surface threshold constant C of the unit hybrid model;
[0011] Based on the target part structure, a target model is constructed, and the unit cells are used for reorganization and filling to generate the target part;
[0012] The target part is exported into an STL file using 3D design software and sliced, and the target part is printed using 3D printing technology.
[0013] Preferably, the modifying of the trigonometric function terms of the first unit cell structure primitive function based on the second unit cell structure characteristics comprises:
[0014] The trigonometric function characteristic terms of the second unit cell structure are added to the trigonometric functions of the first unit cell structure to obtain a first unit cell structure having the minimal surface characteristics of the second unit cell structure.
[0015] Preferably, the first unit cell function expression is:
[0016] F(x, y, z) = f TPMS (x, y, z) + C
[0017] The f TPMS (x, y, z) includes:
[0018]
[0019]
[0020] Among them, k is the surface structure period, C is the surface threshold constant, x, y, z are function variables, f TPMS (x, y, z) is or or
[0021] By adding the trigonometric function characteristic term of the second unit cell structure, the changed first unit cell structure is obtained.
[0022] Preferably, the step of adjusting the surface structure period k and the surface threshold constant C of the unit hybrid model to obtain a unit cell of a desired size comprises:
[0023] The unit cell is obtained by adjusting the number of unit cells in the unit hybrid model by adjusting the surface structure period k, and adjusting the aperture gradient structure of the unit hybrid model in one direction or two directions by adjusting the surface threshold constant C.
[0024] Preferably, the step of selecting the first unit cell structure and the second unit cell structure to be hybridized includes:
[0025] Set the interval range [x, y, z] = meshgrid(-pi:0.1:pi), where meshgrid is a function of the grid sampling points;
[0026] In the set interval range, a plot point is taken every 0.1 length within a cube with a length of 2pi.
[0027] Preferably, the step of constructing a target model based on the target part structure and reorganizing and filling the unit cells to generate the target part comprises:
[0028] The unit cells are crystallized, and thickness is given to the target model. The target model is reorganized and filled with the crystallized unit cells to obtain a hybrid porous structure and generate a target part.
[0029] Preferably, the porosity of the hybrid porous structure is expressed as the percentage of the volume of the pores inside the material to the total volume, and the calculation formula is:
[0030]
[0031] Where P is the porosity of the porous structure, v P is the target part volume, and v is the total volume of the filled part.
[0032] The present invention also provides a unit cell hybridization device based on minimal surfaces, comprising:
[0033] A unit cell acquisition module, used for selecting a first unit cell structure and a second unit cell structure to be hybridized;
[0034] a unit cell hybridization module, configured to modify the trigonometric function terms of the first unit cell structure primitive function based on the second unit cell structure characteristics to obtain a monomer unit cell structure hybridized by the first unit cell structure and the second unit cell structure;
[0035] The unit cell generation module obtains the unit cell of the required size by adjusting the surface structure period k and the surface threshold constant C;
[0036] A target part generation module is configured to generate a target part by reorganizing and filling the unit cells;
[0037] The 3D printing module is used to export the target part into an STL file using 3D design software and slice the file, and print the target part using 3D printing technology.
[0038] The present invention also provides a unit cell hybridization device based on minimal surfaces, comprising:
[0039] memory for storing computer programs;
[0040] A processor is used to implement the steps of a unit cell hybridization method based on minimal surfaces when executing the computer program.
[0041] The present invention also provides an application of the above-mentioned minimal surface-based unit cell hybridization method in biomedical scaffolds.
[0042] The present invention provides a minimal surface-based unit cell hybridization method, which modifies the trigonometric function terms of the primitive function of the first unit cell structure based on the structural characteristics of the second unit cell to obtain a monomer unit cell structure hybridized by the first unit cell structure and the second unit cell structure. By changing the functions of different minimal surface primitive unit cells and combining the advantages of different types of unit cells, a new topological structure with balanced porosity and mechanical properties is obtained, which overcomes the problem that the new unit cell is prone to failure in the transition zone, and achieves the goal of ensuring that the bracket has a larger surface area and better pore connectivity while making the bracket have stronger mechanical properties. BRIEF DESCRIPTION OF THE DRAWINGS
[0043] In order to more clearly illustrate the embodiments of the present invention or the technical solutions of the prior art, the following briefly introduces the drawings required for use in the embodiments or the description of the prior art. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying any creative work.
[0044] Figure 1 This is a flow chart of a first specific embodiment of a unit cell hybridization method based on minimal surfaces provided by the present invention;
[0045] Figure 2 It is a single unit cell of G1 type minimal surface;
[0046] Figure 3 It is a G1 type minimal surface lattice processing;
[0047] Figure 4 Fill the G1 type minimal surface with a homogeneous cube;
[0048] Figure 5 Force and displacement curves for G1 and G compression simulation;
[0049] Figure 6 Fill the gradient cube for G1 type minimal surface;
[0050] Figure 7 It is a P1 type minimal surface filled with homogeneous cylinders;
[0051] Figure 8 Fill the P1 type minimal surface with gradient cylinders;
[0052] Figure 9 A structural block diagram of a unit cell hybridization device based on minimal surfaces provided in an embodiment of the present invention. DETAILED DESCRIPTION
[0053] The core of the present invention is to provide a unit cell hybridization method, device, equipment and application based on minimal surfaces, which ensures that the scaffold has a larger surface area and better pore connectivity while giving the scaffold stronger mechanical properties.
[0054] In order to enable those skilled in the art to better understand the present invention, the present invention is further described in detail below with reference to the accompanying drawings and specific embodiments. Obviously, the embodiments described are only some embodiments of the present invention, not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative work are within the scope of protection of the present invention.
[0055] Please refer to Figure 1 , Figure 1 This is a flow chart of a first specific embodiment of a cell hybridization method based on minimal surfaces provided by the present invention; the specific operating steps are as follows:
[0056] Step S101: selecting a first unit cell structure and a second unit cell structure to be hybridized;
[0057] Set the interval range [x, y, z] = meshgrid(-pi:0.1:pi), where meshgrid is a function of the grid sampling points;
[0058] In the set interval range, a plot point is taken every 0.1 length in a cube with a side length of 2pi.
[0059] The unit cell is obtained by adjusting the number of unit cells in the unit hybrid model by adjusting the surface structure period k, and adjusting the aperture gradient structure of the unit hybrid model in one direction or two directions by adjusting the surface threshold constant C.
[0060] Step S102: based on the second unit cell structure characteristics, modifying the trigonometric function terms of the first unit cell structure primitive function to obtain a monomer unit cell structure hybridized by the first unit cell structure and the second unit cell structure;
[0061] Adding characteristic terms of the trigonometric functions of the second unit cell structure to the trigonometric functions of the first unit cell structure, thereby obtaining a first unit cell structure having minimal surface characteristics of the second unit cell structure;
[0062] The first unit cell function expression is:
[0063] F(x, y, z) = f TPMS (x, y, z) + C
[0064] The f TPMS (x, y, z) includes:
[0065]
[0066]
[0067] Among them, k is the surface structure period, C is the surface threshold constant, x, y, z are function variables, f TPMS (x, y, z) is or or
[0068] By adding the trigonometric function characteristic term of the second unit cell structure, the changed first unit cell structure is obtained.
[0069] Step S103: constructing a unit hybrid model for filling, and obtaining a unit cell of a desired size by adjusting the surface structure period k and the surface threshold constant C of the unit hybrid model;
[0070] The unit cell is obtained by adjusting the number of unit cells in the unit hybrid model by adjusting the surface structure period k, and adjusting the porosity gradient structure of the unit hybrid model in one direction or two directions by adjusting the surface threshold constant C.
[0071] Step S104: constructing a target model based on the target part structure, and using the unit cells to perform reorganization and filling to generate the target part;
[0072] Performing a lattice processing on the unit cells, and giving thickness to the target model, and reorganizing and filling the target model with the unit cells after the lattice processing to obtain a hybrid porous structure, thereby generating a target part;
[0073] The porosity of the hybrid porous structure is expressed as the percentage of the volume of the pores inside the material to the total volume, and the calculation formula is:
[0074]
[0075] Where P is the porosity of the porous structure, v P is the target part volume, and v is the total volume of the filled part.
[0076] Step S105: exporting the target part into an STL file using 3D design software and slicing the file, and then printing the target part using 3D printing technology.
[0077] This embodiment provides a cell hybridization method based on minimal surfaces. By adjusting the trigonometric function terms of the original minimal surfaces, a uniform transition of different types of minimal surface structures is achieved. By changing the surface threshold constant C, a gradient transition of the same type of minimal surface structure is achieved. Through appropriate gradient adjustment, the structure of the scaffold can be made to be more similar to the complex porous structure of human bone, and it is unified into a function to facilitate parameter modification and adjustment. This ensures that the scaffold has a larger surface area and better pore connectivity while also having stronger mechanical properties.
[0078] Based on the above embodiment, this embodiment is described using a specific unit cell type, as follows:
[0079] Primitive minimal surface types include Gyroid, Primitive, Diamond, etc. The above surface structural units are represented by implicit functions, respectively:
[0080] G (Gyroid) type: F(x, y, z)=sin(k*x)*cos(k*y)+sin(k*y)*cos(k*z)+sin(k*z)*cos(k*x)+C;
[0081] P (Primitive) type: F(x, y, z)=cos(k*x)+cos(k*y)+cos(k*z)+C;
[0082] D (Diamond) type: F(x, y, z)=sin(k*x)*sin(k*y)*sin(k*z)+sin(k*x)*cos(k*y)*cos(k*z)+cos(k*x)*sin(k*y)*cos(k*z)+cos(k*x)*cos(k*y)*sin(k*z)+C;
[0083] Among them, k is the surface structure period, C is the surface threshold constant, and x, y, and z are function variables.
[0084] 1. GD hybrid (homogeneous cubic model):
[0085] G (Gyroid) type: F(x, y, z)=sin(k*x)*cos(k*y)+sin(k*y)*cos(k*z)+sin(k*z)*cos(k*x)+C;
[0086] In order to enhance the compressive strength of the G-type surface in the z direction while maintaining a large surface area and connectivity, cos(z) is added to the first trigonometric function to deform the model into a D-type surface.
[0087] A filling model is established, and the k and C values are adjusted according to the required size. In this embodiment, the k value is set to 1 and the C value is set to 0 because the target model is filled with the minimum unit. The new function is obtained:
[0088] F(x,y,z)=sin(x)*cos(y)*cos(z)+sin(y)*cos(z)+sin(z)*cos(x)
[0089] The new topological surface is named G1, and the point set that constitutes the isosurface and the triangular face data (such as Figure 2 As shown, in MATLAB, by solving the implicit function, a set of points consisting of the solutions of all functions between -pi and pi in the x, y, and z directions is obtained, and an isosurface model is drawn. The model for filling is scaled in Photon Workshop. In this embodiment, the model side length is set to 3.33 mm to fill three complete unit cells in the model.
[0090] Draw the target model. Draw a cube model with a side length of 10 mm in 3-matic.
[0091] like Figure 3 、 Figure 4 As shown, by lattice processing the surface, the triangular facet model without thickness was set as a lattice model that can be used for solid filling. This was then filled into the cube model and given a thickness of 0.3mm to obtain a hybrid model. The complete model with thickness was imported into Magics, and the actual volume of the part was found to be 272.747mm³, with a modeling space of 1000mm³. The actual porosity was determined to be 72.7%, resulting in the target part.
[0092] like Figure 5 As shown, the compressive strength of the structure designed in this embodiment is obtained by performing compression simulations on two groups of homogeneous models, G and G1, while ensuring the same porosity. The compressive strength of the G1 surface is higher than that of the original G surface.
[0093] 2. GD hybrid (gradient cubic model)
[0094] G (Gyroid) type: F(x, y, z)=sin(k*x)*cos(k*y)+sin(k*y)*cos(k*z)+sin(k*z)*cos(k*x)+C;
[0095] like Figure 6 As shown in the figure, in order to enhance the compressive resistance of the G-type surface in the z direction while maintaining a large surface area and connectivity, cos(z) is added to the first trigonometric function to deform the model into a D-type surface.
[0096] Create a model for filling. Adjust the k and C values according to the required size. This example is a gradient cube model, so you need to draw the unit cell first to facilitate filling. Set the k value before the z term to 3 and the C value to F(z) = -0.2*z. Get the new function:
[0097] F(x,y,z)=sin(x)*cos(y)*cos(3*z)+sin(y)*cos(3*z)+sin(3*z)*cos(x)-0.2*z
[0098] From the initial construction of the primitive function of the minimal surface, we know that C has a range of values, and this range is (-1, 1). In this example, C is replaced by a linear function of f=F(z), and the maximum and minimum values of the function should also fall within this range. From the previous drawing interval, we know that the value of z is (-pi, pi), and at this time the range of f=F(z) falls within (-1, 1). In order to conveniently calculate the porosity and meet the requirements of the bracket size, the designed surface can be scaled. The determined surface is exported as an STL file and then imported into Photon Workshop, and the lengths in the x, y, and z directions are set to 3.33mm, 3.33mm, and 10mm respectively;
[0099] Draw the target model. Draw a cube model with a side length of 10 mm in 3-matic.
[0100] By performing lattice processing on the surface, the triangular face model without thickness is set to a lattice model that can be used for solid filling, and it is filled into the cube model, given a thickness of 0.3mm to obtain a hybrid model, and the complete model with a thickness of 0.3mm is imported into Magics to obtain the actual volume of the part, which is 339.582mm3, the modeling space is 1000mm3, and the actual porosity is 66.4%, thereby obtaining the target part.
[0101] 3. GP hybrid (homogeneous cylinder model)
[0102] The original implicit function of the P-type minimal surface is: F(x, y, z) = cos(k*x) + cos(k*y) + cos(k*z) + C;
[0103] like Figure 7 As shown, in order to increase the surface area of the P-type surface in the y direction, cos(k*y) is added to the first trigonometric function to deform the model toward the G-type surface;
[0104] Establish a model for filling, adjusting the k and C values according to the required size. This example is a homogeneous gradient cylinder model, and unit cells need to be drawn for filling. Set the k value to 1 and the C value to 0 to obtain the new function F(x, y, z) = cos(x) * cos(y) + cos(y) + cos(z). Determine the new topological surface and name it P1. Obtain the point set that constitutes the isosurface in MATLAB software and draw the new surface model;
[0105] Draw the target model. Draw a cylindrical model with a height of 10mm and a diameter of 10mm in 3-matic.
[0106] By lattice processing on the surface, the triangular face model without thickness is set to a lattice model that can be used for solid filling, and it is filled into the cylindrical model. The complete model with a thickness of 0.4 mm is imported into Magics to obtain the actual volume of the part, which is 231.778 mm3, and the modeling space is 785.398 mm3 of the cylindrical volume. The actual porosity is 55.4%, and the target part is obtained.
[0107] 4. GP hybrid (gradient cylinder model)
[0108] The original implicit function of the P-type minimal surface is: F(x, y, z) = cos(k*x) + cos(k*y) + cos(k*z) + C;
[0109] like Figure 8 As shown, in order to increase the surface area of the P-type surface in the v direction, cos(k*y) is added to the first trigonometric function to deform the model toward the G-type surface;
[0110] Establish a model for filling, and adjust the k and C values according to the required size. This embodiment is a gradient cylinder model, so the unit cell needs to be drawn first to facilitate filling. Set the k value before the z term to 3, and the C value to F(z) = -0.05*z-0.1. From the previous drawing interval, we know that the value of z is (-pi, pi). At this time, the range of f = F(z) belongs to (-1, 1). Get the new function: F(x, y, z) = cos(x)*cos(y)+cos(y)+cos(3*z)-0.05*z-0.1, export the determined surface as an STL file and then import it into Photon Workshop, set the lengths in the x, y, and z directions to 3.33mm, 3.33mm, and 10mm respectively;
[0111] Draw the target model. Draw a cylindrical model with a height of 10mm and a diameter of 10mm in 3-matic.
[0112] By lattice processing on the surface, the triangular face model without thickness is set to a lattice model that can be used for solid filling, and it is filled into the cylindrical model, given a thickness of 0.4mm to obtain a hybrid model, and the complete model with a thickness of 0.4mm is imported into Magics to obtain the actual volume of the part, which is 231.858mm3, and the modeling space is a cylindrical volume of 785.398mm3. The actual porosity is 55.4%, and the target part is obtained.
[0113] This embodiment provides a cell hybridization method based on minimal surfaces. The G1-type minimal surface retains some structural features of the original G-type surface, such as a large surface area and good connectivity, and combines the high mechanical strength of the Diamond (D)-type minimal surface. This combination enables the scaffold to provide a larger cell attachment area and also retain a certain mechanical strength. In the G1-type function expression, C is replaced with a function about z, and the range of points defined for z is the same as the z value of the drawing interval. Since the value range of the threshold C is (-1, 1), the value range of the function constructed about any one or any two unknowns of x, y, and z should also fall within this range. Through appropriate gradient adjustment, the structure of the scaffold can be made closer to the complex porous structure of human bones, and it can be unified into a function to facilitate parameter modification and adjustment, thereby ensuring that the scaffold has a larger surface area and better pore connectivity while making the scaffold have stronger mechanical properties.
[0114] Please refer to Figure 9 , Figure 9 A structural block diagram of a unit cell hybridization device based on minimal surfaces provided in an embodiment of the present invention; the specific device may include:
[0115] A unit cell acquisition module 100 is used to select a first unit cell structure and a second unit cell structure to be hybridized;
[0116] a unit cell hybridization module 200 for modifying the trigonometric function terms of the first unit cell structure primitive function based on the second unit cell structure characteristics to obtain a monomer unit cell structure hybridized by the first unit cell structure and the second unit cell structure;
[0117] The unit cell generation module 300 obtains a unit cell of a desired size by adjusting the surface structure period k and the surface threshold constant C;
[0118] A target part generation module 400 is configured to generate a target part by reorganizing and filling the unit cells;
[0119] The 3D printing module 500 is used to export the target part into an STL file using 3D design software and slice the file, and print the target part using 3D printing technology.
[0120] A unit cell hybridization device based on minimal surfaces in this embodiment is used to implement the aforementioned unit cell hybridization method based on minimal surfaces. Therefore, the specific implementation of a unit cell hybridization device based on minimal surfaces can be seen in the embodiment part of the unit cell hybridization method based on minimal surfaces in the above text. For example, the unit cell acquisition module 100, the unit cell hybridization module 200, the unit cell generation module 300, the target part generation module 400, and the 3D printing module 500 are respectively used to implement steps S101, S102, S103, S104 and S105 in the above-mentioned unit cell hybridization method based on minimal surfaces. Therefore, its specific implementation method can refer to the description of the corresponding embodiments of each part, and will not be repeated here.
[0121] A specific embodiment of the present invention further provides a minimal surface-based unit cell hybridization device, comprising: a memory for storing a computer program; and a processor for implementing the steps of the minimal surface-based unit cell hybridization method when executing the computer program.
[0122] The various embodiments in this specification are described in a progressive manner, with each embodiment focusing on its differences from the other embodiments. Reference can be made to the descriptions of the identical or similar parts between the various embodiments. For the devices disclosed in the embodiments, since they correspond to the methods disclosed in the embodiments, the descriptions are relatively simple, and the relevant parts can be referred to the descriptions of the methods.
[0123] Professionals may further appreciate that the units and algorithm steps of each example described in conjunction with the embodiments disclosed herein can be implemented in electronic hardware, computer software, or a combination of the two. In order to clearly illustrate the interchangeability of hardware and software, the above description has generally described the components and steps of each example according to their functions. Whether these functions are performed in hardware or software depends on the specific application and design constraints of the technical solution. Professionals and technicians may use different methods to implement the described functions for each specific application, but such implementation should not be considered beyond the scope of the present invention.
[0124] The steps of the methods or algorithms described in conjunction with the embodiments disclosed herein may be implemented directly using hardware, a software module executed by a processor, or a combination of the two. The software module may be placed in a random access memory (RAM), internal memory, read-only memory (ROM), electrically programmable ROM, electrically erasable programmable ROM, registers, a hard disk, a removable disk, a CD-ROM, or any other form of storage medium known in the art.
[0125] The above is a detailed introduction to a cell hybridization method and device based on minimal surfaces provided by the present invention. Specific examples are used herein to illustrate the principles and implementation methods of the present invention. The description of the above embodiments is only used to help understand the method of the present invention and its core idea. It should be pointed out that for ordinary technicians in this technical field, without departing from the principles of the present invention, the present invention can also be improved and modified, and these improvements and modifications also fall within the scope of protection of the claims of the present invention.
Claims
1. A cell hybridization method based on minimal surfaces, characterized in that: include: Selecting a first unit cell structure and a second unit cell structure to be hybridized; Adding characteristic terms of the trigonometric functions of the second unit cell structure to the trigonometric functions of the first unit cell structure to obtain a monomer unit cell structure formed by hybridizing the first unit cell structure and the second unit cell structure; Wherein, the trigonometric function expression of the first unit cell structure is: ; described include: ; ; ; in, is the surface structure period, is the surface threshold constant, , , is the function variable, for or or ; 、 、 They are the implicit function representations of primitive, gyroid and diamond surface structure units respectively; Constructing a unit hybrid model for filling, by adjusting the surface structure period of the unit hybrid model Adjust the number of cells in the unit hybrid model by adjusting the surface threshold constant Adjusting the aperture gradient structure of the unit hybrid model in one direction or two directions to obtain a unit cell of a desired size; constructing a target model based on the target part structure, and using the unit cell to perform reorganization and filling to generate the target part; The target part is exported into an STL file using 3D design software and sliced, and the target part is printed using 3D printing technology.
2. The unit cell hybridization method based on minimal surfaces according to claim 1, characterized in that: The step of selecting the first unit cell structure and the second unit cell structure to be hybridized includes: Set the interval range ,in is a function of the grid sampling points; In the set range In a cube of unit length, a plot point is taken every 0.1 unit length.
3. The unit cell hybridization method based on minimal surfaces according to claim 1, characterized in that: The target model is constructed based on the target part structure, and the unit cells are used for reorganization and filling to generate the target part, which includes: The unit cells are crystallized, and thickness is given to the target model. The target model is reorganized and filled with the crystallized unit cells to obtain a hybrid porous structure and generate a target part.
4. The unit cell hybridization method based on minimal surfaces according to claim 3, characterized in that: The porosity of the hybrid porous structure is expressed as the percentage of the volume of the pores inside the material to the total volume, and the calculation formula is: ; Where P is the porosity of the porous structure, is the target part volume, is the total volume of the filled part.
5. A unit cell hybridization device based on minimal surfaces, characterized in that: include: A unit cell acquisition module, used for selecting a first unit cell structure and a second unit cell structure to be hybridized; a unit cell hybridization module, configured to add characteristic terms of the trigonometric functions of the second unit cell structure to the trigonometric functions of the first unit cell structure, thereby obtaining a monomer unit cell structure hybridized by combining the first unit cell structure and the second unit cell structure; Wherein, the trigonometric function expression of the first unit cell structure is: ; described include: ; ; ; in, is the surface structure period, is the surface threshold constant, , , is the function variable, for or or ; 、 、 They are the implicit function representations of primitive, gyroid and diamond surface structure units respectively; The unit cell generation module constructs a unit hybrid model for filling, and adjusts the surface structure period of the unit hybrid model Adjust the number of cells in the unit hybrid model by adjusting the surface threshold constant Adjusting the pore gradient structure of the unit hybrid model in one direction or two directions to obtain a unit cell of a desired size; A target part generation module constructs a target model based on the target part structure, and uses the unit cells to perform reorganization and filling to generate the target part; The 3D printing module is used to export the target part into an STL file using 3D design software and slice the file, and print the target part using 3D printing technology.
6. A cell hybridization device based on minimal surfaces, characterized in that: include: memory for storing computer programs; A processor, configured to implement the steps of a unit cell hybridization method based on minimal surfaces as claimed in any one of claims 1 to 4 when executing the computer program.
7. An application of the minimal surface-based unit cell hybridization method according to any one of claims 1 to 4 in biomedical scaffolds.
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