CN111079332B - Design method of porous structure on surface of external fixing support - Google Patents

Design method of porous structure on surface of external fixing support Download PDF

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Publication number
CN111079332B
CN111079332B CN201911310444.4A CN201911310444A CN111079332B CN 111079332 B CN111079332 B CN 111079332B CN 201911310444 A CN201911310444 A CN 201911310444A CN 111079332 B CN111079332 B CN 111079332B
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support
external
external fixing
fixing support
distal end
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CN111079332A (en
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黄琛
李超宁
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Wuhan United Imaging Zhirong Medical Technology Co Ltd
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Wuhan United Imaging Zhirong Medical Technology Co Ltd
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • G06F30/23Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/10Geometric CAD
    • G06F30/17Mechanical parametric or variational design
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2111/00Details relating to CAD techniques
    • G06F2111/04Constraint-based CAD
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2111/00Details relating to CAD techniques
    • G06F2111/10Numerical modelling
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/14Force analysis or force optimisation, e.g. static or dynamic forces

Abstract

The invention relates to a design method of a porous structure on the surface of an external fixing support, which comprises the following steps: s10, establishing a finite element model of an external fixing bracket, steel nails and autologous bone; s20, simulating a real stress situation to carry out simulation analysis on the finite element model; s30, performing topology optimization on the external fixed support according to the simulation analysis result; s40, carrying out surface porous design on the external fixing support according to the topological optimization result. According to the design method of the surface porous structure of the external fixing support, the mechanical finite element analysis is used as a theoretical basis, and the construction of the surface porous structure is performed through topological optimization, so that the minimum volume of the external fixing support is guaranteed, the air permeability and the portability of the external fixing support are improved, a patient can wear the external fixing support more comfortably, the maximum possible material can be saved on the basis of guaranteeing the structural strength of the support, and the cost is reduced.

Description

Design method of porous structure on surface of external fixing support
Technical Field
The invention relates to the technical field of medical equipment, in particular to a design method of a porous structure on the surface of an external fixing support.
Background
Fractures are common injuries in everyday life, after which patients often need to receive corresponding fixation measures to ensure recovery of the damaged bone, common fixation measures include external fixation stents. The existing technology for constructing the ventilation holes on the external fixing support cannot be combined with the stress requirements of a patient, and theoretical analysis is used as a design basis, so that discomfort of wearing of the patient can be caused, the strength of the external fixing support can be reduced, and the service life of the support is prolonged.
Disclosure of Invention
Based on the above, it is necessary to provide a design method of the surface porous structure of the external fixing support, which can ensure that the external fixing support is comfortable to wear, has higher strength and has longer service life, aiming at the problems of uncomfortable wearing, lower strength and shorter service life of the existing external fixing support.
A design method of a porous structure on the surface of an external fixing support comprises the following steps:
s10, establishing a finite element model of an external fixing bracket, steel nails and autologous bone;
s20, simulating a real stress situation to carry out simulation analysis on the finite element model;
s30, performing topology optimization on the external fixed support according to the simulation analysis result;
s40, carrying out surface porous design on the external fixing support according to the topological optimization result.
In one embodiment, in the step S30, the topologically optimized region includes an external fixation stent; the response of the topology optimization process includes: the strain energy SE of the integral mechanical model, the maximum equivalent stress S1Max of the external fixed support, the maximum equivalent stress S2Max of the steel needle and the volume V of the external fixed support; the target of the topology optimization process comprises that the strain energy SE of the overall mechanical model after optimization is minimum; constraints of the topology optimization process include: the maximum equivalent stress S1Max of the outer fixed support is smaller than the yield strength of the outer fixed support, and the maximum equivalent stress S2Max of the steel needle is smaller than the yield strength of the steel needle; geometric constraints of the topology optimization process include geometric freezing of critical locations of the external fixation stent.
In one embodiment, in the step S40, the main bearing area of the external fixation stent is used as the retention area, the remaining area of the external fixation stent is used as the optimization area, and the range of the porous design includes the optimization area.
In one embodiment, in the step S20, a uniform load is applied to the top end of the autogenous bone to constrain the bottom surface of the autogenous bone.
In one embodiment, in step S20, a six degree of freedom full constraint is applied to the bottom surface of the autogenous bone.
In one embodiment, the step S10 includes: s11, establishing a geometric model of the external fixing bracket, the steel nails and the autologous bone; s12, setting the material properties of an external fixing bracket and steel nails; s13, finite element meshing is conducted on the geometric model.
In one embodiment, the material of the external fixation support comprises nylon and the material of the steel nail comprises TC4 medical titanium alloy.
In one embodiment, the elastic modulus of the outer fixing bracket made of nylon material is 1.5X10 9 Pa-2.0×10 9 Between Pa, a Poisson's ratio of 0.3-0.4, and a yield strength of 1.0X10 8 Pa-1.2×10 8 Pa; the elastic modulus of the steel nail made of TC4 medical titanium alloy material is 1.0x10 11 Pa-1.2×10 11 Between Pa, a Poisson's ratio of 0.3-0.4, and a yield strength of 8.0X10 8 Pa-9.0×10 8 Pa.
In one embodiment, the geometric model comprises a fracture proximal end, a fracture distal end, a bracket proximal end, a bracket distal end and a plurality of steel nails, wherein the bracket proximal end is sleeved at the fracture proximal end, the bracket distal end is sleeved at the fracture distal end, the bracket proximal end is fixedly connected with the fracture proximal end through the steel nails, and the bracket distal end is fixedly connected with the fracture distal end through the steel nails.
In one embodiment, the step S40 further includes: s50, processing the outer fixing support after the porous design in a 3D printing mode.
According to the design method of the surface porous structure of the external fixing support, the mechanical finite element analysis is used as a theoretical basis, and the construction of the surface porous structure is performed through topological optimization, so that the minimum volume of the external fixing support is guaranteed, the air permeability and the portability of the external fixing support are improved, a patient can wear the external fixing support more comfortably, the maximum possible material can be saved on the basis of guaranteeing the structural strength of the support, and the cost is reduced.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings required for the description of the embodiments will be briefly described below, and it is apparent that the drawings in the following description are only some embodiments of the present invention, and other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a flow chart of a method for designing a porous structure on the surface of an external fixing support according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of a finite element model according to an embodiment of the present invention;
FIG. 3 is a schematic diagram of a finite element model mesh according to an embodiment of the present invention;
FIG. 4 is an equivalent stress cloud diagram of an external fixation support according to an embodiment of the present invention;
FIG. 5 is an equivalent stress cloud for a steel needle according to an embodiment of the present invention;
FIG. 6 is a first view of a topologically optimized external stationary support geometry model according to one embodiment of the present invention;
FIG. 7 is a second view of a topologically optimized external stationary support geometry model according to one embodiment of the present invention;
FIG. 8 is a first perspective view of a topologically optimized external fixed stent mesh model according to one embodiment of the present invention;
FIG. 9 is a second view of a topologically optimized external fixed stent mesh model according to one embodiment of the present invention;
FIG. 10 is an equivalent stress cloud diagram of a topologically optimized external fixation support according to an embodiment of the present invention;
fig. 11 is an equivalent stress cloud diagram of a topologically optimized steel needle according to an embodiment of the present invention.
Wherein, the device comprises a 100-fracture proximal end, a 200-fracture distal end, a 300-bracket proximal end, a 400-bracket distal end and 500-more steel nails.
Detailed Description
The present invention will be described in further detail with reference to the drawings and examples, in order to make the objects, technical solutions and advantages of the present invention more apparent. It should be understood that the detailed description is intended to illustrate the invention, and not to limit the invention.
It will be understood that when an element is referred to as being "fixed to" another element, it can be directly on the other element or intervening elements may also be present. When an element is referred to as being "connected" to another element, it can be directly connected to the other element or intervening elements may also be present. In contrast, when an element is referred to as being "directly on" another element, there are no intervening elements present. In contrast, when an element is referred to as being "directly connected" to another element, there are no intervening elements present. The terms "vertical," "horizontal," "left," "right," and the like are used herein for illustrative purposes only.
In the description of the present invention, it should be understood that the terms "length," "width," "thickness," "upper," "lower," "front," "rear," "left," "right," "top," "bottom," "inner," "outer," and the like indicate orientations or positional relationships based on the orientation or positional relationships shown in the drawings, merely to facilitate describing the present invention and simplify the description, and do not indicate or imply that the devices or elements referred to must have a specific orientation, be configured and operated in a specific orientation, and thus should not be construed as limiting the present invention.
As shown in fig. 1-2, an embodiment of the present invention provides a method for designing a porous structure on a surface of an external fixing support, which includes:
s10, establishing a finite element model of an external fixing bracket, steel nails and autologous bone;
s20, simulating a real stress situation to carry out simulation analysis on the finite element model;
s30, performing topology optimization on the external fixed support according to the simulation analysis result;
s40, carrying out surface porous design on the external fixing support according to the topological optimization result.
According to the design method of the surface porous structure of the external fixing support, the mechanical finite element analysis is used as a theoretical basis, and the construction of the surface porous structure is performed through topological optimization, so that the minimum volume of the external fixing support is guaranteed, the air permeability and the portability of the external fixing support are improved, a patient can wear the external fixing support more comfortably, the maximum possible material can be saved on the basis of guaranteeing the structural strength of the support, and the cost is reduced.
The structure of the external fixing support is complex, and the stress condition of each part of the external fixing support is difficult to accurately calculate only through simple theoretical approximate calculation. The finite element analysis method divides the analyzed structure into thousands of grids, and can effectively calculate the stress distribution of the complex structure when bearing load. The precondition of calculating the internal stress distribution of the external fixed bracket by using a finite element analysis method is to accurately establish a finite element model of the external fixed bracket. In an embodiment of the present invention, the step S10 includes: s11, establishing a geometric model of the external fixing bracket, the steel nails 500 and the autologous bone; s12, setting the material properties of an external fixing bracket and a steel nail 500; s13, finite element meshing is conducted on the geometric model. Optionally, the finite element analysis software is directly used for establishing a model of the external fixing support, the steel nails 500 and the autologous bone, setting grid-connected grid division of material properties, or the three-dimensional modeling software, the grid division software and the finite element analysis software are used for respectively completing the processes of establishing the model of the external fixing support, the steel nails 500 and the autologous bone, grid division and stress analysis calculation. As one way of realisation, finite element analysis software (such as Ansys, abaqus, etc.) is directly used to model the external fixation stent, steel nails 500, and autologous bone, set material properties, and grid.
It can be understood that the design method of the porous structure on the surface of the external fixing support not only can optimize the design of the general external fixing support, but also can optimize the analysis of the personalized and customized external fixing support. In an embodiment of the present invention, the method for designing the surface porous structure of the external fixing support provided in each embodiment is used to perform the open-pore optimization design on the external fixing support of the general type. Specifically, as shown in fig. 2, the geometric model includes a fracture proximal end 100 and a fracture distal end 200 of an autologous bone, a stent proximal end 300 and a stent distal end 400 of an external fixation stent, and a plurality of steel nails 500, wherein the stent proximal end 300 is sleeved on the fracture proximal end 100, the stent distal end 400 is sleeved on the fracture distal end 200, the stent proximal end 300 and the stent distal end 400 are fixedly connected, the stent proximal end 300 is fixedly connected with the fracture proximal end 100 through a plurality of steel nails 500, and the stent distal end 400 is fixedly connected with the fracture distal end 200 through the rest of steel nails 500. The above-mentioned general type of external fixation brackets are also referred to as external fixation brackets of standard construction.
And analyzing and calculating stress distribution of the external fixed support in a stressed state by using a finite element analysis method, and setting physical parameters of a geometric model by referring to the physical parameters of the external fixed support on the premise of necessity. In one embodiment of the present invention, the material of the external fixing support comprises nylon, and the material of the steel nail 500 comprises TC4 medical titanium alloy. The materials of the external fixing bracket and the steel nails 500 are commonly used materials in the general type external fixing bracket. Further, the elastic modulus of the outer fixing bracket made of nylon material is 1.5X10 9 Pa-2.0×10 9 Between Pa, a Poisson's ratio of 0.3-0.4, and a yield strength of 1.0X10 8 Pa-1.2×10 8 Pa; the elastic modulus of the steel nail 500 made of TC4 medical titanium alloy material is 1.0x10 11 Pa-1.2×10 11 Between Pa, a Poisson's ratio of 0.3-0.4, and a yield strength of 8.0X10 8 Pa-9.0×10 8 Pa. In other embodiments of the present invention, the outer fixing bracket and the steel nails 500 are selected from other types of suitable materials.
The external fixation skeleton is used as a connecting structure between broken bones and directly bears part of the weight of a patient. The stress condition of the external fixing support in the use process of a patient can be further simulated, and the practicability of the design method of the surface porous structure of the external fixing support in the actual working condition is ensured. In one embodiment of the present invention, in the step S20, a uniform load is applied to the top end of the autogenous bone to constrain the bottom surface of the autogenous bone. Further, in the step S20, a uniform load of 400N to 600N is applied to the distal end of the autogenous bone, and a six-degree-of-freedom full constraint is applied to the bottom surface of the autogenous bone. The mode of applying the load can meet the use requirements of most of general external fixing brackets. In other embodiments of the invention, a variable load of between 400N and 600N is applied to the top end of the autogenous bone and a six degree of freedom full constraint is applied to the bottom surface of the autogenous bone.
Topology optimization is an important step in the design method of the surface porous structure of the external fixed support. In one embodiment of the present invention, in the step S30, the topologically optimized area includes an external fixing bracket; the response of the topology optimization process includes: the strain energy SE of the integral mechanical model, the maximum equivalent stress S1Max of the external fixed support, the maximum equivalent stress S2Max of the steel needle and the volume V of the external fixed support; the target of the topology optimization process comprises that the strain energy SE of the overall mechanical model after optimization is minimum; constraints of the topology optimization process include: the maximum equivalent stress S1Max of the outer fixed support is smaller than the yield strength of the outer fixed support, and the maximum equivalent stress S2Max of the steel needle is smaller than the yield strength of the steel needle; geometric constraints of the topology optimization process include geometric freezing of critical locations of the external fixation stent. The topology optimization process can finally obtain the external fixing bracket with smaller volume, enough strength and service life meeting the use requirement through continuous iteration.
The topological optimization process can achieve the overall structure of the external fixing support with the overall size and stress distribution. In one embodiment of the present invention, in the step S40, the main bearing area of the external fixing bracket is used as a retention area, and the retention area is not porous to ensure the overall structural strength of the external fixing bracket. The other areas of the external fixing support are used as the optimizing areas, the porous design range comprises the optimizing areas, and the porous design can be carried out only in the optimizing areas, so that the area of the external fixing support is guaranteed to be minimum, a patient can wear the external fixing support more comfortably in the rehabilitation process, the maximum possible material saving can be achieved on the basis of guaranteeing the structural strength of the support, and the cost is reduced. It will be appreciated that the holes provided in the optimized area should be capable of ensuring sterilization of the contact area of the steel nail 500 with the patient while compromising breathability of the patient's affected area. As one possible way, the size of the holes allows the cotton swabs to penetrate, and as many ventilation holes as possible can be formed in the optimized area.
It will be appreciated that the method for designing the porous structure of the surface of the external fixing support provided in the above embodiments should be processed in a proper manner after the external fixing support is optimally designed. In an embodiment of the present invention, the step S40 further includes: s50, processing the outer fixing support after porous design in a 3D printing (rapid prototyping technology) mode. The design method of the surface porous structure of the external fixing support provided in each embodiment can achieve the overall structure of the external fixing support with the size and the stress distribution, and save processing materials for the subsequent 3D printing process. In other embodiments of the present invention, the external fixing support optimally designed by using the design method of the porous structure on the surface of the external fixing support provided in each embodiment above may also be processed by using a conventional processing method.
The design method of the porous structure on the surface of the external fixing support provided by the above embodiments mainly improves the air permeability and portability of the 3D printing personalized external fixing support. By establishing the external fixed support, the steel needle and the autologous bone mechanics finite element model, simulating the real stress condition to carry out mechanics simulation analysis and topology optimization, and carrying out ventilation hole construction on the external fixed support model according to the final optimization result, the finally obtained porous support can meet the air permeability requirement of a patient, and simultaneously has the most portable structure under the condition of meeting the sufficient strength of the support, so that the patient wears more comfortably, and the printing cost is saved.
The following is a specific example provided by the present invention:
as shown in fig. 2, the geometric model of the external fixation stent of the general type is shown, the geometric model comprises a fracture proximal end 100 and a fracture distal end 200 of an autologous bone, a stent proximal end 300 and a stent distal end 400 of the external fixation stent, and four steel nails 500, wherein the stent proximal end 300 is sleeved on the fracture proximal end 100, the stent distal end 400 is sleeved on the fracture distal end 200, the stent proximal end 300 and the stent distal end 400 are fixedly connected through bolts, the stent proximal end 300 is fixedly connected with the fracture proximal end 100 through a plurality of steel nails 500, and the stent distal end 400 is fixedly connected with the fracture distal end 200 through the rest of steel nails 500. Fig. 3 is a mesh model for finite element analysis constructed from the geometric model of the external fixation stent of fig. 2. Wherein the outer fixing bracket material is nylon and the elastic die thereofThe amount was 1.8X10 9 Pa, poisson's ratio of 0.33, yield strength of 1.15X10 8 Pa. The steel nail 500 material is TC4 medical titanium alloy with elastic modulus of 1.1 multiplied by 10 11 Pa, poisson's ratio of 0.34, yield strength of 8.6X10 8 Pa. Boundary conditions include application of a 500N uniform load from the top of the autogenous bone and application of six degrees of freedom full constraint from the bottom. Fig. 4 and 5 are stress distribution cloud diagrams of the external fixation frame and the steel nail 500, respectively, wherein the maximum equivalent stress on the external fixation frame is 4.91×10 7 Pa, the maximum equivalent stress on the steel needle is 3.17 multiplied by 10 8 Pa。
As shown in fig. 6-9, the method is iterated for 31 times by using a topological optimization mode, and then the method is stopped, so that an optimized external fixed support geometric model and a grid model are obtained. The external fixation stent and steel nail 500 as shown in fig. 10-11 is optimized using a topologically optimized approach to equivalent stress cloud. The maximum equivalent stress on the optimized external fixing support is 4.93 multiplied by 10 7 Pa, the maximum equivalent stress on the optimized steel needle is 3.16X10 8 Pa. After the topology optimization is carried out on the external fixing support by the design method provided by the embodiment, the integral strain energy of the system is reduced to the minimum, the external fixing volume is reduced by 50%, meanwhile, the fact that the maximum equivalent stress on the external fixing support is smaller than the yield strength of nylon and the maximum equivalent stress on the steel needle is smaller than the yield strength of TC4 is met.
The technical features of the above-described embodiments may be arbitrarily combined, and all possible combinations of the technical features in the above-described embodiments are not described for brevity of description, however, as long as there is no contradiction between the combinations of the technical features, they should be considered as the scope of the description.
The above examples illustrate only a few embodiments of the invention, which are described in detail and are not to be construed as limiting the scope of the invention. It should be noted that it will be apparent to those skilled in the art that several variations and modifications can be made without departing from the spirit of the invention, which are all within the scope of the invention. Accordingly, the scope of protection of the present invention is to be determined by the appended claims.

Claims (8)

1. The design method of the porous structure of the surface of the external fixing support is characterized by comprising the following steps of:
s10, establishing a finite element model of an external fixed support, steel nails and autologous bone, wherein the geometric model of the fixed support, the steel nails and the autologous bone corresponding to the finite element model comprises a fracture proximal end, a fracture distal end, a support proximal end, a support distal end and a plurality of steel nails, wherein the support proximal end is sleeved at the fracture proximal end, the support distal end is sleeved at the fracture distal end, the support proximal end is fixedly connected with the support distal end, the support proximal end is fixedly connected with the fracture proximal end through a plurality of steel nails, and the support distal end is fixedly connected with the fracture distal end through the rest steel nails;
s20, simulating a real stress situation to carry out simulation analysis on the finite element model;
s30, performing topology optimization on the external fixed support according to the simulation analysis result;
s40, carrying out surface porous design on the external fixed support according to a topological optimization result;
wherein in said step S30, the topologically optimized region comprises an external fixation stent; the response of the topology optimization process includes: the strain energy SE of the integral mechanical model, the maximum equivalent stress S1Max of the external fixed support, the maximum equivalent stress S2Max of the steel needle and the volume V of the external fixed support; the target of the topology optimization process comprises that the strain energy SE of the overall mechanical model after optimization is minimum; constraints of the topology optimization process include: the maximum equivalent stress S1Max of the outer fixed support is smaller than the yield strength of the outer fixed support, and the maximum equivalent stress S2Max of the steel needle is smaller than the yield strength of the steel needle; geometric constraints of the topology optimization process include geometric freezing of critical locations of the external fixation stent.
2. The method according to claim 1, wherein in the step S40, the main bearing area of the external fixation support is used as a retention area, the remaining area of the external fixation support is used as an optimization area, and the range of the porous design includes the optimization area.
3. The method according to claim 1, wherein in the step S20, a uniform load is applied to the distal end of the autogenous bone to constrain the bottom surface of the autogenous bone.
4. The method according to claim 3, wherein in the step S20, six-degree-of-freedom full constraint is applied to the bottom surface of the autologous bone.
5. The method for designing a surface porous structure of an external fixation support according to claim 1, wherein the step S10 comprises: s11, establishing a geometric model of the external fixing bracket, the steel nails and the autologous bone; s12, setting the material properties of an external fixing bracket and steel nails; s13, finite element meshing is conducted on the geometric model.
6. The method of claim 5, wherein the material of the external fixing support comprises nylon and the material of the steel nail comprises TC4 medical titanium alloy.
7. The method for designing a surface porous structure of an external fixation frame according to claim 6, wherein the elastic modulus of the external fixation frame made of nylon material is 1.5×10 9 Pa-2.0×10 9 Between Pa, a Poisson's ratio of 0.3-0.4, and a yield strength of 1.0X10 8 Pa-1.2×10 8 Pa; the elastic modulus of the steel nail made of TC4 medical titanium alloy material is 1.0x10 11 Pa-1.2×10 11 Between Pa, a Poisson's ratio of 0.3-0.4, and a yield strength of 8.0X10 8 Pa-9.0×10 8 Pa.
8. The method for designing a porous structure on a surface of an external fixation support according to any one of claims 1 to 7, wherein the step S40 further comprises: s50, processing the outer fixing support after the porous design in a 3D printing mode.
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新型外固定支架系统-胫骨骨折模型的建立与三维有限元分析;王美;赵文;申庆民;张孜君;刘子豪;黄岩;;中国现代医学杂志(第22期);58-63 *

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