CN210742944U - Three-dimensional zero Poisson ratio microscopic structure based on star structure and macroscopic structure thereof - Google Patents
Three-dimensional zero Poisson ratio microscopic structure based on star structure and macroscopic structure thereof Download PDFInfo
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- CN210742944U CN210742944U CN201921635320.9U CN201921635320U CN210742944U CN 210742944 U CN210742944 U CN 210742944U CN 201921635320 U CN201921635320 U CN 201921635320U CN 210742944 U CN210742944 U CN 210742944U
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Abstract
The utility model discloses a three-dimensional zero Poisson ratio microscopic structure based on a star-shaped structure, which comprises horizontal units and a pair of horizontal four-corner star-shaped units, wherein the horizontal units are arranged in parallel; the vertical unit comprises a pair of vertical four-corner star units which are arranged in parallel, the vertical four-corner star units are connected with the tip ends of the horizontal four-corner star units at the star tip ends, the vertical four-corner star units are perpendicular to the horizontal four-corner star units connected with the vertical four-corner star units, a macrostructure of a three-dimensional zero-Poisson ratio microscopic structure based on a star structure is disclosed, the macrostructure has a three-dimensional structure, and the three principal axis directions have zero-Poisson ratio effects, the structure is simple, the preparation is convenient, and the application range is wider.
Description
Technical Field
The utility model relates to a metamaterial field, in particular to three-dimensional zero poisson's ratio mesoscopic structure and macrostructure based on star type structure.
Background
"metamaterial" is defined according to the general literature as: artificial composite structures or materials having extraordinary physical properties not possessed by natural materials. The auxetic metamaterial is taken as a branch of the metamaterial, and the main extraordinary physical property of the auxetic metamaterial is that the auxetic metamaterial has an extraordinary Poisson ratio effect. The supernormal poisson's ratio includes a negative poisson's ratio and a zero poisson's ratio. According to a calculation formula of Poisson ratio:
wherein ε x represents the transverse strain of the material and ε y represents the longitudinal strain of the material;
when the poisson's ratio is negative, it means that the material is under tension (or compression) and the strain in the direction perpendicular to the load is of the same sign as the strain in the direction parallel to the load, i.e. it expands (or contracts) in all directions. When the poisson's ratio is zero, it means that the strain in the direction of vertical loading of the material is always zero under tension (or compression), i.e. there is no deformation in all directions.
For zero poisson ratio metamaterial, at present, documents at home and abroad are mostly a 'pseudo' three-dimensional structure which is expanded by stretching in the Z direction (namely the height direction) on the basis of a two-dimensional plane structure, and a model of the metamaterial can still be regarded as a two-dimensional structure essentially. And the zero Poisson ratio metamaterial with a real three-dimensional structure is not common at present.
The problems commonly existing in the prior zero-Poisson ratio metamaterial are as follows:
(1) the microscopic structure is complex, and certain difficulty exists in preparation;
(2) part of the zero-Poisson ratio metamaterial is still in a two-dimensional structure;
(3) zero-poisson-ratio metamaterials with two-dimensional structures generally have zero-poisson-ratio effects in only one direction.
SUMMERY OF THE UTILITY MODEL
The utility model discloses aim at solving one of the technical problem that exists among the prior art at least. Therefore, the utility model provides a three-dimensional zero poisson ratio mesoscopic structure based on star type structure has three-dimensional structure, and all possesses zero poisson ratio effect on the three main shaft direction, simple structure, the preparation of being convenient for, and the range of application is wider.
The utility model discloses still provide a macrostructure that has above-mentioned three-dimensional zero poisson ratio mesoscopic structure based on star type structure.
According to the utility model discloses a three-dimensional zero poisson ratio mesoscopic structure based on star type structure of first aspect embodiment, including horizontal unit, including a pair of horizontal four corners star type unit that all is the same with the structure of size that is arranged in parallel each other; the vertical units comprise a pair of vertical four-corner star units which are arranged in parallel and have the same size and structure, the vertical four-corner star units are connected with the tip ends of the horizontal four-corner star units at the star tip ends, and the vertical four-corner star units are perpendicular to the horizontal four-corner star units connected with the vertical four-corner star units.
According to the utility model discloses three-dimensional zero poisson ratio mesoscopic structure based on star type structure has following beneficial effect at least: the three-dimensional structure is provided, the zero Poisson ratio effect is achieved in the three main shaft directions, the structure is simple, the preparation is convenient, and the application range is wider.
According to the utility model discloses a some embodiments, horizontal four corners star unit with perpendicular four corners star unit is inside all to be provided with the thin pole of cross reinforcing, the thin pole of cross reinforcing is connected horizontal four corners star unit or perpendicular four corners star unit self inside star indent department, the thin pole of cross reinforcing withstands the star indent and goes out, increases star type structure crushing resistance, can strengthen the rigidity of carefully watching the structure.
According to the utility model discloses a some embodiments, horizontal four corners star unit with perpendicular four corners star unit is inside all to be provided with the thin pole of X type reinforcing, the thin pole of X type reinforcing is connected horizontal four corners star unit or perpendicular four corners star unit self inside star point department, the thin pole of X type reinforcing has strengthened the rigidity of star type structure point junction, plays certain effect to promoting whole rigidity.
According to the utility model discloses a some embodiments, horizontal four corners star unit with perpendicular four corners star unit outside is provided with the thin pole of outside reinforcing, the thin pole of outside reinforcing is in horizontal four corners star unit or the star point department of the same star unit of perpendicular four corners star unit external connection has strengthened the bulk rigidity of structure from the outside.
According to the utility model discloses a three-dimensional zero poisson ratio macrostructure of second aspect embodiment, including a plurality of above-mentioned first aspect embodiments three-dimensional zero poisson ratio mesoscopic structure based on star type structure.
According to the utility model discloses zero poisson ratio macrostructure of three-dimensional has following beneficial effect at least: the three-dimensional structure is provided, the zero Poisson ratio effect is achieved in the three main shaft directions, the structure is simple, the preparation is convenient, and the application range is wider.
According to the utility model discloses a some embodiments, zero poisson ratio structure of three-dimensional is by a plurality of above-mentioned first aspect embodiments three-dimensional zero poisson ratio mesoscopic structure based on star type structure pile up at horizontal direction and vertical direction and form, through carrying out regular array to the foundation element, and then can obtain the three-dimensional metamaterial that a three direction all possesses zero poisson ratio.
According to some embodiments of the utility model, the zero poisson ratio macrostructure of three-dimensional is prepared by the 3D printer, and the preparation degree of difficulty is low, and the process is simple and convenient.
Drawings
The above and/or additional aspects and advantages of the present invention will become apparent and readily appreciated from the following description of the embodiments, taken in conjunction with the accompanying drawings of which:
fig. 1 is a schematic structural diagram of an embodiment of the first aspect of the present invention;
FIG. 2 is a schematic diagram of the structure of the horizontal four-pointed star unit of FIG. 1;
fig. 3 is a schematic structural diagram of a first embodiment in an embodiment of the first aspect of the present invention;
fig. 4 is a schematic structural diagram of a second embodiment in an embodiment of the first aspect of the present invention;
fig. 5 is a schematic structural diagram of a third embodiment in an embodiment of the first aspect of the present invention;
fig. 6 is a schematic structural diagram of an embodiment of the second aspect of the present invention;
FIG. 7 is a diagram showing the deformation of the model of the embodiment of the second aspect in the XY direction after the application of the displacement load in the Y direction;
FIG. 8 shows the deformation of the second example model in YZ direction after the application of a displacement load in Y direction;
FIG. 9 is a view showing the deformation of the model of the embodiment of the second aspect in the ZX direction after the application of the displacement load in the Z direction;
FIG. 10 is a view showing the deformation of the example model of the second aspect in the ZY direction after the application of the displacement load in the Y direction; .
Detailed Description
Reference will now be made in detail to embodiments of the present invention, examples of which are illustrated in the accompanying drawings, wherein like reference numerals refer to the same or similar elements or elements having the same or similar function throughout. The embodiments described below with reference to the drawings are exemplary only for the purpose of explaining the present invention, and should not be construed as limiting the present invention.
In the description of the present invention, it should be understood that the orientation or positional relationship indicated with respect to the orientation description, such as up, down, front, rear, left, right, etc., is based on the orientation or positional relationship shown in the drawings, and is only for convenience of description and simplification of description, and does not indicate or imply that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and thus, should not be construed as limiting the present invention.
In the description of the present invention, a plurality of means are one or more, a plurality of means are two or more, and the terms greater than, less than, exceeding, etc. are understood as not including the number, and the terms greater than, less than, within, etc. are understood as including the number. If the first and second are described for the purpose of distinguishing technical features, they are not to be understood as indicating or implying relative importance or implicitly indicating the number of technical features indicated or implicitly indicating the precedence of the technical features indicated.
In the description of the present invention, unless there is an explicit limitation, the words such as setting, installation, connection, etc. should be understood in a broad sense, and those skilled in the art can reasonably determine the specific meanings of the above words in combination with the specific contents of the technical solution.
Referring to fig. 1, the three-dimensional zero poisson's ratio mesoscopic structure based on the star-shaped structure as an embodiment of the first aspect of the present invention includes a horizontal unit, including a pair of horizontal four-corner star-shaped units 100 with the same size and structure, which are arranged in parallel; and the vertical units comprise a pair of vertical quadrangular star-shaped units 200 which are arranged in parallel with each other and have the same size and structure, the vertical quadrangular star-shaped units 200 are connected with the tips of the horizontal quadrangular star-shaped units 100 at the star tips, and the vertical quadrangular star-shaped units 200 are vertical to the horizontal quadrangular star-shaped units 100 connected with the vertical quadrangular star-shaped units 200.
Any one of the horizontal quadrangle star units or the vertical quadrangle star unit is shown in FIG. 2, the side length of the star is defined as l, the included angle between the axis of the hypotenuse and the horizontal axis is defined as theta, the width of the hypotenuse is defined as t, and the thickness of the hypotenuse is defined as t/2.
In theoretical analysis, the definition of each direction is shown in fig. 5.
Taking 1/8 structure of mesoscopic structure for analysis, if the main direction of uniaxial compression is Y direction, making the total force of Y direction be FyThen the displacement in the Y direction is
Wherein
E0And v0Respectively, young's modulus and poisson ratio of the base material, and k is 1.2 because the rod member has a rectangular cross section.
Then the Y direction should become
And because the principal stress in the Y direction is
The Y-direction equivalent elastic modulus expression is therefore:
due to the symmetry, the equivalent elastic modulus of the model in the X direction and the Z direction are the same, so the calculation is only carried out when the X direction is loaded. If the strain in the X direction is the same as that in the Y direction, the X direction principal stress is only half of that in the Y direction. I.e. when the total resultant force in the X direction is FXWhen the principal stress in the X direction is
The X-direction equivalent elastic modulus expression is therefore:
according to the symmetry, the rotation angle at the intersection point of each microscopic structure in the metamaterial is 0. Therefore, it is found that the thin rods on the XY plane, the ZY plane, and the ZX plane are deformed independently of each other in each microscopic structure. When loaded in the Y direction, the displacement of the thin rod on the YZ plane in the X direction is 0, and the displacement of the thin rod on the XY plane in the Z direction is 0. That is, when the Y-direction load is applied, the strain in the X, Z direction becomes 0, whereby the Poisson's ratio v can be obtainedYX＝vYZ0; in the same way, vZX＝vZY＝vXZ＝vXY＝0。
Therefore, the utility model discloses three-dimensional zero poisson ratio mesoscopic structure based on star type structure in the embodiment of the first aspect all possesses zero poisson ratio effect on three main shaft direction, simple structure, the preparation of being convenient for, the range of application is wider.
Referring to fig. 3, as the first embodiment of the present invention, the horizontal four-corner star unit 100 and the vertical four-corner star unit 200 are all provided with the cross-shaped reinforcing thin rod 300, the cross-shaped reinforcing thin rod 300 is connected to the horizontal four-corner star unit 100 or the inner concave star of the vertical four-corner star unit 200 itself, the cross-shaped reinforcing thin rod 300 props against the inner concave star, the pressure resistance of the star structure is increased, and the rigidity of the mesoscopic structure is enhanced.
Referring to fig. 4, as the second embodiment of the present invention, horizontal four-corner star unit 100 and vertical four-corner star unit 200 are all provided with X-shaped reinforcing thin rods 400, X-shaped reinforcing thin rods 400 are connected to horizontal four-corner star unit 100 or vertical four-corner star unit 200 is in the star tip of its own, and X-shaped reinforcing thin rods 400 reinforce the rigidity of the star structure tip connection, and play a certain role in improving the overall rigidity.
Referring to fig. 5, as a third embodiment of the present invention, an external reinforcing thin rod 500 is provided outside the horizontal four-corner star unit 100 and the vertical four-corner star unit 200, and the external reinforcing thin rod 500 externally reinforces the overall rigidity of the structure at the star point where the horizontal four-corner star unit 100 or the vertical four-corner star unit 200 is externally connected to the same star unit.
Referring to fig. 6, the three-dimensional zero-poisson-ratio macro structure as an embodiment of the second aspect of the present invention includes a plurality of three-dimensional zero-poisson-ratio mesoscopic structures based on the star-shaped structure described in the above embodiments of the first aspect.
According to the utility model discloses zero poisson ratio macrostructure of three-dimensional has following beneficial effect at least: the three-dimensional structure is provided, the zero Poisson ratio effect is achieved in the three main shaft directions, the structure is simple, the preparation is convenient, and the application range is wider.
According to the utility model discloses a some embodiments, zero poisson ratio structure of three-dimensional is by a plurality of above-mentioned first aspect embodiments three-dimensional zero poisson ratio mesoscopic structure based on star type structure pile up at horizontal direction and vertical direction and form, through carrying out regular array to the foundation element, and then can obtain the three-dimensional metamaterial that a three direction all possesses zero poisson ratio.
Specifically, to the mesoscopic structure respectively in horizontal (X direction), vertical (Y direction) and direction of height (Z direction) array concatenation, can obtain the utility model provides a three-dimensional zero poisson's ratio metamaterial (figure 6) each orientation array concatenation's figure does not confine 5 ranks in the schematic diagram 6 to, can be according to actual conditions respectively in X, Y, Z orientation required quantity of array concatenation.
The model is analyzed in the elastic range through finite element software ABAQUS \ Standard, an analysis model with the scale of 4 multiplied by 4 is established by a B31 beam unit, the elastic modulus of the matrix material is 1975.18MPa, and the Poisson ratio is 0.38. The length of the rod I of the microscopic structure is 25mm, t is 2.5mm, and the inclination angle theta is 60 degrees.
And respectively applying certain displacement loads to the model in the Y direction and the Z direction. From the analysis results, it was found that both side surfaces (YX surface, YZ surface) of the model were not deformed in the X and Z directions after the application of the displacement load in the Y direction (fig. 7 and 8), and thus had the zero poisson's ratio effect. After the displacement load in the Z direction is applied, both side surfaces (ZX surface, ZY surface) of the model are not deformed in the X and Y directions (fig. 9, 10), and thus have the zero poisson's ratio effect. From the symmetry, the deformation in which the displacement load is applied in the X direction is the same as the deformation in which the displacement load is applied in the Y direction, that is, the zero poisson's ratio effect is also obtained. Therefore, the zero-Poisson ratio metamaterial of the utility model has the zero-Poisson ratio effect in three directions.
According to some embodiments of the utility model, the zero poisson ratio macrostructure of three-dimensional is prepared by the 3D printer, and the preparation degree of difficulty is low, and the process is simple and convenient. At present, the microstructure of the metamaterial is successfully prepared by a 3D printer based on a MakerbotReplicatorZ18 FDM principle, but the preparation of the metamaterial is not limited to the 3D printer based on the FDM principle, and the metamaterial can be prepared by the 3D printer based on other principles.
The embodiments of the present invention have been described in detail with reference to the accompanying drawings, but the present invention is not limited to the above embodiments, and various changes can be made without departing from the spirit of the present invention within the knowledge of those skilled in the art.
Claims (7)
1. A three-dimensional zero poisson ratio mesoscopic structure based on a star-shaped structure is characterized in that: comprises that
The horizontal unit comprises a pair of horizontal four-corner star-shaped units which are arranged in parallel and have the same size and structure;
the vertical units comprise a pair of vertical four-corner star units which are arranged in parallel and have the same size and structure, the vertical four-corner star units are connected with the tip ends of the horizontal four-corner star units at the star tip ends, and the vertical four-corner star units are perpendicular to the horizontal four-corner star units connected with the vertical four-corner star units.
2. The star-based three-dimensional zero-poisson's ratio mesostructure of claim 1, wherein: the horizontal four-corner star-shaped unit and the vertical four-corner star-shaped unit are internally provided with cross reinforcing thin rods, and the cross reinforcing thin rods are connected with star-shaped concave parts inside the horizontal four-corner star-shaped unit or the vertical four-corner star-shaped unit.
3. The star-based three-dimensional zero-poisson's ratio mesostructure of claim 1, wherein: the horizontal four-corner star-shaped unit and the vertical four-corner star-shaped unit are internally provided with X-shaped reinforcing thin rods, and the X-shaped reinforcing thin rods are connected with star-shaped tips inside the horizontal four-corner star-shaped unit or the vertical four-corner star-shaped unit.
4. The star-based three-dimensional zero-poisson's ratio mesostructure of claim 1, wherein: external reinforcing thin rods are arranged outside the horizontal four-corner star-shaped unit and the vertical four-corner star-shaped unit, and the external reinforcing thin rods are arranged at star tips of the same star-shaped unit connected to the outside of the horizontal four-corner star-shaped unit or the vertical four-corner star-shaped unit.
5. A three-dimensional zero poisson's ratio macrostructure, characterized in that: three-dimensional zero-poisson's ratio mesostructure comprising several of the star-based structures of claims 1-4 above.
6. The three-dimensional zero-poisson's ratio macrostructure recited in claim 5, wherein: the three-dimensional zero-Poisson's ratio structure is formed by stacking a plurality of the star-based three-dimensional zero-Poisson's ratio mesostructures of claims 1-4 in the horizontal direction and the vertical direction.
7. The three-dimensional zero-poisson's ratio macrostructure recited in claim 5, wherein: the three-dimensional zero poisson's ratio macro structure is prepared by a 3D printer.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110619189A (en) * | 2019-09-27 | 2019-12-27 | 五邑大学 | Three-dimensional zero Poisson ratio microscopic structure based on star structure and macroscopic structure thereof |
| CN113757290A (en) * | 2021-09-07 | 2021-12-07 | 中国科学院空间应用工程与技术中心 | Energy-absorbing superstructure monomer with negative Poisson's ratio and energy-absorbing superstructure |
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Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110619189A (en) * | 2019-09-27 | 2019-12-27 | 五邑大学 | Three-dimensional zero Poisson ratio microscopic structure based on star structure and macroscopic structure thereof |
| CN110619189B (en) * | 2019-09-27 | 2023-06-20 | 五邑大学 | Three-dimensional zero poisson ratio mesoscopic structure based on star-shaped structure and macroscopic structure thereof |
| CN113757290A (en) * | 2021-09-07 | 2021-12-07 | 中国科学院空间应用工程与技术中心 | Energy-absorbing superstructure monomer with negative Poisson's ratio and energy-absorbing superstructure |
| CN113757290B (en) * | 2021-09-07 | 2022-10-04 | 中国科学院空间应用工程与技术中心 | Energy-absorbing superstructure monomer with negative Poisson's ratio and energy-absorbing superstructure |
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