CN210742943U - Three-dimensional zero-Poisson ratio honeycomb structure with equivalent elastic performance in three main directions - Google Patents
Three-dimensional zero-Poisson ratio honeycomb structure with equivalent elastic performance in three main directions Download PDFInfo
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- CN210742943U CN210742943U CN201921635318.1U CN201921635318U CN210742943U CN 210742943 U CN210742943 U CN 210742943U CN 201921635318 U CN201921635318 U CN 201921635318U CN 210742943 U CN210742943 U CN 210742943U
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Abstract
The utility model discloses a three-dimensional zero poisson ratio honeycomb structure that has equivalent elastic property in three main direction draws together regular hexahedron basic unit, regular hexahedron basic unit is enclosed by six sizes and the star type structure of the eight limit types of the equal two-dimensional indent of structure, and three-dimensional zero poisson ratio honeycomb structure has three-dimensional structure, and all possesses zero poisson ratio effect and the same equivalent bullet shape modulus on three main shaft direction, simple structure, and preparation is convenient, and the range of application is wider.
Description
Technical Field
The utility model relates to a metamaterial field, in particular to have three-dimensional zero poisson's ratio honeycomb structure of equivalent elastic property in three main direction.
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.
The problems commonly existing in the prior zero-Poisson ratio metamaterial are as follows:
(1) the zero-Poisson ratio metamaterial is mostly seen in a two-dimensional structure, and the three-dimensional zero-Poisson ratio metamaterial is not of many types;
(2) the microscopic structure is complex, and certain difficulty exists in preparation;
(3) at present, some three-dimensional structures with zero Poisson's ratio only have a zero Poisson's ratio effect in one direction, less three directions all have the zero Poisson's ratio effect, and the zero Poisson's ratio structures with equivalent elastic modulus in three main directions are more rare.
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 honeycomb structure that has equivalent elastic performance in three main direction, as three-dimensional material, all possess zero poisson ratio effect and the same equivalent bullet shape modulus in three main shaft direction, the range of application is wider.
According to the utility model discloses a three-dimensional zero poisson ratio honeycomb structure that has equivalent elastic performance in three main direction of embodiment draws together regular hexahedron basic unit, regular hexahedron basic unit is enclosed by six sizes and the star type structure of the eight limit types of the equal two-dimensional indent of structure.
According to the utility model discloses three-dimensional zero poisson ratio honeycomb that has equivalent elastic performance in three main direction has following beneficial effect at least: the three-dimensional structure is provided, the zero Poisson ratio effect and the same equivalent elastic modulus are achieved in the three main shaft directions, the structure is simple, the preparation is convenient, and the application range is wider.
According to some embodiments of the utility model, two liang of verticality between the star type structure, the structure is firm, has guaranteed the ascending zero poisson's ratio effect of three main shaft and the same equivalent bullet shape modulus.
According to some embodiments of the invention, the three-dimensional zero poisson's ratio honeycomb structure is comprised of a plurality of regular hexahedral base units.
According to the utility model discloses a some embodiments, three-dimensional zero poisson ratio honeycomb is piled up at horizontal direction and vertical direction by a plurality of regular hexahedron basic units and is formed, and a plurality of regular hexahedron basic units are the pressure simultaneously, have guaranteed the holistic zero poisson ratio effect of three-dimensional zero poisson ratio honeycomb in all directions, simple structure, the preparation of being convenient for, the range of application is wider.
According to some embodiments of the utility model, the three-dimensional zero poisson's ratio honeycomb is prepared by the 3D printer, and preparation is simple, and the cost is lower.
Additional aspects and advantages of the invention will be set forth in part in the description which follows and, in part, will be obvious from the description, or may be learned by practice of the invention.
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 a regular hexahedral base unit according to an embodiment of the present invention;
FIG. 2 is a schematic structural diagram of a star-shaped structure of the regular hexahedral basic unit shown in FIG. 1;
fig. 3 is a schematic structural diagram of a YX surface before being stressed in the Y direction according to an embodiment of the present invention;
fig. 4 is a schematic structural diagram of the YX surface after being stressed in the Y direction according to the embodiment of the present invention.
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 honeycomb structure with equivalent elastic performance in three main directions of the embodiment of the first aspect of the present invention includes a regular hexahedral base unit 100, and the regular hexahedral base unit 100 is surrounded by six star-shaped structures 110 with the same size and structure and in the two-dimensional concave eight-sided type.
Referring to FIG. 2, the geometrical parameters of the star 110 are the length of the thin rods, i, the angle between the thin rods, θ, and the cross-sectional dimension of the thin rods, t × t, respectively. Since such a regular hexahedral base unit 100 is highly symmetrical in the plane in which the three main directions lie, it is possible to exhibit the same properties in each direction.
Due to symmetry, equivalent elastic properties in all directions are consistent, and one direction is taken for analysis. The 1/8 structure of the regular hexahedral base unit 100 is analyzed, and if the main direction of uniaxial compression is taken as Y direction and the total resultant force of the Y direction is FyThen the displacement in the Y direction is
Wherein
E0And v0Respectively the Young's modulus and Poisson's ratio of the matrix material, and the rod piece 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:
when the regular hexahedron base unit 100 receives a Y-direction load, only the middle node of the diagonal rod will undergo lateral displacement, and the corner points of the hexahedron will not undergo lateral displacement, so the lateral strain becomes 0, and therefore the equivalent poisson's ratio in each direction is 0. The three-dimensional zero-Poisson ratio honeycomb structure has a three-dimensional structure, has a zero-Poisson ratio effect and the same equivalent elastic modulus in the three main shaft directions, and is simple in structure, convenient to prepare and wider in application range.
According to some embodiments of the utility model, two liang of verticality between the star type structure 110, the structure is firm, has guaranteed the ascending zero poisson's ratio effect of three main shaft and the same equivalent bullet shape modulus.
According to some embodiments of the present invention, the three-dimensional zero poisson's ratio honeycomb structure is composed of a plurality of regular hexahedral base units 100.
According to some embodiments of the present invention, the three-dimensional zero poisson's ratio honeycomb structure is formed by stacking a plurality of regular hexahedral base units 100 in the horizontal direction and the vertical direction, analyzing the model in the elastic range through the finite element software ABAQUS \ Standard, establishing an analysis model with a scale of 5 × 5 × 5 with B31 beam units, the matrix material elastic modulus is 1975MPa, and the poisson's ratio is 0.38. The bar l of the mesoscopic structure is 25mm in length, 2.5mm in t, and 60 degrees in inclination angle theta, as shown in fig. 3.
The X-Y plane deformation of the structure is shown in fig. 3 and 4 before and after the displacement load is applied in the Y direction, and it can be seen that no transverse deformation is generated in the X direction, but the other directions are also the same because of the structural symmetry. The plurality of regular hexahedral base units 100 are simultaneously pressed, so that the zero poisson ratio effect of the whole three-dimensional zero poisson ratio honeycomb structure in all directions is guaranteed, the structure is simple, the preparation is convenient, and the application range is wider.
According to some embodiments of the invention, the three-dimensional zero poisson's ratio honeycomb structure is prepared by a 3D printer. Specifically, the metamaterial is prepared by a 3D printer of a Makerbot repeater Z18 type FDM principle, but the preparation of the metamaterial is not limited to the 3D printer of the FDM principle, and the metamaterial can be prepared by a 3D printer of 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 (5)
1. A three-dimensional zero poisson's ratio honeycomb structure having equivalent elastic properties in three main directions, characterized in that: the structure comprises a regular hexahedron basic unit, wherein the regular hexahedron basic unit is formed by surrounding six two-dimensional concave eight-edge star-shaped structures with the same size and structure.
2. The three-dimensional zero-poisson-ratio honeycomb structure having equivalent elastic properties in three main directions according to claim 1, wherein: the star-shaped structures are vertical to each other.
3. The three-dimensional zero-poisson-ratio honeycomb structure having equivalent elastic properties in three main directions according to claim 1 or 2, characterized in that: the three-dimensional zero-Poisson ratio honeycomb structure is composed of a plurality of regular hexahedron basic units.
4. The three-dimensional zero-poisson-ratio honeycomb structure having equivalent elastic properties in three main directions according to claim 3, characterized in that: the three-dimensional zero-Poisson ratio honeycomb structure is formed by stacking a plurality of regular hexahedral basic units in the horizontal direction and the vertical direction.
5. The three-dimensional zero-poisson-ratio honeycomb structure having equivalent elastic properties in three main directions according to claim 1, wherein: the three-dimensional zero poisson's ratio honeycomb structure is prepared by a 3D printer.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110851951A (en) * | 2019-09-27 | 2020-02-28 | 五邑大学 | Three-dimensional zero-Poisson ratio honeycomb structure with equivalent elastic performance in three main directions |
| CN113833792A (en) * | 2021-09-29 | 2021-12-24 | 长安大学 | Star-triangle negative Poisson ratio structure capable of self-adjusting thickness gradient |
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2019
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110851951A (en) * | 2019-09-27 | 2020-02-28 | 五邑大学 | Three-dimensional zero-Poisson ratio honeycomb structure with equivalent elastic performance in three main directions |
| CN110851951B (en) * | 2019-09-27 | 2023-11-24 | 五邑大学 | Three-dimensional zero poisson ratio honeycomb structure with equivalent elastic performance in three main directions |
| CN113833792A (en) * | 2021-09-29 | 2021-12-24 | 长安大学 | Star-triangle negative Poisson ratio structure capable of self-adjusting thickness gradient |
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Granted publication date: 20200612 Termination date: 20210927 |