CN112728392A - Two-dimensional multi-cellular structure with multiple moduli and negative Poisson ratio properties - Google Patents
Two-dimensional multi-cellular structure with multiple moduli and negative Poisson ratio properties Download PDFInfo
- Publication number
- CN112728392A CN112728392A CN202011493191.1A CN202011493191A CN112728392A CN 112728392 A CN112728392 A CN 112728392A CN 202011493191 A CN202011493191 A CN 202011493191A CN 112728392 A CN112728392 A CN 112728392A
- Authority
- CN
- China
- Prior art keywords
- dimensional
- modulus
- negative poisson
- ratio
- cellular structure
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
Images
Classifications
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16S—CONSTRUCTIONAL ELEMENTS IN GENERAL; STRUCTURES BUILT-UP FROM SUCH ELEMENTS, IN GENERAL
- F16S1/00—Sheets, panels, or other members of similar proportions; Constructions comprising assemblies of such members
- F16S1/10—Composite members, e.g. with ribs or flanges attached
Abstract
The invention discloses a two-dimensional multi-cell structure with multiple moduli and negative Poisson ratio properties, which has greatly different tensile and compressive elastic moduli along the horizontal and vertical directions and has the negative Poisson ratio properties along the vertical direction, and the two-dimensional multi-cell structure is a continuous plane unit consisting of a rod piece and a rope; the single two-dimensional unit cell structure is in a parallelogram shape and is provided with two diagonals, wherein a frame in the parallelogram shape is formed by rod pieces, and the two diagonals are respectively formed by ropes. The invention creatively solves the problems that some materials in the nature only have two types of tension-compression elastic modulus which are very different and mostly do not have negative Poisson's ratio property, and further expands the research field of metamaterials.
Description
Technical Field
The invention relates to the technical field of metamaterials, in particular to a two-dimensional multi-cell structure with various moduli and negative Poisson's ratio properties.
Background
The metamaterial refers to an artificial composite material with extraordinary physical properties which is not possessed by natural materials and designed by people on the premise of not violating the laws of physics. The properties of metamaterials are determined not only by the properties of the base materials they are composed of, but also by the structure into which they are designed. The research of the metamaterial is interdisciplinary and relates to the fields of electromagnetism, optics, heat, acoustics, mechanics and the like.
Bimodal materials refer to a class of materials that have different stress-strain relationships in tension and compression. The material has different elastic moduli of tension and compression, and has great application potential in various fields of programmable materials, wave regulation, intelligent materials and the like. The negative poisson's ratio material is used as a common mechanical metamaterial, and refers to that when the material is stretched, the material expands transversely, and when the material is compressed, the material contracts transversely. The material has excellent shear resistance, indentation resistance and energy absorption capacity. In addition, the negative Poisson ratio material is also widely applied to the fields of design of sensors and actuators, medical equipment, design of new functional structures and the like. And the existing double-modulus materials in nature, such as reinforced concrete, ceramics, metals and the like, have only two identical and slightly different tensile and compression elastic moduli along the horizontal direction and the vertical direction, and mostly do not have negative Poisson's ratio property. The field of metamaterials is that materials with significantly different elastic moduli, in terms of stretching and compression in different directions respectively, and with negative poisson's ratio properties are rather limited.
Disclosure of Invention
In view of the above problems, the present invention proposes a two-dimensional multicellular structure having properties of various moduli and negative poisson's ratios, which are significantly different in poisson's ratios and young's moduli in tension and compression in horizontal and vertical directions, and positive poisson's ratio in tension and negative poisson's ratio in compression in the vertical direction. Therefore, the problems that some materials in the nature only have two types of tensile and compression elastic moduli which are very different from each other and mostly do not have negative Poisson's ratio property are creatively solved, and the research field of the metamaterial is further expanded.
In order to achieve the purpose, the invention adopts the following technical scheme:
a two-dimensional cellular structure with multiple modulus and negative poisson's ratio properties, said two-dimensional cellular structure being a continuous planar unit of rods and ropes; the single two-dimensional unit cell structure is in a parallelogram shape and is provided with two diagonals, wherein a frame in the parallelogram shape is formed by rod pieces, and the two diagonals are respectively formed by ropes.
It should be noted that the single two-dimensional unit cell structure is repeatedly arranged along the rods in the horizontal direction, and is continuously mirrored in the vertical direction perpendicular to the rods in the horizontal direction to obtain the two-dimensional material.
It should be noted that the poisson's ratio and young's modulus for horizontal and vertical stretching and compression of the two-dimensional material are significantly different.
The invention also provides another two-dimensional single-cell structure with various moduli and negative Poisson ratio properties, wherein the two-dimensional single-cell structure is a continuous plane unit consisting of a rod piece and a rope; the single two-dimensional unit cell structure is in a parallelogram shape and is provided with a diagonal line, wherein a frame in the parallelogram shape is formed by rod pieces, and the diagonal line is formed by ropes and can be any diagonal line.
It should be noted that the single two-dimensional unit cell structure is repeatedly arranged along the rods in the horizontal direction, and is continuously mirrored in the vertical direction perpendicular to the rods in the horizontal direction to obtain the two-dimensional material.
It should be noted that the poisson's ratio and young's modulus for horizontal and vertical stretching and compression of the two-dimensional material are significantly different.
The invention also provides a two-dimensional single-cell structure with various moduli and negative Poisson ratio properties, wherein the two-dimensional single-cell structure is a continuous plane unit consisting of a rod piece and a rope; the single two-dimensional unit cell structure is in a parallelogram shape and is provided with a diagonal line, wherein the parallel side in the horizontal direction of the parallelogram shape is formed by ropes, the inclined side is formed by rod pieces, and the diagonal line is formed by the rod pieces and can be any diagonal line.
It should be noted that the single two-dimensional unit cell structure is repeatedly arranged along the ropes in the horizontal direction and continuously mirrored along the vertical direction perpendicular to the rods in the horizontal direction to obtain a two-dimensional material.
It should be noted that the poisson's ratio and young's modulus for horizontal and vertical stretching and compression of the two-dimensional material are significantly different.
The invention has the advantages that a plane structure formed by the rod pieces and the ropes is adopted as a two-dimensional unit cell structure, wherein the parallelogram frame is formed by the rod pieces, and two diagonal lines are formed by the ropes. When stretched or compressed in the horizontal or vertical direction, the poisson's ratio and young's modulus for stretching and compressing in the horizontal and vertical directions are significantly different because the diagonal of the rope can only withstand stretching and not compression. When compressed in the vertical direction, the poisson's ratio when compressed in the vertical direction is negative as the equivalent length of the single cell in the horizontal direction decreases due to the greater axial shortening of the horizontal bars. Therefore, the invention has excellent programmable performance, and has very bright engineering application prospect in various fields such as wave regulation, sensor and actuator design, biomedical equipment and the like.
Drawings
FIG. 1 is a schematic diagram of a two-dimensional multi-cell structure according to a first embodiment of the present invention;
FIG. 2 is a schematic diagram of a two-dimensional cell structure according to a first embodiment of the invention;
FIG. 3 is a schematic diagram of a two-dimensional multi-cell structure according to a second embodiment of the present invention;
FIG. 4 is a schematic diagram of a two-dimensional cell structure according to a second embodiment of the present invention;
FIG. 5 is a schematic diagram of a two-dimensional multi-cell structure according to a third embodiment of the present invention;
FIG. 6 is a schematic diagram of a two-dimensional cell structure according to a third embodiment of the present invention;
FIG. 7(a-b) is a diagram of a numerical simulation analysis according to a first embodiment of the present invention, in which FIG. 7a shows Poisson's ratio when stretching and compressing along the x-axis direction respectively
FIG. 7b shows Poisson's ratio for tensile and compressive forces, respectively, along the y-axis
Wherein v+Poisson ratio, v, representing stretch-Representing the compressed poisson's ratio;
FIG. 8(a-b) is a drawing showing a first embodiment of the present inventionNumerical simulation analysis chart, in which FIG. 8a shows Young's modulus in the case of being stretched and compressed in the x-axis direction, respectively
FIG. 8b shows Young's moduli when stretched and compressed, respectively, in the y-axis direction
Wherein E+Denotes the Young's modulus in tension, E-The young's modulus in compression is indicated.
Detailed Description
The present invention will be further described with reference to the accompanying drawings, and it should be noted that the present embodiment is based on the technical solution, and the detailed implementation and the specific operation process are provided, but the protection scope of the present invention is not limited to the present embodiment.
The invention relates to a two-dimensional single-cell structure with multiple moduli and negative Poisson ratio properties, which is a continuous plane unit consisting of a rod piece and a rope; the single two-dimensional unit cell structure is in a parallelogram shape and is provided with two diagonals, wherein a frame in the parallelogram shape is formed by rod pieces, and the two diagonals are respectively formed by ropes.
It should be noted that the single two-dimensional unit cell structure is repeatedly arranged along the rods in the horizontal direction, and is continuously mirrored in the vertical direction perpendicular to the rods in the horizontal direction to obtain the two-dimensional material.
It should be noted that the poisson's ratio and young's modulus for horizontal and vertical stretching and compression of the two-dimensional material are significantly different.
Furthermore, the invention also provides another two-dimensional single-cell structure with various modulus and negative Poisson ratio properties, wherein the two-dimensional single-cell structure is a continuous plane unit consisting of a rod piece and a rope; the single two-dimensional unit cell structure is in a parallelogram shape and is provided with a diagonal line, wherein a frame in the parallelogram shape is formed by rod pieces, and the diagonal line is formed by ropes and can be any diagonal line.
It should be noted that the single two-dimensional unit cell structure is repeatedly arranged along the rods in the horizontal direction, and is continuously mirrored in the vertical direction perpendicular to the rods in the horizontal direction to obtain the two-dimensional material.
It should be noted that the poisson's ratio and young's modulus for horizontal and vertical stretching and compression of the two-dimensional material are significantly different.
Furthermore, the invention also provides a two-dimensional single-cell structure with various modulus and negative Poisson ratio properties, wherein the two-dimensional single-cell structure is a continuous plane unit consisting of a rod piece and a rope; the single two-dimensional unit cell structure is in a parallelogram shape and is provided with a diagonal line, wherein the parallel side in the horizontal direction of the parallelogram shape is formed by ropes, the inclined side is formed by rod pieces, and the diagonal line is formed by the rod pieces and can be any diagonal line.
It should be noted that the single two-dimensional unit cell structure is repeatedly arranged along the ropes in the horizontal direction and continuously mirrored along the vertical direction perpendicular to the rods in the horizontal direction to obtain a two-dimensional material.
It should be noted that the poisson's ratio and young's modulus for horizontal and vertical stretching and compression of the two-dimensional material are significantly different.
It should be noted that, based on the two-dimensional material with the above structure, the geometric and material parameters of the materials forming the rod and the rope are adjustable, and the splicing included angle between the rod and the rope is adjustable.
Example 1
As shown in fig. 1, this embodiment discloses a two-dimensional multi-cell structure with various modulus and negative poisson ratio properties, which is a planar unit composed of rods and ropes, wherein the parallelogram frame of the planar unit is composed of rods, and two diagonal lines are composed of ropes, so that the diagonal lines can only bear tension but not compression. The cells are repeatedly arranged in a horizontal direction (x-axis direction) and are continuously mirrored in a vertical direction (y-axis direction) perpendicular to the horizontal direction to obtain a two-dimensional material.
As shown in FIG. 2, with twoThe centroid of the wiener cell structure is the origin to establish a Cartesian coordinate system, with the x-axis horizontally to the right and the y-axis vertically upward. Order to
The length of rods AD and BC is L1The cross-sectional area is A1Young's modulus is E1. The length of the rods AB and CD is L2The cross-sectional area is A2Young's modulus is E2. The length of the rope AC being L3The cross-sectional area is A3Young's modulus in tension is E3. The length of the rope BD is L4The cross-sectional area is A4Young's modulus in tension is E4. According to the geometric characteristics of the unit cell structure, when
When continuously changed, the Poisson's ratio and Young's modulus of the structure are continuously changed, because
Cell and corresponding
The cell is mirror symmetric, so the structure Poisson's ratio and Young's modulus are also related to
Are equal.
Example 2
As shown in fig. 3, the present embodiment discloses a two-dimensional cellular structure having various modulus and negative poisson's ratio properties, which is a planar unit composed of rods and ropes, wherein the parallelogram frame of the planar unit is composed of rods, and one diagonal is composed of ropes, so that the diagonal can only endure tension and not compression. The cells are repeatedly arranged in a horizontal direction (x-axis direction) and are continuously mirrored in a vertical direction (y-axis direction) perpendicular to the horizontal direction to obtain a two-dimensional material.
As shown in FIG. 4, flute is established by taking centroid of two-dimensional unit cell structure as originKarl coordinate system, x-axis horizontal to the right, y-axis vertical up. Order to
The length of rods AD and BC is L1The cross-sectional area is A1Young's modulus is E1. The length of the rods AB and CD is L2The cross-sectional area is A2Young's modulus is E2. The length of the rope AC being L3The cross-sectional area and the Young's modulus in tension are respectively A3And E3。
Example 3
As shown in fig. 5, the present embodiment discloses a two-dimensional cellular structure having various modulus and negative poisson's ratio properties, the two-dimensional cellular structure is a parallelogram shape composed of a bar and a rope, the parallel sides in the horizontal direction of the parallelogram shape are composed of the rope, and the oblique sides are composed of the bar, so that the horizontal rope can only bear tension but not compression. The cells are repeatedly arranged in a horizontal direction (x-axis direction) and are continuously mirrored in a vertical direction (y-axis direction) perpendicular to the horizontal direction to obtain a two-dimensional material.
As shown in fig. 6, a cartesian coordinate system is established with the centroid of the two-dimensional unit cell structure as the origin, with the x-axis horizontally to the right and the y-axis vertically to the up. Order to
The lengths of the ropes AD and BC are L1The cross-sectional area is A1The Young's modulus in tension is E1. The length of the rods AB and CD is L2The cross-sectional area is A2Young's modulus is E2. The length of the rod AC is L3Cross sectional area A3Young's modulus of E3。
Simulation test
A Cartesian coordinate system is established by taking the centroid of the two-dimensional unit cell structure as an origin, the x axis is horizontally towards the right, and the y axis is vertically upwards. Order to
The length of rods AD and BC is L1Cross sectional areaIs A1Young's modulus is E1. The length of the rods AB and CD is L2The cross-sectional area is A2Young's modulus is E2. The length of the rope AC being L3The cross-sectional area is A3Young's modulus in tension is E3. The length of the rope BD is L4The cross-sectional area is A4Young's modulus in tension is E4. According to the geometric characteristics of the unit cell structure, when
When continuously changed, the Poisson's ratio and Young's modulus of the structure are continuously changed, because
Cell and corresponding
The cell is mirror symmetric, so the structure Poisson's ratio and Young's modulus are also related to
Are equal.
Finite element numerical simulations were performed using ANSYS16.0 software using a model having 30 layers of cells in the x-axis direction and 8 layers of cells in the y-axis direction. The rods AB, BC, CD and AD use Beam189 cells, the mesh size divided is 0.5mm, the material used is carbon steel, the modulus of elasticity is: e1＝E2200 GPa. To ensure that the ropes AC and BD can only withstand tension and not compression, a Link180 unit is used and the unit attribute is set to "TensionOnly". The material used is a steel wire rope with a tensile elastic modulus of E3＝E4123 GPa. The geometrical parameters of the rod and the rope are as follows: l is1＝30mm，L220mm, the cross-sectional area is unified to 2.25mm2,
Respectively taking 60 degrees, 70 degrees, 80 degrees, 90 degrees, 100 degrees, 110 degrees and 120 degrees. During the calculation, the 'LargeDisplacement Static' switches are turned on and respectively along the x-axisUniaxial stretching and compressing the structure in the directions and the y-axis direction, and measuring the Poisson ratio and Young modulus of the stretched and compressed structure
Wherein v+，E+Respectively representing the Poisson's ratio and Young's modulus in tension, v-，E-Respectively representing the poisson's ratio and young's modulus of compression. The results of the numerical simulation analysis are shown in fig. 7 and 8, where fig. 7a and 7b reflect that the materials have significantly different poisson's ratios when stretched and compressed in the horizontal and vertical directions, respectively. FIG. 7b shows that the Poisson's ratio is positive when stretched in the y-direction and negative when compressed. Figures 8a and 8b reflect that the material has a significantly different young's modulus when stretched and compressed in the horizontal and vertical directions, and that the young's modulus in tension is greater than the young's modulus in compression.
Finally, FIGS. 7 and 8 also reflect the elastic parameters of the material with respect to
Are equal.
Various corresponding changes and modifications can be made by those skilled in the art based on the above technical solutions and concepts, and all such changes and modifications should be included in the protection scope of the present invention.
Claims (9)
1. A two-dimensional cellular structure having a plurality of modulus and negative poisson's ratio properties, wherein said two-dimensional cellular structure is a continuous planar unit of rods and ropes; the single two-dimensional unit cell structure is in a parallelogram shape and is provided with two diagonals, wherein a frame in the parallelogram shape is formed by rod pieces, and the two diagonals are respectively formed by ropes.
2. A two-dimensional cellular structure with multiple modulus and negative poisson's ratio properties according to claim 1, wherein a single said two-dimensional cellular structure is repeatedly arranged along the bars in the horizontal direction and is continuously mirrored along the vertical direction perpendicular to the bars in the horizontal direction to obtain a two-dimensional material.
3. A two-dimensional multicellular structure having a plurality of modulus and negative poisson's ratio properties as recited in claim 2 wherein the poisson's ratios and young's moduli for tension and compression along the horizontal and vertical directions of the two-dimensional material are substantially different.
4. A two-dimensional cellular structure having a plurality of modulus and negative poisson's ratio properties, wherein said two-dimensional cellular structure is a continuous planar unit of rods and ropes; the single two-dimensional unit cell structure is in a parallelogram shape and is provided with a diagonal line, wherein a frame in the parallelogram shape is formed by rod pieces, and the diagonal line is formed by ropes and can be any diagonal line.
5. The two-dimensional cellular structure with multiple modulus and negative Poisson's ratio properties of claim 4, wherein a single two-dimensional cellular structure is repeatedly arranged along the rods in the horizontal direction and continuously mirrored along the vertical direction perpendicular to the rods in the horizontal direction to obtain a two-dimensional material.
6. A two-dimensional multicellular structure having a plurality of modulus and negative Poisson's ratio properties as recited in claim 5 wherein the Poisson's ratio and Young's modulus for horizontal and vertical directions in tension and compression of the two-dimensional material are substantially different.
7. A two-dimensional cellular structure having a plurality of modulus and negative poisson's ratio properties, wherein said two-dimensional cellular structure is a continuous planar unit of rods and ropes; the single two-dimensional unit cell structure is in a parallelogram shape and is provided with a diagonal line, wherein the parallel side in the horizontal direction of the parallelogram shape is formed by ropes, the inclined side is formed by rod pieces, and the diagonal line is formed by the rod pieces and can be any diagonal line.
8. A two-dimensional cellular structure with multiple modulus and negative Poisson's ratio properties according to claim 7, wherein a single two-dimensional cellular structure is repeatedly arranged along the rope in the horizontal direction and continuously mirrored in the vertical direction perpendicular to the horizontal direction to obtain a two-dimensional material.
9. A two-dimensional multicellular structure having a plurality of modulus and negative Poisson's ratio properties as recited in claim 7 wherein the Poisson's ratio and Young's modulus for horizontal and vertical directions in tension and compression of the two-dimensional material are substantially different.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202011493191.1A CN112728392A (en) | 2020-12-17 | 2020-12-17 | Two-dimensional multi-cellular structure with multiple moduli and negative Poisson ratio properties |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202011493191.1A CN112728392A (en) | 2020-12-17 | 2020-12-17 | Two-dimensional multi-cellular structure with multiple moduli and negative Poisson ratio properties |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN112728392A true CN112728392A (en) | 2021-04-30 |
Family
ID=75602638
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202011493191.1A Pending CN112728392A (en) | 2020-12-17 | 2020-12-17 | Two-dimensional multi-cellular structure with multiple moduli and negative Poisson ratio properties |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN112728392A (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN113864630A (en) * | 2021-09-30 | 2021-12-31 | 北京科技大学 | Light egg-box type unit cell with in-plane negative Poisson ratio characteristic and preparation |
Citations (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US4668557A (en) * | 1986-07-18 | 1987-05-26 | The University Of Iowa Research Foundation | Polyhedron cell structure and method of making same |
| US20170058985A1 (en) * | 2015-08-27 | 2017-03-02 | Airbus Operations S.L. | Deformable structure for absorption of energy from mechanical and/or acoustic impacts |
| CN106525583A (en) * | 2016-11-10 | 2017-03-22 | 南京林业大学 | Test method applying compressing load and stretching load in vertical direction and horizontal direction simultaneously |
| CN109707985A (en) * | 2018-12-06 | 2019-05-03 | 西北工业大学 | Endergonic structure |
| CN110389070A (en) * | 2019-06-14 | 2019-10-29 | 重庆大学 | The research method and lattice material that the pose of lattice structure influences material mechanical performance |
| CN110518160A (en) * | 2019-07-15 | 2019-11-29 | 南京航空航天大学 | A kind of shock-absorbing heat dissipation batteries of electric automobile based on negative poisson's ratio material |
| CN111659892A (en) * | 2020-05-29 | 2020-09-15 | 同济大学 | Composite energy absorption structure based on diagonal unit precipitation type micro-truss structure and 3D printing method thereof |
| CN111950095A (en) * | 2020-07-09 | 2020-11-17 | 中山大学 | Three-dimensional multi-cell structure with adjustable Poisson's ratio and thermal expansion coefficient |
-
2020
- 2020-12-17 CN CN202011493191.1A patent/CN112728392A/en active Pending
Patent Citations (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US4668557A (en) * | 1986-07-18 | 1987-05-26 | The University Of Iowa Research Foundation | Polyhedron cell structure and method of making same |
| US20170058985A1 (en) * | 2015-08-27 | 2017-03-02 | Airbus Operations S.L. | Deformable structure for absorption of energy from mechanical and/or acoustic impacts |
| CN106525583A (en) * | 2016-11-10 | 2017-03-22 | 南京林业大学 | Test method applying compressing load and stretching load in vertical direction and horizontal direction simultaneously |
| CN109707985A (en) * | 2018-12-06 | 2019-05-03 | 西北工业大学 | Endergonic structure |
| CN110389070A (en) * | 2019-06-14 | 2019-10-29 | 重庆大学 | The research method and lattice material that the pose of lattice structure influences material mechanical performance |
| CN110518160A (en) * | 2019-07-15 | 2019-11-29 | 南京航空航天大学 | A kind of shock-absorbing heat dissipation batteries of electric automobile based on negative poisson's ratio material |
| CN111659892A (en) * | 2020-05-29 | 2020-09-15 | 同济大学 | Composite energy absorption structure based on diagonal unit precipitation type micro-truss structure and 3D printing method thereof |
| CN111950095A (en) * | 2020-07-09 | 2020-11-17 | 中山大学 | Three-dimensional multi-cell structure with adjustable Poisson's ratio and thermal expansion coefficient |
Non-Patent Citations (2)
| Title |
|---|
| 于靖军等: "负泊松比超材料研究进展", 《机械工程学报》 * |
| 卢子兴等: "一种有负泊松比效应的二维多胞材料力学模型", 《北京航空航天大学学报》 * |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN113864630A (en) * | 2021-09-30 | 2021-12-31 | 北京科技大学 | Light egg-box type unit cell with in-plane negative Poisson ratio characteristic and preparation |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN111950095B (en) | Three-dimensional multicellular structure with adjustable poisson ratio and thermal expansion coefficient | |
| Carta et al. | Design of a porous material with isotropic negative Poisson’s ratio | |
| Ren et al. | Design and characterisation of a tuneable 3D buckling-induced auxetic metamaterial | |
| Liu et al. | Design optimization of truss-cored sandwiches with homogenization | |
| Li et al. | Low-velocity impact response of sandwich plates with GRC face sheets and FG auxetic 3D lattice cores | |
| Zhu et al. | A novel enhanced anti-tetra-missing rib auxetic structure with tailorable in-plane mechanical properties | |
| Hu et al. | Deformation behavior and band gap switching function of 4D printed multi-stable metamaterials | |
| Vangelatos et al. | Anisotropic and curved lattice members enhance the structural integrity and mechanical performance of architected metamaterials | |
| Zhu et al. | Enhanced hexa-missing rib auxetics for achieving targeted constant NPR and in-plane isotropy at finite deformation | |
| CN107401218B (en) | A kind of lattice material with gradient negative poisson's ratio characteristic | |
| Sadeghzade et al. | Experimental and analytical studies of mechanical properties of additively manufactured lattice structure based on octagonal bipyramid cubic unit cell | |
| Dong | Mechanical responses of Ti-6Al-4V cuboctahedral truss lattice structures | |
| Li et al. | A synergistic design of composite metamaterial with drastically tailorable thermal expansion and Poisson's ratio | |
| CN112728392A (en) | Two-dimensional multi-cellular structure with multiple moduli and negative Poisson ratio properties | |
| Nian et al. | 3D printing functionally graded metamaterial structure: Design, fabrication, reinforcement, optimization | |
| Li et al. | Study on mechanical properties of an isotropic negative Poisson’s ratio Voronoi foam and its foam-filled tube | |
| CN111881531A (en) | Elastic parameter calculation and dimensionless design method for four-side concave pyramid lattice structure | |
| Fan et al. | Mechanical properties of a novel two-phase hybrid plate-lattice metamaterial | |
| CN108389258A (en) | A kind of big stiffness porous negative poisson's ratio cell element of bi-material layers and its structure member | |
| Wang et al. | Tunable compression-torsion coupling effect in novel cylindrical tubular metamaterial architected with boomerang-shaped tetrachiral elements | |
| Orhan et al. | Numerical investigation of the mechanical properties of 2D and 3D auxetic structures | |
| Montazeri et al. | Enhancing the compressive properties of re-entrant honeycombs by line defects with insight from nature | |
| Fan et al. | Mechanical properties of lattice grid composites | |
| Zhang et al. | Experimental and simulated compressive properties of work-hardened X-type lattice truss structures | |
| Liu et al. | 3D printing auxetic draft-angle structures towards tunable buckling complexity |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| RJ01 | Rejection of invention patent application after publication |
Application publication date: 20210430 |
|
| RJ01 | Rejection of invention patent application after publication |