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CN115419670B - X-shaped negative poisson ratio honeycomb structure - Google Patents

X-shaped negative poisson ratio honeycomb structure Download PDF

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Publication number
CN115419670B
CN115419670B CN202210869555.4A CN202210869555A CN115419670B CN 115419670 B CN115419670 B CN 115419670B CN 202210869555 A CN202210869555 A CN 202210869555A CN 115419670 B CN115419670 B CN 115419670B
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cell walls
shaped
cell
negative poisson
honeycomb structure
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CN115419670A (en
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张威
王慧玲
颜芝
邵俊华
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Wuhan University of Science and Engineering WUSE
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Wuhan University of Science and Engineering WUSE
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F7/00Vibration-dampers; Shock-absorbers
    • F16F7/12Vibration-dampers; Shock-absorbers using plastic deformation of members
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F7/00Vibration-dampers; Shock-absorbers
    • F16F7/12Vibration-dampers; Shock-absorbers using plastic deformation of members
    • F16F7/121Vibration-dampers; Shock-absorbers using plastic deformation of members the members having a cellular, e.g. honeycomb, structure
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F7/00Vibration-dampers; Shock-absorbers
    • F16F7/12Vibration-dampers; Shock-absorbers using plastic deformation of members
    • F16F7/128Vibration-dampers; Shock-absorbers using plastic deformation of members characterised by the members, e.g. a flat strap, yielding through stretching, pulling apart
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F2224/00Materials; Material properties
    • F16F2224/02Materials; Material properties solids
    • F16F2224/0225Cellular, e.g. microcellular foam

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  • Engineering & Computer Science (AREA)
  • General Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Vibration Dampers (AREA)

Abstract

The invention relates to an X-shaped negative Poisson ratio honeycomb structure, which comprises a plurality of X-shaped single cells which are periodically arranged in the same plane, wherein gaps are not reserved between left and right adjacent X-shaped single cells, and diamond gaps are formed between an upper adjacent X-shaped single cell and a lower adjacent X-shaped single cell; the X-shaped unit cell comprises four horizontal cell walls, four long inclined cell walls and four short inclined cell walls, wherein every two long inclined cell walls are connected with each other to form a concave arrow structure and are symmetrically distributed on the left side and the right side of the X-shaped unit cell, every two short inclined cell walls are connected with each other to form a concave bending structure and are symmetrically distributed on the upper side and the lower side of the X-shaped unit cell, and two ends of each horizontal cell wall are respectively connected with the top ends or the bottom ends of the long inclined cell walls and the short inclined cell walls on the same side. The invention has obvious negative poisson ratio effect when being loaded in the vertical direction and the horizontal direction, and compared with the traditional concave hexagonal honeycomb structure, the invention increases the deformation stability, the platform stress and the energy absorption performance of the structure.

Description

X-shaped negative poisson ratio honeycomb structure
Technical Field
The invention relates to the technical field of mechanical metamaterial design, in particular to an X-shaped negative Poisson ratio honeycomb structure.
Background
Honeycomb structures are used as typical bionic structures, and are often manufactured into sandwich structures as bearing or secondary bearing structures for application in the fields of aerospace, transportation and the like due to higher out-of-plane rigidity, lighter weight and excellent mechanical property designability. The cellular structures can be classified into positive poisson ratio cellular structures, zero poisson ratio cellular structures, and negative poisson ratio cellular structures, according to poisson ratio characteristics.
For conventional materials, a negative poisson's ratio material behaves as a transverse contraction (expansion) when subjected to axial stretching (compression), whereas a negative poisson's ratio material behaves as a transverse expansion (contraction) when subjected to axial stretching (compression). The abnormal mechanical property enables the honeycomb structure with the negative poisson ratio to have unique mechanical properties, such as enhanced shearing resistance, indentation resistance, impact resistance, crashworthiness, energy absorption capacity and the like, and has wide application prospects in the fields of automobiles, aerospace, packaging and the like.
The overall mechanical properties of a negative poisson ratio honeycomb are highly dependent on its cell structure; under the action of load, different unit cell structures have obvious influence on mechanical behaviors. The common traditional negative poisson ratio unit cell structure mainly comprises: double arrow structures, concave hexagonal structures, star structures, chiral/achiral structures, etc.
With the development of additive manufacturing technology, the preparation problem of the negative poisson ratio honeycomb structure with a complex structure is effectively solved. At present, researchers have proposed a plurality of novel unit cell structures, but honeycombs formed by some unit cell structures only have a negative poisson ratio effect when loaded in one direction, and the other direction has no negative poisson ratio effect or insignificant effect, weak energy absorption capacity and other problems, and the mechanical properties of the honeycombs cannot meet the application requirements of practical engineering.
Therefore, the new unit cell structure is designed, the negative poisson ratio effect in two directions is realized, the structural stability is enhanced, and the platform stress and the energy absorption capacity are improved.
Disclosure of Invention
Aiming at the defects, the invention provides the X-shaped negative Poisson ratio honeycomb structure, which has obvious negative Poisson ratio effect when being loaded in the vertical direction and the horizontal direction, and compared with the traditional concave hexagonal honeycomb structure, the structural deformation stability, the platform stress and the energy absorption performance are improved.
In order to solve the technical problems, the invention adopts the following technical scheme:
An X-shaped negative poisson ratio honeycomb structure comprises a plurality of X-shaped single cells which are periodically arranged in the same plane, gaps are not formed between left and right adjacent X-shaped single cells, and diamond gaps are formed between upper and lower adjacent X-shaped single cells;
The X-shaped unit cell comprises four horizontal cell walls, four long inclined cell walls and four short inclined cell walls, every two long inclined cell walls are connected with each other to form a concave arrow structure and are symmetrically distributed on the left side and the right side of the X-shaped unit cell, every two short inclined cell walls are connected with each other to form a concave bending structure and are symmetrically distributed on the upper side and the lower side of the X-shaped unit cell, two ends of the horizontal cell walls are respectively connected with the long inclined cell walls and the top ends or the bottom ends of the short inclined cell walls on the same side, and the center of the X-shaped unit cell forms an X-shaped closed area.
Further, two X-shaped single cells adjacent to each other vertically share two horizontal cell walls, and two X-shaped single cells adjacent to each other left and right share one long inclined cell wall.
Further, the length of the horizontal cell wall is less than the length of the long sloped cell wall.
Further, the vertex angles of the two concave arrow structures which are bilaterally symmetrical are not contacted, and the vertex angles of the two concave bending structures which are vertically symmetrical are not contacted.
Further, the wall thickness of the horizontal cell wall and the long inclined cell wall is half of that of the short inclined cell wall.
Further, the cross sections of the horizontal cell wall, the long inclined cell wall and the short inclined cell wall are all rectangular.
Further, the X-shaped unit cell is made of stainless steel, nylon or aluminum alloy.
Further, the X-shaped negative Poisson ratio honeycomb structure is prepared by a 3D printing technology.
After the technical scheme is adopted, compared with the prior art, the invention has the following advantages:
When the X-shaped negative Poisson ratio honeycomb structure is compressed in the vertical direction in a plane, obvious transverse shrinkage deformation occurs, the negative Poisson ratio characteristic is presented, along with the compression, long inclined cell walls of X-shaped cells are rotated and gathered inwards, and concave bending structures of two adjacent X-shaped cells are combined to form a diamond structure, so that the X-shaped negative Poisson ratio honeycomb structure can generate obvious two stage stress stages when compressed in the vertical direction, and the deformation presents obvious stability; the X-shaped negative Poisson ratio honeycomb structure can also generate longitudinal shrinkage deformation when being compressed in the horizontal direction in a plane, but compression in the vertical direction is different from compression in the vertical direction, and the compression is not obvious in two stages of platform stress, but is expressed as a stress enhancement stage;
the X-shaped negative Poisson ratio honeycomb structure has obvious negative Poisson ratio effect when being compressed in the vertical direction and the horizontal direction, improves the shock resistance and the energy absorption performance of the structure compared with the existing negative Poisson ratio structure, and can be applied to the fields of aerospace, protective equipment, automobiles, national defense engineering and the like.
The invention will now be described in detail with reference to the drawings and examples.
Drawings
FIG. 1 is a schematic plan view of an X-type negative Poisson's ratio honeycomb structure of the present invention;
FIG. 2 is a schematic plan view of an X-shaped unit cell structure of the present invention;
FIG. 3 is a schematic plan view of an X-shaped unit cell structure according to an embodiment of the present invention;
FIG. 4 is a schematic diagram of parameters of X-shaped unit cells according to the invention;
FIG. 5 is a schematic view of the vertical finite element loading of the present invention;
FIG. 6 is a schematic diagram of horizontal finite element loading according to the present invention;
FIG. 7 is a graph of a digitally simulated deformation process (sequentially from a to f) of an X-type negative Poisson's ratio honeycomb structure of the present invention when compressed in the vertical direction;
FIG. 8 is a graph of a digitally simulated deformation process (sequentially from a to f) of an X-type negative Poisson's ratio honeycomb structure of the present invention when compressed in the horizontal direction;
FIG. 9 is a graph of nominal stress-strain under vertical compressive loading for an X-type negative Poisson's ratio honeycomb and a conventional concave hexagonal honeycomb under the same parameters;
Fig. 10 is a graph of nominal stress-strain under a horizontal compressive load for an X-type negative poisson's ratio honeycomb and a conventional concave hexagonal honeycomb under the same parameters.
In the drawings, the list of components represented by the various numbers is as follows:
1. X-shaped unit cell; 11. horizontal cell walls; 111. a first horizontal cell wall; 112. a second horizontal cell wall; 113. a third horizontal cell wall; 114. a fourth horizontal cell wall; 12. long inclined cell walls; 121. a first long inclined cell wall; 122. a second elongated sloped cell wall; 123. a third elongated sloped cell wall; 124. fourth long sloped walls; 13. short sloped cell walls; 131. a first short sloped cell wall; 132. a second short sloped cell wall; 133. a third short sloped cell wall; 134. fourth short sloped walls.
Detailed Description
The principles and features of the present invention are described below with reference to the drawings, the examples are illustrated for the purpose of illustrating the invention and are not to be construed as limiting the scope of the invention.
In the description of the present invention, it should be noted that the directions or positional relationships indicated by the terms "center", "upper", "lower", "left", "right", "vertical", "horizontal", "inner", "outer", etc. are based on the directions or positional relationships shown in the drawings, are merely for convenience of describing the present invention and simplifying 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 and 2, an X-type negative poisson ratio honeycomb structure comprises a plurality of X-shaped unit cells 1 which are periodically arranged in the same plane, wherein gaps are not formed between left and right adjacent X-shaped unit cells 1, and diamond gaps are formed between upper and lower adjacent X-shaped unit cells 1;
the X-shaped unit cell 1 comprises four horizontal cell walls 11, four long inclined cell walls 12 and four short inclined cell walls 13, wherein every two long inclined cell walls 12 are connected with each other to form a concave arrow structure and are symmetrically distributed on the left side and the right side of the X-shaped unit cell 1, every two short inclined cell walls 13 are connected with each other to form a concave bending structure and are symmetrically distributed on the upper side and the lower side of the X-shaped unit cell 1, two ends of the horizontal cell walls 11 are respectively connected with the top ends or the bottom ends of the long inclined cell walls 12 and the short inclined cell walls 13 on the same side, and the center of the X-shaped unit cell 1 forms an X-shaped closed area, so that a closed structure which is symmetrical up and down, grooved up and down and concave on the left side and the right side is formed.
As shown in fig. 1, as an embodiment, two X-shaped cells 1 adjacent to each other vertically share two horizontal cell walls 11, and two X-shaped cells 1 adjacent to each other horizontally share one long inclined cell wall 12.
The unit cells are combined by means of copying movement so as to ensure that each unit cell has the same structure and size. The overall size of the honeycomb structure can be adjusted by the length and height of the unit cells and the number of periodic arrangements so as to adapt to different engineering application requirements.
As one embodiment, the length L 3 of the horizontal cell wall 11 is less than the length L 1 of the long sloped cell wall 12.
As an embodiment, the vertex angles of the two concave arrow structures which are bilaterally symmetrical are not contacted, and the vertex angles of the two concave bending structures which are vertically symmetrical are not contacted.
As an embodiment, the wall thickness of the horizontal cell wall 11 and the long inclined cell wall 12 is half the wall thickness t of the short inclined cell wall 13.
As an embodiment, the horizontal cell wall 11, the long inclined cell wall 12 and the short inclined cell wall 13 are rectangular in cross section.
As shown in fig. 4, the length L 1,L1 of the long inclined cell wall 12 is determined by the height H 0 and the angle α, the length L 2,L2 of the short inclined cell wall 13 is determined by the length L 0, the angle β and the length L 3 of the horizontal cell wall, and the calculation formulas of L 1 and L 2 are as follows:
In this example, the specific dimensions of the X-shaped unit cell are: l 1=8mm,L2=5mm,L3 = 4mm, α = 60 °, β = 60 °, t = 1mm.
As one embodiment, the X-shaped unit cell 1 is made of stainless steel, nylon or aluminum alloy.
In the present embodiment, as shown in fig. 3, the horizontal cell walls 11 include a first horizontal cell wall 111, a second horizontal cell wall 112, a third horizontal cell wall 113, and a fourth horizontal cell wall 114, the long inclined cell walls 12 include a first long inclined cell wall 121, a second long inclined cell wall 122, a third long inclined cell wall 123, and a fourth long inclined cell wall 124, and the short inclined cell walls 13 include a first short inclined cell wall 131, a second short inclined cell wall 132, a third short inclined cell wall 133, and a fourth short inclined cell wall 134;
The first long inclined cell wall 121 and the third long inclined cell wall 123 are arranged on the left side of the X-shaped single cell 1, the bottom end of the first long inclined cell wall 121 is connected with the top end of the third long inclined cell wall 123, the first long inclined cell wall 121 and the third long inclined cell wall 123 are combined to form a ' concave arrow structure, the second long inclined cell wall 122 and the fourth long inclined cell wall 124 are arranged on the right side of the X-shaped single cell 1, the bottom end of the second long inclined cell wall 122 is connected with the top end of the fourth long inclined cell wall 124, the second long inclined cell wall 122 and the fourth long inclined cell wall 124 are combined to form a ' concave arrow structure, and the ' concave arrow structure are symmetric left and right;
the first short inclined cell wall 131 and the second short inclined cell wall 132 are arranged on the upper side of the X-shaped single cell 1, the bottom end of the first short inclined cell wall 131 is connected with the bottom end of the second short inclined cell wall 132, the first short inclined cell wall 131 and the second short inclined cell wall 132 are combined to form a V-shaped concave bending structure, the third short inclined cell wall 133 and the fourth short inclined cell wall 134 are arranged on the lower side of the X-shaped single cell 1, the top end of the third short inclined cell wall 133 is connected with the top end of the fourth short inclined cell wall 134, the third short inclined cell wall 133 and the fourth short inclined cell wall 134 are combined to form a V-shaped concave bending structure, and the V-shaped concave bending structure are mutually symmetrical up and down;
The left and right ends of the first horizontal cell wall 111 are respectively connected with the top end of the first long inclined cell wall 121 and the top end of the first short inclined cell wall 131, the left and right ends of the second horizontal cell wall 112 are respectively connected with the top end of the second short inclined cell wall 132 and the top end of the second long inclined cell wall 122, the left and right ends of the third horizontal cell wall 113 are respectively connected with the bottom end of the third long inclined cell wall 123 and the bottom end of the third short inclined cell wall 133, the left and right ends of the fourth horizontal cell wall 114 are respectively connected with the bottom end of the fourth short inclined cell wall 134 and the bottom end of the fourth long inclined cell wall 124, the first horizontal cell wall 111 and the second horizontal cell wall 112 are in the same horizontal plane, and the third horizontal cell wall 113 and the fourth horizontal cell wall 114 are in the same horizontal plane.
In order to compare the energy absorption characteristics of the X-shaped honeycomb structure, a traditional concave hexagonal honeycomb structure is selected for comparison. The numerical simulation calculation is carried out by adopting ABAQUS/Explicit nonlinear dynamic Explicit analysis finite element software. The honeycomb test piece is placed between two rigid plates. The honeycomb material is stainless steel, an ideal elastoplastic material model is adopted, the out-of-plane thickness along the z-axis direction is 5mm, and the rigid plates are defined as rigid bodies. In the calculation process, the honeycomb structure adopts S4R shell units, and 5 integration points are defined along the thickness direction to ensure the calculation precision and convergence. And finally determining the grid size to be 0.8mm through multiple trial calculations and sensitivity analysis. The whole model adopts a general contact algorithm, and the friction coefficient is 0.2.
In order to ensure that the finite element simulation of the X-type honeycomb structure is not influenced by the size effect, as shown in fig. 5, the unit cell numbers in the vertical direction and the horizontal direction are respectively 6 and 11 when being loaded in the vertical direction; as shown in fig. 6, the number of unit cells in the vertical and horizontal directions upon loading in the horizontal direction was 7 and 9, respectively.
As shown in fig. 7, the deformation process of the X-type honeycomb structure is mainly divided into two stages when subjected to a vertical load; a first deformation stage: when the strain exceeds the elastic stage, the long inclined cell walls of the X-shaped honeycomb structure are gathered inwards in a rotating way, an obvious X-shaped deformation band is displayed, and the deformation band is gradually increased and extends to a fixed end and an impact end along with the compression, so that the structure is subjected to transverse shrinkage deformation, and the honeycomb shows an obvious negative Poisson ratio effect. The diamond structure is not changed significantly during rotational deformation of the long inclined cell walls. A second deformation stage: after the vertex angles of the concave arrow structures at the left side and the right side of the X-shaped single cell structure are contacted with the vertex angles of the concave bending structures at the upper side and the lower side, short inclined cell walls forming a diamond structure are mutually contacted and extruded along with the compression, local densification occurs at the left end, the right end and the middle part of the honeycomb close to the impact end and the fixed end, then a V-shaped densification belt is formed, and the densification belt gradually expands towards the fixed end.
As shown in fig. 8, the deformation process of the X-shaped honeycomb structure is equally divided into two stages when subjected to a horizontal load; the first deformation phase is similar to the structural change phenomenon during vertical compression, except that no obvious X-shaped deformation zone appears, but the shrinkage deformation of the integral structure appears, and the honeycomb shows obvious negative Poisson ratio effect. When the long inclined cell walls of some cells are not completely deformed in a rotating way, the diamond structures close to the impact end and the fixed end are obviously changed, the short inclined cell walls are mutually contacted and extruded to form an I-shaped deformation zone, the I-shaped deformation zone diffuses to the middle part along with the compression until all the diamond structures yield, and finally the structures are densified.
As shown in fig. 9 and 10, the nominal stress-strain curves of the honeycomb structure of the present invention and the conventional concave hexagonal honeycomb structure under vertical and horizontal compressive loads are shown, with a loading rate of 0.25m/s. As can be seen from fig. 9, the nominal stress-strain curve of the honeycomb of the present invention has two plateau stress phases when subjected to vertical loading, the first plateau phase: the long inclined cell wall of the X-shaped structure is subjected to rotary deformation, and the second flat step section is formed by: the diamond structure formed by the concave bending structures of two adjacent cells yields under the action of in-plane compression load. As shown in fig. 10, the nominal stress-strain curve of the honeycomb structure of the present invention when subjected to a horizontal load exhibits a stress enhancement phase: the diamond structure near the impact and fixed ends changes significantly when the long inclined walls of some cells are not yet fully deformed by rotation.
Compared with the traditional concave hexagonal honeycomb structure, the invention has the advantages that two stress platform stages appear in the vertical direction compression process, the stress of the platform is larger, the stress enhancement stage appears in the horizontal direction compression process, the energy absorption performance of the structure is obviously enhanced, the deformation is stable, and the shock resistance of the structure is greatly improved.
By adjusting the concave angles alpha and beta of the cells, the horizontal cell wall length L 3 and the wall thickness t, the Young's modulus and Poisson's ratio which change in a larger range can be obtained, so that the in-plane performance of the cells is adjusted.
The foregoing is illustrative of the best mode of carrying out the invention, and is not presented in any detail as is known to those of ordinary skill in the art. The protection scope of the invention is defined by the claims, and any equivalent transformation based on the technical teaching of the invention is also within the protection scope of the invention.

Claims (7)

1. The X-shaped negative poisson ratio honeycomb structure is characterized by comprising a plurality of X-shaped single cells (1) which are periodically arranged in the same plane, wherein gaps are not reserved between left and right adjacent X-shaped single cells (1), and diamond gaps are formed between upper and lower adjacent X-shaped single cells (1);
X shape unit cell (1) includes four horizontal cell walls (11), four long inclined cell walls (12) and four short inclined cell walls (13), every two long inclined cell walls (12) interconnect and form indent arrow structure and symmetric distribution in the left and right sides of X shape unit cell (1), every two short inclined cell walls (13) interconnect and form indent bending structure and symmetric distribution in the upper and lower both sides of X shape unit cell (1), the both ends of horizontal cell wall (11) are connected with the top or the bottom of long inclined cell wall (12) and short inclined cell wall (13) of same side respectively, X shape unit cell (1) center forms an X shape enclosed area.
2. The X-shaped negative poisson ratio honeycomb structure according to claim 1, wherein two X-shaped cells (1) adjacent to each other up and down share two horizontal cell walls (11), and two X-shaped cells (1) adjacent to each other left and right share one long inclined cell wall (12).
3. The X-type negative poisson's ratio honeycomb structure according to claim 1, wherein the length of the horizontal cell walls (11) is smaller than the length of the long inclined cell walls (12).
4. The X-type negative poisson ratio honeycomb structure according to claim 1, wherein the top corners of the two concave arrow structures symmetrical left and right are not contacted, and the top corners of the two concave bent structures symmetrical up and down are not contacted.
5. The X-type negative poisson's ratio honeycomb structure according to claim 1, wherein the wall thickness of the horizontal cell walls (11) and the long inclined cell walls (12) is half the wall thickness of the short inclined cell walls (13).
6. The X-type negative poisson's ratio honeycomb structure according to claim 1, wherein the horizontal cell walls (11), the long inclined cell walls (12) and the short inclined cell walls (13) are rectangular in cross section.
7. The X-shaped negative poisson ratio honeycomb structure according to claim 1, characterized in that the X-shaped unit cell (1) is made of stainless steel, nylon or aluminum alloy.
CN202210869555.4A 2022-07-21 2022-07-21 X-shaped negative poisson ratio honeycomb structure Active CN115419670B (en)

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CN118441822B (en) * 2024-05-29 2024-10-11 西南石油大学 Curved honeycomb structure with negative poisson ratio effect and curved structure

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