Zero Poisson's ratio structure and a planar structure of zero Poisson's ratio in which the structure is matrixed in a plane

A planar array of structures of a zero Poisson's ratio arranged in a matrix form and in a plane, wherein the array comprises:

• central pillars arranged in a matrix form and spaced from each other by a regular spacing;
• four branched connectors extending from a lower end of each central pillar in a radial direction and toward a central pillar adjacent thereto,
• wherein the four branched connectors are spaced from each other by an equal angular spacing,
• wherein each of the branched connectors includes:
• a first segmental portion extending inclinedly upwardly or downwardly from the central pillar;
• and
• a second segmental portion extending inclinedly downwardly or upwardly from a distal point of the first segmental portion,
• wherein the extension directions of the first and second segmental portions are opposite to each other;
• and legs extending perpendicularly downwardly from distal points of the second segmental portions, respectively,
• wherein the legs include non-sharing legs positioned at each of outer edges of the matrix form, and each sharing leg positioned between adjacent two central pillars and connected to two second segmental portions respectively extending from the adjacent two central pillars,
• wherein due to a force pressing the central pillar, each of an angle between the central pillar and the first segmental portion, an angle between the first segmental portion and the second segmental portion, and an angle between the second segmental portion and the leg is variable, and
• wherein each of the structures has a modulus of elasticity in a range of Kilo to Mega Pascal.

A cylindrical array in which structures of a zero Poisson's ratio are arranged in a three dimensional manner,

• wherein the array comprises:
• central pillars arranged in circumferential and length directions and on an outer face of an imaginary cylinder, wherein a top face of each central pillar faces inwardly of the cylinder;
• and
• four branched connectors extending radially and outwardly from each of the central pillars and toward a central pillar adjacent thereto, wherein the four branched connectors are spaced from each other by an equal angular spacing,
• wherein each branched connector includes:
• a first segmental portion extending inclinedly upwardly or downwardly from the central pillar;
• and
• a second segmental portion extending inclinedly downwardly or upwardly from a distal point of the first segmental portion,
• wherein the extension directions of the first and second segmental portions are opposite to each other,
• wherein each of an angle between the central pillar and the first segmental portion, and an angle between the first segmental portion and the second segmental portion is variable due to a force applied to the array, and
• wherein each of the structures has a modulus of elasticity in a range of Kilo to Mega Pascal.

A cylindrical array in which structures of a zero Poisson's ratio are arranged in a three dimensional manner,

• wherein the array comprises:
• central pillars arranged in circumferential and length directions and on an outer face of an imaginary cylinder, wherein a top face of each central pillar faces outwardly of the cylinder;
• and
• four branched connectors extending radially and inwardly from each of the central pillars and toward a central pillar adjacent thereto, wherein the four branched connectors are spaced from each other by an equal angular spacing,
• wherein each branched connector includes:
• a first segmental portion extending inclinedly upwardly or downwardly from the central pillar;
• and
• a second segmental portion extending inclinedly downwardly or upwardly from a distal point of the first segmental portion, wherein the extension directions of the first and second segmental portions are opposite to each other,
• wherein each of an angle between the central pillar and the first segmental portion, and an angle between the first segmental portion and the second segmental portion is variable due to a force applied to the array, and
• wherein each of the structures has a modulus of elasticity in a range of Kilo to Mega Pascal.