Bullet with negative Poisson's ratio effect and method of designing thereof

Abstract

The present invention discloses a bullet with a negative Poisson's ratio effect and a method of designing thereof. The bullet includes a cylindrical section of the bullet having a negative Poisson's ratio design, and a conical tail of the bullet and a tip of the bullet each with a matching design; the cylindrical section of the bullet is a tubular structure having periodically alternating transverse and vertical holes; the tubular structure includes a plurality of holes, with a center axis of one hole being axially perpendicular to a center axis of another adjacent hole, that is, the axis of each hole being structurally orthogonal to an adjacent hole; and the holes in rows and columns are periodically arranged into the tubular structure, which is a tubular structure having the negative Poisson's ratio effect.

Claims

1. A bullet, comprising: a cylindrical section of the bullet having a negative Poisson's ratio, and a conical tail of the bullet and a tip of the bullet, wherein: the cylindrical section of the bullet is a tubular structure having periodically alternating transverse and vertical holes; wherein for each of the alternating transverse and vertical holes, a center axis of one of the alternating transverse and vertical holes is axially perpendicular to a center axis of another adjacent hole, the holes are arranged in an array of rows and columns, with two mutually perpendicular holes between each alternating row and each alternating column, that is, the axis of each hole is structurally orthogonal to an adjacent hole, and the holes in the rows and columns are periodically arranged into the tubular structure, which is a tubular structure having the negative Poisson's ratio; a relationship between a length M of the tip of the bullet and a diameter D of the bullet satisfies the following: 3.08>M/D>2.23; a relationship between a total length H of the bullet and the diameter D of the bullet satisfies the following: 5.4>H/D>3.28; a relationship between the diameter D of the bullet and a thickness N of a housing of the conical tail of the bullet satisfies the following: 3>D/N>1.5; and a relationship between a length L of the cylindrical section of the bullet and a thickness T of a round tube of the cylindrical section of the bullet satisfies the following: L/T>0.05.

2. The bullet according to claim 1, wherein the holes comprise elliptic, triangular and polygonal holes.

3. A method of fabricating the bullet according to claim 2, comprising the following steps: 1) determining shapes and sizes of individual components of the bullet according to the usage of the bullet, comprising: the total length of the bullet, the length of the cylindrical section of the bullet, the length of the tip of the bullet, the length of the conical tail of the bullet and the diameter of the bullet; 2) designing the tubular structure of the cylindrical section of the bullet with periodically alternating transverse and vertical holes, matching a designed negative Poisson's ratio tubular structure with the conical tail of the bullet and the tip of the bullet, and based thereon, determining sizes of the tubular structure of the cylindrical section of the bullet, the conical tail of the bullet, and the tip of the bullet to establish a three-dimensional model; and 3) fabricating the bullet by using a 3D metal printing technology, and conducting actual experimental tests to verify whether the bullet meets characteristics of reducing energy loss due to frictions between the bullet and a gun barrel.

4. A method of fabricating the bullet according to claim 1, comprising the following steps: 1) determining shapes and sizes of individual components of the bullet according to the usage of the bullet, comprising: the total length of the bullet, the length of the cylindrical section of the bullet, the length of the tip of the bullet, the length of the conical tail of the bullet and the diameter of the bullet; 2) designing the tubular structure of the cylindrical section of the bullet with periodically alternating transverse and vertical holes, matching a designed negative Poisson's ratio tubular structure with the conical tail of the bullet and the tip of the bullet, and based thereon, determining sizes of the tubular structure of the cylindrical section of the bullet, the conical tail of the bullet, and the tip of the bullet to establish a three-dimensional model; and 3) fabricating the bullet by using a 3D metal printing technology, and conducting actual experimental tests to verify whether the bullet meets characteristics of reducing energy loss due to frictions between the bullet and a gun barrel.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

(1) FIG. 1 is a schematic diagram of the structure of a bullet with a negative Poisson's ratio effect.

(2) FIG. 2 is a cross-sectional view of FIG. 1.

(3) FIG. 3a is a plan view of a two-dimensional hole structure.

(4) FIG. 3b shows a tubular structure after coordinate transformation.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

(5) The present invention will be further described below in combination with particular embodiments and accompanying drawings.

(6) As shown in FIGS. 1 and 2, a bullet with a negative Poisson's ratio effect includes: a cylindrical section of the bullet 2 having a negative Poisson's ratio design, and a conical tail of the bullet 1 and a tip of the bullet 3 each with a matching design.

(7) The cylindrical section of the bullet 2 is a tubular structure having periodically alternating transverse and vertical holes.

(8) The tubular structure includes a plurality of holes; a center axis of one hole is axially perpendicular to a center axis of another adjacent hole; the holes are arranged in an array of rows and columns, with two mutually perpendicular holes between each alternating row and each alternating column, that is, the axis of each hole is structurally orthogonal to an adjacent hole; and the holes in the rows and columns are periodically arranged into the tubular structure, which is a tubular structure having the negative Poisson's ratio effect;

(9) A relationship between a length M of the tip of the bullet 3 and a diameter D of the bullet satisfies the following: 3.08>M/D>2.23;

(10) A relationship between a total length H of the bullet and the diameter D of the bullet satisfies the following: 5.4>H/D>3.28;

(11) A relationship between the diameter D of the bullet and a thickness N of a housing of the conical tail of the bullet 1 satisfies the following: 3>D/N>1.5; and

(12) A relationship between a length L of the cylindrical section of the bullet 2 and a thickness T of a round tube of the cylindrical section of the bullet 2 satisfies the following: L/T>0.05.

(13) The holes include elliptic, triangular and polygonal holes.

(14) A method of designing the above bullet with the negative Poisson's ratio effect includes the following steps in detail:

(15) 1. The shapes and sizes of individual components of the bullet are determined.

(16) According to the usage, the sizes of the individual components of the bullet to be designed, such as the total length H of the bullet, the length L of the cylindrical section of the bullet, the length M of the tip of the bullet, the length N of the conical tail of the bullet and the thickness T of a tubular structure of the cylindrical section of the bullet, are determined, as shown in FIG. 1 and FIG. 2.

(17) 2. A tubular structure of the cylindrical section of the bullet having periodically alternating transverse and vertical holes is designed, with the holes including: (1) elliptic holes; (2) triangular holes; and (3) polygonal holes. The specific embodiment is illustrated as follows with the elliptic holes as an example here.

(18) First, a negative Poisson's ratio tubular structure was designed. FIG. 3a shows a negative Poisson's ratio tubular structure having a hole rated as 0.69. This negative Poisson's ratio tubular structure under planar constraints exhibits a negative Poisson's ratio behavior caused by elastic instability. A planar slice may be transformed into a tubular structure by using a coordinate transformation method, as shown in FIG. 3b. Notably, the bullet has a wall small in thickness, and thus may be deemed as having a thin wall.

(19) Next, a buckling analysis was performed on an initial tubular structure of a linear elastic base material. The buckling analysis was performed under uniaxial compression to obtain an ideal buckling model. A relevant feature solver was used for a solving process. In this operation, the degrees of freedom of free rotation outside a plane on lower nodes of a finite element model were limited. The degrees of freedom of a bottom node were also limited along a compression direction. It should be noted that a node at the bottom is fixed so as to avoid rigid rotation. A shell element was used for the buckling analysis, and a feature calculator was used for a linear buckling analysis.

(20) Finally, an ideal buckling model was identified, and related parameters were changed to form an ideal negative Poisson's ratio tubular structure. The selection of an ideal buckling mode was similar to previous studies on the negative Poisson's ratio planar structures. More specifically, an expected buckling model should include a geometry similar to an alternating ellipsoid model. An ideal buckling model, i.e., a tubular structure having periodically arranged holes, was selected, and a product sum and factor (PSF) method was used for quantifying the adjustment to the initial tubular structure by means of the ideal buckling mode. That is, the ideal negative Poison's ratio tubular structure may be obtained.

(21) A designed ideal negative Poisson's ratio tubular structure was matched with other parts of the bullet, and based thereon, the specific optimization to the sizes and detailed components were determined to establish a three-dimensional model. It should be noted that, since the components of the bullet are small in size, the requirement of a 3D printer for minimum printable size should be noted and met when the specific sizes are designed.

(22) 3. The designed bullet with the negative Poisson's ratio effect is produced by using the 3D printing technology, and then a simple experiment is conducted to verify whether the bullet meets deformation and stress requirements.

(23) It should be noted that those of ordinary skills in the art may also make various improvements and modifications without departing from the principle of the present invention, and these improvements and modifications shall be construed as falling within the protection scope of the present invention. Any components that are not identified in this embodiment can be implemented by the prior art.