Method for constructing penetration physical model considering self-sharpening

Abstract

The invention provides a method for constructing a penetration physical model considering self-sharpening, which comprises the following steps of: firstly, modeling a target plate to obtain material parameters of the target plate; secondly, establishing a control equation that the target plate is penetrated; modeling the projectile, and establishing a control equation that the projectile is eroded; thirdly, the projectile-target interaction is described, and a momentum equation of the projectile tail and a penetration pressure equation of the projectile head are established; and finally, combining the control equation that the projectile is eroded, the momentum equation of the tail part of the projectile and the penetration pressure equation of the head part of the projectile to obtain a self-sharpening-considered penetration physical model. The method is reasonable in conception, can be widely applied to various novel self-sharpening armor penetrating materials, and can efficiently and accurately describe the penetration process.

Description

Technical Field

[0001] The invention relates to the technical field of kinetic energy penetration of dynamic mechanical behavior of materials, and in particular to a method for constructing a penetration model taking into account the self-sharpening effect. Background Art

[0002] In the complex and cutting-edge field of weapon systems and engineering, kinetic penetration occupies an extremely important position and is an indispensable damage mode. Specifically, in actual combat applications, damage metamaterials mainly rely on the powerful kinetic energy they carry to carry out damage operations on target plates. From the perspective of physical principles, the greater the density of the material, the greater the mass of the material contained in the unit volume; the faster the speed, the stronger the energy impact it can deliver per unit time. A large amount of experimental data and actual combat examples clearly show that the greater the density and speed of the material, the more significant its damage effect on the target plate, and it can destroy the target more efficiently and deeply. The special and valuable property of self-sharpening plays a key role in the penetration process. Self-sharpening means that when a material is subjected to a strong impact and performs a penetration action, it can cleverly maintain the sharp shape of its head, effectively reducing the penetration resistance. Relevant research shows that materials with self-sharpening properties can achieve a remarkable increase in penetration depth, generally by more than 10%, even under the same density and speed as ordinary materials, which is of great significance for enhancing the destructive effectiveness of weapons and equipment. However, we have to face up to the fact that there is a severe challenge in this field, that is, there is still a lack of a physical penetration model that can comprehensively and accurately consider the self-sharpening effect. All existing models are built and run without taking the self-sharpening effect into consideration. This limitation makes it impossible to truly and accurately reflect the actual advantages and functions of materials with self-sharpening properties when simulating the penetration process and predicting and evaluating the performance of weapons and equipment. It greatly restricts the research and development process of new high-performance penetration materials, and thus has a significant impact on the upgrading and performance improvement of the entire weapon and equipment, and severely restricts the development of weapons and equipment towards higher performance and stronger destructive capabilities. In summary, in order to break through and overcome the above-mentioned problems in the existing technology and effectively meet the urgent demand for high-performance penetrating materials in the field of weapons and equipment in the modern warfare environment, it is imperative to actively carry out further innovative exploration of existing technologies. Only through continuous innovation and the construction of a more complete and scientific physical penetration model that can fully consider key factors such as the self-sharpening effect can we promote substantial progress in the research and development of high-performance penetrating materials, inject strong impetus into the upgrading of weapons and equipment, and enable them to better adapt to the complex and changing modern warfare situation. Summary of the invention

[0003] In view of the technical problems existing in the above-mentioned background technology, the present invention proposes a method for constructing a penetration physical model taking self-sharpening into consideration. The method has a reasonable conception and can more accurately describe the highly transient physical process of penetration, improve the accuracy of the model, and help to improve the understanding of the penetration mechanism. After fully considering various influencing parameters, the theoretical system of penetration mechanics is further improved to provide a more solid theoretical basis for solving penetration problems in practical engineering. In addition, it can also help optimize the design of penetrating projectiles, provide guidance for the design of penetrating materials and perform iterative optimization.

[0004] In order to solve the above technical problems, the present invention provides a method for constructing a penetration physical model considering self-sharpening, which first models the target plate to obtain the material parameters of the target plate; secondly, establishes the control equation of the penetration of the target plate; then models the projectile to establish the control equation of the erosion of the projectile; then describes the interaction between the projectile and the target, establishes the momentum equation of the tail of the projectile and the penetration pressure equation of the head of the projectile; finally, combines the control equation of the erosion of the projectile, the momentum equation of the tail of the projectile and the penetration pressure equation of the head of the projectile to obtain the penetration physical model considering self-sharpening.

[0005] The method for constructing a penetration physical model taking self-sharpening into consideration, wherein the specific process of modeling the target plate and obtaining the material parameters of the target plate is: When the target plate is penetrated by the projectile, if the initial penetration speed is fast, the part of the target plate close to the projectile can be approximated as a fluid zone, and the critical penetration speed of the fluid zone is: ; In the above formula (1), is the critical penetration velocity of the fluid zone, is the target plate density, The half angle of the bullet with self-sharpening effect, is the Hugoniot strength of the target plate; Particle velocity in the fluid region for: ; Among them, u is the penetration speed; The static expansion strength S of the target plate is: ; in, is the elastic modulus of the target plate, is the yield strength of the target plate; The dynamic expansion strength D of the target plate is: .

[0006] The method for constructing a penetration physical model taking self-sharpening into consideration, wherein the specific process of establishing the control equation for the target plate being penetrated is: The interfacial stress between the fluid area and the target plate consists of two parts: one is the flow dynamic pressure brought by the flow of the fluid area, and the other is the sum of the static and dynamic expansion strengths of the target plate penetrated, which can be calculated as: ; In the above formula (5), is the total interface stress between the fluid zone and the target plate, The dynamic pressure caused by the flow in the fluid zone, It is the sum of the static and dynamic expansion strengths of the target plate being penetrated; when the penetration speed is below the critical penetration speed of the fluid zone, there is no flow dynamic pressure part.

[0007] The method for constructing a penetration physical model taking into account self-sharpening, wherein the control equation for the erosion of the projectile is: ; In the above formula (6), d is the differential operator, is the length of the projectile, t is the time, v is the speed of the tail of the projectile, and u is the penetration speed mentioned above; The momentum equation of the projectile tail is: ; In the above formula (7), is the yield strength of the projectile, is the projectile density, is the elastic wave velocity of the projectile material; The penetration pressure equation of the projectile head is: ; in, is the penetration pressure of the projectile head; Combining equations (5), (6), (7) and (8), the penetration physical model considering self-sharpening is obtained as follows: .

[0008] By adopting the above technical solution, the present invention has the following beneficial effects: The method of constructing a penetration physical model considering self-sharpening in the present invention is well-conceived and can more accurately describe the highly transient physical process of penetration, thereby improving the accuracy of the model. At the same time, it helps to improve the understanding of the penetration mechanism, and after fully considering a variety of influencing parameters, further improves the theoretical system of penetration mechanics, providing a more solid theoretical basis for solving penetration problems in practical engineering. Existing technologies cannot consider the self-sharpening effect. In contrast, the present invention can better evaluate the performance of materials and cater to the development trend of advanced self-sharpening materials.

[0009] In addition, the present invention can help optimize the design of penetrator projectiles, provide guidance for the design of penetrators, and perform iterative optimization.

[0010] The invention can be widely applied to various new self-sharpening armor-piercing materials and can describe the penetration process efficiently and accurately. BRIEF DESCRIPTION OF THE DRAWINGS

[0011] In order to more clearly illustrate the specific implementation methods of the present invention or the technical solutions in the prior art, the drawings required for use in the specific implementation methods or the description of the prior art will be briefly introduced below. Obviously, the drawings in the following description are some implementation methods of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative work.

[0012] Figure 1 Flow chart of a method for constructing a penetration physics model that takes self-sharpening into account for the present invention. DETAILED DESCRIPTION

[0013] The technical solution of the present invention will be described clearly and completely below in conjunction with the accompanying drawings. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0014] The present invention is further explained below in conjunction with specific implementation modes.

[0015] like Figure 1 As shown, the method for constructing a penetration physical model considering self-sharpening provided in this embodiment mainly includes the following steps: S100. First, model the target plate and obtain the material parameters of the target plate: When the target plate is penetrated by the projectile, if the initial penetration speed is fast, the part of the target plate close to the projectile can be approximated as a fluid zone, and the critical penetration speed of the fluid zone is: ; is the critical penetration velocity of the fluid zone, is the target plate density, The half angle of the bullet with self-sharpening effect, is the Hugoniot strength of the target plate; The particle velocity in the fluid region is: ; in is the particle velocity in the fluid zone, and u is the penetration velocity.

[0016] The static expansion strength of the target plate is: ; Where S is the static expansion strength of the target plate, is the elastic modulus of the target plate, is the yield strength of the target plate.

[0017] The dynamic expansion strength of the target plate is: ; Where D is the dynamic expansion strength of the target plate, is the particle velocity in the fluid region in the above equation.

[0018] S200, then establish the control equation of target plate penetration: The interfacial stress between the fluid area and the target plate consists of two parts: one is the flow dynamic pressure brought by the flow of the fluid area, and the other is the sum of the static and dynamic expansion strengths of the target plate penetrated, which can be calculated as: ; In the above formula, is the total interface stress between the fluid zone and the target plate, The dynamic pressure caused by the flow in the fluid zone, It is the sum of the static and dynamic expansion strengths of the target plate being penetrated. When the penetration speed is below the critical speed, there is no flow dynamic pressure part.

[0019] S300, model the projectile again and establish the control equation for the erosion of the projectile: ; Where d is the differential operator, is the length of the projectile, t is the time, v is the speed of the tail of the projectile, and u is the penetration speed mentioned above.

[0020] S400, describe the interaction between the projectile and the target, and establish the momentum equation of the projectile tail: ; in is the yield strength of the projectile, is the projectile density, is the elastic wave velocity of the projectile material.

[0021] The penetration pressure equation of the projectile head is: ; in It is the penetration pressure of the projectile head.

[0022] S500. Combining the above equations (6)-(8), we can get the penetration physical model considering self-sharpening: ; The above equations (5)-(8) describe the physical model of the projectile penetration process including the self-sharpening effect.

[0023] First, obtain the basic parameters of the target material: projectile density , elastic wave velocity of the projectile , projectile yield strength , target plate density , target plate yield strength , Hugoniot strength of target plate , elastic modulus of target plate Then set the penetration parameters of the projectile: initial length , initial impact velocity , bullet half angle with self-sharpening effect Substituting the basic parameters of the target material and the penetration parameters of the projectile obtained above into equation group (9) can obtain the physical model of the entire penetration process.

[0024] The following is a further explanation using WMoFeNi projectiles and 45# steel targets as materials.

[0025] WMoFeNi projectile: projectile density 11.2g / cm 3 , elastic wave velocity of projectile 3895m / s, yield strength of projectile 850Mpa 45# steel target: target plate density 7.8g / cm 3 , target plate yield strength 500Mpa, target plate Hugoniot strength 1.1GPa, target plate elastic modulus 200GPa.

[0026] The initial length of the projectile is 45mm, the initial impact velocity is 1200m / s, and the half-angle of the bullet with self-sharpening effect is 45 degrees.

[0027] Substituting into equation (9) we can obtain the physical model of the entire penetration process.

[0028] The invention has a reasonable conception and can more accurately describe the highly transient physical process of penetration, improve the accuracy of the model, and at the same time help to improve the understanding of the penetration mechanism. After fully considering various influencing parameters, the theoretical system of penetration mechanics is further improved, providing a more solid theoretical basis for solving penetration problems in practical engineering.

[0029] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit it. Although the present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that they can still modify the technical solutions described in the aforementioned embodiments, or replace some or all of the technical features therein with equivalents. However, these modifications or replacements do not cause the essence of the corresponding technical solutions to deviate from the scope of the technical solutions of the embodiments of the present invention.

Claims

1. A method for constructing a penetration physical model taking self-sharpening into account, characterized in that: First, the target plate is modeled and its material parameters are obtained; secondly, the control equation of target plate penetration is established; then the projectile is modeled and the control equation of projectile erosion is established; then the interaction between the projectile and the target is described, and the momentum equation of the projectile tail and the penetration pressure equation of the projectile head are established; finally, the control equation of projectile erosion, the momentum equation of the projectile tail and the penetration pressure equation of the projectile head are combined to obtain the physical model of penetration that takes self-sharpening into account.

2. The method for constructing a penetration physical model taking self-sharpening into consideration according to claim 1, characterized in that: The specific process of modeling the target plate and obtaining the material parameters of the target plate is as follows: When the target plate is penetrated by the projectile, if the initial penetration speed is fast, the part of the target plate close to the projectile can be approximated as a fluid zone, and the critical penetration speed of the fluid zone is: ； In the above formula (1), is the critical penetration velocity of the fluid zone, is the target plate density, The half angle of the bullet with self-sharpening effect, is the Hugoniot strength of the target plate; Particle velocity in the fluid region for: ; Among them, u is the penetration speed; The static expansion strength S of the target plate is: ; in, is the elastic modulus of the target plate, is the yield strength of the target plate; The dynamic expansion strength D of the target plate is: 。 3. The method for constructing a penetration physical model taking self-sharpening into consideration according to claim 1, characterized in that: The specific process of establishing the control equation for the target plate penetration is: The interfacial stress between the fluid area and the target plate consists of two parts: one is the flow dynamic pressure brought by the flow of the fluid area, and the other is the sum of the static and dynamic expansion strengths of the target plate being penetrated, which can be calculated as: ； In the above formula (5), is the total interface stress between the fluid zone and the target plate, The dynamic pressure brought by the flow in the fluid zone, It is the sum of the static and dynamic expansion strengths of the target plate being penetrated; when the penetration speed is below the critical penetration speed of the fluid zone, there is no flow dynamic pressure part.

4. The method for constructing a penetration physical model taking self-sharpening into consideration according to claim 1, characterized in that: The governing equation for the erosion of the projectile is: ； In the above formula (6), d is the differential operator, is the length of the projectile, t is the time, v is the speed of the tail of the projectile, and u is the penetration speed mentioned above; The momentum equation of the projectile tail is: ； In the above formula (7), is the yield strength of the projectile, is the projectile density, is the elastic wave velocity of the projectile material; The penetration pressure equation of the projectile head is: ； in, is the penetration pressure of the projectile head; Combining equations (5), (6), (7) and (8), the penetration physical model considering self-sharpening is obtained as follows: 。

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