A method for constructing a penetration physical model considering self-sharpening

Abstract

The present invention provides a method for constructing a self-sharpening penetration physics model. The method first models the target plate and obtains its material parameters. Next, the governing equations for target plate penetration are established. The projectile is then modeled and the governing equations for projectile erosion are established. The projectile-target interaction is then described, and the momentum equation for the projectile tail and the penetration pressure equation for the projectile head are established. Finally, the governing equations for projectile erosion, the momentum equation for the projectile tail, and the penetration pressure equation for the projectile head are combined to obtain a self-sharpening penetration physics model. The present invention is well-conceived and can be widely applied to various new self-sharpening armor-piercing materials, efficiently and accurately describing the penetration process.

Description

Technical Field

[0001] The present 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 weapons systems and engineering, kinetic penetration plays a crucial role and is an indispensable mode of destruction. Specifically, in actual combat applications, damaging metamaterials rely primarily on their own powerful kinetic energy to inflict damage on target plates. From a physical perspective, the greater the density of a material, the greater the mass of material contained per unit volume; the faster the speed, the more powerful the energy impact it can deliver per unit time. Extensive experimental data and actual combat examples clearly demonstrate that the greater the density and speed of a material, the more significant its damaging effect on the target plate, enabling more efficient and in-depth destruction of the target.

[0003] The unique and valuable property of self-sharpening plays a key role in the penetration process. Self-sharpening refers to the ability of a material to maintain its sharp tip when subjected to intense impact and undergoing penetration, effectively reducing penetration resistance. Research has shown that materials with self-sharpening properties can achieve a significant increase in penetration depth, typically by over 10%, even at the same density and velocity as conventional materials. This significantly enhances the destructive effectiveness of weaponry.

[0004] However, we must acknowledge that this field currently faces a significant challenge: the lack of a physical penetration model that comprehensively and accurately accounts for the self-sharpening effect. Existing models are constructed and operated without taking this into account. This limitation prevents the true and accurate reflection of the advantages and benefits of self-sharpening materials when simulating penetration processes and predicting and evaluating weaponry performance. This significantly restricts the development of new, high-performance penetrating materials, significantly hindering the upgrading and performance improvement of weaponry, and severely limiting the development of weaponry towards higher performance and greater destructive capabilities.

[0005] In summary, in order to break through and overcome the many aforementioned issues in existing technologies and effectively meet the urgent demand for high-performance penetrating materials in the field of weaponry in the context of modern warfare, actively exploring and innovating existing technologies has become a top priority. Only through continuous innovation and the construction of a more complete and scientific physical penetration model that fully considers 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 weaponry and equipment, and enable them to better adapt to the complex and ever-changing situation of modern warfare. Summary of the Invention

[0006] In response to 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 account. 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 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 actual 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.

[0007] To solve the above technical problems, the present invention provides a method for constructing a penetration physical model that takes self-sharpening into account. The method first models the target plate and obtains the material parameters of the target plate; secondly, establishes a control equation for the penetration of the target plate; then models the projectile and establishes a control equation for the erosion of the projectile; then describes the interaction between the projectile and the target, establishes a momentum equation for the tail of the projectile and a penetration pressure equation for the head of the projectile; finally, the control equation for the erosion of the projectile, the momentum equation for the tail of the projectile and the penetration pressure equation for the head of the projectile are combined to obtain a penetration physical model that takes self-sharpening into account.

[0008] 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 as follows:

[0009] When the target plate is penetrated by the projectile, if the initial penetration velocity is fast, the area of the target plate close to the projectile can be approximated as a fluid zone. The critical penetration velocity for generating the fluid zone is:

[0010] ;

[0011] 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;

[0012] Particle velocity in the fluid region for:

[0013] ;

[0014] Where, u is the penetration speed;

[0015] The static expansion strength S of the target plate is:

[0016] ;

[0017] in, is the elastic modulus of the target plate, is the yield strength of the target plate;

[0018] The dynamic expansion strength D of the target plate is:

[0019] .

[0020] The method for constructing a penetration physical model taking self-sharpening into consideration, wherein the specific process of establishing the control equation for target plate penetration is:

[0021] The interfacial stress between the fluid region and the target plate consists of two parts: one is the flow dynamic pressure caused by the flow of the fluid region, and the other is the sum of the static and dynamic expansion strengths of the target plate penetrated, which can be calculated as:

[0022] ;

[0023] In the above formula (5), is the total interfacial stress between the fluid zone and the target plate, The dynamic pressure brought by the flow of 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.

[0024] The method for constructing a penetration physical model considering self-sharpening, wherein the governing equation for the erosion of the projectile is:

[0025] ;

[0026] In the above formula (6), d is the differential operator, is the length of the projectile, t is the time, v is the velocity of the projectile tail, and u is the penetration velocity mentioned above;

[0027] The momentum equation of the projectile tail is:

[0028] ;

[0029] 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;

[0030] The penetration pressure equation of the projectile head is:

[0031] ;

[0032] in, is the penetration pressure of the projectile head;

[0033] Combining the above equations (5), (6), (7) and (8), the penetration physical model considering self-sharpening is obtained as follows:

[0034] .

[0035] By adopting the above technical solution, the present invention has the following beneficial effects:

[0036] The present invention's method for constructing a self-sharpening penetration physics model is well-conceived and can more accurately describe the highly transient physical process of penetration, improving model accuracy. It also helps enhance understanding of penetration mechanisms. By fully considering multiple influencing parameters, it further refines the theoretical framework of penetration mechanics, providing a more solid theoretical foundation for solving penetration problems in practical engineering. Existing technologies cannot account for the self-sharpening effect. In contrast, the present invention allows for better material performance evaluation, catering to the development trend of advanced self-sharpening materials.

[0037] In addition, the present invention can help optimize the design of penetrating projectiles, provide guidance for the design of penetrators and perform iterative optimization.

[0038] The present 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

[0039] In order to more clearly illustrate the specific embodiments of the present invention or the technical solutions in the prior art, the following briefly introduces the drawings required for use in the specific embodiments or the description of the prior art. Obviously, the drawings described below are some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying any creative work.

[0040] Figure 1 Flowchart of a method for constructing a penetration physics model that takes self-sharpening into account for the present invention. DETAILED DESCRIPTION

[0041] The technical solution of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the embodiments described are only some embodiments of the present invention, not all embodiments. All other embodiments obtained by ordinary technicians in this field based on the embodiments of the present invention without making any creative efforts shall fall within the scope of protection of the present invention.

[0042] The present invention will be further explained below with reference to specific embodiments.

[0043] like Figure 1 As shown, this embodiment provides a method for constructing a penetration physical model considering self-sharpening, which mainly includes the following steps:

[0044] S100. First, model the target plate and obtain the material parameters of the target plate:

[0045] When the target plate is penetrated by the projectile, if the initial penetration velocity is fast, the area of the target plate close to the projectile can be approximated as a fluid zone. The critical penetration velocity for generating the fluid zone is:

[0046] ;

[0047] 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;

[0048] The particle velocity in the fluid region is:

[0049] ;

[0050] in is the particle velocity in the fluid region, and u is the penetration velocity.

[0051] The static expansion strength of the target plate is:

[0052] ;

[0053] 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.

[0054] The dynamic expansion strength of the target plate is:

[0055] ;

[0056] Where D is the dynamic expansion strength of the target plate, is the particle velocity in the fluid region in the above equation.

[0057] S200, then establish the control equation of target plate penetration:

[0058] The interfacial stress between the fluid region and the target plate consists of two parts: one is the flow dynamic pressure caused by the flow of the fluid region, and the other is the sum of the static and dynamic expansion strengths of the target plate penetrated, which can be calculated as:

[0059] ;

[0060] In the above formula, is the total interfacial stress between the fluid zone and the target plate, The dynamic pressure brought by the flow of the fluid zone, It is the sum of the static and dynamic expansion strengths of the target plate when penetrated. When the penetration speed is below the critical speed, there is no flow dynamic pressure part.

[0061] S300, then model the projectile and establish the control equation for the erosion of the projectile:

[0062] ;

[0063] Where d is the differential operator, is the length of the projectile, t is the time, v is the speed of the projectile tail, and u is the penetration speed mentioned above.

[0064] S400, describe the interaction between the projectile and the target, and establish the momentum equation of the projectile tail:

[0065] ;

[0066] in is the yield strength of the projectile, is the projectile density, is the elastic wave velocity of the projectile material.

[0067] The penetration pressure equation of the projectile head is:

[0068] ;

[0069] in It is the penetration pressure of the projectile head.

[0070] S500. Combining the above equations (6)-(8), we can obtain the penetration physical model considering self-sharpening:

[0071] ;

[0072] The above equations (5)-(8) describe the physical model of the projectile penetration process including the self-sharpening effect.

[0073] 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 , target plate Hugoniot strength , target plate elastic modulus 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 the equation group (9) can obtain the physical model of the entire penetration process.

[0074] The following is further explained using WMoFeNi projectiles and 45# steel targets as materials.

[0075] WMoFeNi projectile: projectile density 11.2g / cm 3 , elastic wave velocity of projectile is 3895m / s, yield strength of projectile is 850Mpa

[0076] 45# steel target: target plate density 7.8g / cm 3 , the target plate yield strength is 500Mpa, the target plate Hugoniot strength is 1.1GPa, and the target plate elastic modulus is 200GPa.

[0077] 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.

[0078] Substituting into equation (9) we can obtain the physical model of the entire penetration process.

[0079] The present invention has a reasonable concept 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, it further improves the theoretical system of penetration mechanics and provides a more solid theoretical basis for solving penetration problems in actual engineering.

[0080] 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 above embodiments, those skilled in the art should understand that they can still modify the technical solutions described in the above 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 into account self-sharpening, characterized by: First, the target plate is modeled to obtain its material parameters. Second, the governing equations for target plate penetration are established. Then, the projectile is modeled to establish the governing equations for projectile erosion. Next, the projectile-target interaction is described, establishing the momentum equations for the projectile tail and the penetration pressure equations for the projectile head. Finally, the governing equations for projectile erosion, the momentum equations for the projectile tail, and the penetration pressure equations for the projectile head are combined to obtain a penetration physical model that takes self-sharpening into account. 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 velocity is fast, the area of the target plate close to the projectile can be approximated as a fluid zone. The critical penetration velocity for generating 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: ； Where, 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: ； The specific process of establishing the control equation for target plate penetration is as follows: The interfacial stress between the fluid region and the target plate consists of two parts: one is the flow dynamic pressure caused by the flow of the fluid region, 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 interfacial stress between the fluid zone and the target plate, The dynamic pressure brought by the flow of 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. 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 velocity of the projectile tail, and u is the penetration velocity 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.

2. The method for constructing a penetration physical model taking self-sharpening into account according to claim 1, wherein: The penetration pressure equation of the projectile head is: ； in, is the penetration pressure of the projectile head; Combining the above equations (5), (6), (7) and (8), the penetration physical model considering self-sharpening is obtained as follows: 。

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