Simulation on penetration of a 12.7-mm projectile into steel targets with different strengths
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摘要: 针对12.7 mm弹侵彻不同强度钢靶时可能出现子弹保持完整或发生破碎的情况，过去的数值模拟仅限于模拟单一模式的子弹侵彻行为。为了克服这种数值模拟的局限性，开展了模型算法、网格尺寸对模拟结果影响的研究，并将模拟结果与实验结果进行了对比，提出了一种能够用于模拟子弹保持完整或破碎的弹靶模型。研究结果表明，为模拟子弹保持完整状态，子弹和靶板应分别采用基于Lagrange算法的有限元法和光滑粒子算法，而且子弹网格尺寸和靶板粒子间距之比应至少保持在5.3左右，否则弹头会产生与实验结果不符合的异常变形。但是，在模拟子弹发生破碎侵蚀时，该比例的网格/粒子尺寸比会引起计算中止。为了克服该问题，进一步建立了一种弹体表面采用大尺寸网格、内部采用细化小尺寸网格的有限元/光滑粒子法耦合弹靶模型。计算结果表明，改进的弹靶模型可模拟子弹保持完整或者发生破碎的情况。
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关键词:
- 有限元/光滑粒子法耦合弹靶模型 /
- 弹体破碎 /
- 钢靶 /
- 侵彻
Abstract: A 12.7-mm projectile may remain intact or be broken during penetrating into steel targets with different strengths. However, previous simulations were limited to simulating a single situation. To break this limitation, the numerical simulation methods of the 12.7-mm projectile penetration into steel targets were studied, leading to a projectile-target model which was capable of simulating both the intact and broken cases. In the intact projectile case, the ballistic tests were implemented to study the dynamic behavior of the 12.7-mm projectile penetrating into the 603 steel targets. Two different modeling algorithms based on the finite element method (FEM) and the smooth particle hydrodynamics particles (SPH) method, respectively, were compared with the experimental results. Then the influences of finite element and particle sizes on the numerical results were studied to establish the numerical model to simulate the intact projectile case. Furthermore, the established model was applied to simulate the broken projectile case by changing the target material and the element sizes. The numerical results were then compared with the experimental results. The numerical study shows that the projectile and target should be discretized using the FEM and SPH, respectively, for simulating the intact case. Meanwhile, a large ratio between the finite element mesh size and the SPH particle spacing should be used, such as 5.3. Otherwise, an abnormal numerical deformation may occur around the projectile head, which is inconsistent with the experimental result. This model can also be used to simulate the broken projectile case, as verified with the experimental results. However, the large ratio between the finite element mesh size and the SPH particle spacing leads to numerical problems and abort of simulations. To overcome this difficulty, an FEM/SPH coupled projectile-target model is proposed, in which the projectile was discretized using coarse meshes close to the surface and fine meshes in the core region. Numerical results show that the proposed projectile-target model can be used to simulate the penetration process no matter the projectile remains intact or broken.-
Key words:
- FEM/SPHcoupled projectile-targetmodel /
- broken projectile /
- steel target /
- penetration
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图 4 12.7 mm穿甲弹侵彻半无限厚603钢板实验与模拟结果对比
Figure 4. Comparison between experiment and numerical simulation of 12.7-mm projectiles penetrating semi-infinite 603 steel targets
图 5 子弹材料与603钢和超高强钢的应力-应变曲线对比
Figure 5. Comparison of stress-strain curves of projectile material with those of 603 steel and ultra-high strength steel
图 9 不同失效应变下，FEM靶板模型与SPH/FEM靶板模型计算得到的侵彻深度的对比
Figure 9. Comparison of penetration depths obtained by the FEM target model and the SPH/FEM target model at different given failure strains
图 11 不同弹靶模型的计算结果
Figure 11. Numerical results obtained by different projectile-target models
图 12 不同弹靶模型的侵彻过程
Figure 12. The penetration processes obtained by different projectile-target models
图 14 不同的子弹FEM网格尺寸和靶板SPH粒子间距组合下的计算结果
Figure 14. Numerical results for different combinations of projectile FEM mesh size and target SPH particle spacing
图 15 粗糙网格子弹对超高强钢靶的侵彻过程
Figure 15. Penetration process of the projectile with coarse mesh into the ultra-high strength steel target
图 16 细化网格子弹对超高强钢靶的侵彻过程
Figure 16. Penetration process of the projectile with refined mesh into the ultra-high strength steel target
图 17 模拟结果与相关实验结果的对比
Figure 17. Comparison between the simulation and the related experimental results
图 18 改进网格形式的三维子弹模型的改进网格形式
Figure 18. The improved mesh forms of the three-dimensional projectile model
图 19 改进网格模型的弹靶侵彻过程模拟结果
Figure 19. Projectile-into-target penetration processes simulated by the improved mesh model
图 20 子弹内部单元和外部单元的等效塑性应变时间历程
Figure 20. Effective plastic strain-time curves of the inside and outside elements of the projectiles
表 1 12.7 mm穿甲弹弹芯和靶板的材料参数
Table 1. The material parameters for the 12.7-mm-diameter armor-piercing projectiles and targets
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