On the mass loss of a projectile based on the Archard theory
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摘要: 基于模具与工件磨损中的Archard粘着磨损理论，分析弹体表面微粒的细观塑性变形，建立弹体质量侵蚀表征模型，运用动态空腔膨胀理论得到弹体表面应力，再通过差分计算得到高速侵彻中弹体宏观轮廓的钝化回退过程。计算得到的弹体外部轮廓、质量损失及侵彻深度等参数与实验结果基本吻合。结果表明；弹体侵蚀效应对侵彻时间和深度的影响随着撞击速度的增大愈加显著；弹体侵彻过程中最大过载与刚性条件下有较大区别，提高弹体材料的屈服强度能有效减少侵彻过程中弹体的质量损失，提高最终侵彻深度。Abstract: Based on the Archard's theory, a mass abrasion model for the projectile was proposed by using the multi-scale method of analyzing from the microscopic plastic deformation to the macroscopic mass loss of the projectile.In combination of the dynamic spherical cavity-expansion theory of the concrete materials and the abrasion model, the receding displacement of the point on the projectile surface was obtained.Thereby, the calculation results such as the shape of the projectile, the depth of penetration, the mass loss of the projectile, and so on, are consistent with the experimental results.Results show that the mass loss of the projectile has a great influence on the time and depth of the penetration with increasing impact velocity in the penetration process.The overload encountered by the projectile during the penetration is different from that of the rigid one.Improving the yield strength of the projectile can effectively reduce its mass loss and increase its depth of penetration.
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Key words:
- mechanics of explosion /
- mass loss /
- Archard theory /
- projectile /
- high velocity penetration
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图 3 磨损因数与侵蚀因数的相似性
Figure 3. Similarity between wear coefficient and erosion coefficient
图 6 （a）弹体侵彻过程中加速度的时间历程曲线
Figure 6. (a)Deceleration of the projectile versus time during penetration
图 6 （b）弹体侵彻过程中侵彻深度的时间历程曲线
Figure 6. (b)Penetration depth of the projectile versus time during penetration
图 6 （c）弹体侵彻过程中速度的时间历程曲线
Figure 6. (c)Velocity of the projectiles versus time during penetration
图 6 （d）弹体侵彻过程中质量的时间历程曲线
Figure 6. (d)Mass of the projectiles versus time during penetration
图 8 以1 201m/s的撞击速度侵彻时不同时刻的弹形
Figure 8. Shape variation of the projectile with the initial impact velocity of 1 201m/s
图 9 以1 201m/s的撞击速度侵彻时，弹体质量损失率的时程曲线
Figure 9. Mass loss rate versus time for the projectile with the initial impact velocity of 1 201m/s
表 1 侵蚀模型和刚性模型的计算结果与实验结果的对比
Table 1. Comparisons among erosion model results, rigid model results and experimental results
vs/(m·s-1) P/m εm/% 实验结果 刚性模型 侵蚀模型 实验结果 侵蚀模型 405 0.37 0.38 0.38 1.2 0.9 446 0.42 0.45 0.45 1.5 1.2 545 0.56 0.65 0.64 2.0 1.8 651 0.78 0.88 0.88 3.1 2.6 804 1.05 1.27 1.25 4.7 4.0 821 1.23 1.32 1.30 4.4 4.1 900 1.41 1.54 1.49 5.4 5.0 1 009 1.75 1.85 1.75 6.4 6.2 1 069 1.96 2.03 1.87 7.0 7.0 1 201 2.03 2.44 1.99 6.8 8.6 
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