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在湿沙靶中进行的低速撞击坑实验。

Low-velocity impact cratering experiments in a wet sand target.

作者信息

Takita Haruna, Sumita Ikuro

机构信息

Division of Earth and Environmental Sciences, Graduate School of Natural Science and Technology, Kanazawa University, Kanazawa, 920-1192, Japan.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Aug;88(2):022203. doi: 10.1103/PhysRevE.88.022203. Epub 2013 Aug 26.

Abstract

Low-velocity impact cratering experiments were conducted in a wet sand target. With the addition of interstitial water, the sand stiffens and the yield stress σ(y) increases by a factor of 10 and we observe a significant change in the resulting crater shape. A small water saturation (S0.02) is sufficient to inhibit the crater wall collapse, which causes the crater diameter d to decrease and the crater depth to increase, and results in the steepening of the crater wall. With a further addition of water (S0.04), the collapse is completely inhibited such that cylindrical craters form and the impactor penetration depth δ and ejecta dispersal are suppressed. However, for S>0.7, the wet sand becomes fluidized such that both d and δ increase thereafter. Comparing the relevant stresses, we find that cylindrical craters form when the yield stress is more than about three times larger than the gravitational stress such that it can withstand collapse. Experiments with different impactor sizes D and velocities indicate that for S≤0.02, gravity-regime scaling applies for d. However, the scaling gradually fails as S increases. In contrast, we find that δ/D can be scaled by the inertial stress normalized by the yield stress, for a wide range of S. This difference in the scaling is interpreted as arising from d being affected by whether or not the crater wall collapses, whereas δ is determined by the penetration process that occurs prior to collapse. The experimental parameter space in terms of dimensionless numbers indicates that our experiments may correspond to impact cratering in small asteroids.

摘要

在湿沙靶中进行了低速撞击坑实验。随着间隙水的加入,沙子变硬,屈服应力σ(y)增加了10倍,并且我们观察到所形成的坑洞形状有显著变化。小的水饱和度(S0.02)足以抑制坑壁坍塌,这导致坑洞直径d减小而坑洞深度增加,并导致坑壁变陡。随着进一步加水(S0.04),坍塌被完全抑制,从而形成圆柱形坑洞,并且撞击体穿透深度δ和抛射物散布受到抑制。然而,当S>0.7时,湿沙会流化,此后d和δ都会增加。比较相关应力时,我们发现当屈服应力比重力应力大约大三倍时会形成圆柱形坑洞,这样它就能承受坍塌。用不同尺寸D和速度的撞击体进行的实验表明,对于S≤0.02,d适用重力 regime 缩放。然而,随着S增加,这种缩放逐渐失效。相比之下,我们发现对于很宽范围的S,δ/D可以通过屈服应力归一化的惯性应力来缩放。这种缩放的差异被解释为是由于d受坑壁是否坍塌的影响,而δ由坍塌之前发生的穿透过程决定。根据无量纲数表示的实验参数空间表明,我们的实验可能对应于小行星上的撞击坑形成。

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