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Dynamics of a Projectile Penetrating Sand. Part II

 

作者: William A. Allen,   Earle B. Mayfield,   Harvey L. Morrison,  

 

期刊: Journal of Applied Physics  (AIP Available online 1957)
卷期: Volume 28, issue 11  

页码: 1331-1335

 

ISSN:0021-8979

 

年代: 1957

 

DOI:10.1063/1.1722645

 

出版商: AIP

 

数据来源: AIP

 

摘要:

Additional data are reported that confirm a theory presented in a previous paper for the penetration of a stable flat‐nosed projectile in sand. The negative acceleration of the projectile can be expressed by the relations: −dv/dt=&agr;v2,v0>v>vc; −dv/dt=&bgr;v2+&ggr;,vc>v>0 where the coefficients &agr;, &bgr;, &ggr; are positive constants andv0is the striking velocity. In the case where air is removed from the sand and the sand is loaded transverse to the trajectory by one atmosphere pressure, the coefficients &agr; and &bgr; are characteristic of inelastic and elastic impact, respectively, where the flow process is regarded as Newtonian. An additional experiment has been performed where quartz powder produced by impact is plotted as a function of initial projectile energy. Although the powder production curve can be represented roughly as a straight line through the origin, there are small discontinuities in slope corresponding to the critical velocityv=vc. The velocity of sound in sand has been measured under the conditions of the experiments. Loading increases the velocity of sound markedly but has little effect on the critical velocityvc.

 

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