A numerical study of the dynamics of the surface grain in a granular chain and the role of gravity

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• 作者：Edgar Á ; valos ; Jan M.M. Pfannes ; T.R. Krishna Mohan ; Surajit Sen
• 关键词：Solitary waves ; Impulse propagation ; Granular chain ; Granular media
• 刊名：Physica D
• 出版年：2007
• 出版时间：15 January 2007
• 年：2007
• 卷：225
• 期：2
• 页码：211-218
• 全文大小：973 K

文摘

We revisit the dynamical behavior of particles in a chain of spherical elastic grains, where the system is assumed to be placed in such a way that the grains suffer progressive loading as function of depth due to the presence of the gravitational acceleration decoration:none; color:black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6TVK-4MHPHCD-1&_mathId=mml35&_user=10&_cdi=5537&_rdoc=9&_acct=C000050221&_version=1&_userid=10&md5=c125041771bf264669f79bdf5db406eb"" title=""Click to view the MathML source"">g. Here we address, for the first time, the dynamics of the surface grain in this rather well studied problem (see [R.S. Sinkovits, S. Sen, Phys. Rev. Lett. 74 (1995) 2686; J. Hong, J.Y. Ji, H. Kim, Phys. Rev. Lett. 82 (1999) 3058]) and make predictions that may be verified experimentally by monitoring the dynamics of a single edge grain. When decoration:none; color:black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6TVK-4MHPHCD-1&_mathId=mml36&_user=10&_cdi=5537&_rdoc=9&_acct=C000050221&_version=1&_userid=10&md5=13b6201971e99643caa3d0d01efa6e78"" title=""Click to view the MathML source"">g→0, the surface grain dynamics can be associated with the problem of propagation of solitary waves in the chain. When decoration:none; color:black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6TVK-4MHPHCD-1&_mathId=mml37&_user=10&_cdi=5537&_rdoc=9&_acct=C000050221&_version=1&_userid=10&md5=17937a6276a05261680ac268e8db597b"" title=""Click to view the MathML source"">g>0, the dynamics of the surface grain turns out to be dramatically different, reflective of the very different dynamics exhibited by the grains in a gravitationally loaded chain. As we shall see, these studies provide a necessary first step towards developing an understanding of a difficult but important problem in physics and engineering — namely, the dynamics of the surface grains of a gravitationally loaded close-packed granular bed.