Propagation of rarefaction pulses in particulate materials with strain-softening behavior

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We investigate rarefaction waves in nonlinear periodic systems with a 'softening' power-law relationship between force and displacement to understand the dynamic behavior of this class of materials. A closed form expression describing the shape of the strongly nonlinear rarefaction wave is exact for n = 1/2 and agrees well with the shape and width of the pulses resulting from discrete simulations. A chain of particles under impact was shown to propagate a rarefaction pulse as the leading pulse in initially compressive impulsive loading in the absence of dissipation. Compression pulses generated by impact quickly disintegrated into a leading rarefaction solitary ... continued below

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Herbold, E B & Nesterenko, V F July 29, 2011.

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We investigate rarefaction waves in nonlinear periodic systems with a 'softening' power-law relationship between force and displacement to understand the dynamic behavior of this class of materials. A closed form expression describing the shape of the strongly nonlinear rarefaction wave is exact for n = 1/2 and agrees well with the shape and width of the pulses resulting from discrete simulations. A chain of particles under impact was shown to propagate a rarefaction pulse as the leading pulse in initially compressive impulsive loading in the absence of dissipation. Compression pulses generated by impact quickly disintegrated into a leading rarefaction solitary wave followed by an oscillatory train. Such behavior is favorable for metamaterials design of shock absorption layers as well as tunable information transmission lines for scrambling of acoustic information.

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PDF-file: 6 pages; size: 0.7 Mbytes

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  • Presented at: Shock Compression of Condensed Matter - 2011, Chicago, IL, United States, Jun 26 - Jul 01, 2011

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  • Report No.: LLNL-PROC-491549
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 1022932
  • Archival Resource Key: ark:/67531/metadc834464

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  • July 29, 2011

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  • May 19, 2016, 3:16 p.m.

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  • Dec. 6, 2016, 4:51 p.m.

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Herbold, E B & Nesterenko, V F. Propagation of rarefaction pulses in particulate materials with strain-softening behavior, article, July 29, 2011; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc834464/: accessed October 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.