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多孔弹性层的刚性边界对扭转表面波传播的影响

S·古普塔 A·卡托帕德亚 D·K·玛里

S·古普塔, A·卡托帕德亚, D·K·玛里. 多孔弹性层的刚性边界对扭转表面波传播的影响[J]. 应用数学和力学, 2011, 32(3): 312-323. doi: 10.3879/j.issn.1000-0887.2011.03.007
引用本文: S·古普塔, A·卡托帕德亚, D·K·玛里. 多孔弹性层的刚性边界对扭转表面波传播的影响[J]. 应用数学和力学, 2011, 32(3): 312-323. doi: 10.3879/j.issn.1000-0887.2011.03.007
S. Gupta, A. Chattopadhyay, D. K. Majhi. Effect of Rigid Boundary on Propagation of Torsional Surface Waves in Porous Elastic Layer[J]. Applied Mathematics and Mechanics, 2011, 32(3): 312-323. doi: 10.3879/j.issn.1000-0887.2011.03.007
Citation: S. Gupta, A. Chattopadhyay, D. K. Majhi. Effect of Rigid Boundary on Propagation of Torsional Surface Waves in Porous Elastic Layer[J]. Applied Mathematics and Mechanics, 2011, 32(3): 312-323. doi: 10.3879/j.issn.1000-0887.2011.03.007

多孔弹性层的刚性边界对扭转表面波传播的影响

doi: 10.3879/j.issn.1000-0887.2011.03.007
基金项目: 印度新德里科学技术部基金的资助(SR/S4/ES-246/2006)
详细信息
  • 中图分类号: O33;O347.4+1

Effect of Rigid Boundary on Propagation of Torsional Surface Waves in Porous Elastic Layer

  • 摘要: 根据介质的力学性能,正如Cowin及Nunziato一样,导出多孔弹性层覆盖在多孔弹性半空间上时,研究其刚性边界对扭转表面波传播的影响.导出了速度方程并对其结果进行了讨论.发现介质中可能存在两类扭转表面波阵面,而Dey等(TamkangJournalofScienceandEngineering,2003,6(4):241-249.)给出的没有刚性边界面时,存在3类扭转表面波阵面.研究还揭示,多孔弹性层中Love波也可能随同扭转表面波一起存在.值得注意的是,刚性边界面多孔弹性层中Love波的相速度,不同于自由边界面多孔弹性层中的相速度.实际观察到扭转波的色散性,以及速度随着振荡频率的增大而减小.
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出版历程
  • 收稿日期:  2010-05-07
  • 修回日期:  2011-01-08
  • 刊出日期:  2011-03-15

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