Properties of surface waves in granular media under gravity

doi:10.1088/1674-1056/23/5/054503

中国物理B ›› 2014, Vol. 23 ›› Issue (5): 54503-054503.doi: 10.1088/1674-1056/23/5/054503

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Properties of surface waves in granular media under gravity

郑鹤鹏

Department of Mathematics and Physics, Guilin Medical University, Guilin 541004, China

收稿日期:2013-10-19 修回日期:2013-12-23 出版日期:2014-05-15 发布日期:2014-05-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11274390) and the Natural Science Foundation of the Guangxi Higher Education Institutions of China (Grant No. 2013YB158).

Properties of surface waves in granular media under gravity

Zheng He-Peng (郑鹤鹏)

Department of Mathematics and Physics, Guilin Medical University, Guilin 541004, China

Received:2013-10-19 Revised:2013-12-23 Online:2014-05-15 Published:2014-05-15
Contact: Zheng He-Peng E-mail:hepengzheng@163.com
About author:45.70.-n; 46.40.Cd; 81.05.Rm
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11274390) and the Natural Science Foundation of the Guangxi Higher Education Institutions of China (Grant No. 2013YB158).

摘要/Abstract

摘要： Acoustical waves propagating along the free surface of granular media under gravity are investigated in the framework of elasticity theory. The influence of stress on a surface wave is analyzed. The results have shown that two types of surface waves, namely sagittal and transverse modes exist depending on initial stress states, which may have some influence on the dispersion relations of surface waves, but the influence is not great. Considering that the present experimental accuracy is far from distinguishing this detail, the validity of elasticity theory on the surface waves propagating in granular media can still be maintained.

关键词: granular matter, stress, surface waves

Abstract: Acoustical waves propagating along the free surface of granular media under gravity are investigated in the framework of elasticity theory. The influence of stress on a surface wave is analyzed. The results have shown that two types of surface waves, namely sagittal and transverse modes exist depending on initial stress states, which may have some influence on the dispersion relations of surface waves, but the influence is not great. Considering that the present experimental accuracy is far from distinguishing this detail, the validity of elasticity theory on the surface waves propagating in granular media can still be maintained.

Key words: granular matter, stress, surface waves

中图分类号: (Granular systems)

45.70.-n

46.40.Cd (Mechanical wave propagation (including diffraction, scattering, and dispersion)) 81.05.Rm (Porous materials; granular materials)

郑鹤鹏. Properties of surface waves in granular media under gravity[J]. 中国物理B, 2014, 23(5): 54503-054503.

Zheng He-Peng (郑鹤鹏). Properties of surface waves in granular media under gravity[J]. Chin. Phys. B, 2014, 23(5): 54503-054503.

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Properties of surface waves in granular media under gravity

Properties of surface waves in granular media under gravity

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