NONLINEAR DISPERSION OF PLANE-WAVE IN GRANULAR MEDIA

被引:32
作者
CHANG, CS
GAO, J
机构
[1] Department of Civil Engineering, University of Massachusetts, Amherst
关键词
D O I
10.1016/0020-7462(94)00039-D
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A high-gradient elastic stress-strain model that accounts for the effects of gradient of strain and gradient of rigid body rotation is presented. The present model is distinct from its micromechanics approach; the constitutive coefficients are expressed as explicit functions of inter-particle stiffness and particle size. The stress-strain model is then applied to analyze the propagation of plane waves in granular media. The present stress-strain model leads to a phenomenon of non-linear dispersion of waves. The dispersion relations derived from the present high-gradient model for granular media are compared with those from crystal lattice models and non-local models. Links among the present model, crystal lattice model. and non-local model are discussed. According to the derived dispersion relations, the granular material is a natural filter, in which short-length waves and high-frequency waves cannot transmit through. The effects of inter-particle stiffness and particle size on the admissible range of wave lengths and frequencies are also discussed.
引用
收藏
页码:111 / 128
页数:18
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