A micromechanics-based analytical method for wave propagation through a granular material
A micromechanics-based analytical method for wave propagation through a granular material
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DOI：
10.1016/j.soildyn.2012.10.003
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发表时间：
2013-02-01
影响因子：
4
通讯作者：
O'Sullivan, C.
中科院分区：
文献类型：
--
作者：
Marketos, G.;O'Sullivan, C.
本文介绍了建立和使用的刚度和质量矩阵的颗粒样品，以计算其振动模式和自然频率，并获得其传递函数。这是一个重要的结果，因为它是一个必要的先决条件，应用线性系统理论的粒状材料。波通过材料的传播的解析解，然后提出和模拟弯曲元件测试上的理想化的二维颗粒样品被用作该方法的适用性的一个例子。以这种明确基于粒子的新颖方式分析波浪在沙子和砂岩中的传播可以为波浪色散等现象提供重要的见解。它还可以提供深入了解实验室弯曲元件测试的解释，这通常是具有挑战性的。弯曲单元试验用于获得工程设计的土壤的小应变刚度，并通过应用本文提出的分析方法所产生的结果给洞察样品的长宽比和边界条件对所观察到的响应的影响。这里提出的模型允许样品的静态刚度和通过波速计算的刚度值之间的比较，通过实验人员使用的各种方法获得。这导致识别的最佳程序提取的小应变刚度值的干颗粒样品在这里考虑。(C)2012爱思唯尔有限公司保留所有权利。
This paper describes the creation and use of the stiffness and mass matrices of a granular sample to calculate its modes of vibration and natural frequencies, and obtain its transfer function. This is an important result as it is a necessary prerequisite for the application of linear systems theory to granular materials. The analytical solution for wave propagation through the material is then presented and simulations of bender element tests on an idealised two-dimensional granular sample are used as an example of the applicability of the method. Analysing wave propagation through sand and sandstone in this novel way that is explicitly particle-based can offer significant insights into phenomena such as wave dispersion. It can also offer insight into the interpretation of laboratory bender element tests, which is often challenging. Bender element tests are used to obtain the small-strain stiffness of soil for engineering design and the results generated by applying the analytical method proposed here give insight into the effects of sample aspect ratio and boundary conditions on the observed response. The model presented here allows for comparisons between the static stiffness of the sample and the stiffness value calculated through wave velocities, as obtained by a variety of methods used by experimentalists. This leads to the identification of the best procedure for extracting the small-strain stiffness value for the dry granular sample considered here. (C) 2012 Elsevier Ltd. All rights reserved.