Abstract
How to estimate the complex configuration is an important problem on the investigation of dynamic properties of a soil layer composed of composite media. The complex configuration of composite media is spatially averaged in the domain of the media in order to idealize the media. Three method of averaging have been proposed up to date. Especially in the equivalent mixture method, dynamic properties of the complex configuration are obtained analytically with relative ease. Namely it is possible to represent composite media by mixture media. But composite media with the complex configuration are not replaced by mixture media. In this paper, the replacement of composite media by mixture media is studied, and the representation of the wave propagation in the soil layer composed of composite media is given. A procedure of this research is as follows. The fundamental equation of the field problem of monophase media and multi-phase media is represented briefly in Chapter 2 and 3. A new method is proposed by combining Finite Element Method with the composite mechanics in Chapter 4 and 5. The phenomenon of the wave propagation is described for a soil layer such as an alternated layer and a pile reinforced ground, in the latter half of Chapter 5. In Chaper 6, the dispersion relation for composite media is used as the constitutive relation when frequency responses are analysed. Composite media herein are composed of two phase materials which are of homogeneous, isotropic and linearly elastic.