期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1981
卷号：4
DOI：10.1155/S0161171281000252
出版社：Hindawi Publishing Corporation
摘要：A study is made of the problem of propagation of elastic waves in a medium with a random distribution of cylinders of another material. Neglecting ‘back scattering’, the scattered field is expanded in a series of ‘orders of scattering’. With a further assumption that the n(n>2) point correlation function of the positions of the cylinders could be factored into two point
correlation functions, the average field in the composite medium is found to be resummable, yielding the average velocity of propagation and damping due to scattering. The calculations are presented to the order of (ka)2 for the scalar case of axial shear waves in the composite material. Several limiting cases of interest are recovered.
