Acoustic waves in fractal media: Non-integer dimensional spaces approach

被引：33

作者：

Tarasov, Vasily E. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Skobeltsyn Inst Nucl Phys, Moscow 119991, Russia

来源：

WAVE MOTION | 2016年 / 63卷

关键词：

Acoustic wave; Fractal media; Non-integer dimensional space; Supersonic mode; CONTINUOUS MEDIUM MODEL; EQUATIONS;

D O I：

10.1016/j.wavemoti.2016.01.003

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Acoustic waves in fractal media are considered in the framework of continuum models with non-integer dimensional spaces. Using recently suggested vector calculus for non-integer dimensional space, we consider waves in isotropic fractal media. The wave equation for non-integer dimensional space is similar to the equation of waves in non-fractal medium with power-law heterogeneity. We discuss some properties of speed of acoustic waves in fractal materials. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：18 / 22

页数：5

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