An Approximate Method for Analysis of Solitary Waves in Nonlinear Elastic Materials

被引：10
|
作者：
Rushchitsky, J. J. [1 ]
Yurchuk, V. N. [1 ]
机构：
[1] Natl Acad Sci Ukraine, SP Timoshenko Inst Mech, 3 Nesterova St, UA-03057 Kiev, Ukraine
来源：
INTERNATIONAL APPLIED MECHANICS | 2016年 / 52卷 / 03期
关键词：
solitary elastic wave; plane longitudinal wave; cylindrical radial wave; approximate method; distortion of wave profile; Whittaker and Macdonald functions;
D O I：
10.1007/s10778-016-0751-9
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Two types of solitary elastic waves are considered: a longitudinal plane displacement wave (longitudinal displacements along the abscissa axis of a Cartesian coordinate system) and a radial cylindrical displacement wave (displacements in the radial direction of a cylindrical coordinate system). The basic innovation is the use of nonlinear wave equations similar in form to describe these waves and the use of the same approximate method to analyze these equations. The distortion of the wave profile described by Whittaker (plane wave) or Macdonald (cylindrical wave) functions is described theoretically.
引用
收藏
页码：282 / 289
页数：8
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