Higher-order approximations in the analysis of nonlinear cylindrical waves in a hyperelastic medium

被引：0
|
作者：
J. J. Rushchitsky
Ya. V. Simchuk
机构：
[1] National Academy of Sciences of Ukraine,S. P. Timoshenko Institute of Mechanics
来源：
International Applied Mechanics | 2007年 / 43卷
关键词：
nonlinear cylindrical wave; hyperelastic Murnaghan potential; Hankel functions; wave profile evolution; second-order and third-order approximations;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The nonlinear wave equation is solved analytically in cylindrical coordinates using the third-order approximation of the Hankel function. The second-order and third-order solutions are compared. The evolution of the initial wave profile is simulated numerically for different initial frequencies
引用
收藏
页码：388 / 394
页数：6
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