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

页码：388 / 394

页数：6

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