Paper Title:
Shock Waves and Solitary Waves in Elastic Circular Rod
  Abstract

A nonlinear waves equation of an elastic circular rod taking account of finite deformation and transverse Poisson effect is derived by means of Hamilton variation principle in this paper. Nonlinear wave equation and corresponding truncated nonlinear wave equation are solved by the hyperbolic tangent function and cotangent function finite expansion method. Two different types of exact traveling wave solutions, the shock wave solution and the solitary wave solution are obtained. The necessary condition of these solutions existence is given also.

  Info
Periodical
Advanced Materials Research (Volumes 183-185)
Chapter
Materials Engineering
Edited by
Yanguo Shi and Jinlong Zuo
Pages
2197-2201
DOI
10.4028/www.scientific.net/AMR.183-185.2197
Citation
Z. F. Liu, Y. Y. He, S. Y. Zhang, "Shock Waves and Solitary Waves in Elastic Circular Rod", Advanced Materials Research, Vols. 183-185, pp. 2197-2201, 2011
Online since
January 2011
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Price
$32.00
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