Shock Waves and Solitary Waves in Elastic Circular Rod

Abstract:

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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)

Edited by:

Yanguo Shi and Jinlong Zuo

Pages:

2197-2201

DOI:

10.4028/www.scientific.net/AMR.183-185.2197

Citation:

Z. F. Liu et al., "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:

$35.00

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