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2017 Nonlinear Waves in Rods and Beams of Power-Law Materials
Dongming Wei, Piotr Skrzypacz, Xijun Yu
J. Appl. Math. 2017: 1-6 (2017). DOI: 10.1155/2017/2095425

Abstract

Some novel traveling waves and special solutions to the 1D nonlinear dynamic equations of rod and beam of power-law materials are found in closed forms. The traveling solutions represent waves of high elevation that propagates without change of forms in time. These waves resemble the usual kink waves except that they do not possess bounded elevations. The special solutions satisfying certain boundary and initial conditions are presented to demonstrate the nonlinear behavior of the materials. This note demonstrates the apparent distinctions between linear elastic and nonlinear plastic waves.

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Dongming Wei. Piotr Skrzypacz. Xijun Yu. "Nonlinear Waves in Rods and Beams of Power-Law Materials." J. Appl. Math. 2017 1 - 6, 2017. https://doi.org/10.1155/2017/2095425

Information

Received: 16 March 2017; Revised: 4 May 2017; Accepted: 4 June 2017; Published: 2017
First available in Project Euclid: 15 August 2017

zbMATH: 07037464
MathSciNet: MR3677911
Digital Object Identifier: 10.1155/2017/2095425

Rights: Copyright © 2017 Hindawi

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