Nonlinear Waves in Rods and Beams of Power-Law Materials

Research output: Contribution to journalArticle

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.

Original languageEnglish
Article number2095425
JournalJournal of Applied Mathematics
Volume2017
DOIs
Publication statusPublished - Jan 1 2017

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Nonlinear Waves
Power Law
Kink
Traveling Wave Solutions
Dynamic Equation
Traveling Wave
Nonlinear Dynamics
Demonstrate
Plastics
Nonlinear Equations
Closed-form
Initial conditions
Boundary conditions

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Nonlinear Waves in Rods and Beams of Power-Law Materials. / Wei, Dongming; Skrzypacz, Piotr; Yu, Xijun.

In: Journal of Applied Mathematics, Vol. 2017, 2095425, 01.01.2017.

Research output: Contribution to journalArticle

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