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Nonlinear Waves in Rods and Beams of Power-Law Materials

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  • Dongming Wei
  • Piotr Skrzypacz
  • Xijun Yu

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.

Suggested Citation

  • Dongming Wei & Piotr Skrzypacz & Xijun Yu, 2017. "Nonlinear Waves in Rods and Beams of Power-Law Materials," Journal of Applied Mathematics, Hindawi, vol. 2017, pages 1-6, July.
    • Handle: RePEc:hin:jnljam:2095425
    DOI: 10.1155/2017/2095425
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