Three kinds of nonlinear dispersive waves in elastic rods with finite deformation

Author:

Zhang Shan-yuan,Liu Zhi-fang

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mechanical Engineering,Mechanics of Materials

Reference12 articles.

1. Graff Karl F. Wave motion in elastic solids[M]. New York: Dover Publications, 1991.

2. Eringen A C, Suhubi E S. Elastodynamics[M]. New York: Academic Press, 1975.

3. Samsonov A M, Dreiden G V, Porubov A V, Semenova I V. Longitudinal-strain soliton focusing in a narrowing nonlinearly elastic rod[J]. Phys Rev B, 1998, 57(10):5778–5787.

4. Porubov A V, Velarde M G. Strain kinks in an elastic rod embedded in a viscoelastic medium[J]. Wave Motion, 2002, 35(3):189–204.

5. Dai Huihui, Fan Xiaojun. Asymptotically approximate model equations for weakly nonlinear long wave in compressible elastic rods and their comparisons with other simplified model equations[J]. Mathematics and Mechanics of Solids, 2004, 9(1):61–79.

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