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

DOI10.1007/S10483-008-0709-2zbMath1231.74278OpenAlexW2093847408MaRDI QIDQ940685

Shan-Yuan Zhang, Zhi-Fang Liu

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-008-0709-2

zbMATH Keywords

solitary waveshock wavefinite deformationdispersive effectelastic thin rod

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear waves in solid mechanics (74J30)

Related Items (7)

Structures of non-classical discontinuities in solutions of hyperbolic systems of equations ⋮ Effects of slip condition on MHD stagnation-point flow over a power-law stretching sheet ⋮ Longitudinal-torsional waves in nonlinear elastic rods ⋮ Wave dispersion under finite deformation ⋮ Exact traveling wave solutions of an autonomous system via the enhanced (G′/G)-expansion method ⋮ Longitudinal and torsional shock waves in anisotropic elastic cylinders ⋮ New solutions of elastic waves in an elastic rod under finite deformation

Cites Work

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• Geometrical nonlinear waves in finite deformation elastic rods
• Strain kinks in an elastic rod embedded in a viscoelastic medium
• Solitary-Wave Interactions in Elastic Rods
• Asmptoticaliy Approximate Model Equations for Weakly Nonlinear Long Waves in Compressible Elastic Rods and their Comparisons with Other Simplified Model Equations
• Zur Elastizitätstheorie endlicher Verschiebungen
• New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations

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