Approximate equations for torsional waves in a nonlinear elastic rod with weak viscoelasticity

DOI10.1016/0165-2125(84)90028-3zbMath0543.73023OpenAlexW1970585941MaRDI QIDQ796327

N. E. Zubov

Publication date: 1984

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(84)90028-3

zbMATH Keywords

deformationsdisplacementnearly elastic compressible viscoelastic solidsfinite angle of torsionnonlinear torsional wavesnormal stress effectone dimensional approximate equationspower series of the radial coordinatethin circular viscoelastic rodweak dependence of stresses on a history of strain

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Impact in solid mechanics (74M20) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (9)

Structures of non-classical discontinuities in solutions of hyperbolic systems of equations ⋮ The asymptotic form of shocks in relaxing media ⋮ An improvised collocation algorithm with specific end conditions for solving modified Burgers equation ⋮ Singular travelling waves in soft viscoelastic solids of rate type ⋮ Longitudinal-torsional waves in nonlinear elastic rods ⋮ A numerical scheme for a class of generalized Burgers' equation based on Haar wavelet nonstandard finite difference method ⋮ Longitudinal and torsional shock waves in anisotropic elastic cylinders ⋮ Robust numerical scheme for nonlinear modified Burgers equation ⋮ ``Generalized Burgers' equation for nonlinear viscoelastic waves

Cites Work

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