Long nonlinear waves in anisotropic cylinders

DOI10.1134/S0965542517070107zbMath1457.74103OpenAlexW2741428838MaRDI QIDQ1683042

A. P. Chugainova, A. G. Kulikovskij

Publication date: 6 December 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517070107

zbMATH Keywords

nonlinear wavesintegral curves of Riemann wavesoverturning conditions

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Nonlinear waves in solid mechanics (74J30)

Related Items (4)

Structures of non-classical discontinuities in solutions of hyperbolic systems of equations ⋮ Longitudinal-torsional waves in nonlinear elastic rods ⋮ Shock waves in anisotropic cylinders ⋮ Longitudinal and torsional shock waves in anisotropic elastic cylinders

Cites Work

• Uniqueness of self-similar solutions to the Riemann problem for the Hopf equation with complex nonlinearity
• Asymptotic behavior of nonlinear waves in elastic media with dispersion and dissipation
• Green's tensor for an elastic cylinder and its applications in the development of the Saint-Venant theory
• Homogeneous solutions and Saint-Venant problems for a naturally twisted rod
• Special discontinuities in nonlinearly elastic media
• Stability of discontinuity structures described by a generalized KdV-Burgers equation
• Classical and non-classical discontinuities in solutions of equations of non-linear elasticity theory
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