Equations describing the propagation of nonlinear quasitransverse waves in a weakly non-isotropic elastic body

DOI10.1016/0021-8928(86)90009-2zbMath0624.73032OpenAlexW2081740413MaRDI QIDQ578996

A. G. Kulikovskij

Publication date: 1986

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(86)90009-2

zbMATH Keywords

Approximate equationslow amplitudenearly isotropic elastic mediumnonlinear quasitransverse wave

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (10)

The existence and uniqueness of self-similar solutions involving Jouguet points on the shock adiabatic curve ⋮ On the nonuniqueness of solutions to the nonlinear equations of elasticity theory ⋮ Near-resonace transverse oscillations in an elastic layer. Steady-state solutions ⋮ Special discontinuities in nonlinearly elastic media ⋮ The effect of small-scale processes in the structure of discontinuities on the solution of the Riemann problem ⋮ Longitudinal-torsional waves in nonlinear elastic rods ⋮ Nonuniqueness of a self-similar solution to the Riemann problem for elastic waves in media with a negative nonlinearity parameter ⋮ Stability of shock wave structures in nonlinear elastic media ⋮ Unnamed Item ⋮ Classical and nonclassical discontinuities and their structures in nonlinear elastic media with dispersion and dissipation

Cites Work

• Investigation of the shock adiabat of quasitransverse shock waves in a prestressed elastic medium
• Nonlinear evolution of parallel-propagating hydromagnetic waves
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