On the nonuniqueness of solutions to the nonlinear equations of elasticity theory

DOI10.1007/s10665-004-3064-7zbMath1104.74035OpenAlexW2091947099MaRDI QIDQ862643

A. P. Chugainova, A. G. Kulikovskij, E. I. Sveshnikova

Publication date: 24 January 2007

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-004-3064-7

zbMATH Keywords

dispersionshock waveviscosity

Mathematics Subject Classification ID

Shocks and related discontinuities in solid mechanics (74J40) Nonlinear waves in solid mechanics (74J30) Linear constitutive equations for materials with memory (74D05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40)

Related Items (1)

Classical and nonclassical discontinuities and their structures in nonlinear elastic media with dispersion and dissipation

Cites Work

• Equations describing the propagation of nonlinear quasitransverse waves in a weakly non-isotropic elastic body
• Investigation of the shock adiabat of quasitransverse shock waves in a prestressed elastic medium
• Simple waves in nonlinearly elastic media
• A selfsimilar problem on the action of a sudden load on the boundary of an elastic half-space
• On the structure of quasitransverse elastic shock waves
• On shock wave propagation in stressed isotropic nonlinearly elastic media
• Shock adiabat of a plane longitudinal-shear discontinuity
• Hyperbolic systems of conservation laws II
• Electromagnetic shock waves and their structure in anisotropic magnetic materials
• Comment on ``Stability of Step Shocks
• Investigation of electromagnetic shock-wave structure in anisotropic ferromagnets with easy axis.
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