Transverse cylindrical simple waves and shock waves in elastic non- conductors

DOI10.1016/0020-7683(91)90213-YzbMath0734.73014OpenAlexW2005580217MaRDI QIDQ811160

N. E. Zubov

Publication date: 1991

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7683(91)90213-y

zbMATH Keywords

perturbationsapproximationsshock wave solutionsevolution lawevolution equation for amplitude of second-order discontinuityshock-fitting methodthird-order discontinuitytransverse cylindrical motionsunstrained incompressible isotropic elastic non- conductorweakly nonlinear geometrical optics

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with optics and electromagnetic theory (35Q60) Nonlinear elasticity (74B20) Impact in solid mechanics (74M20) Waves in solid mechanics (74J99) Geometric optics (78A05)

Related Items (2)

Analytical study of acceleration waves on a nonlinear, externally damped string ⋮ The propagation and reflection of finite amplitude cylindrically symmetric shear waves in a hyperelastic incompressible solid

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