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The development of plane shock waves in nonlinear viscoelastic media

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Publication:4094490
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DOI10.1098/rspa.1976.0004zbMath0328.73027OpenAlexW2143695370MaRDI QIDQ4094490

R. W. Lardner

Publication date: 1976

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1976.0004



Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear constitutive equations for materials with memory (74D10) Waves in solid mechanics (74J99)


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Shear shock formation in incompressible viscoelastic solids ⋮ A numerical shock profile in a slowly relaxing medium ⋮ The asymptotic form of shocks in relaxing media ⋮ One-dimensional deformation waves in nonlinear viscoelastic media ⋮ Two generalisations of Burgers' equation ⋮ A note on traveling wave solutions for a class of nonlinear viscoelastic media ⋮ The evolution of nonlinear standing waves in bounded media ⋮ Nonlinear effects on transverse shear waves in an elastic medium ⋮ Approximate equations for torsional waves in a nonlinear elastic rod with weak viscoelasticity ⋮ The structure of non-equilibrium shocks in relaxing media ⋮ ``Generalized Burgers' equation for nonlinear viscoelastic waves



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