The asymptotic form of shocks in relaxing media

DOI10.1016/0165-2125(88)90028-5zbMath0662.73018OpenAlexW2029357371MaRDI QIDQ1114475

G. R. Nicklason

Publication date: 1988

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(88)90028-5

zbMATH Keywords

Laplace transformasymptotic solutionsperturbation solutionintegrodifferential equationslowest-order solutionnonlinear viscoelastic problemsoscillatory asymptotic solutionstep-up behaviour

Mathematics Subject Classification ID

Linear constitutive equations for materials with memory (74D05) Impact in solid mechanics (74M20) Nonlinear constitutive equations for materials with memory (74D10) Asymptotics of solutions to integral equations (45M05)

Cites Work

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• The structure of shock layers in elastic-plastic media: Micro-plastic regime
• 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
• A numerical shock profile in a slowly relaxing medium
• The development of plane shock waves in nonlinear viscoelastic media

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