Similarity solutions and model constitutive laws to viscoelasticity with application to nonlinear wave propagation
DOI10.1007/BF00945311zbMath0686.73030OpenAlexW2067115735MaRDI QIDQ1262799
Publication date: 1989
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00945311
shock wavesimilarity solutionMaxwell modelKelvin-Voigt modelstretching groupclasses of material response functionsgoverning system of equationsinvariant under the dilatation groupMaxwell media wave propagationnon constant state
Vibrations in dynamical problems in solid mechanics (74H45) Thermodynamics in solid mechanics (74A15) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Applications of Lie groups to the sciences; explicit representations (22E70) Linear constitutive equations for materials with memory (74D05) Nonlinear constitutive equations for materials with memory (74D10) Theory of constitutive functions in solid mechanics (74A20) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)
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