Approximate representation of dissipation function in case of linear viscoelasticity with variable-amplitude vibrations

DOI10.1007/BF00883124zbMath0536.73028OpenAlexW2079824599MaRDI QIDQ3321558

Igor K. Senchenkov

Publication date: 1983

Published in: Soviet Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00883124

zbMATH Keywords

Heaviside functionnonlinear viscoelasticityVoigt modelnon-isothermalTaylor theoremFrechet derivativeapproximate representation of dissipation functionsintegral form of the determining equations for stress and internal dissipationsufficiently fast relaxationvariable-amplitude vibrationsvibrations with sufficiently smooth and slowly varying amplitude

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Cites Work

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• An approximation theorem for functionals, with applications in continuum mechanics
• On mathematical forms for the material functions in nonlinear viscoelasticity
• Thermomechanical main theory of viscoelasticity for generalized thermorheologically simple porous materials

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