Finite element analysis of sinusoidal small‐amplitude vibrations in deformed viscoelastic solids. Part I: Theoretical development

DOI10.1002/nme.1620190712zbMath0509.73088OpenAlexW2122440627MaRDI QIDQ4749368

Joop C. Nagtegaal, Kenneth N. jun. Morman

Publication date: 1983

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620190712

zbMATH Keywords

fading memoryincompressible materialgeneral methodviscoelastic cylindersmall amplitude vibrationscombined axialdynamic (complex) stiffnessfinite linear viscoelasticity constitutive equationsisothermal mechanical analysisMARC nonlinear finite element programresponse of statically deformed elastomeric componentssmall-amplitude time harmonic oscillationstatic force-deflection behavioursuperposed on static finite deformation fieldtwisting pre-loads

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Thermodynamics in solid mechanics (74A15) Numerical and other methods in solid mechanics (74S99) 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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Cites Work

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