Simple deformation in a problem on vibrations and heating of nonlinear viscoelastic bodies

DOI10.1007/BF00888896zbMath0653.73019OpenAlexW1989143088MaRDI QIDQ3799692

Olga P. Chervinko, V. I. Kozlov, V. G. Karnaukhov, Igor K. Senchenkov

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf00888896

zbMATH Keywords

amplitude equationsuniaxial stressGalerkinequivalent linearizationdynamic deformationgoverning equationsquasistaticconcept of simple deformationmultiaxial statequantitative evaluation of the errorsmall mono- and polyharmonic strains

Mathematics Subject Classification ID

Nonlinear constitutive equations for materials with memory (74D10) Theory of constitutive functions in solid mechanics (74A20) Dynamical problems in solid mechanics (74Hxx)

Related Items (5)

Calculation of the stiffness and dissipative heating of nonlinearly viscoelastic vibration dampers during cyclic deformation ⋮ Absorption coefficient in the cyclic deformation of structural materials and their constituent viscoelastic elements ⋮ Interpretation of the physical equations of nonlinear media under cyclic strain ⋮ Stiffness and heating of a nonlinearly viscoelastic prism during combination loading in compression-shear ⋮ Constitutive equations of physically nonlinear viscoelastic bodies with cyclic deformation

Cites Work

• Vibrations and heating of a viscoelastic rectangular prism and viscoelastic finite cylinder in the case of kinematic excitation
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