On the quasi-static approximation in dynamic linear viscoelasticity

DOI10.1007/BF00280462zbMath0511.73032OpenAlexW2021079291MaRDI QIDQ1839088

W. A. Day

Publication date: 1981

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00280462

zbMATH Keywords

Lebesgue measureorder relationquasi-static approximationapproximate closely to solutiondynamic linear viscoelasticityfull equationsresonant tractionSchwarz and Cauchy- Schwarz inequalitysubsidiary and creep lawtraction changes slowly

Mathematics Subject Classification ID

Linear constitutive equations for materials with memory (74D05) Nonlinear constitutive equations for materials with memory (74D10) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99) Dynamical problems in solid mechanics (74Hxx)

Related Items (4)

Some one-dimensional continuum analogues of the ergodic and recurrence theorems ⋮ Mean and recurrence properties of the temperature in dynamic thermoelasticity ⋮ Cesàro means and recurrence in dynamic thermoelasticity ⋮ A priori estimates for the displacement and velocity vectors in the dynamical theory of linear viscoelasticity

Cites Work

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• The decay of the energy in a viscoelastic body

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