The decay of the energy in a viscoelastic body

DOI10.1112/S0025579300010159zbMath0466.73034OpenAlexW2030177940MaRDI QIDQ3919172

W. A. Day

Publication date: 1980

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300010159

zbMATH Keywords

asymptotic stabilitydynamic theoryprescribed tractionshomogeneous filamentinequalities involving total energyrate of working

Mathematics Subject Classification ID

Dynamical problems in solid mechanics (74H99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99) Equilibrium (steady-state) problems in solid mechanics (74G99)

Related Items

On boundary feedback stabilisability of a viscoelastic beam ⋮ Asymptotics of solutions to a system of connected incomplete second-order integro-differential operator equations ⋮ The exponential stabilization of the higher-dimensional linear system of thermoviscoelasticity ⋮ Asymptotic to systems with memory and non-local initial data ⋮ Energy decay and global attractors for thermoviscoelastic systems ⋮ Global existence, asymptotic behavior and uniform attractors for non-autonomous thermoelastic systems ⋮ On the quasi-static approximation in dynamic linear viscoelasticity ⋮ A priori estimates for the displacement and velocity vectors in the dynamical theory of linear viscoelasticity ⋮ Global existence, asymptotic stability, and uniform attractors for non-autonomous thermoelastic systems with constant time delay

Cites Work

• Asymptotic stability in linear thermoviscoelasticity
• Dynamical systems and stability
• An abstract Volterra equation with applications to linear viscoelasticity