Mathematical results concerning a class of incompressible viscoelastic solids of differential type

DOI10.1177/1081286510379150zbMath1269.74038OpenAlexW2125162671MaRDI QIDQ2842390

Kumbakonam R. Rajagopal, Ramón Quintanilla

Publication date: 14 August 2013

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286510379150

zbMATH Keywords

uniquenessexponential stabilityspatial behaviorincompressible viscoelastic solids

Mathematics Subject Classification ID

Linear constitutive equations for materials with memory (74D05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

On the states of stress and strain adjacent to a crack in a strain-limiting viscoelastic body

Cites Work

• Comparison arguments and decay estimates in non-linear viscoelasticity
• Quasistatic anti-plane motion in the simplest theory of nonlinear viscoelasticity
• Spatial and continuous dependence estimates in linear viscoelasticity.
• A note on a reappraisal and generalization of the Kelvin-Voigt model
• Some qualitative properties for the equations of pre-stressed viscoelastic solids
• A non-linear integral representation for viscoelastic behaviour
• Growth estimates for solutions of evolutionary equations in Hilbert space with applications in elastodynamics
• Decay Estimates in Steady Pipe Flow
• Shear Waves in a Class of Nonlinear Viscoelastic Solids
• On a Special Class of Nonlinear Viscoelastic Solids

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