Quasilinear equations for viscoelasticity of strain-rate type

DOI10.1007/s00205-007-0109-xzbMath1147.74008OpenAlexW1968878463MaRDI QIDQ948916

Brian Tvedt

Publication date: 16 October 2008

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

Full work available at URL: https://doi.org/10.1007/s00205-007-0109-x

zbMATH Keywords

regularityexistenceuniquenessnonconvex strain function

Mathematics Subject Classification ID

Related Items (15)

Asymptotics and attractors for quasilinear parabolic-hyperbolic systems governing the motions of heavily burdened deformable bodies ⋮ Quasistatic nonlinear viscoelasticity and gradient flows ⋮ Existence and Uniqueness of Global Weak Solutions to Strain-Limiting Viscoelasticity with Dirichlet Boundary Data ⋮ Global attractor of the quasi-linear wave equation with strong damping ⋮ Longtime dynamics of the quasi-linear wave equations with structural damping and supercritical nonlinearities ⋮ Radially symmetric motions of nonlinearly viscoelastic bodies under live loads ⋮ Existence and uniqueness for a viscoelastic Kelvin–Voigt model with nonconvex stored energy ⋮ Some qualitative properties for the equations of pre-stressed viscoelastic solids ⋮ Thermodynamics of viscoelastic solids, its Eulerian formulation, and existence of weak solutions ⋮ Spatial estimates for Kelvin–Voigt finite elasticity with nonlinear viscosity: Well behaved solutions in space ⋮ On the nonlinear theory of viscoelasticity of differential type ⋮ Quasistatic viscoelasticity with self-contact at large strains ⋮ On a Special Class of Nonlinear Viscoelastic Solids ⋮ Finite-dimensional attractors for the quasi-linear strongly-damped wave equation ⋮ Thermoviscoelasticity in Kelvin-Voigt rheology at large strains

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• Pseudoparabolic Partial Differential Equations
• Finite-Element Methods for a Strongly Damped Wave Equation
• Nonlinear problems of elasticity

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