On the thermodynamics of viscoelastic materials of single-integral type

DOI10.1090/qam/1096233zbMath0747.73006OpenAlexW755894406MaRDI QIDQ4713583

Morton E. Gurtin, William J. Hrusa

Publication date: 25 June 1992

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1096233

zbMATH Keywords

energy-strain relaxation functionenergy-temperature relaxation functionstress-strain relaxation functionstress-temperature relaxation function

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Linear constitutive equations for materials with memory (74D05) Nonlinear constitutive equations for materials with memory (74D10)

Related Items (14)

Invariant and partially invariant solutions of integro-differential equations for linear thermoviscoelastic aging materials with memory ⋮ Multipolar viscoelastic materials and the symmetry of the coefficients of viscosity ⋮ On the existence of a global mild solution for a nonlinear integrodifferential equation with a singular kernel ⋮ Asymptotic Analysis of a Hyperbolic Mixed Problem in One‐Dimensional Viscoelasticity ⋮ Variational formulations for the linear viscoelastic problem in the time domain ⋮ Global existence of weak solutions to the boundary value problem for a three-dimensional viscoelastic dynamic system ⋮ Constitutive fractional modeling ⋮ Mean-field descriptions for the viscoelastic response of thermorheologically complex reinforced solids ⋮ On the thermodynamically consistent fractional wave equation for viscoelastic solids ⋮ Global existence and asymptotic behavior for one-dimensional thermoelasticity of integral type with hyperbolic heat conduction ⋮ Existence of periodic weak solutions to the three-dimensional nonlinear viscoelastic system ⋮ The concept of a minimal state in viscoelasticity: new free energies and applications to PDEs ⋮ Thermodynamically consistent modeling for complex fluids and mathematical analysis ⋮ Free energies and dissipation properties for systems with memory

This page was built for publication: On the thermodynamics of viscoelastic materials of single-integral type