On the thermodynamic interpretation of the evolutionary conditions of the equations of the mechanics of finitely deformable viscoelastic media of Maxwell type

DOI10.1016/0021-8928(72)90169-4zbMath0322.73023OpenAlexW1588773308MaRDI QIDQ1223963

I. M. Rutkevich

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1016/0021-8928(72)90169-4

Mathematics Subject Classification ID

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

Related Items

A hyperbolic model for viscous Newtonian flows, Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity, A stable and convergent scheme for viscoelastic flow in contraction channels, On the numerical stability of mixed finite-element methods for viscoelastic flows governed by differential constitutive equations, Hyperbolicity and change of type in the flow of viscoelastic fluids

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Waves in materials with memory. I: The velocity of one-dimensional shock and acceleration waves
• The propagation of small perturbations in a viscoelastic fluid
• Propagation of a plane wave in an isotropic elastic material subjected to pure homogeneous deformation
• A Rheological Equation of State which Predicts Non-Newtonian Viscosity, Normal Stresses, and Dynamic Moduli
• The hydrodynamics of materials whose rheological properties are complicated
• The kinematics of viscoelastic media with finite deformations
• An inverse for the Jaumann derivative and some applications to the rheology of viscoelastic fluids
• Sur Les Propriétés Différentielles De La Production d'Entropie