On the nonlinear Maxwell-type defining equations for describing the motions of polymer liquids

DOI10.1016/0021-8928(84)90037-6zbMath0598.76013OpenAlexW2074931116MaRDI QIDQ1080299

A. N. Prokunin

Publication date: 1984

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(84)90037-6

zbMATH Keywords

pure shearsimple shearfree energyuniaxial tensionelastic deformationcrystallizationnonlinear elastic mediumnonlinear Maxwell equationspolymer liquidslocally equilibrium statequasilinear non-equilibrium thermodynamicsrate of irreversible deformation

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Viscoelastic fluids (76A10) Irreversible thermodynamics, including Onsager-Machlup theory (82B35)

Related Items

Properties of a nonlinear viscoelastoplastic model of Maxwell type with two material functions ⋮ Нелинейная модель вязкоупругопластичности типа Максвелла: моделирование влияния температуры на кривые деформирования, релаксации и ползучести ⋮ Nonlinear model of shear flow of thixotropic viscoelastoplastic continua taking into account the evolution of the structure and its analysis ⋮ Кривые длительной прочности нелинейной модели вязкоупругопластичности типа Максвелла и правило суммирования поврежденности при ступенчатых нагружениях

Cites Work

• On the equivalence of simplest non-linear rheological equations for viscoelastic polymer media
• An improved simple version of a nonlinear theory of elasto-viscous polymer media
• The mechanics of rubber elasticity
• Nonequilibrium thermodynamics and rheology of viscoelastic polymer media
• Theoretical and experimental investigation of shearing in elastic polymer liquids
• A New Elastic Potential Function for Rubbery Materials
• A unified thermodynamic theory for large deformations in elastic media and in Kelvin (Voigt) media, and for viscous fluid flow
• The kinematics of viscoelastic media with finite deformations
• The Characters of the Symmetric Group
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item