6533b851fe1ef96bd12aa11f

RESEARCH PRODUCT

Testing of a constitutive equation with free volume dependent relaxation spectrum

Giuseppe TitomanlioF. P. La Mantia

subject

ViscosityCauchy elastic materialMaterials scienceCauchy stress tensorDifferential equationConstitutive equationIsotropyRelaxation (physics)ThermodynamicsGeneral Materials ScienceCondensed Matter PhysicsViscoelasticityMathematical physics

description

A model of non-linear viscoelasticity with relaxation times dependent upon free volume is here proposed. The free volume is related to the isotropic part of the stress tensor by means of a simple differential equation. The model predictions are compared with a large amount of experimental results taken on polymeric melts or concentrated solutions and reported in the literature. The single parameter of the model is determined, within each set of data, by fitting of the viscosity curve. A satisfactory agreement is obtained with data taken under both elongation and shear for which also the relaxation behavior after single and double strain steps is considered.

https://doi.org/10.1007/bf01736953