Viscoelasticity in Polymers: Phenomenological to Molecular Mathematical Modelling

A Brief Review of Some Approaches to Hysteresis in Viscoelastic Polymers

We give a brief review of hysteresis in viscoelastic polymers. The efforts surveyed range from phenomenological to molecular modelling with applications involving recent efforts on elastomers to biotissue.

A thermodynamic theory of solid viscoelasticity. Part I: Linear viscoelasticity

The present series of three consecutive papers develops a general theory for linear and fmite solid viscoelasticity. Because the most important object for nonlinear studies are rubber-like materials, the general approach is specified in a form convenient for solving problems important for many industries that involve rubber-like materials. General linear and nonlinear theories for non-isotherma...

Single-particle tracking: Brownian dynamics of viscoelastic materials.

A unifying theoretical framework for analyzing stochastic data from single-particle tracking (SPT) in viscoelastic materials is presented. A generalization of the bead-spring model for linear polymers is developed from a molecular point of view and from the standpoint of phenomenological linear viscoelasticity. The hydrodynamic interaction in the former is identified as the dashpots in the latt...

Wave hierarchies in viscoelasticity

Brownian Dynamics of Viscoelastic Materials

A unifying theoretical framework for analyzing stochastic data from single-particle tracking (SPT) in viscoelastic materials is presented. A generalization of the bead-spring model for linear polymers is developed from a molecular point of view and from the standpoint of phenomenological linear viscoelasticity. The hydrodynamic interaction in the former is identiied as the dashpots in the latte...