scholarly journals Fluctuation dissipation relation and scaling behavior during aging in polymer glasses

2008 ◽  
Author(s):  
Hassan Oukris
Keyword(s):  
Scaling Behavior ◽  
Polymer Glasses ◽  
Fluctuation Dissipation

Size-dependent penetrant diffusion in polymer glasses

Soft Matter ◽  
2018 ◽  
Vol 14 (21) ◽  
pp. 4226-4230 ◽  
Author(s):  
Dong Meng ◽  
Kai Zhang ◽  
Sanat K. Kumar
Keyword(s):  
Diffusion Coefficients ◽  
Scaling Behavior ◽  
Polymer Glasses ◽  
Universal Scaling ◽  
Size Dependent ◽  
Penetrant Diffusion

The universal scaling behavior of the diffusion coefficients D/T as a function of the “effective” penetrant size (σs − σc)/(α − α0).

Eyring equation and fluctuation–dissipation far away from equilibrium

2020 ◽  
Vol 153 (24) ◽  
pp. 244116
Author(s):  
I. Santamaría-Holek ◽  
A. Pérez-Madrid
Keyword(s):  
Fluctuation Dissipation ◽  
Eyring Equation

scholarly journals Theory of the deformation of aligned polyethylene

2015 ◽  
Vol 471 (2180) ◽  
pp. 20150171 ◽  
Author(s):  
A. Hammad ◽  
T. D. Swinburne ◽  
H. Hasan ◽  
S. Del Rosso ◽  
L. Iannucci ◽  
...  
Keyword(s):  
Load Transfer ◽  
Tensile Load ◽  
Equation Of Motion ◽  
Dislocation Dynamics ◽  
Viscoelastic Deformation ◽  
Transfer Length ◽  
Soliton Dynamics ◽  
Fluctuation Dissipation ◽  
Pull Out ◽  
Definition Of

Solitons are proposed as the agents of plastic and viscoelastic deformation in aligned polyethylene. Interactions between straight, parallel molecules are mapped rigorously onto the Frenkel–Kontorova model. It is shown that these molecular interactions distribute an applied load between molecules, with a characteristic transfer length equal to the soliton width. Load transfer leads to the introduction of tensile and compressive solitons at the chain ends to mark the onset of plasticity at a well-defined yield stress, which is much less than the theoretical pull-out stress. Interaction energies between solitons and an equation of motion for solitons are derived. The equation of motion is based on Langevin dynamics and the fluctuation–dissipation theorem and it leads to the rigorous definition of an effective mass for solitons. It forms the basis of a soliton dynamics in direct analogy to dislocation dynamics. Close parallels are drawn between solitons in aligned polymers and dislocations in crystals, including the configurational force on a soliton. The origins of the strain rate and temperature dependencies of the viscoelastic behaviour are discussed in terms of the formation energy of solitons. A failure mechanism is proposed involving soliton condensation under a tensile load.

On the measurement of the width of the distribution of relaxation times in polymer glasses

Polymer ◽  
2002 ◽  
Vol 43 (2) ◽  
pp. 351-355 ◽  
Author(s):  
S Montserrat ◽  
J.M Hutchinson
Keyword(s):  
Relaxation Times ◽  
Polymer Glasses
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