A stick-slip/Rouse hybrid model for viscoelasticity in polymers
نویسندگان
چکیده
منابع مشابه
A Stick-Slip/Rouse Hybrid Model for Viscoelasticity in Polymers
A Rouse model for polymer chains is incorporated into the linear continuous stickslip molecular-based tube reptation ideas of Doi-Edwards and Johnson-Stacer. This treats the physically constrained (PC) molecular stretches as internal strain variables for the overall PC/chemically cross-linked (CC) system. It yields an explicit system of stress-strain equations for the system permitting simple c...
متن کاملViscoelasticity of dilute solutions of semiflexible polymers.
We show using Brownian dynamics simulations and theory how the shear relaxation modulus G(t) of dilute solutions of relatively stiff semiflexible polymers differs qualitatively from that of rigid rods. For chains shorter than their persistence length, G(t) exhibits three time regimes: At very early times, when the longitudinal deformation is affine, G(t) approximately t(-3/4). Over a broad inte...
متن کاملMesoscopic theory of the viscoelasticity of polymers.
We have advanced our previous static theory of polymer entanglement involving an extended Cahn-Hilliard functional, to include time-dependent dynamics. We go beyond the Gaussian approximation, to the one-loop level, to compute the frequency dependent storage and loss moduli of the system. The four parameters in our theory are obtained by fitting to available experimental data on polystyrene mel...
متن کاملA boundary element model for nonlinear viscoelasticity
The boundary element methodology is applied to the analysis of non-linear viscoelastic solids. The adopted non-linear model uses the same relaxation moduli as the respective linear relations but with a time shift depending on the volumetric strain. Nonlinearity introduces an irreducible domain integral into the original integral equation derived for linear viscoelastic solids. This necessitates...
متن کاملQuantitative Tube Model Predictions for the Linear Viscoelasticity of Linear Polymers
Tube models derived from the basic ideas of De Gennes and Doi & Edwards on reptation of entangled chains have made tremendous progress in the past 30 years and have now reached a quantitative level for the prediction of linear viscoelasticity of linear polymers. After a concise reminder of key experimental features of dynamic moduli, we first review the fundamental ingredients of quantitative t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nonlinear Analysis: Real World Applications
سال: 2008
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2007.06.015