Comparison of linear viscoelastic constitutive equations for non-uniform polymer melts
β Scribed by J. C. Scanlan; J. Janzen
- Publisher
- Springer-Verlag
- Year
- 1992
- Tongue
- English
- Weight
- 919 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0035-4511
No coin nor oath required. For personal study only.
β¦ Synopsis
Linear-viscoelastic properties of polydisperse and randomly-branched polymer melts were fit with several proposed relaxation functions by non-linear regression. Three polymer systems were investigated, including 1) crosslinked polyethylenes, 2) polydisperse linear poly(dimethylsiloxane)s, and 3) Marlex polyethylenes, which are polydisperse and probably contain long-chain branching. Four relaxation functions were evaluated, including the Rouse, reptation, stretched-exponential, and stretched-exponential-power-law (SEPL) relaxation functions. The SEPL best described each series of polymers, and therefore may be a general relaxation function for non-uniform polymer melts. The flow activation energy for crosslinked polyethylene may be coupled to a breadthof-relaxation index, indicating that a coupling between a characteristic short relaxation time and longest relaxation time, as suggested by Ngai and Plazek (J. Polym. Sci. Polym. Phys. Ed. 1985, 23:2159-2180), may hold for some nonuniform polymers.
π SIMILAR VOLUMES
## Abstract **Summary:** We present and assess the use of nonβequilibrium molecular dynamics (NEMD) simulation method for the direct study of the linear viscoelastic behavior of polymer melts. The polymer melt is modeled by a collection of repulsive, anharmonic multibead chains subjected to small a
## Abstract This paper is concerned with the nonβlinear viscoelastic equation We prove global existence of weak solutions. Furthermore, uniform decay rates of the energy are obtained assuming a strong damping Ξ__u~t~__ acting in the domain and provided the relaxation function decays exponentially.
This paper is devoted to two speci"c aspects of shear band analysis for geomaterials, which are basically, non-standard materials. Problems arising from incremental non-linearity (multilinear or thoroughly nonlinear models) and consequences of discontinuities of the constitutive equations with respe