Molecular-based Models for Viscoelasticity of Polymers

Mathematical Modeling;Polymer;Viscoelasticity

Hood, Jeffrey Braidon ; Dr. R. Smith, Committee Member,Dr. H.T. Tran, Committee Member,Dr. H.T. Banks, Committee Co-Chair,Dr. N.G. Medhin, Committee Co-Chair,Hood, Jeffrey Braidon ; Dr. R. Smith ; Committee Member ; Dr. H.T. Tran ; Committee Member ; Dr. H.T. Banks ; Committee Co-Chair ; Dr. N.G. Medhin ; Committee Co-Chair

University:North Carolina State University

关键词: Mathematical Modeling;    Polymer;    Viscoelasticity;   

Others  :  https://repository.lib.ncsu.edu/bitstream/handle/1840.16/3475/etd.pdf?sequence=1&isAllowed=y

美国|英语

来源: null

【 摘 要 】

Various models are developed to describe several different aspects of the dynamics of polymers.First, a model is developed which describes the dynamics of a single polymer chain, residing in a viscous fluid, in response to various stimuli.Next, constitutive models leading to reptation are developed, which determine the stress-strain relations for a system of physically constrained (PC) molecules residing within a chemically cross-linked (CC) system of molecules acting as a constraining tube for the PC system.These reptation models treat relaxation within the context of both intra-molecular and inter-molecular variability.Finally, a model is developed which combines the Rouse model of relaxing polymers and the stick-slip reptation model.This stick-slip/Rouse hybrid model incorporates parameters which were ignored in models developed in the earlier parts of the dissertation.