단분산성 고분자의 선형 점탄성 모델과 이차 혼합 규칙을 이용한 분자량 분포의 계산 = Calculation of Molecular Weight Distribution using Linear Viscoelastic Model of Monodisperse Polymer and Quadratic Mixing Rule

다국어 초록 (Multilingual Abstract)

Molecular weight distribution of polymer is one of the important factors affecting mechanical properties of polymer and its processability. Molecular weight distributions are typically measured by GPC (Gel Permeation chromatography). However, these measurements are sometimes not available because of solubility problem for commercial polymers such as Kevlar, Teflon, PE(polyethylene), and PP(Polypropylene). Furthermore, cost aspects, for polymers like PP, GPC measurement sometimes requires a lot of cost compared with rheological determination of MWD.
To overcome these limitations and problems of GPC measurement of molecular weight distribution, in this study, we developed a method calculating the molecular weight distributions from rheological properties. Quadratic mixing rule derived from double reptation theory is adopted and a phenomenological model, composed with parameters having molecular weight dependence, is used to describe linear viscoelasticity of monodisperse polymer melts. Also, we used Fixed-point iteration method originally developed for determining the relaxation time spectrum from dynamic moduli data to get the information of molecular weight distribution from the mixing rule.

목차 (Table of Contents)

• I. 서 론 １
• II . 이론적 배경 ４
• II-1. 선형 점탄성 ４
• II-2. 완화시간분포 ９
• II-3. Monte Carlo 회귀분석 １３
• III. 단분산성 고분자의 선형 점탄성 모델 １７
• III-1. Extended Cole-Cole 모델 １７
• III-2. Extended Cole-Cole 모델의 매개 변수 결정 2０
• III-3. Extended Cole-Cole 모델의 유효성 ２５
• IV. 2차 혼합 규칙에 활용되는 완화탄성률 계산 ３０
• IV-1. 다분산성 고분자의 완화탄성률 계산 ３０
• IV-2. 단분산성 고분자의 완화탄성률 계산 ３６
• V. 2차 혼합 규칙을 활용한 분자량 분포 계산 ３９
• VI. 결론 ４５
• VII. 참고문헌 ４７
• 영문초록 ５２
• 부록 ５４