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    유변학적 문제해결을 위한 고정점 반복법의 응용 = Application of Fixed Point Iteration to Rheological Problems

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    https://www.riss.kr/link?id=T15076989

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    다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

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    It is usual to solve a system of linear equations such as in rheological problems. Some of examples are calculations of molecular weight distribution and relaxation time spectrum from experimental data. In these example, is the molecular weight distribution or relaxation time spectrum and and are related to the given experimental data and given function in the equation. Many algorithms have been developed to satisfy the condition that all must be obtained as a positive number. These algorithms find good solutions when is a diagonal dominant matrix. However, when is a non-diagonal dominant matrix, it is difficult to find good solution. There are two examples that have such problem. One is calculation of molecular weight distribution and the other is calculation of relaxation time spectrum from relaxation modulus.
    It showed that the improved algorithm that was developed by Kim[12] and the author of this paper can calculate the molecular weight distribution. In this study we consider the influence of parameters on the algorithm. Based on these considerations, we compute the molecular weight distribution. Also, we apply this algorithm to the problem of calculating the relaxation time spectrum from the relaxation modulus with same problem as molecular weight distribution.
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    It is usual to solve a system of linear equations such as in rheological problems. Some of examples are calculations of molecular weight distribution and relaxation time spectrum from experimental data. In these example, is the molecular weight di...

    It is usual to solve a system of linear equations such as in rheological problems. Some of examples are calculations of molecular weight distribution and relaxation time spectrum from experimental data. In these example, is the molecular weight distribution or relaxation time spectrum and and are related to the given experimental data and given function in the equation. Many algorithms have been developed to satisfy the condition that all must be obtained as a positive number. These algorithms find good solutions when is a diagonal dominant matrix. However, when is a non-diagonal dominant matrix, it is difficult to find good solution. There are two examples that have such problem. One is calculation of molecular weight distribution and the other is calculation of relaxation time spectrum from relaxation modulus.
    It showed that the improved algorithm that was developed by Kim[12] and the author of this paper can calculate the molecular weight distribution. In this study we consider the influence of parameters on the algorithm. Based on these considerations, we compute the molecular weight distribution. Also, we apply this algorithm to the problem of calculating the relaxation time spectrum from the relaxation modulus with same problem as molecular weight distribution.

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    목차 (Table of Contents)

    • 1. 서 론 . １
    • 2. 이론적 배경 ３
    • 2.1. 선형 점탄성 ３
    • 2.2. 완화시간분포 ４
    • 2.3. 고정점 반복법 ８
    • 1. 서 론 . １
    • 2. 이론적 배경 ３
    • 2.1. 선형 점탄성 ３
    • 2.2. 완화시간분포 ４
    • 2.3. 고정점 반복법 ８
    • 3. 알고리즘 개발 . １１
    • 3.1. 분자량 분포 계산 . １１
    • 3.1.1. 확장된 콜-콜 모델 . １１
    • 3.1.2. 2 차 혼합규칙에 사용되는 완화 탄성률 계산 １８
    • 3.1.3. 분자량 분포 반복 식 구성 ２６
    • 3.2. 완화 탄성률로부터 완화시간분포 계산 . ２７
    • 3.2.1. 완화시간분포 반복 식 구성 . ２７
    • 3.3. 계산 알고리즘 ２８
    • 4. 결과 및 고찰 . ３２
    • 4.1. 분자량분포 계산 . ３２
    • 4.1.1. 초기 조건에 의한 영향 ３２
    • 4.1.2. 분자량 분포 계산 결과 ３６
    • 4.2. 완화 탄성률을 이용한 완화시간분포 계산 ３９
    • 5. 결론 . ４１
    • 참고문헌 ４３
    • 영문초록. ４５
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