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Mechanics and Thermodynamics of Mixtures with Continuous Diversity

Faria Santos, Sérgio Henrique (2003):
Mechanics and Thermodynamics of Mixtures with Continuous Diversity.
Darmstadt, Technische Universität, TU Darmstadt,
[Ph.D. Thesis]

Abstract

The aim of this thesis is to introduce to the reader the thermodynamic theory of mixtures with continuous diversity and to illustrate its potential through applications to diverse complex media. The most significative results of this dissertation comprehend: the clarification of the similarities between homogenization (structural averaging) of microstructured media and the continuum description of chemical mixtures; the solution of Müller's paradox of frame dependence in chemically reacting mixtures of liquid crystals; the thermodynamic theory of mixtures with continuous diversity; the derivation of balance equations and jump conditions for chemically reacting mixtures of microstructured media; the development of a constitutive theory for polymeric solutions of rodlike macromolecules within the frames of the theory of mixtures with continuous diversity; the construction of a thermodynamically consistent continuum theory for creep and recrystallization of ice sheets; the outline of a description of abrasion and fragmentation from the viewpoint of mixtures with continuous diversity.

Item Type: Ph.D. Thesis
Erschienen: 2003
Creators: Faria Santos, Sérgio Henrique
Title: Mechanics and Thermodynamics of Mixtures with Continuous Diversity
Language: English
Abstract:

The aim of this thesis is to introduce to the reader the thermodynamic theory of mixtures with continuous diversity and to illustrate its potential through applications to diverse complex media. The most significative results of this dissertation comprehend: the clarification of the similarities between homogenization (structural averaging) of microstructured media and the continuum description of chemical mixtures; the solution of Müller's paradox of frame dependence in chemically reacting mixtures of liquid crystals; the thermodynamic theory of mixtures with continuous diversity; the derivation of balance equations and jump conditions for chemically reacting mixtures of microstructured media; the development of a constitutive theory for polymeric solutions of rodlike macromolecules within the frames of the theory of mixtures with continuous diversity; the construction of a thermodynamically consistent continuum theory for creep and recrystallization of ice sheets; the outline of a description of abrasion and fragmentation from the viewpoint of mixtures with continuous diversity.

Place of Publication: Darmstadt
Publisher: Technische Universität
Uncontrolled Keywords: diversity, glaciology, thermodynamics, continuum, liquid crystal, recrystallization, polymer
Divisions: Study Areas > Study Area Mechanic
Study Areas
Date Deposited: 17 Oct 2008 09:21
Official URL: urn:nbn:de:tuda-tuprints-3073
License: only the rights of use according to UrhG
Referees: Hutter, Prof. PhD. Kolumban and Kremer, Prof. Dr. Gilberto M.
Refereed / Verteidigung / mdl. Prüfung: 5 March 2003
Alternative Abstract:
Alternative abstract Language
Das Ziel dieser Doktorarbeit ist die Einführung einer thermodynamischen Theorie für Mischungen mit stetiger Diversität und ihr Potenzial durch Anwendungen für verschieden komplexe Medien zu veranschaulichen. Die Hauptergebnisse dieser Arbeit sind: Darstellung der Ähnlichkeiten zwischen Homogenisierung mikrostrukturierter Medien und der Kontinuumsdarstellung chemischer Mischungen; Lösung des Müller-Paradoxons (Bezugssystemabhängigkeit der inneren Energie in chemisch reagierenden Mischungen von Flüssigkristallen); die thermodynamische Theorie der Mischungen mit stetiger Diversität; Herleitung der Bilanzgleichungen und der Sprungbedingungen für chemisch reagierende Mischungen von Medien mit Mikrostruktur; Entwicklung einer konstitutiven Theorie für Polymerlösungen fester, stabförmiger Makromoleküle im Rahmen der Mischungstheorie mit stetiger Diversität; Bildung einer termodynamisch konsistenten Kontinuumstheorie für Kriechen und Rekristalisation von Eisschilden; Entwurf einer Darstelung von Abrasion und Fragmentierung aus Sicht der Mischungstheorie mit stetiger Diversität.German
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