Lecturer(s)
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Mertová Iva, Ing. Ph.D.
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Vyšanská Monika, Ing. Ph.D.
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Neckář Bohuslav, prof. Ing. DrSc.
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Course content
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Lectures: 1. Introduction - basic terms, definitions and relations of mechanics, solids and deformable bodies, continuum and structural mechanics. 2. Fiber orientation - description of orientation in space, orientation in sections, model of orientation in a plane. 3. Stochastic theory of fiber-to-fiber contacts - their density according Wyk, and distribution. 4. Compression of fibrous material - model according Wyk, its generalization, corrections. 5. Tensioning of parallel fiber bundle - generalization of Hamburger's theory for a general number of components. 6. Tensioning of fiber bundle - bundle with variable strength, strain and fiber waviness. 7. Tensioning of multi-axial textiles - stress-strain curve, strength and breaking strain of fibers, fiber systems and whole multiaxial textiles, regular multiaxial textiles. 8. Textiles with continuous distribution of fiber directions - forces in fibers and textile, influence of fiber orientation to mechanical properties, textiles with preference of one fiber direction. 9. Yarn strength and gauge lengths - weakest link principle, stochastic model of independent strengths of a short and long sections, Peirce, Weibull. 10 Yarn strengths as a stationary, ergodic, Markovian, and Gaussian random process. Practices: Applications of lectures, examples.
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Learning activities and teaching methods
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Monological explanation (lecture, presentation,briefing), Dialogue metods(conversation,discussion,brainstorming), Project teaching
- Class attendance
- 42 hours per semester
- Home preparation for classes
- 30 hours per semester
- Preparation for credit
- 40 hours per semester
- Preparation for exam
- 60 hours per semester
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Learning outcomes
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Basic terms, definitions and relations in mechanics. Compression of fibrous material - Wyk's model and its generalization. Strength and breaking strain of parallel fiber bundle. Tensioning of twisted fiber bundles. Tensioning of multi-axial textiles, formations with continual distribution of directions, tensioning of woven and knitted fabrics.
Student orientates himself in problem area of structure and properties of textiles
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Prerequisites
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Knowledge of structural theory of fiber assemblies on the bachelor's level, knowledge of mathematics incl. theory of probability, mechanics and textile technologies.
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Assessment methods and criteria
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Oral exam, Student's performance analysis
Credit: Succesfully written credit test. Exam: The examination is oral. Student can use all arbitrary study-materials by examination. Student must demonstrate very good understanding of all theoretical models, incl. ways of mathematical derivations, by discussion with examiner.
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Recommended literature
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Soubor přednášek (slides) na internetových stránkách katedry.
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Hearle J.W.S., Grosberg P., Backer S. Structural mechanics of fibers, yarns and fabrics. Wiley Ltd., New York,, 1969.
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Neckář B., Das. D. Theory of structure and mechanics of fiber assemblies. Woodhead Publishing, 2012.
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Neckář B., Ibrahim S. Structural theory of fibrous assemblies and yarns. TU Liberec, 2003.
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Neckář B. Morfologie a strukturní mechanika obecných vlákenných útvarů. TU Liberec, 1989.
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Neckář, B. Příze - tvorba, struktura, vlastnosti. SNTL Praha, 1990.
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Stříž B. Mechanika textilií, I část - Základy mechaniky kontinua. Liberec, 2001.
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Zurek W. Struktura przedzy. WNT, Warszawa, 1971.
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