TAILIEUCHUNG - Geometric and Mechanical Modelling of Textiles

Given a data set about an individual or group (., interviewer ratings, life history or demographic facts, test results, self-descriptions), there are two modes of data combination for a predictive or diagnostic purpose. The clinical method relies on human judgment that is based on informal contemplation and, sometimes, discussion with others (., case conferences). The mechanical method involves a formal, algorithmic, objective procedure (., equation) to reach the decision. Empirical comparisons of the accuracy of the two methods (136 studies over a wide range of predictands) show that the mechanical method is almost. | Geometric and Mechanical Modelling of Textiles Martin Sherburn Thesis submitted to The University of Nottingham for the degree of Doctor of Philosophy July 2007 Contents Abstract vii Acknowledgements viii Glossary ix Nomenclature xi 1 Introduction 1 Textile reinforced composites. 1 Types of textile architecture. 2 Thesis overview. 3 2 Geometric modelling of textiles 5 Introduction. 5 Literature survey. 6 Yarn path and cross-section models. 6 Textile geometrical modelling software. 8 Yarn path representation. 11 Cubic Bézier splines . 12 Natural cubic splines . 13 Periodic cubic splines . 14 Yarn cross-section. 16 Ellipse . 16 Power ellipse. 16 i Contents Lenticular. 16 Yarn surface. 18 Constant cross-section. 19 Interpolated cross-sections . 19 Yarn repeats. 21 Domain. 21 Surface mesh. 22 Volume mesh . 24 Cross-section meshing. 24 Linking. 26 Fibre volume fraction. 26 Intersections. 28 Point inside yarn . 28 Yarn intersections . 30 Implementation . 31 Modules . 31 Core . 33 Conclusions. 35 3 Textile geometry model case validations 36 Introduction . 36 Literature survey . 37 Experimental techniques. 38 Fabric thickness. 38 Microscopy. 39 Microtomography . 40 Measuring parameters . 40 Image analysis . 41 Case study Chomarat 150TB. 44 Validation. 47 .

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