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CAD and constraint-based geometric modelling algorithms for 2D and 3D woven textile structures
| Content Provider | Semantic Scholar |
|---|---|
| Author | Smith, Martin A. Chen, Xiaogang |
| Copyright Year | 2008 |
| Abstract | Geometric models of woven textile structures form the basis for mechanical analysis of properties of textile assemblies and for components made from such textiles. Existing geometric models often ignore yarn interpenetration and compression, yet those models are frequently combined with mechanical models for property simulation and prediction. Meshes generated from geometric models that disregard yarn interpenetration contain overlapping elements and are generally unsuitable for finite element analysis. In contrast to many existing modelling approaches, the new algorithms guarantee to eliminate yarn interpenetration, do not assume yarns are incompressible and generate meshes with no overlapping elements, thus resulting in more accurate modelling of woven textile structures. In this paper, efficient, robust and novel algorithms are described and evaluated for geometric modelling of 2D and 3D woven textile structures. Hermite curves and Catmull-Rom splines are used to model yarn path centrelines. Existing 2D yarn crosssectional shapes are extended from 2D to 3D modelling. Additionally, a new approach to modelling yarn cross-sections is explored that captures a wide variety of observed irregular yarn cross-sectional shapes. The constraint-based geometric modelling algorithms use a hierarchical binary tree data structure for yarn collision detection and determination. Collision response eliminates yarn interpenetration. The algorithms apply to all woven structures regardless of dimension, interlacement or yarn cross-sectional shape. The results show visualisations of woven structure geometries are a qualitative improvement over existing techniques. Furthermore, the proposed geometric modelling approach is extensible to include the energybased approach and finite element simulation. |
| Starting Page | 199 |
| Ending Page | 214 |
| Page Count | 16 |
| File Format | PDF HTM / HTML |
| Volume Number | 3 |
| Alternate Webpage(s) | http://www.worldacademicunion.com/journal/1746-7659JIC/jicvol3no3paper05.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
