The paper deals with the modeling of the physical behavior of the woven structures imitating the textile fabrics. The model is focused on the mezzo-layer of the woven fabric, which gives us ability to investigate these structures in more precisely view. The model is based on a combined approach which presents longitudinal elastic properties of each yarn by a system of non-volumetric structural elements (springs), which us note as combined particles (CP-s), while the cross-deformation of the volumetric yarn is evaluated in a 3D space with the help of tight-fitting of oriented bounding boxes. Collision detection and response is an essential part of the simulation process. Dealing with deformable bodies it is the main time consuming stage of the computational model covering both collisions detection and response stages among colliding parts of the yarns. At a present time several techniques suitable for collision handling of deformable objects exist, so the brief discussion of the mostly suitable for level of yarns is presented. The focus of this paper is to develop an efficient model of the fabric as weaved structure. The collision detection algorithm implemented in this work is based on the idea of tracking the closest pairs of colliding elements known as temporal coherence together with the stochastic approach that is used to generate a new pairs of potentially colliding elements anywhere on the two approaching yarns. After local minima of a distance are reached the collision response scheme between two closest CP-s is applied. Collisions are updated at each time step during the simulation process, thus avoiding interpenetrations of the yarns while the cross-sectional deformations of the yarns are assumed not to exceed the half of the initial radius. An empiric model for evaluating deformations is used by assuming the geometrical shape of the cross-section being always elliptic with changing the length of the axes. The approach is a compromise between the simplified uni-dimensional rod system and a fully volumetric model of a yarn in a weave. It enables to achieve good performance along with the possibility to analyze the deformable yarn structure in 3D space. The advantage in comparison with traditional models presenting a yarn as a full volumetric deformable body is the significantly reduced number of degrees of freedom of the structure while preserving the “volumetric” behavior. Numerical examples considering the generation of the initial woven structure by tension of the structure of crimped yarns and the failure at shooting-through the fabric are presented.
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- Textile fabric simulator: collisions handling at the level of yarns
- Springer Netherlands
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