编织材料微观性能的有限元法
A finite element approach of the behaviour of woven materials at microscopic scale
摘要：
本文提出了一种在单纤维尺度上模拟机织纺织材料力学性能的有限元方法。模拟的目的是理解和识别在不同尺度上涉及这种材料的现象。该方法将编织纺织材料的小块织物视为纤维的集合。纤维由三维梁单元建模，并考虑它们之间的接触摩擦相互作用。一种用于检测接触的原始方法，以及使用有效的算法来解决问题的非线性，允许处理由数百根纤维制成的补丁。通过模拟织造过程，实现了对织造结构未知初始构形的计算。然后可以将各种载荷情况应用于所研究的贴片以识别其力学特性。为了接近纱线的介观行为，作为后处理，在纱线的尺度上计算3D应变。这些菌株显示出很强的不均匀性，这就提出了在纱线尺度上使用连续模型的问题。
英文摘要：
A finite element simulation of the mechanical behaviour of woven textile materials at the scale of individual fibers is proposed in this paper. The aim of the simulation is to understand and identify phenomena involved at different scales in such materials. The approach considers small patches of woven textile materials as collections of fibers. Fibers are modelled by 3D beam elements, and contact-friction interactions are considered between them. An original method for the detection of contacts, and the use of efficient algorithms to solve the nonlinearities of the problem, allow to handle patches made of few hundreds of fibers. The computation of the unknown initial configuration of the woven structure is carried out by simulating the weaving process. Various loading cases can then be applied to the studied patches to identify their mechanical characteristics. To approach the mesoscopic behaviour of yarns, 3D strains are calculated at the scale of yarns, as post-processing. These strains display strong inhomogeinities, which raises the question of using continuous models at the scale of yarns.
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