日本機械学会論文集
Online ISSN : 2187-9761
ISSN-L : 2187-9761
計算力学
繊維束の接触・摩擦を考慮したドライファブリックのアイソジオメトリック均質化解析
西 紳之介寺田 賢二郎İlker TEMİZER
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2018 年 84 巻 859 号 p. 17-00554

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With a view to application to micro-macro decoupled multiscale simulations, a method of isogeometric homogenization analysis (IGHA) is proposed to characterize the in-plane macroscopic material behavior of dry woven fabrics in consideration of microscopic frictional-contact between fiber bundles. The microstructure of dry woven fabrics having periodicity only in in-plane directions, which is identified with the representative volume element to realize in-plane macroscopic deformations, is referred to as an in-plane unit cell in this study and is regarded as a virtual specimen in numerical plate testing (NPT). NURBS basis functions are utilized for discretization to accurately solve micro-scale frictional contact problems of fiber bundles and the knot-to-surface (KTS) and mortar-based KTS algorithms are employed to evaluate the contact- and friction-related variables. The initial state of an in-plane unit cells, which is supposed to be obtained by a weaving process, is determined as a solution of the bending problem of two fiber bundles contacting with each other and is in reality subjected to in-plane tension. Several numerical examples are presented to demonstrate the performance and capability of the proposed IGHA for conducting NPT of dry woven fabrics involving with microscale frictional-contact to characterize the geometrical-nonlinearity-induced material nonlinearity especially in response to macroscopic shear deformations.

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