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Two-scale analysis of a filament-wound cylindrical structure and application of periodic boundary conditions

机译：纤维缠绕圆柱结构的两尺度分析和周期边界条件的应用

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摘要

A two-scale numerical approach to predict the effective in-plane properties of helical filament-wound thin-walled cylindrical tubes is provided. A meso-scale repeated unit cell (RUC) model for a filament-wound tube is established according to the manufacturing process, in which cross-overs, undulations and overlaps of fibre bundles are described using a bottom-up solid modelling technique. An approach to implement the general periodic boundary conditions in a finite element analysis scheme is also presented. As an application example, the effective in-plane elastic constants of glass fibre/epoxy filament-wound tubes are predicted and the influences of the number of the winding circuits and the shape of the fibre bundles are analyzed and discussed. In addition, the stress/strain distribution in the RUC is obtained which provides the essential information on the stress/strain concentration due to fibre cross-over/undulation/overlap. This then indicates the location where damage will initiate. (C) 2008 Elsevier Ltd. All rights reserved.
机译：提供了一种二维数值方法来预测螺旋丝缠绕薄壁圆柱管的有效面内特性。根据制造过程建立了细丝缠绕管的中尺度重复晶胞（RUC）模型，其中使用自下而上的实体建模技术描述了纤维束的交叉，起伏和重叠。还提出了一种在有限元分析方案中实现一般周期边界条件的方法。作为一个应用实例，预测了玻璃纤维/环氧树脂长丝缠绕管的有效面内弹性常数，并分析和讨论了绕线数和纤维束形状的影响。另外，获得了RUC中的应力/应变分布，其提供了关于由于纤维交叉/起伏/重叠引起的应力/应变浓度的基本信息。然后，这指示损坏将开始的位置。 （C）2008 Elsevier Ltd.保留所有权利。

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