ABSTRACT Herein, the general constitutive equation of bi-phasic materials equipped with orientation tensor is presented in direct notation. The formulation is refined by some correction factors specific to natural fibre-reinforced composites; then, a planar case is derived. The necessity of local information is emphasised through the introduction of auxiliary maps, which included volume fraction and orientation data. A semi-analytical homogenisation method is introduced through finite element analysis. Auxiliary maps are shown to be a better alternative to the overall orientation of fibres. Global calculations are insensitive to local variations whilst appropriate auxiliary maps offer refined results. Considering the multidisciplinary application of orientation tensors, the proposed scheme can be used in all areas where local information cannot be disregarded.

中文翻译：

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一种分析纤维增强复合材料局部机械各向异性的元素方案

摘要 在此，以直接符号表示配备取向张量的双相材料的一般本构方程。该配方通过一些特定于天然纤维增强复合材料的校正因子进行了改进；然后，推导出平面案例。通过引入辅助地图，包括体积分数和方向数据，强调了局部信息的必要性。通过有限元分析引入了半解析均质化方法。辅助图被证明是纤维整体方向的更好替代方案。全局计算对局部变化不敏感，而适当的辅助地图可提供精确的结果。考虑到方向张量的多学科应用，