This paper investigates the application of immersed methods to simplify the discretisation and modelling process for meso-scale geometries in fibre-reinforced composites. The geometry of meso-scale structures in fibre-reinforced composites can often be categorised as complex, and frequently presents considerable challenges for meshing software. This complexity necessitates either time-consuming manual intervention or the adoption of simplified discretisation approaches, such as voxel methods, which may compromise accuracy. To address this issue, we study the use of immersed boundary methods, in combination with B-splines, for the discretisation of the matrix regions of the meso-scale geometry. This combination has the potential to minimise the requirement for manual intervention in the discretisation processes with little effect to the accuracy of e.g. stresses. We validate the proposed modelling framework in three numerical examples, where homogenised stiffnesses and stress levels are analysed in various fibre composite architectures.

中文翻译：

---

使用浸没边界法对复杂纤维复合材料几何形状进行细观建模


本文研究了浸没法的应用，以简化纤维增强复合材料中中尺度几何形状的离散化和建模过程。纤维增强复合材料中细观结构的几何形状通常可以归类为复杂结构，并且经常给网格划分软件带来相当大的挑战。这种复杂性需要耗时的手动干预或采用简化的离散化方法，例如体素方法，这可能会降低准确性。为了解决这个问题，我们研究了使用浸没边界法与 B 样条法相结合，以离散化介尺度几何结构的矩阵区域。这种组合有可能最大限度地减少离散化过程中的人工干预需求，而对应力等精度的影响很小。我们在三个数值示例中验证了所提出的建模框架，其中分析了各种纤维复合材料架构中的均质刚度和应力水平。