Discrete modeling of fiber reinforced composites using the scaled boundary finite element method
Discrete modeling of fiber reinforced composites using the scaled boundary finite element method
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DOI：
10.1016/j.compstruct.2019.111744
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发表时间：
2020-03-01
影响因子：
6.3
通讯作者：
Song, C.
中科院分区：
文献类型：
--
作者：
Zhang, J.;Eisentrager, J.;Song, C.
提出了一种基于比例边界有限元法（SBFEM）的纤维增强复合材料离散建模的数值方法。这种方法的一个独特的特点是，网格的矩阵，聚集体，在一般体积实体可以产生独立的纤维被视为桁架元素。为此，开发了一种新的嵌入方法，该方法将由缩放边界多面体组成的矩阵的网格连接到纤维。这种方法确保实现一致的基质和纤维网格。然后使用节点连接数据简单地叠加两个部件的计算刚度矩阵。由于体元可以在任意位置被纤维包围，因此能够生成多面体元是至关重要的，这是所选SBFEM实现的一个独特功能。该过程的优点在于，耦合不需要接口约束或特殊元件。此外，在数值分析中可以考虑随机纤维分布。在这方面的贡献，一个完美的结合之间的矩阵和纤维被假定。通过几个数值例子，所提出的方法的通用性和鲁棒性进行了证明。
A numerical method for the discrete modeling of fiber reinforced composites based on the scaled boundary finite element method (SBFEM) is proposed. A unique feature of this method is that the meshes of the matrix, aggregates, in general volumetric entities can be generated independently of the fibers which are treated as truss elements. To this end, a novel embedding method is developed which connects the mesh of the matrix consisting of scaled boundary polytopes to the fibers. This approach ensures that conforming matrix and fiber meshes are achieved. The computed stiffness matrices for both components are then simply superimposed using the nodal connectivity data. Since volume elements can be intersected by fibers at arbitrary locations, it is of paramount importance to be able to generate polytopal elements which is one unique feature of the chosen SBFEM implementation. An advantage of this procedure is that no interface constraints or special elements are required for the coupling. Furthermore, it is possible to account for random fiber distributions in the numerical analysis. In this contribution, a perfect bonding between the matrix and fibers is assumed. By means of several numerical examples, the versatility and robustness of the proposed method are demonstrated.