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An open-source ABAQUS implementation of the scaled boundary finite element method to study interfacial problems using polyhedral meshes
Computer Methods in Applied Mechanics and Engineering ( IF 7.2 ) Pub Date : 2021-04-09 , DOI: 10.1016/j.cma.2021.113766
Shukai Ya , Sascha Eisenträger , Chongmin Song , Jianbo Li

The scaled boundary finite element method (SBFEM) is capable of generating polyhedral elements with an arbitrary number of surfaces. This salient feature significantly alleviates the meshing burden being a bottleneck in the analysis pipeline in the standard finite element method (FEM). In this paper, we implement polyhedral elements based on the SBFEM into the commercial finite element software ABAQUS. To this end, user elements are provided through the user subroutine UEL. Detailed explanations regarding the data structures and implementational aspects of the procedures are given. The focus of the current implementation is on interfacial problems and therefore, element-based surfaces are created on polyhedral user elements to establish interactions. This is achieved by an overlay of standard finite elements with negligible stiffness, provided in the ABAQUS element library, with polyhedral user elements. By means of several numerical examples, the advantages of polyhedral elements regarding the treatment of non-matching interfaces and automatic mesh generation are clearly demonstrated. Thus, the performance of ABAQUS for problems involving interfaces is augmented based on the availability of polyhedral meshes. Due to the implementation of polyhedral user elements, ABAQUS can directly handle complex geometries given in the form of digital images or stereolithography (STL) files. In order to facilitate the use of the proposed approach, the code of the UEL is published open-source and can be downloaded from https://github.com/ShukaiYa/SBFEM-UEL.



中文翻译:

比例边界有限元方法的开源ABAQUS实现,用于使用多面体网格研究界面问题

比例边界有限元法(SBFEM)能够生成具有任意数量表面的多面体元素。该显着特征大大减轻了网格划分负担,而网格划分负担是标准有限元方法(FEM)中分析管道中的瓶颈。在本文中,我们将基于SBFEM的多面体单元实现到商业有限元软件ABAQUS中。为此,通过用户子例程UEL提供了用户元素。给出了有关程序的数据结构和实现方面的详细说明。当前实现的重点是界面问题,因此,在多面体用户元素上创建基于元素的表面以建立交互。这是通过在ABAQUS元素库中提供的,具有可忽略的刚度的标准有限元的叠加来实现的,与多面体用户元素。通过几个数值示例,多面体元素在处理不匹配界面和自动处理方面的优势网格生成已清楚显示。因此,基于多面体网格的可用性,ABAQUS对涉及界面的问题的性能得以增强。由于多面体用户元素的实现,ABAQUS可以直接处理以数字图像或立体光刻(STL)文件形式给出的复杂几何形状。为了促进所提出方法的使用,UEL的代码是公开发布的,可以从https://github.com/ShukaiYa/SBFEM-UEL下载

更新日期:2021-04-09
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