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A two-scale generalized finite element method for parallel simulations of spot welds in large structures

机译：大型结构点焊并行模拟的两尺度广义有限元方法

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摘要

The diameter of spot welds used in the automotive and aerospace industry is orders of magnitude smaller than the dimensions of the structural components. Automotive bodies typically have between three and five thousand spot welds which makes 3-D Direct Finite Element Analysis (DFEA) of this class problem not practical. To circumvent these limitations of the FEM, spot welds are idealized in industrial problems as elastic or rigid beams connecting nodes of the metal sheet meshes. However, parameters used in these spot weld models are often problem dependent. This paper presents a parallel Generalized Finite Element Method (GFEM) for the simulation of spot welds in large structures. The proposed GFEM can adopt structural-scale meshes that ignore the spot welds and thus can be generated much quicker than in a DFEA. The element size in the GFEM mesh is of the same order as those used in the industry for the class of problems considered here. Verification problems show that the proposed method can provide an accuracy comparable to a 3-D DFEA. Numerical experiments on a hat-stiffened panel with 168 spot welds show that the proposed GFEM scales much better than a DFEA on shared memory machines, in particular when nonlinear material behavior near the spot welds is considered. (C) 2018 Elsevier B.V. All rights reserved.
机译：汽车和航空航天工业中使用的点焊直径比结构部件的尺寸小几个数量级。汽车车身通常具有三千到五千个点焊，这使得此类问题的3-D直接有限元分析（DFEA）不切实际。为了克服FEM的这些限制，点焊在工业问题中被理想化为连接金属板网格节点的弹性或刚性梁。但是，这些点焊模型中使用的参数通常取决于问题。本文提出了一种并行的广义有限元方法（GFEM），用于模拟大型结构中的点焊。拟议的GFEM可以采用忽略点焊的结构尺度网格，因此生成速度比DFEA快得多。对于此处考虑的问题，GFEM网格中的单元大小与行业中使用的顺序相同。验证问题表明，所提出的方法可以提供与3-D DFEA相当的精度。在具有168个点焊的帽子加硬面板上的数值实验表明，在共享存储机器上，拟议的GFEM的缩放比例远优于DFEA，尤其是考虑到点焊附近的非线性材料行为时。 （C）2018 Elsevier B.V.保留所有权利。

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