An Energy-based Overset Finite Element Method for Pseudo-static Structural Analysis
An Energy-based Overset Finite Element Method for Pseudo-static Structural Analysis
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DOI：
10.1007/s10915-023-02113-9
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发表时间：
2023-03-01
影响因子：
2.5
通讯作者：
Morikawa，Hitoshi
中科院分区：
文献类型：
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作者：
Tomobe，Haruka;Sharma，Vikas;Morikawa，Hitoshi
基于区域合成法（DCM）提出了一种简单的基于能量的重叠有限元法（EbO-FEM），用于求解由重叠网格组成的拟静态变形问题。该方案是一种非迭代的基于方程的方法，用于加强位移场的连续性。因此，该计划消耗可能的最小计算成本的变形问题与非一致重叠网格。该系统的总能量增加了连续性约束能量（CCE），这是一个功能的两个重叠区域之间的位移场的差距。随后，两个传统的积分计划，高斯点投影，和点对点投影，被用来离散的CCE。结果表明，这两种格式在有限元网格的重叠区域都能得到精确而唯一的解。此外，我们提出了一个无量纲的相对惩罚参数（DRP）。我们发现，DRP范围在1到10之间是适当的，以鲁棒地获得精确的解决方案，为广泛的尺度，刚度和几何形状，这是由三个数值模拟支持，而不会增加计算成本后，组装的全球矩阵和向量。
This paper addresses a simple energy-based overset finite element method (EbO-FEM) to solve pseudo-static deformation problems consisting of overlapped meshes based on the domain composition method (DCM). This scheme is a non-iterative equation-based method for enforcing the continuity of the displacement field. Hence, the scheme consumes possible minimal computational costs for deformation problems with non-conforming overlapping meshes. The system’s total energy is augmented with continuity constraint energy (CCE) which is a function of the gaps in the displacement field between two overlapping regions. Subsequently, two conventional integration schemes, the Gauss-point projection, and the point-to-point projection, are utilized to discretize the CCE. It is confirmed that both schemes can yield accurate and unique solutions in the overlapped region of the finite element meshes. Further, we proposed a dimensionless relative penalty parameter (DRP). We found that DRP ranging between 1 to 10 is appropriate to robustly obtain accurate solutions for a wide range of scales, stiffness, and geometries, which is supported by three numerical simulations without increasing computational costs after assembling the global matrices and vectors.