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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Development of three-dimensional interface elements for coupling of non-matching hexahedral meshes
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Development of three-dimensional interface elements for coupling of non-matching hexahedral meshes

机译：三维界面元的发展，用于非匹配六面体网格的耦合

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Gluing of a non-matching interface between dissimilar meshes is one of challenging tasks in computational mechanics. The interface element method (IEM) has been developed using an appropriate interpolation scheme between partitioned finite element meshes. The continuity of displacements across the interface is satisfied exactly, and the completeness of interface element shape functions provides a reasonable transfer of strain fields between dissimilar finite element meshes. Research related to the IEM has been mainly accomplished in two-dimensions, because the construction of interface elements in three dimensions is not as simple as the case of two-dimensions. In this paper, a new scheme is presented to construct the interface elements for connecting dissimilar hexahedral finite element meshes with an arbitrarily curved non-matching interface. Element edges crossing any other edges in an interface region are modified into continuous intersection polygons to eliminate overlays and gaps between dissimilar meshes, and these polygons are divided into triangles to create prism-shaped interface elements. Numerical experiments on a linear elasticity problem with non-matching meshes illustrate the effectiveness of the method.
机译：胶合不同网格之间的不匹配界面是计算力学中的一项艰巨任务。接口元素方法（IEM）已使用分区有限元网格之间的适当插值方案开发。精确地满足了跨界面位移的连续性，并且界面单元形状函数的完整性为不同的有限元网格之间的应变场提供了合理的传递。与IEM有关的研究主要是在二维上完成的，因为在三个维度上构造界面元素并不像在二维情况下那么简单。在本文中，提出了一种新的方案来构造用于将异种六面体有限元网格与任意弯曲的不匹配界面相连接的界面元素。将与界面区域中任何其他边缘相交的元素边缘修改为连续的相交多边形，以消除异种网格之间的重叠和间隙，并将这些多边形划分为三角形以创建棱柱形的界面元素。对具有不匹配网格的线性弹性问题的数值实验说明了该方法的有效性。

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