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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Polyhedral elements with strain smoothing for coupling hexahedral meshes at arbitrary nonmatching interfaces
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Polyhedral elements with strain smoothing for coupling hexahedral meshes at arbitrary nonmatching interfaces

机译：具有应变平滑功能的多面体单元，用于在任意不匹配的界面处耦合六面体网格

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摘要

Managing nonmatching interfaces between dissimilar hexahedral meshes is complicated because the interfaces, which are arbitrarily formed by the intersection of element-edges, are composed of various types of polygons. In this paper, a simple and efficient scheme is proposed for dealing with nonmatching interfaces using polyhedral elements. Because polyhedral elements can have arbitrary numbers of polygonal faces and nodes, they can be used as transition elements for coupling nonmatching meshes. A strain smoothing technique in the cell-based smoothed finite element method is introduced to resolve critical difficulties in defining shape functions and in conducting numerical integration for the polyhedral elements, as well as to further enhance the accuracy and efficiency of finite element analyses. The effectiveness of the proposed scheme is demonstrated through several numerical examples involving nonmatching interfaces. The effects of decomposition types of smoothing cells in the strain smoothing technique are also discussed in terms of numerical stability and accuracy. (C) 2015 Elsevier B.V. All rights reserved.
机译：在不同的六面体网格之间管理不匹配的界面非常复杂，因为由元素边的交集任意形成的界面由各种类型的多边形组成。在本文中，提出了一种简单有效的方案来处理使用多面体元素的不匹配接口。由于多面体元素可以具有任意数量的多边形面和节点，因此它们可用作耦合不匹配网格的过渡元素。引入了基于单元的平滑有限元方法中的应变平滑技术，以解决定义形状函数和进行多面体单元数值积分时的关键难题，并进一步提高了有限元分析的准确性和效率。通过涉及不匹配接口的几个数值示例证明了该方案的有效性。还从数值稳定性和准确性的角度讨论了应变平滑技术中平滑单元分解类型的影响。 （C）2015 Elsevier B.V.保留所有权利。

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