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A consecutive-interpolation polyhedral finite element method for solid structures
International Journal for Numerical Methods in Engineering ( IF 2.9 ) Pub Date : 2021-06-21 , DOI: 10.1002/nme.6769
Hau Nguyen 1, 2 , Khanh Nguyen 3 , Khuong Nguyen 1 , Hung Nguyen 3 , Magd Abdel‐Wahab 4, 5
Affiliation  

In this paper, we investigate the use of a consecutive-interpolation for polyhedral finite element method (CIPFEM) in the analysis of three-dimensional solid mechanics problems. A displacement-based Galerkin weak form is used, in which the nodal degrees of freedom (DOF) and their derivatives are both considered for the approximation scheme. Based on arbitrary star-convex polyhedral elements using piecewise linear shape function, the present method can have the advantage of being applicable to complicated structures. Nevertheless, the proposed interpolation technique gives higher-order continuity, greater accuracy with the same number of DOFs. The reliability and efficiency of the CIPFEM are proved by comparing the present results with those obtained by the consecutive-interpolation for tetrahedral element (CT4), conventional linear FEM using polyhedral elements (PFEM), and tetrahedral elements (T4) through numerical examples. Cantilever beam, concrete corbel, and complex hollow concrete revetment block are considered to show the excellent performance of the present approach.

中文翻译:

实体结构的连续插值多面体有限元方法

在本文中,我们研究了连续插值多面体有限元方法 (CIPFEM) 在三维固体力学问题分析中的应用。使用基于位移的伽辽金弱形式,其中节点自由度 (DOF) 及其导数都被考虑用于近似方案。基于使用分段线性形状函数的任意星凸多面体单元,本方法具有适用于复杂结构的优点。尽管如此,所提出的插值技术在相同数量的自由度下提供了更高阶的连续性和更高的精度。通过将当前结果与通过四面体单元(CT4)连续插值获得的结果进行比较,证明了 CIPFEM 的可靠性和效率,使用多面体单元 (PFEM) 和四面体单元 (T4) 的传统线性 FEM 通过数值示例。悬臂梁、混凝土牛腿和复杂的空心混凝土护岸块被认为显示了本方法的优良性能。
更新日期:2021-06-21
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