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Continuum mechanics-based shell elements with six degrees of freedom at each node − the MITC4 / D and MITC4+ / D elements
Computers & Structures ( IF 4.4 ) Pub Date : 2025-01-03 , DOI: 10.1016/j.compstruc.2024.107622
Yeongbin Ko, Klaus-Jürgen Bathe, Xinwei Zhang
Computers & Structures ( IF 4.4 ) Pub Date : 2025-01-03 , DOI: 10.1016/j.compstruc.2024.107622
Yeongbin Ko, Klaus-Jürgen Bathe, Xinwei Zhang
We give the formulation and numerical assessment for using six degrees of freedom at each node of 4-node continuum mechanics-based quadrilateral shell elements. The formerly published MITC4 and MITC4 + shell elements are considered and extended to now include the drilling rotational degrees of freedom at the nodes. Including these degrees of freedom enables the modeling of shells with beam elements and shell surfaces intersecting at large angles and in addition results in an improvement of the membrane behavior of the elements. The elements pass all basic tests, show alleviated locking behavior in the analysis of general curved geometries and show close to optimal convergence behaviors in the analysis of the “all-encompassing” shell test problems.
中文翻译:
基于连续体力学的壳单元,每个节点有六个自由度 - MITC4 / D 和 MITC4 + / D 单元
我们给出了在基于 4 节点连续体力学的四边壳单元的每个节点使用六个自由度的公式和数值评估。考虑并扩展了以前发布的 MITC4 和 MITC4 + 壳单元,现在包括节点处的钻孔旋转自由度。包含这些自由度可以对柱单元和壳体表面以大角度相交的壳进行建模,此外还可以改善单元的膜行为。这些单元通过了所有基本测试,在一般弯曲几何形状的分析中显示出减轻的锁定行为,并在分析“包罗万象”的壳测试问题时显示出接近最优的收敛行为。
更新日期:2025-01-03
中文翻译:
基于连续体力学的壳单元,每个节点有六个自由度 - MITC4 / D 和 MITC4 + / D 单元
我们给出了在基于 4 节点连续体力学的四边壳单元的每个节点使用六个自由度的公式和数值评估。考虑并扩展了以前发布的 MITC4 和 MITC4 + 壳单元,现在包括节点处的钻孔旋转自由度。包含这些自由度可以对柱单元和壳体表面以大角度相交的壳进行建模,此外还可以改善单元的膜行为。这些单元通过了所有基本测试,在一般弯曲几何形状的分析中显示出减轻的锁定行为,并在分析“包罗万象”的壳测试问题时显示出接近最优的收敛行为。