A four-node inverse curved shell element coupling MITC method for deformation reconstruction of plate and shell structures

IF 5.7 1区工程技术 Q1 ENGINEERING, CIVIL Thin-Walled Structures Pub Date : 2024-10-23 DOI:10.1016/j.tws.2024.112598

Xiao Xiao, Shishun Zhang, Jianping Xuan, Tielin Shi

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Abstract

In the field of structural deformation monitoring, the inverse finite element method (iFEM) has significant engineering value as a structural health monitoring technique that provides timely and reliable warnings for shell structures. However, existing inverse finite elements are mainly based on first-order shear deformation theory and kirchhoff–love theory, which are not suitable for deformation reconstruction in plate and shell structures of arbitrary thickness. This study integrates iFEM with the Mixed Interpolation of Tensorial Components (MITC) method to develop a novel four-node quadrilateral inverse curved shell element, named iMICS(inverse Mixed Interpolation Curved Shell)4, aimed at enhancing the accuracy and efficiency of deformation reconstruction in complex plate and shell structures. The method uses the MITC4 shell element as the kinematic framework and applies the least squares variational principle to achieve deformation reconstruction, effectively alleviating shear and membrane locking issues across structures of varying thickness. Numerical examples validate the superior performance of the iMICS4 element, demonstrating its promising application prospects.

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用于板壳结构变形重建的四节点反向曲面壳元素耦合 MITC 方法

在结构变形监测领域，反有限元法（iFEM）作为一种结构健康监测技术，能为壳体结构提供及时可靠的预警，具有重要的工程价值。然而，现有的反有限元主要基于一阶剪切变形理论和基尔霍夫-洛夫理论，不适合任意厚度板壳结构的变形重建。为了提高复杂板壳结构变形重建的精度和效率，本研究将 iFEM 与张量成分混合插值（MITC）方法相结合，开发了一种新型的四节点四边形反弯壳元素，命名为 iMICS（inverse Mixed Interpolation Curved Shell）4。该方法使用 MITC4 壳体元素作为运动学框架，应用最小二乘变分原理实现变形重建，有效缓解了不同厚度结构的剪切和膜锁定问题。数值实例验证了 iMICS4 元素的卓越性能，展示了其广阔的应用前景。

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来源期刊

Thin-Walled Structures 工程技术-工程：土木

CiteScore

9.60

自引率

20.30%

发文量

801

审稿时长

66 days

期刊介绍： Thin-walled structures comprises an important and growing proportion of engineering construction with areas of application becoming increasingly diverse, ranging from aircraft, bridges, ships and oil rigs to storage vessels, industrial buildings and warehouses. Many factors, including cost and weight economy, new materials and processes and the growth of powerful methods of analysis have contributed to this growth, and led to the need for a journal which concentrates specifically on structures in which problems arise due to the thinness of the walls. This field includes cold– formed sections, plate and shell structures, reinforced plastics structures and aluminium structures, and is of importance in many branches of engineering. The primary criterion for consideration of papers in Thin–Walled Structures is that they must be concerned with thin–walled structures or the basic problems inherent in thin–walled structures. Provided this criterion is satisfied no restriction is placed on the type of construction, material or field of application. Papers on theory, experiment, design, etc., are published and it is expected that many papers will contain aspects of all three.