A homogenization model for multiple buckling response of axially compressed cellular cylindrical shells

IF 5.7 1区工程技术 Q1 ENGINEERING, CIVIL Thin-Walled Structures Pub Date : 2024-11-07 DOI:10.1016/j.tws.2024.112637

Fangle Qi, Linghui He, Yong Ni

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Abstract

Pattern transformation in periodic cellular structures induces significant property changes under specific external stimuli, resulting in unusual mechanical behavior. This paper proposes an efficient homogenization method for predicting multiple buckling responses of cellular cylindrical shells composed of such pattern-transformation metamaterial. FEM simulations reveal four distinct buckling modes and three kinds of post-buckling processes, achieved through controlled adjustments in the ratio of cylindrical shell thickness to the radius and structural porosity. An efficient homogenization method with the local buckling in the cellular cylindrical shell modeled as an equivalent plasticity in the homogenized shell enables us to predict the critical buckling stress and the post-buckling morphology in good agreement with FEM simulations, analytical analysis, and experiments. The derived solution for the critical buckling load of the cellular cylindrical shells provides practical insights for designing and applying such cylindrical cellular structures.

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轴向压缩蜂窝圆柱壳多重屈曲响应的均质化模型

在特定的外部刺激下，周期性蜂窝结构中的图案变换会诱发显著的性质变化，从而导致不寻常的力学行为。本文提出了一种高效的均质化方法，用于预测由这种图案变换超材料组成的蜂窝圆柱壳的多重屈曲响应。有限元模拟揭示了四种不同的屈曲模式和三种屈曲后过程，这些都是通过控制调整圆柱壳厚度与半径之比以及结构孔隙率实现的。我们采用了一种高效的均质化方法，将蜂窝圆柱形外壳中的局部屈曲模拟为均质化外壳中的等效塑性，从而预测了临界屈曲应力和屈曲后形态，与有限元模拟、分析和实验结果十分吻合。推导出的蜂窝圆柱壳临界屈曲载荷解决方案为设计和应用此类圆柱蜂窝结构提供了实用见解。

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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.