Trigonometric shear deformation theories for geometric nonlinear analysis of curved composite laminated shells: Post-buckling prediction using a parallelized approach

IF 5.7 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures Pub Date : 2025-05-09 DOI:10.1016/j.tws.2025.113379

Pedro Bührer Santana , A.J.M. Ferreira , Herbert Martins Gomes , Volnei Tita

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Abstract

This paper introduces a set of trigonometric shear deformation theories for the nonlinear geometric analysis of generally curved laminated composite shells with focus on post-buckling prediction. The suggested framework uses a degenerated shell element associated to trigonometric expansion and a generalized displacement control method to get a stable, accurate, and computationally efficient solution. One important benefit of adopting a higher-order shear theory is getting better stress fields without using correction factors, in addition to the solution stability in geometric nonlinear analysis, although at the cost of a moderate increase in the number of degrees of freedom (DOF) per node. The theory is implemented in MATLAB using an improved object-oriented programming and parallel processing approach to assemble the stiffness matrices, enhancing the efficiency of the analysis. Comparisons with published data for moderately thick and curved shells and composite laminated plates corroborate the suggested theory’s accuracy and efficacy. The findings reveal that trigonometric shear deformation theories overcome the limits of first-order shear deformation theories and other expansions, producing accurate results with just a minor increase in computational complexity.

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弯曲复合材料层合壳几何非线性分析的三角剪切变形理论：使用平行化方法的后屈曲预测

本文介绍了一套用于一般弯曲层合复合材料壳体非线性几何分析的三角剪切变形理论，重点研究了后屈曲预测。该框架采用退化壳元与三角展开相结合的方法和广义位移控制方法，以获得稳定、准确和计算效率高的解。采用高阶剪切理论的一个重要好处是，除了几何非线性分析中的解稳定性之外，还可以在不使用校正因子的情况下获得更好的应力场，尽管代价是每个节点的自由度（DOF）的数量适度增加。该理论在MATLAB中实现，采用改进的面向对象编程和并行处理方法对刚度矩阵进行组合，提高了分析效率。与已发表的中等厚度和弯曲壳和复合层压板的数据进行比较，证实了所建议理论的准确性和有效性。研究结果表明，三角剪切变形理论克服了一阶剪切变形理论和其他扩展的局限性，产生了精确的结果，而计算复杂性只增加了一点点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.