Elastic-plastic buckling of externally pressurized auxetic domes

IF 5.7 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures Pub Date : 2025-04-19 DOI:10.1016/j.tws.2025.113324

J. Błachut, M.D. White

{"title":"Elastic-plastic buckling of externally pressurized auxetic domes","authors":"J. Błachut, M.D. White","doi":"10.1016/j.tws.2025.113324","DOIUrl":null,"url":null,"abstract":"<div><div>The paper studies the effect of inclusion of auxetic layer(s), into the wall of externally pressurized torispherical shells, on buckling. Both the base and auxetic layers are assumed to be isotropic and undergo elastic-plastic behavior. In the first instance, load carrying capacities are computed for the Negative Poisson’s Ratio (NPR), within -0.9 and +0.3, and for various wall configurations including: (i) single auxetic layer, (ii) sandwich wall with the auxetic layer embedded between two metallic faces, and (iii) two layer wall with the metallic outer layer and auxetic inner layer. Substantial gains in magnitudes of buckling pressure are recorded depending on the wall construction. This heavily depends on the diameter-to-wall thickness (D/t)-ratio varying between 500 and 2000. Next, the influence of Young’s modulus of the auxetic layer on buckling strength was examined. For E<sub>auxetic</sub> equal to 10 % of E<sub>steel</sub>, in two layer head (0.25t-steel and 0.75t-auxetic), one is able to have the same load carrying capacity as if the head had 100 % metallic wall. Finally, structural optimization was employed to assess buckling strength on a like-for-like basis due to large variability in magnitude of buckling pressure. In one specific case, the ratio of the best to the worst buckling pressure, within the admissible design parameters, was found to be 4.8. Large gains in the magnitudes of buckling pressure were also recorded for other optimal configurations. Zero order search technique coupled with a reliable re-analysis tool was employed here.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"214 ","pages":"Article 113324"},"PeriodicalIF":5.7000,"publicationDate":"2025-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Thin-Walled Structures","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0263823125004173","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}

引用次数: 0

Abstract

The paper studies the effect of inclusion of auxetic layer(s), into the wall of externally pressurized torispherical shells, on buckling. Both the base and auxetic layers are assumed to be isotropic and undergo elastic-plastic behavior. In the first instance, load carrying capacities are computed for the Negative Poisson’s Ratio (NPR), within -0.9 and +0.3, and for various wall configurations including: (i) single auxetic layer, (ii) sandwich wall with the auxetic layer embedded between two metallic faces, and (iii) two layer wall with the metallic outer layer and auxetic inner layer. Substantial gains in magnitudes of buckling pressure are recorded depending on the wall construction. This heavily depends on the diameter-to-wall thickness (D/t)-ratio varying between 500 and 2000. Next, the influence of Young’s modulus of the auxetic layer on buckling strength was examined. For E_auxetic equal to 10 % of E_steel, in two layer head (0.25t-steel and 0.75t-auxetic), one is able to have the same load carrying capacity as if the head had 100 % metallic wall. Finally, structural optimization was employed to assess buckling strength on a like-for-like basis due to large variability in magnitude of buckling pressure. In one specific case, the ratio of the best to the worst buckling pressure, within the admissible design parameters, was found to be 4.8. Large gains in the magnitudes of buckling pressure were also recorded for other optimal configurations. Zero order search technique coupled with a reliable re-analysis tool was employed here.

查看原文本刊更多论文

外压辅助穹顶的弹塑性屈曲

本文研究了外压环球壳壁中夹杂增氧层对屈曲的影响。假设基层和辅层均为各向同性，并具有弹塑性特性。在第一个实例中，计算负泊松比（NPR）在-0.9和+0.3范围内的承载能力，以及各种墙体配置，包括：(i)单消声层，（ii）消声层嵌入两个金属面之间的夹层墙，以及（iii）金属外层和消声内层的两层墙。根据管壁结构的不同，屈曲压力的显著增加也会被记录下来。这在很大程度上取决于直径/壁厚（D/t）比，其变化范围在500到2000之间。其次，研究了失稳层杨氏模量对屈曲强度的影响。在两层封头（0.25t-钢和0.75t-auxetic）中，如果Eauxetic含量为10%，则可以具有与100%金属壁相同的承载能力。最后，由于屈曲压力的大小变化很大，因此采用结构优化方法在同类基础上评估屈曲强度。在一个特定情况下，在允许的设计参数范围内，最佳屈曲压力与最差屈曲压力之比为4.8。对于其他优化配置，也记录了屈曲压力的巨大增益。本文采用了零阶搜索技术和可靠的再分析工具。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.