New nonlinear thermomechanical buckling solutions of spherical caps and annular spherical shells

IF 3.8 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures Pub Date : 2025-10-02 DOI:10.1016/j.ijsolstr.2025.113690

Jie Xu, Li Liang, Zixuan Wang, Yiming Chen, Zhuofan Ni, Rui Li

{"title":"New nonlinear thermomechanical buckling solutions of spherical caps and annular spherical shells","authors":"Jie Xu, Li Liang, Zixuan Wang, Yiming Chen, Zhuofan Ni, Rui Li","doi":"10.1016/j.ijsolstr.2025.113690","DOIUrl":null,"url":null,"abstract":"<div><div>New thermomechanical buckling solutions of spherical caps and annular spherical shells accounting for the pre-buckling nonlinearity, which is important but was generally neglected in previous studies, are presented in this study. The nonlinearity in the buckling equation of a spherical shell is separated into the pre-buckling equations using the parameter perturbation. Subsequently, the quasilinearization method and the partitioned solution scheme is employed, wherein a series of variable-coefficient matrix equations are solved to rapidly obtain the nonlinear solution. The matrix exponential computation involved is tackled using the precise integration method, leading to the derivation of the state transition equation. A global matrix equation is then formulated incorporating the boundary conditions, from which the buckling eigenvalues are determined. The convergence study and benchmark buckling solutions are presented. In addition, the impacts of temperature change, pre-buckling nonlinearity, shell thickness, and BCs on the buckling behavior are quantitatively investigated through comprehensive numerical and graphic results.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"324 ","pages":"Article 113690"},"PeriodicalIF":3.8000,"publicationDate":"2025-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Solids and Structures","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020768325004767","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MECHANICS","Score":null,"Total":0}

引用次数: 0

Abstract

New thermomechanical buckling solutions of spherical caps and annular spherical shells accounting for the pre-buckling nonlinearity, which is important but was generally neglected in previous studies, are presented in this study. The nonlinearity in the buckling equation of a spherical shell is separated into the pre-buckling equations using the parameter perturbation. Subsequently, the quasilinearization method and the partitioned solution scheme is employed, wherein a series of variable-coefficient matrix equations are solved to rapidly obtain the nonlinear solution. The matrix exponential computation involved is tackled using the precise integration method, leading to the derivation of the state transition equation. A global matrix equation is then formulated incorporating the boundary conditions, from which the buckling eigenvalues are determined. The convergence study and benchmark buckling solutions are presented. In addition, the impacts of temperature change, pre-buckling nonlinearity, shell thickness, and BCs on the buckling behavior are quantitatively investigated through comprehensive numerical and graphic results.

查看原文本刊更多论文

球形帽和环形球壳非线性热力学屈曲新解

本文提出了考虑前屈曲非线性的球形帽和环形球壳的新的热力学屈曲解，这在以往的研究中是很重要的，但通常被忽视。利用参数摄动将球壳屈曲方程中的非线性分解为预屈曲方程。随后，采用拟线性化方法和分块解法，对一系列变系数矩阵方程进行求解，快速得到非线性解。采用精确积分法求解矩阵指数计算，推导出状态转移方程。然后建立了包含边界条件的全局矩阵方程，由此确定了屈曲特征值。给出了收敛性研究和基准屈曲解。此外，通过综合数值和图形结果，定量研究了温度变化、预屈曲非线性、壳体厚度和bc对屈曲行为的影响。

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

International Journal of Solids and Structures 物理-力学

CiteScore

6.70

自引率

8.30%

发文量

405

审稿时长

70 days

期刊介绍： The International Journal of Solids and Structures has as its objective the publication and dissemination of original research in Mechanics of Solids and Structures as a field of Applied Science and Engineering. It fosters thus the exchange of ideas among workers in different parts of the world and also among workers who emphasize different aspects of the foundations and applications of the field. Standing as it does at the cross-roads of Materials Science, Life Sciences, Mathematics, Physics and Engineering Design, the Mechanics of Solids and Structures is experiencing considerable growth as a result of recent technological advances. The Journal, by providing an international medium of communication, is encouraging this growth and is encompassing all aspects of the field from the more classical problems of structural analysis to mechanics of solids continually interacting with other media and including fracture, flow, wave propagation, heat transfer, thermal effects in solids, optimum design methods, model analysis, structural topology and numerical techniques. Interest extends to both inorganic and organic solids and structures.