板弯曲分析中混合特雷弗茨应力元素收敛性的稳定和改进

IF 4.4 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures Pub Date : 2024-09-23 DOI:10.1016/j.compstruc.2024.107519

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引用次数: 0

摘要

扩展了通常用于板弯曲混合特雷弗茨应力元素的多项式边界基础，使其收敛速度对板的剪切弯曲刚度比不敏感。此外，还扩展了边界基础，以提高元素在模拟边界层效应和楔形效应引起的奇异应力场时的精度。我们选择了一些数值测试问题来说明和验证所提出的扩展对稳定和改进有限元求解的影响。模拟 Mindlin-Reissner 板中边界层效应的解法用于恢复基尔霍夫板弯曲模型的等效剪力和角力概念。

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Stabilization and improvement of the convergence of hybrid-Trefftz stress elements for plate bending analysis

The polynomial boundary basis usually applied in the implementation of hybrid-Trefftz stress elements for plate bending is extended to render its rate of convergence insensitive to the shear-to-bending stiffness ratio of the plate. The boundary basis is also extended to improve the accuracy of the element in the modelling of boundary layer effects and of singular stress fields caused by wedge effects. Numerical testing problems are selected to illustrate and validate the effect of the proposed extensions on the stabilization and improvement of finite element solutions. The solutions modelling boundary layer effects in Mindlin-Reissner plates are used to recover the equivalent shear and corner force concepts of the Kirchhoff plate bending model.

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来源期刊

Computers & Structures 工程技术-工程：土木

CiteScore

8.80

自引率

6.40%

发文量

122

审稿时长

33 days

期刊介绍： Computers & Structures publishes advances in the development and use of computational methods for the solution of problems in engineering and the sciences. The range of appropriate contributions is wide, and includes papers on establishing appropriate mathematical models and their numerical solution in all areas of mechanics. The journal also includes articles that present a substantial review of a field in the topics of the journal.