基于离散剪切投影法的无锁紧多边形板单元

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

Computers & Structures Pub Date : 2025-02-11 DOI:10.1016/j.compstruc.2025.107661

G. Akhila , Sundararajan Natarajan , Haojie Lian , Irwan Katili

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引用次数: 0

摘要

根据Reissner-Mindlin板理论，提出了一种新型的薄板/厚板剪切锁紧自由任意多边形单元。采用剪切投影法缓解了剪切锁紧问题。为了做到这一点，在元素的每个边缘上，引入临时变量，这有助于用二次函数近似旋转。然后利用正交性条件将其写成节点未知数的形式。通过一些标准的贴片测试和基准示例，证明了所提出的元件对薄/厚板产生准确的结果，并且在适当的规范中具有最佳收敛速率。

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Locking-free polygonal plate element based on the discrete shear projection method

A novel shear locking free arbitrary polygonal element is proposed for thin/thick plates modelled by Reissner-Mindlin plate theory. The shear locking problem is alleviated by adopting a shear projection method. To do this, on each edge of the element, temporary variables are introduced, which facilitates approximating the rotations with a quadratic function. These are then written in terms of the nodal unknowns by employing the orthogonality condition. With a few standard patch tests and benchmark examples, it is demonstrated that the proposed element yields accurate results for thin/thick plates and an optimal convergence rate that is in the appropriate norm.

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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.