A Universal Quadrilateral Shell Element for the Absolute Nodal Coordinate Formulation

IF 1.9 4区工程技术 Q3 ENGINEERING, MECHANICAL

Journal of Computational and Nonlinear Dynamics Pub Date : 2023-05-27 DOI:10.1115/1.4062630

Binghua Zhang, W. Fan, H. Ren

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引用次数: 2

Abstract

A simple quadrilateral shell element is proposed in this work to study large deformations and large rotations of membrane/plate/shell structures. There are three merit characters in this element: locking-free; immune to mesh distortions; and robust to surface tessellations. Numerical issues in plates/shell elements such as shear-locking and thickness-locking problems are resolved, and quadrilateral area coordinates are adopted to solve the mesh distortion issues. This element can be adopted to curved shell structures, and warped deformations can be well described. Moreover, even if a shell structure cannot be easily tessellated by high quality quadrilateral polygons, it can still be discretized by a mesh consisting of high-quality triangular and quadrilateral elements, then this element can work together with a corresponding triangular element to provide accurate results on this combined mesh, and the degree of freedom for the discretized system is no more than several times of the number of nodes. Numerical tests validate the effectiveness, efficiency and universality of this element in engineering scenarios.

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绝对节点坐标公式的通用四边形壳元

本文提出了一种简单的四边形壳单元，用于研究膜/板/壳结构的大变形和大旋转。这个元素有三个优点:无锁;不受网格变形影响;对表面镶嵌也很坚固。解决了板壳单元中的剪切锁紧和厚度锁紧等数值问题，采用四边形面积坐标解决了网格畸变问题。该单元可以应用于弯曲壳结构，可以很好地描述弯曲变形。此外，即使一个壳结构不能被高质量的四边形多边形轻易地镶嵌，它仍然可以被高质量的三角形和四边形单元组成的网格离散化，那么这个单元可以与相应的三角形单元一起工作，在这个组合网格上提供精确的结果，离散化系统的自由度不超过节点数的几倍。数值试验验证了该单元在工程场景中的有效性、高效性和通用性。

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

Journal of Computational and Nonlinear Dynamics 工程技术-工程：机械

CiteScore

4.00

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The purpose of the Journal of Computational and Nonlinear Dynamics is to provide a medium for rapid dissemination of original research results in theoretical as well as applied computational and nonlinear dynamics. The journal serves as a forum for the exchange of new ideas and applications in computational, rigid and flexible multi-body system dynamics and all aspects (analytical, numerical, and experimental) of dynamics associated with nonlinear systems. The broad scope of the journal encompasses all computational and nonlinear problems occurring in aeronautical, biological, electrical, mechanical, physical, and structural systems.