Selective element domain interpolation technique for assumed rotations and shear strains in polygonal finite element thick/thin plate analysis

IF 5.7 1区工程技术 Q1 ENGINEERING, CIVIL Thin-Walled Structures Pub Date : 2023-05-01 DOI:10.1016/j.tws.2023.110677

Son H. Nguyen , Duc-Huynh Phan

引用次数: 0

Abstract

This paper proposes a novel selective element domain interpolation technique, named SI-ARS-Poly, to develop a high-performance spatially isotropic polygonal element for thick/thin plate analysis. In the SI-ARS-Poly approach, nodal assumed rotations on the element boundaries are directly computed at the mid-nodes of element edges by linearly approximating based on the first-order one-dimensional shape functions. Then, a selective interpolation scheme is applied to approximate the nodal assumed rotations and shear strains on element boundaries into the element domain using piecewise-linear-based first- and second-order shape functions. The proposed method passes spatially isotropic, zero-energy mode, and bending path tests, and exhibits a high performance with uniform and excellent convergent rates compared to existing methods.

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多边形厚/薄板有限元分析中假定旋转和剪切应变的选择单元域插值技术

本文提出了一种新的选择性元域插值技术，即SI-ARS-Poly，以开发高性能的空间各向同性多边形厚/薄板分析单元。在SI-ARS-Poly方法中，通过基于一阶一维形状函数的线性逼近，直接在元素边缘的中间节点上计算元素边界上的节点假设旋转。然后，采用基于分段线性的一阶和二阶形状函数，将单元边界上的节点假设旋转和剪切应变近似到单元域。该方法通过了空间各向同性、零能量模式和弯曲路径测试，与现有方法相比，具有均匀和优异的收敛速度。

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

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.