An improved incompatible DSQ element using free formulation approach

IF 2.2 4区 工程技术 Q2 ENGINEERING, CIVIL Structural Engineering and Mechanics Pub Date : 2021-01-01 DOI:10.12989/SEM.2021.78.6.665
I. Katili
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引用次数: 2

Abstract

This study proposes DSTK, a new incompatible triangular element formulated from a combination of discrete shear constraints, independent transverse shear strains and a free formulation approach. DSTK takes into account transverse shear effects and is valid for thin and thick plates. Furthermore, this element has 3 nodes and 3 DOFs per node (transverse displacement w and rotations Bx and By). The couple between lower order and higher order bending energy is assumed to be zero to fulfil the constant bending patch test. Unifying and integrating kinematic relationship, constitutive law, and equilibrium equations contribute to the independent transverse shear strain expression, which comprises merely the second derivatives of the rotations. The study performs validation based on individual element tests, patch tests, and convergence tests. This study shows that the DSTK element yields good results of various classical benchmark tests for thin to thick plates.
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用自由公式法改进了不相容DSQ元
本文提出了一种新的不相容三角形单元DSTK,该单元由离散剪切约束、独立横向剪切应变和自由公式方法组合而成。DSTK考虑了横向剪切效应,适用于薄板和厚板。此外,该元素有3个节点,每个节点有3个自由度(横向位移w和旋转Bx和By)。假设低阶和高阶弯曲能之间的耦合为零,以满足恒定弯曲贴片试验。统一和整合运动关系、本构律和平衡方程有助于形成独立的横向剪切应变表达式,该表达式仅包含旋转的二阶导数。该研究基于单个元素测试、补丁测试和收敛测试进行验证。研究表明,DSTK单元在薄板到厚板的各种经典基准试验中取得了较好的结果。
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来源期刊
Structural Engineering and Mechanics
Structural Engineering and Mechanics 工程技术-工程:机械
CiteScore
3.80
自引率
18.20%
发文量
0
审稿时长
11 months
期刊介绍: The STRUCTURAL ENGINEERING AND MECHANICS, An International Journal, aims at: providing a major publication channel for structural engineering, wider distribution at more affordable subscription rates; faster reviewing and publication for manuscripts submitted; and a broad scope for wider participation. The main subject of the Journal is structural engineering concerned with aspects of mechanics. Areas covered by the Journal include: - Structural Mechanics - Design of Civil, Building and Mechanical Structures - Structural Optimization and Controls - Structural Safety and Reliability - New Structural Materials and Applications - Effects of Wind, Earthquake and Wave Loadings on Structures - Fluid-Structure and Soil-Structure Interactions - AI Application and Expert Systems in Structural Engineering. Submission of papers from practicing engineers is particularly encouraged.
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