{"title":"An improved incompatible DSQ element using free formulation approach","authors":"I. Katili","doi":"10.12989/SEM.2021.78.6.665","DOIUrl":null,"url":null,"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.","PeriodicalId":51181,"journal":{"name":"Structural Engineering and Mechanics","volume":null,"pages":null},"PeriodicalIF":2.2000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Structural Engineering and Mechanics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.12989/SEM.2021.78.6.665","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}
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.
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.