Higher-Order Hexahedral Finite Elements for Structural Dynamics: A Comparative Review
The finite element method (FEM) is widely used in many engineering applications. The popularity of FEM led to the development of several variants of formulations, and hexahedral meshes surged as one of the most computationally effective. After briefly reviewing the reasons and advantages behind the...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Machines |
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| Online Access: | https://www.mdpi.com/2075-1702/11/3/326 |
| _version_ | 1797610586847051776 |
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| author | Anna Karpik Francesco Cosco Domenico Mundo |
| author_facet | Anna Karpik Francesco Cosco Domenico Mundo |
| author_sort | Anna Karpik |
| collection | DOAJ |
| description | The finite element method (FEM) is widely used in many engineering applications. The popularity of FEM led to the development of several variants of formulations, and hexahedral meshes surged as one of the most computationally effective. After briefly reviewing the reasons and advantages behind the formulation of increasing order elements, including the serendipity variants and the associated reduced integration schemes, a systematic comparison of the most common hexahedral formulations is presented. A numerical benchmark was used to assess convergency rates and computational efficiencies when solving the eigenvalue problem for linear dynamic analysis. The obtained results confirmed the superior performances of the higher-order brick element formulations. In terms of computational efficiency, defined as the ratio between achievable accuracy and computational execution time, quadratic or cubic formulations exhibited the best results for the stages of FE model assembly and solution computation, respectively. |
| first_indexed | 2024-03-11T06:16:18Z |
| format | Article |
| id | doaj.art-6df14245e79a4aa99c1b9203f85d5c00 |
| institution | Directory Open Access Journal |
| issn | 2075-1702 |
| language | English |
| last_indexed | 2024-03-11T06:16:18Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Machines |
| spelling | doaj.art-6df14245e79a4aa99c1b9203f85d5c002023-11-17T12:14:57ZengMDPI AGMachines2075-17022023-02-0111332610.3390/machines11030326Higher-Order Hexahedral Finite Elements for Structural Dynamics: A Comparative ReviewAnna Karpik0Francesco Cosco1Domenico Mundo2Department of Mechanical, Energy and Management Engineering (DIMEG), University of Calabria, Cubo 45C, 87036 Rende, ItalyDepartment of Mechanical, Energy and Management Engineering (DIMEG), University of Calabria, Cubo 45C, 87036 Rende, ItalyDepartment of Mechanical, Energy and Management Engineering (DIMEG), University of Calabria, Cubo 45C, 87036 Rende, ItalyThe finite element method (FEM) is widely used in many engineering applications. The popularity of FEM led to the development of several variants of formulations, and hexahedral meshes surged as one of the most computationally effective. After briefly reviewing the reasons and advantages behind the formulation of increasing order elements, including the serendipity variants and the associated reduced integration schemes, a systematic comparison of the most common hexahedral formulations is presented. A numerical benchmark was used to assess convergency rates and computational efficiencies when solving the eigenvalue problem for linear dynamic analysis. The obtained results confirmed the superior performances of the higher-order brick element formulations. In terms of computational efficiency, defined as the ratio between achievable accuracy and computational execution time, quadratic or cubic formulations exhibited the best results for the stages of FE model assembly and solution computation, respectively.https://www.mdpi.com/2075-1702/11/3/326finite element methodhexahedral meshhigher-order elementsconvergence analysisaccuracyefficiency |
| spellingShingle | Anna Karpik Francesco Cosco Domenico Mundo Higher-Order Hexahedral Finite Elements for Structural Dynamics: A Comparative Review Machines finite element method hexahedral mesh higher-order elements convergence analysis accuracy efficiency |
| title | Higher-Order Hexahedral Finite Elements for Structural Dynamics: A Comparative Review |
| title_full | Higher-Order Hexahedral Finite Elements for Structural Dynamics: A Comparative Review |
| title_fullStr | Higher-Order Hexahedral Finite Elements for Structural Dynamics: A Comparative Review |
| title_full_unstemmed | Higher-Order Hexahedral Finite Elements for Structural Dynamics: A Comparative Review |
| title_short | Higher-Order Hexahedral Finite Elements for Structural Dynamics: A Comparative Review |
| title_sort | higher order hexahedral finite elements for structural dynamics a comparative review |
| topic | finite element method hexahedral mesh higher-order elements convergence analysis accuracy efficiency |
| url | https://www.mdpi.com/2075-1702/11/3/326 |
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