Evolutionary topology optimization using the extended finite element method and isolines
This study presents a new algorithm for structural topological optimization of two-dimensional continuum structures by combining the extended finite element method (X-FEM) with an evolutionary optimization algorithm. Taking advantage of an isoline design approach for boundary representation in a fix...
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| Format: | Article |
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Taylor & Francis
2014
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| Online Access: | https://eprints.nottingham.ac.uk/47202/ |
| _version_ | 1848797488570433536 |
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| author | Abdi, Meisam Wildman, Ricky Ashcroft, Ian |
| author_facet | Abdi, Meisam Wildman, Ricky Ashcroft, Ian |
| author_sort | Abdi, Meisam |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | This study presents a new algorithm for structural topological optimization of two-dimensional continuum structures by combining the extended finite element method (X-FEM) with an evolutionary optimization algorithm. Taking advantage of an isoline design approach for boundary representation in a fixed grid domain, X-FEM can be implemented to improve the accuracy of finite element solutions on the boundary during the optimization process. Although this approach does not use any remeshing or moving mesh algorithms, final topologies have smooth and clearly defined boundaries which need no further interpretation. Numerical comparisons of the converged solutions with standard bi-directional evolutionary structural optimization solutions show the efficiency of the proposed method, and comparison with the converged solutions using MSC NASTRAN confirms the high accuracy of this method. |
| first_indexed | 2025-11-14T20:04:41Z |
| format | Article |
| id | nottingham-47202 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:04:41Z |
| publishDate | 2014 |
| publisher | Taylor & Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-472022020-05-04T20:16:00Z https://eprints.nottingham.ac.uk/47202/ Evolutionary topology optimization using the extended finite element method and isolines Abdi, Meisam Wildman, Ricky Ashcroft, Ian This study presents a new algorithm for structural topological optimization of two-dimensional continuum structures by combining the extended finite element method (X-FEM) with an evolutionary optimization algorithm. Taking advantage of an isoline design approach for boundary representation in a fixed grid domain, X-FEM can be implemented to improve the accuracy of finite element solutions on the boundary during the optimization process. Although this approach does not use any remeshing or moving mesh algorithms, final topologies have smooth and clearly defined boundaries which need no further interpretation. Numerical comparisons of the converged solutions with standard bi-directional evolutionary structural optimization solutions show the efficiency of the proposed method, and comparison with the converged solutions using MSC NASTRAN confirms the high accuracy of this method. Taylor & Francis 2014 Article PeerReviewed Abdi, Meisam, Wildman, Ricky and Ashcroft, Ian (2014) Evolutionary topology optimization using the extended finite element method and isolines. Engineering Optimization, 46 (5). pp. 628-647. ISSN 1029-0273 structural optimization topology optimization X-FEM fixed grid evolutionary algorithm http://www.tandfonline.com/doi/abs/10.1080/0305215X.2013.791815 doi:10.1080/0305215X.2013.791815 doi:10.1080/0305215X.2013.791815 |
| spellingShingle | structural optimization topology optimization X-FEM fixed grid evolutionary algorithm Abdi, Meisam Wildman, Ricky Ashcroft, Ian Evolutionary topology optimization using the extended finite element method and isolines |
| title | Evolutionary topology optimization using the extended finite element method and isolines |
| title_full | Evolutionary topology optimization using the extended finite element method and isolines |
| title_fullStr | Evolutionary topology optimization using the extended finite element method and isolines |
| title_full_unstemmed | Evolutionary topology optimization using the extended finite element method and isolines |
| title_short | Evolutionary topology optimization using the extended finite element method and isolines |
| title_sort | evolutionary topology optimization using the extended finite element method and isolines |
| topic | structural optimization topology optimization X-FEM fixed grid evolutionary algorithm |
| url | https://eprints.nottingham.ac.uk/47202/ https://eprints.nottingham.ac.uk/47202/ https://eprints.nottingham.ac.uk/47202/ |