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Evolutionary topology optimization using the extended finite element method and isolines

Abdi, Meisam; Wildman, Ricky; Ashcroft, Ian

Authors

Meisam Abdi

Ricky Wildman

Ian Ashcroft



Abstract

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.

Journal Article Type Article
Publication Date Jan 1, 2014
Journal Engineering Optimization
Print ISSN 0305-215X
Electronic ISSN 1029-0273
Publisher Taylor & Francis
Peer Reviewed Peer Reviewed
Volume 46
Issue 5
APA6 Citation Abdi, M., Wildman, R., & Ashcroft, I. (2014). Evolutionary topology optimization using the extended finite element method and isolines. Engineering Optimization, 46(5), doi:10.1080/0305215X.2013.791815
DOI https://doi.org/10.1080/0305215X.2013.791815
Keywords structural optimization, topology optimization, X-FEM, fixed grid, evolutionary algorithm
Publisher URL http://www.tandfonline.com/doi/abs/10.1080/0305215X.2013.791815
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information This is an Accepted Manuscript of an article published by Taylor & Francis in Engineering Optimization on 13 March 2013, available online: http://www.tandfonline....80/0305215X.2013.791815

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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