Topology optimization of geometrically nonlinear structures using an evolutionary optimization method
Iso-XFEM method is an evolutionary optimization method developed in our previous studies to enable the generation of high resolution topology optimised designs suitable for additive manufacture. Conventional approaches for topology optimization require additional post-processing after optimization t...
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| Format: | Article |
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Taylor & Francis
2018
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| Online Access: | https://eprints.nottingham.ac.uk/48973/ |
| _version_ | 1848797892315185152 |
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| author | Abdi, Meisam Ashcroft, Ian Wildman, Ricky |
| author_facet | Abdi, Meisam Ashcroft, Ian Wildman, Ricky |
| author_sort | Abdi, Meisam |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | Iso-XFEM method is an evolutionary optimization method developed in our previous studies to enable the generation of high resolution topology optimised designs suitable for additive manufacture. Conventional approaches for topology optimization require additional post-processing after optimization to generate a manufacturable topology with clearly defined smooth boundaries. Iso-XFEM aims to eliminate this time-consuming post-processing stage by defining the boundaries using isovalues of a structural performance criterion and an extended finite element method (XFEM) scheme. In this paper, the Iso-XFEM method is further developed to enable the topology optimization of geometrically nonlinear structures undergoing large deformations. This is achieved by implementing a total Lagrangian finite element formulation and defining a structural performance criterion appropriate for the objective function of the optimization problem. The Iso-XFEM solutions for geometrically nonlinear test-cases implementing linear and nonlinear modelling are compared, and the suitability of nonlinear modelling for the topology optimization of geometrically nonlinear structures is investigated. |
| first_indexed | 2025-11-14T20:11:06Z |
| format | Article |
| id | nottingham-48973 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:11:06Z |
| publishDate | 2018 |
| publisher | Taylor & Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-489732020-05-04T19:27:19Z https://eprints.nottingham.ac.uk/48973/ Topology optimization of geometrically nonlinear structures using an evolutionary optimization method Abdi, Meisam Ashcroft, Ian Wildman, Ricky Iso-XFEM method is an evolutionary optimization method developed in our previous studies to enable the generation of high resolution topology optimised designs suitable for additive manufacture. Conventional approaches for topology optimization require additional post-processing after optimization to generate a manufacturable topology with clearly defined smooth boundaries. Iso-XFEM aims to eliminate this time-consuming post-processing stage by defining the boundaries using isovalues of a structural performance criterion and an extended finite element method (XFEM) scheme. In this paper, the Iso-XFEM method is further developed to enable the topology optimization of geometrically nonlinear structures undergoing large deformations. This is achieved by implementing a total Lagrangian finite element formulation and defining a structural performance criterion appropriate for the objective function of the optimization problem. The Iso-XFEM solutions for geometrically nonlinear test-cases implementing linear and nonlinear modelling are compared, and the suitability of nonlinear modelling for the topology optimization of geometrically nonlinear structures is investigated. Taylor & Francis 2018-01-19 Article PeerReviewed Abdi, Meisam, Ashcroft, Ian and Wildman, Ricky (2018) Topology optimization of geometrically nonlinear structures using an evolutionary optimization method. Engineering Optimization . ISSN 1029-0273 Topology optimization; XFEM; Geometrically nonlinear; Evolutionary; Mesh refinement http://www.tandfonline.com/doi/full/10.1080/0305215X.2017.1418864 doi:10.1080/0305215X.2017.1418864 doi:10.1080/0305215X.2017.1418864 |
| spellingShingle | Topology optimization; XFEM; Geometrically nonlinear; Evolutionary; Mesh refinement Abdi, Meisam Ashcroft, Ian Wildman, Ricky Topology optimization of geometrically nonlinear structures using an evolutionary optimization method |
| title | Topology optimization of geometrically nonlinear structures using an evolutionary optimization method |
| title_full | Topology optimization of geometrically nonlinear structures using an evolutionary optimization method |
| title_fullStr | Topology optimization of geometrically nonlinear structures using an evolutionary optimization method |
| title_full_unstemmed | Topology optimization of geometrically nonlinear structures using an evolutionary optimization method |
| title_short | Topology optimization of geometrically nonlinear structures using an evolutionary optimization method |
| title_sort | topology optimization of geometrically nonlinear structures using an evolutionary optimization method |
| topic | Topology optimization; XFEM; Geometrically nonlinear; Evolutionary; Mesh refinement |
| url | https://eprints.nottingham.ac.uk/48973/ https://eprints.nottingham.ac.uk/48973/ https://eprints.nottingham.ac.uk/48973/ |