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Topology optimization of geometrically nonlinear structures using an evolutionary optimization method

Abdi, Meisam; Ashcroft, Ian; Wildman, Ricky

Authors

Meisam Abdi meisam.abdi@nottingham.ac.uk

IAN ASHCROFT Ian.Ashcroft@nottingham.ac.uk
Professorof Mechanics of Solids

RICKY WILDMAN Ricky.Wildman@nottingham.ac.uk
Professor of Multiphase Flow and Mechanics



Abstract

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.

Journal Article Type Article
Journal Engineering Optimization
Print ISSN 0305-215X
Electronic ISSN 1029-0273
Publisher Taylor & Francis Open
Peer Reviewed Peer Reviewed
APA6 Citation Abdi, M., Ashcroft, I., & Wildman, R. (in press). Topology optimization of geometrically nonlinear structures using an evolutionary optimization method. Engineering Optimization, https://doi.org/10.1080/0305215X.2017.1418864
DOI https://doi.org/10.1080/0305215X.2017.1418864
Keywords Topology optimization; XFEM; Geometrically nonlinear; Evolutionary; Mesh refinement
Publisher URL http://www.tandfonline.com/doi/full/10.1080/0305215X.2017.1418864
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0





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