Topology optimization of geometrically nonlinear structures using an evolutionary optimization method

Abdi, Meisam and Ashcroft, Ian and Wildman, Ricky (2018) Topology optimization of geometrically nonlinear structures using an evolutionary optimization method. Engineering Optimization . ISSN 1029-0273

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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.

Item Type: Article
Keywords: Topology optimization; XFEM; Geometrically nonlinear; Evolutionary; Mesh refinement
Schools/Departments: University of Nottingham, UK > Faculty of Engineering
Identification Number: https://doi.org/10.1080/0305215X.2017.1418864
Depositing User: Eprints, Support
Date Deposited: 08 Jan 2018 09:57
Last Modified: 02 Jul 2018 08:40
URI: http://eprints.nottingham.ac.uk/id/eprint/48973

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