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Design of microstructure and topological optimisation of auxetic materials

Design of microstructure and topological optimisation of auxetic materials

Javadi, Akbar, Faramarzi, Asaad, Farmani, Raziyeh and Evans, Ken (2009) Design of microstructure and topological optimisation of auxetic materials. In: Proceedings of the 17th UK Conference on Computational Mechanics. Spencer Institute of Theoretical and Computational Mechanics, Unversity of Nottingham, Nottingham, UK, pp. 251-260. ISBN 9780853582557

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Abstract

Auxetic materials differ from conventional materials by the manner in which they respond to stretching; they tend to get fatter when stretched, resulting in a negative Poisson’s ratio. This paper presents a numerical methodology for design of periodic microstructure of 2D and 3D auxetic materials with a wide range of different negative Poisson’s ratios. The proposed methodology is based on a combination of finite element method and a genetic algorithm. The problem is formulated as an optimisation problem of finding microstructures with prescribed behavioural requirements. Different microstructures are generated and evolved using a genetic algorithm and the behaviour of each microstructure is analysed using the finite element method to evaluate its fitness in competition with other generated structures. Numerical examples show that it is possible to design a large number of new auxetic materials, each with a different value of negative Poisson’s ratio. The proposed methodology can be used to tailor materials with prescribed values of negative (or positive) Poisson’s ratio. The methodology can also be used to optimise other material properties such as elastic modulus etc.

Item Type: Conference Proceedings
Title of Proceedings: Proceedings of the 17th UK Conference on Computational Mechanics
Additional Information: [1] This paper was first presented at the 17th UK Conference on Computational Mechanics (ACME-UK), held from 4-6 April 2009 in Nottingham, UK.
Uncontrolled Keywords: auxetic materials, negative Poisson’s ratio, topology optimisation, evolutionary algorithm, finite element method
Subjects: T Technology > TJ Mechanical engineering and machinery
Pre-2014 Departments: School of Engineering
School of Engineering > Department of Civil Engineering
Related URLs:
Last Modified: 14 Oct 2016 09:26
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
URI: http://gala.gre.ac.uk/id/eprint/11153

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