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Design of microstructure and topological optimisation of auxetic materials

Design of microstructure and topological optimisation of auxetic materials

Faramarzi, Asaad (2009) Design of microstructure and topological optimisation of auxetic materials. In: IStructE Young Researchers' Conference 2009, 18 Mar 2009, Instiute of Structural Engineers, London, UK.

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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. Auxetic behaviour has been proven to add significant improvement to some materials, especially to their mechanical properties related to Poisson’s ratio such as indentation resistance, shear modulus, impact absorption and damage tolerance. These materials with their improved properties have proved their efficiency in several practical fields such as automotive and aerospace industries, smart mattresses and in manufacturing smart filters. They have also shown great potential to be used in sensors, molecular sieves and as structural materials.

This study 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. Two examples of initial 2D and 3D structures (A, D), the final evolved structures (B, E) and their deformations (C, F) are presented below.

Item Type: Conference or Conference Paper (Poster)
Uncontrolled Keywords: auxetic, genetic algorithm, finite element method
Subjects: T Technology > TH Building construction
Pre-2014 Departments: School of Engineering
School of Engineering > Department of Civil Engineering
Related URLs:
Last Modified: 14 Oct 2016 09:26
URI: http://gala.gre.ac.uk/id/eprint/11160

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